Details

analyze398.0ms (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
9.8%	9.7%	90.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (8.7%)

Results

943.0ms	8256×	body	256	valid
50.0ms	442×	body	256	infinite

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

23×	`fma-def_binary64`
8×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	64	126
2	74	126
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a a (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 c c (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 a a (.f64 c c)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 b b (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 d d (.f64 b b)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

eval1.0ms (0%)

Compiler: Compiled 32 to 14 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

27.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (.f64 a c) (.f64 b d))
✓	27.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series14.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	d	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
506×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`fma-neg_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	264	25
2	3831	25

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (.f64 b d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (.f64 b d))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a c (.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (pow.f64 (.f64 b d) 2) (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (/.f64 1 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 b d) 2) (-.f64 (pow.f64 (.f64 a c) 2) (.f64 a (.f64 c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)) (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 b) d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (pow.f64 (exp.f64 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) d) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a c) 1 (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b d (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d b (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b d) 1 (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) b) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b d)) (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) b) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a c))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
615×	`unswap-sqr_binary64`
532×	`distribute-rgt-in_binary64`
264×	`cancel-sign-sub-inv_binary64`
197×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	3526
1	790	3357
2	2802	3276

Stop Event

1×	node limit

Counts

205 → 183

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 0 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(.f64 1 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 a c (.f64 b d)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) 1) -1)
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (pow.f64 (.f64 b d) 2) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (fma.f64 a c (.f64 b d)) 1)
(.f64 1 (fma.f64 a c (.f64 b d)))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (/.f64 1 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 1 (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 b d) 2) (-.f64 (pow.f64 (.f64 a c) 2) (.f64 a (.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (neg.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 b) d)))
(log.f64 (.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (pow.f64 (exp.f64 a) c)))
(log.f64 (.f64 (pow.f64 (exp.f64 b) d) (+.f64 1 (expm1.f64 (.f64 a c)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 (.f64 a c) 1 (.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 (.f64 b d) 1 (.f64 a c))
(fma.f64 1 (.f64 a c) (.f64 b d))
(fma.f64 1 (.f64 b d) (.f64 a c))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) d) (*.f64 a c))
(fma.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) c) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) a) (.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) b) (.f64 a c))
(fma.f64 (cbrt.f64 (.f64 b d)) (pow.f64 (cbrt.f64 (.f64 b d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (cbrt.f64 (.f64 a c)) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) d) (.f64 a c))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d))
(fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) b) (.f64 a c))
(fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (.f64 b d))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b d))
(fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 b d))
(fma.f64 (.f64 c (cbrt.f64 (.f64 a a))) (cbrt.f64 a) (*.f64 b d))
(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (.f64 a c))
(fma.f64 (.f64 b (sqrt.f64 d)) (sqrt.f64 d) (.f64 a c))
(fma.f64 (.f64 d (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (*.f64 a c))
(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d)) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 (.f64 d d) a) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 (.f64 d b) (.f64 c c)) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) a))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) a)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 (.f64 d d) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (/.f64 (.f64 d b) (.f64 c c)) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) a))))
(-.f64 (+.f64 (/.f64 a c) (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) a)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 (.f64 d d) a) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 (.f64 d b) (.f64 c c)) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) a))))
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(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 b d) 2) (-.f64 (pow.f64 (.f64 a c) 2) (.f64 a (.f64 c (*.f64 b d))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) 1) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (neg.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) 1) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2) 1/2)
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(pow.f64 (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) -1)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) 1) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2)))
(pow.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 b) d)))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (.f64 b d)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (pow.f64 (exp.f64 a) c)))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (.f64 (pow.f64 (exp.f64 b) d) (+.f64 1 (expm1.f64 (.f64 a c)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 c a (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 a c) 1 (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 b d) 1 (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 1 (.f64 a c) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 1 (.f64 b d) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) d) (*.f64 a c))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 d (cbrt.f64 b)) (*.f64 c a))
(fma.f64 (.f64 d (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (*.f64 c a))
(fma.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) c) (*.f64 b d))
(fma.f64 (cbrt.f64 (.f64 a a)) (.f64 c (cbrt.f64 a)) (*.f64 d b))
(fma.f64 c (.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a)) (*.f64 d b))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) a) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) b) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (cbrt.f64 (.f64 b d)) (pow.f64 (cbrt.f64 (.f64 b d)) 2) (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (cbrt.f64 (.f64 a c)) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) d) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) b) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 c (cbrt.f64 (.f64 a a))) (cbrt.f64 a) (*.f64 b d))
(fma.f64 (cbrt.f64 (.f64 a a)) (.f64 c (cbrt.f64 a)) (*.f64 d b))
(fma.f64 c (.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a)) (*.f64 d b))
(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 b (sqrt.f64 d)) (sqrt.f64 d) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 (.f64 d (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (*.f64 a c))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 d (cbrt.f64 b)) (*.f64 c a))
(fma.f64 (.f64 d (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (*.f64 c a))
(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))

eval40.0ms (0.3%)

Compiler: Compiled 3779 to 1189 computations (68.5% saved)

prune40.0ms (0.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	167	16	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	16	184

Error

0.1b

Counts

184 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	33.4b	(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
	41.6b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
▶	45.5b	(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	21.1b	(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
	40.0b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a))) (+.f64 (.f64 c c) (.f64 d d)))
	40.4b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	39.8b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	38.0b	(/.f64 b d)
▶	38.2b	(/.f64 a c)
	32.0b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	35.5b	(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
	27.5b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	40.0b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
▶	17.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 526 to 312 computations (40.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	0.5b	(fma.f64 a c (*.f64 b d))
✓	16.7b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series21.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))
1.0ms	c	@	0	(/.f64 1 (hypot.f64 c d))
1.0ms	d	@	inf	(/.f64 1 (hypot.f64 c d))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
411×	`pow-prod-down_binary64`
310×	`pow2_binary64`
254×	`prod-diff_binary64`
231×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	245	46
2	3129	46

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))

Outputs
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(.f64 b d))) (/.f64 1 (hypot.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 c d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 c d)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (hypot.f64 c d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 c d) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))))))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

478×	`log-prod_binary64`
437×	`times-frac_binary64`
430×	`associate-/l*_binary64`
315×	`associate-r_binary64`
272×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	5913
1	1361	5558
2	6514	5558

Stop Event

1×	node limit

Counts

331 → 337

Calls

Call 1

Inputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(*.f64 -1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (*.f64 -1 a))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
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(/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 (pow.f64 (hypot.f64 c d) 2) (sqrt.f64 (fma.f64 a c (.f64 b d)))))
(/.f64 -1 (.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) (neg.f64 (hypot.f64 c d))))
(/.f64 -1 (.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) 1) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) -1) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) -1) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))
(/.f64 (.f64 -1 (neg.f64 (fma.f64 a c (.f64 b d)))) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 1) (hypot.f64 c d))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 -1 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 a c (.f64 b d)))) (neg.f64 (hypot.f64 c d)))
(pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)) 1/3)
(pow.f64 (.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) -1)
(pow.f64 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) -1)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(pow.f64 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) -1)
(pow.f64 (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (hypot.f64 c d))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1))
(+.f64 0 (/.f64 1 (hypot.f64 c d)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (hypot.f64 c d) -1)
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(pow.f64 (pow.f64 (hypot.f64 c d) -2) 1/2)
(pow.f64 (pow.f64 (hypot.f64 c d) -3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(pow.f64 (pow.f64 (hypot.f64 c d) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(pow.f64 (cbrt.f64 (hypot.f64 c d)) -3)
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
(pow.f64 (neg.f64 (neg.f64 (hypot.f64 c d))) -1)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))

Outputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (*.f64 c a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (*.f64 c a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (*.f64 (/.f64 c d) a))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (+.f64 b (/.f64 (.f64 c a) d)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b))))
(+.f64 b (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 (.f64 c c) d)) (*.f64 (/.f64 c d) a)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(fma.f64 -1/2 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (+.f64 (+.f64 b (/.f64 (.f64 c a) d)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (*.f64 d d) b)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 (.f64 c c) d)) (.f64 (/.f64 c d) a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) b))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (/.f64 b (/.f64 c d)))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a c) (/.f64 (.f64 d d) c)) (/.f64 b (/.f64 c d))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a c) (/.f64 (*.f64 d d) c)) (/.f64 b (/.f64 c d)))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a))
(-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)))
(fma.f64 (.f64 (/.f64 a c) (/.f64 (.f64 d d) c)) 1/2 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (*.f64 -1 a))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (fma.f64 -1 (/.f64 d (/.f64 c b)) (fma.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (neg.f64 a))))
(fma.f64 (.f64 (/.f64 a c) (/.f64 (.f64 d d) c)) 1/2 (-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 d 3) 1/2) (/.f64 (pow.f64 c 3) b)) a) (/.f64 b (/.f64 c d))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (*.f64 c a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
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a
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b
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(/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) 1) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) -1) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) -1) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 -1 (neg.f64 (fma.f64 a c (.f64 b d)))) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 1) (hypot.f64 c d))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (.f64 (cbrt.f64 (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 -1 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 a c (.f64 b d)))) (neg.f64 (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 1)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 4))
(fabs.f64 (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 6))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 3)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(pow.f64 (.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) -1)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) -1)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) -1)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (hypot.f64 c d))) 2)
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 4))
(fabs.f64 (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 6))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(+.f64 0 (/.f64 1 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(/.f64 1 (hypot.f64 c d))
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) 1)
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) 1) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) 1) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(/.f64 1 (hypot.f64 c d))
(*.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(pow.f64 (hypot.f64 c d) -1)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) -2) 1/2)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (pow.f64 (hypot.f64 c d) -3) 1/3)
(cbrt.f64 (pow.f64 (hypot.f64 c d) -3))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(pow.f64 (pow.f64 (hypot.f64 c d) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 3) -1/6) (pow.f64 (pow.f64 (hypot.f64 c d) 3) -1/6))
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) -3)
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
(pow.f64 (neg.f64 (neg.f64 (hypot.f64 c d))) -1)
(/.f64 1 (hypot.f64 c d))
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(/.f64 1 (hypot.f64 c d))
(cbrt.f64 (pow.f64 (hypot.f64 c d) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))
(/.f64 1 (hypot.f64 c d))

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.5b	(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
✓	12.8b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
1.0ms	a	@	inf	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
1.0ms	c	@	0	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
1.0ms	c	@	inf	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
1.0ms	d	@	inf	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`prod-diff_binary64`
548×	`log-prod_binary64`
352×	`pow-prod-down_binary64`
269×	`pow2_binary64`
207×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	202	23
2	3025	23

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2)) (cbrt.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (sqrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) -2) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) -2) (/.f64 c (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))) (cbrt.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 c (/.f64 (hypot.f64 c d) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 (cbrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 (pow.f64 (hypot.f64 c d) 2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) 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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) 2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) (/.f64 (hypot.f64 c d) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 c d) (*.f64 (hypot.f64 c d) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 c d) 1) (/.f64 (hypot.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (hypot.f64 c d) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) 1))))))

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

585×	`log-prod_binary64`
500×	`fma-neg_binary64`
417×	`log-div_binary64`
396×	`associate-*l/_binary64`
377×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2769
1	651	2636
2	2140	2582
3	5924	2582

Stop Event

1×	node limit

Counts

160 → 146

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(+.f64 0 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 a (pow.f64 (hypot.f64 c d) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 a (pow.f64 (hypot.f64 c d) -2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (.f64 a (pow.f64 (hypot.f64 c d) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (.f64 a (pow.f64 (hypot.f64 c d) -2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2))))) 1)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 a (.f64 c (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))) 1)
(.f64 1 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))
(.f64 (cbrt.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (.f64 c a)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (.f64 c a)) -2)) (cbrt.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))))
(*.f64 (neg.f64 c) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(.f64 (.f64 a (pow.f64 (hypot.f64 c d) -2)) c)
(.f64 (.f64 c (pow.f64 (hypot.f64 c d) -2)) a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (sqrt.f64 c) (/.f64 1 a)))
(*.f64 (pow.f64 (hypot.f64 c d) -2) (/.f64 c (/.f64 1 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (cbrt.f64 c) (/.f64 1 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) -2) (/.f64 c (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))) (cbrt.f64 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 c (/.f64 (hypot.f64 c d) (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 (cbrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))))
(.f64 (/.f64 c 1) (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 c (neg.f64 (pow.f64 (hypot.f64 c d) 2))) (neg.f64 a))
(.f64 (.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 1) a)
(.f64 (.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2))) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -3) 1/3)
(pow.f64 (cbrt.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -1)
(pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) 1) -1)
(neg.f64 (/.f64 c (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2))
(log.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6)))
(expm1.f64 (log1p.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(log1p.f64 (expm1.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(exp.f64 (log.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) 1))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) 1)
(*.f64 (pow.f64 (hypot.f64 c d) 2) (/.f64 1 a))
(*.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 a)))
(*.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) (/.f64 (hypot.f64 c d) (sqrt.f64 a)))
(.f64 (hypot.f64 c d) (.f64 (hypot.f64 c d) (/.f64 1 a)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 (neg.f64 a)))
(*.f64 (/.f64 1 a) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) a))
(*.f64 (/.f64 (hypot.f64 c d) 1) (/.f64 (hypot.f64 c d) a))
(*.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (cbrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(*.f64 (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (hypot.f64 c d) (cbrt.f64 a)))
(*.f64 (pow.f64 a -1/2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 a)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) 1)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) 3)
(pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 2)
(pow.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) -1)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)) 1/3)
(pow.f64 (/.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) 1))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a))))
(+.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a)) (fma.f64 -1 (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a)) (/.f64 (.f64 c a) (.f64 d d)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a)) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7)))) (.f64 (*.f64 d d) (/.f64 a (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7)))) (.f64 (*.f64 d d) (/.f64 a (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7)))) (.f64 (*.f64 d d) (/.f64 a (pow.f64 c 3))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a))))
(+.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
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(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (sqrt.f64 c) (/.f64 1 a)))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (pow.f64 (hypot.f64 c d) -2) (/.f64 c (/.f64 1 a)))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (cbrt.f64 c) (/.f64 1 a)))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) -2) (/.f64 c (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))) (cbrt.f64 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(.f64 (cbrt.f64 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(/.f64 (/.f64 c (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 c (/.f64 (hypot.f64 c d) (sqrt.f64 a))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) (/.f64 (cbrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(.f64 (/.f64 c 1) (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 c (neg.f64 (pow.f64 (hypot.f64 c d) 2))) (neg.f64 a))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(.f64 (.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 1) a)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(.f64 (.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(.f64 (.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2))) 1)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2) 1/2)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -3))
(pow.f64 (cbrt.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))) 3)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (sqrt.f64 c) (/.f64 (hypot.f64 c d) (sqrt.f64 a))) 2)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -1)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) 1) -1)
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(neg.f64 (/.f64 c (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -2))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(log.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2))))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6)))
(expm1.f64 (log1p.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(log1p.f64 (expm1.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (log.f64 (.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) 1))
(.f64 c (.f64 a (pow.f64 (hypot.f64 c d) -2)))
(.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) -2))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))) 1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (pow.f64 (hypot.f64 c d) 2) (/.f64 1 a))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) 1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 a)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (.f64 (/.f64 1 a) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) a))
(*.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) (/.f64 (hypot.f64 c d) (sqrt.f64 a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(.f64 (hypot.f64 c d) (.f64 (hypot.f64 c d) (/.f64 1 a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 (neg.f64 a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (/.f64 1 a) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) a))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (.f64 (/.f64 1 a) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) a))
(*.f64 (/.f64 (hypot.f64 c d) 1) (/.f64 (hypot.f64 c d) a))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (cbrt.f64 a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (hypot.f64 c d) (cbrt.f64 a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(*.f64 (pow.f64 a -1/2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 a)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (.f64 (/.f64 1 a) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) a))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) 1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4) 1/2)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) 3)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 2)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(pow.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) -1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)))
(pow.f64 (/.f64 (*.f64 a (pow.f64 (hypot.f64 c d) -2)) 1) -1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 4))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 a)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 6) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)) 1))
(/.f64 (pow.f64 (hypot.f64 c d) 2) a)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.0b	(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
✓	6.2b	(/.f64 c (*.f64 d d))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(/.f64 c (*.f64 d d))
1.0ms	c	@	0	(/.f64 c (*.f64 d d))
1.0ms	a	@	0	(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
1.0ms	b	@	0	(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
1.0ms	c	@	-inf	(/.f64 c (*.f64 d d))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
394×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
262×	`pow2_binary64`
258×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	191	21
2	2618	21

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 c (*.f64 d d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (pow.f64 d -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (pow.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (pow.f64 d -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (pow.f64 d -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4)) (cbrt.f64 (*.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) d) (/.f64 (sqrt.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 d -2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 d -1) (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c d) (pow.f64 d -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) d) (/.f64 (cbrt.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 c (pow.f64 (cbrt.f64 d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (*.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (pow.f64 d -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (pow.f64 d -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 c) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (/.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 d (/.f64 c d)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c (pow.f64 d -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c (pow.f64 d -2))))) (sqrt.f64 (log.f64 (*.f64 c (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (pow.f64 d -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (pow.f64 d -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 c) d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (/.f64 c d))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c (pow.f64 d -2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c a) (*.f64 d d)) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 1) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) (sqrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 3) (pow.f64 (/.f64 b d) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 2) (-.f64 (pow.f64 (/.f64 d b) -2) (*.f64 (/.f64 (*.f64 c a) (*.f64 d d)) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 2) (pow.f64 (/.f64 d b) -2)) (-.f64 (/.f64 (*.f64 c a) (*.f64 d d)) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2)) (cbrt.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))) (sqrt.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (exp.f64 (/.f64 (*.f64 c a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 c a) (*.f64 d d))) (+.f64 1 (expm1.f64 (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 1) 1))))))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

480×	`log-prod_binary64`
359×	`associate-/l*_binary64`
324×	`fma-def_binary64`
321×	`associate-*l/_binary64`
320×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	2038
1	525	1863
2	1518	1860
3	6996	1860

Stop Event

1×	node limit

Counts

156 → 120

Calls

Call 1

Inputs
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 0 (*.f64 c (pow.f64 d -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (pow.f64 d -2)))) 1)
(*.f64 c (pow.f64 d -2))
(.f64 (.f64 c (pow.f64 d -2)) 1)
(.f64 1 (.f64 c (pow.f64 d -2)))
(.f64 (cbrt.f64 (.f64 c (pow.f64 d -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4)) (cbrt.f64 (.f64 c (pow.f64 d -2))))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (pow.f64 d -2)))
(*.f64 (/.f64 (sqrt.f64 c) d) (/.f64 (sqrt.f64 c) d))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (pow.f64 d -2)))
(.f64 (neg.f64 c) (/.f64 1 (.f64 d (neg.f64 d))))
(*.f64 (pow.f64 d -2) c)
(*.f64 (pow.f64 d -1) (/.f64 c d))
(*.f64 (/.f64 c d) (pow.f64 d -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (.f64 d d)))
(.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (.f64 d d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) d) (/.f64 (cbrt.f64 c) d))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 c (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (.f64 c (pow.f64 d -2))))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 d) 2)))
(pow.f64 (*.f64 c (pow.f64 d -2)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 c (pow.f64 d -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 c) d) 2)
(pow.f64 (/.f64 d (/.f64 c d)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 c (pow.f64 d -2))))
(pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 6)) 1/3)
(pow.f64 (/.f64 (/.f64 d (/.f64 c d)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 c (pow.f64 d -2)))) 2)) (cbrt.f64 (log.f64 (.f64 c (pow.f64 d -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 c (pow.f64 d -2))))) (sqrt.f64 (log.f64 (.f64 c (pow.f64 d -2)))))
(neg.f64 (/.f64 c (*.f64 d (neg.f64 d))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 4))
(log.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (pow.f64 d -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 6))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 6)))
(expm1.f64 (log1p.f64 (*.f64 c (pow.f64 d -2))))
(log1p.f64 (expm1.f64 (*.f64 c (pow.f64 d -2))))
(exp.f64 (log.f64 (*.f64 c (pow.f64 d -2))))
(exp.f64 (.f64 (log.f64 (.f64 c (pow.f64 d -2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 c) d) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 c (pow.f64 d -2)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 c) d)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 d (/.f64 c d))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 c (pow.f64 d -2))) 1) 1))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(+.f64 0 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))
(+.f64 (.f64 (/.f64 (.f64 c a) (*.f64 d d)) 1) (/.f64 b d))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 1)
(.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)) 1)
(.f64 1 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))
(.f64 (cbrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(.f64 (sqrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))) (sqrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) (pow.f64 (/.f64 b d) 3)) (+.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2) (-.f64 (pow.f64 (/.f64 d b) -2) (.f64 (/.f64 (.f64 c a) (*.f64 d d)) (/.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2) (pow.f64 (/.f64 d b) -2)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)))
(pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 1)
(pow.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 3)
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2)) (cbrt.f64 (log.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))))) (sqrt.f64 (log.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))))
(sqrt.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (exp.f64 (/.f64 (.f64 c a) (*.f64 d d)))))
(log.f64 (.f64 (exp.f64 (/.f64 (.f64 c a) (*.f64 d d))) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 1) 1))

Outputs
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(*.f64 c (pow.f64 d -2))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (.f64 a (pow.f64 d -2)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (.f64 a (pow.f64 d -2)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (.f64 a (pow.f64 d -2)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (.f64 a (pow.f64 d -2)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (.f64 a (pow.f64 d -2)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (.f64 a (pow.f64 d -2)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
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(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log.f64 (exp.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (exp.f64 (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log.f64 (.f64 (exp.f64 (/.f64 (.f64 c a) (*.f64 d d))) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(cbrt.f64 (pow.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)) 3))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(expm1.f64 (log1p.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log1p.f64 (expm1.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d))) 1))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d)))) 1/3))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))) 3))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c (.f64 (pow.f64 d -2) a) (/.f64 b d)))) 2))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c (*.f64 (pow.f64 d -2) a) (/.f64 b d))) 1) 1))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 c (*.f64 a (pow.f64 d -2)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 c (sqrt.f64 a))
✓	0.3b	(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
✓	12.5b	(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series21.0ms (0.2%)

Counts

3 → 74

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
2.0ms	a	@	-inf	(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
2.0ms	a	@	0	(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	inf	(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	0	(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`prod-diff_binary64`
690×	`log-prod_binary64`
267×	`fma-def_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	274	35
2	3670	31

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
(*.f64 c (sqrt.f64 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c a (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 2) (*.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 c a (*.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 c a (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (fma.f64 c a (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 2) (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c a (*.f64 b d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c a (*.f64 b d))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b d) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c a) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c a (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c a) 1) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 c a (*.f64 b d)))) (cbrt.f64 (exp.f64 (fma.f64 c a (*.f64 b d)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c a (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c a (*.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c a (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c a (*.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c a (*.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c a (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 2) (cbrt.f64 (fma.f64 c a (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (sqrt.f64 (fma.f64 c a (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 b d) 3)) (fma.f64 (*.f64 c a) (*.f64 c a) (-.f64 (pow.f64 (*.f64 b d) 2) (*.f64 (*.f64 c a) (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c a (*.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c a (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c a (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) d) (exp.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (exp.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 c a)) (+.f64 1 (expm1.f64 (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c a (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c a (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c a (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b d))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (sqrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 c (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (sqrt.f64 a))) 1))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-neg_binary64`
496×	`associate-/r*_binary64`
248×	`log-prod_binary64`
182×	`associate-/r/_binary64`
168×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	2554
1	632	2443
2	2726	2379
3	7534	2379

Stop Event

1×	node limit

Counts

160 → 152

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 0 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)
(.f64 (fma.f64 c a (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(.f64 1 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) 2) (.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(.f64 (sqrt.f64 (fma.f64 c a (.f64 b d))) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (hypot.f64 c d)))
(.f64 (neg.f64 (fma.f64 c a (.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 c a (.f64 b d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (fma.f64 c a (.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 c a (.f64 b d))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 c a (.f64 b d)) (hypot.f64 c d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) (hypot.f64 c d)))
(.f64 (/.f64 (fma.f64 c a (.f64 b d)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(.f64 (/.f64 (fma.f64 c a (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
(pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c a (*.f64 b d))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c a (*.f64 b d))) 1) -1)
(neg.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 c a (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))
(+.f64 (.f64 b d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 b d))
(+.f64 0 (fma.f64 c a (*.f64 b d)))
(+.f64 (.f64 (.f64 c a) 1) (*.f64 b d))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 c a (.f64 b d)))) (cbrt.f64 (exp.f64 (fma.f64 c a (.f64 b d)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c a (.f64 b d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c a (.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c a (.f64 b d))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 c a (*.f64 b d)))) 1)
(.f64 (fma.f64 c a (.f64 b d)) 1)
(.f64 1 (fma.f64 c a (.f64 b d)))
(.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (.f64 b d))) 2) (cbrt.f64 (fma.f64 c a (*.f64 b d))))
(.f64 (sqrt.f64 (fma.f64 c a (.f64 b d))) (sqrt.f64 (fma.f64 c a (*.f64 b d))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 b d) 3)) (fma.f64 (.f64 c a) (.f64 c a) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 c a) (.f64 b d)))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 c a) (.f64 b d)))
(pow.f64 (fma.f64 c a (*.f64 b d)) 1)
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 b d))) 3)
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b d))) 2)
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 c a (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 c a (*.f64 b d)))))
(log.f64 (.f64 (pow.f64 (exp.f64 b) d) (exp.f64 (.f64 c a))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (exp.f64 (*.f64 c a))))
(log.f64 (.f64 (exp.f64 (.f64 c a)) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 c a (*.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 c a (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 c a (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b d))) 1))
(+.f64 0 (*.f64 c (sqrt.f64 a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (sqrt.f64 a)))) 1)
(pow.f64 (*.f64 c (sqrt.f64 a)) 1)
(pow.f64 (pow.f64 (*.f64 c (sqrt.f64 a)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 c (sqrt.f64 a))) 3)
(pow.f64 (sqrt.f64 (*.f64 c (sqrt.f64 a))) 2)
(sqrt.f64 (.f64 c (.f64 c a)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (*.f64 c (sqrt.f64 a)) 3))
(cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3/2)))
(cbrt.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 c 3)))
(expm1.f64 (log1p.f64 (*.f64 c (sqrt.f64 a))))
(log1p.f64 (expm1.f64 (*.f64 c (sqrt.f64 a))))
(exp.f64 (log.f64 (*.f64 c (sqrt.f64 a))))
(exp.f64 (.f64 (log.f64 (.f64 c (sqrt.f64 a))) 1))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 a d) d) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 (/.f64 a d) d) c) (.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (.f64 (/.f64 (/.f64 a d) d) c) (-.f64 (-.f64 (/.f64 b d) (.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 b d) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 b d) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 b d) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 a d) d) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 (/.f64 a d) d) c) (.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (.f64 (/.f64 (/.f64 a d) d) c) (-.f64 (-.f64 (/.f64 b d) (.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 a d) d) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 (/.f64 a d) d) c) (.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c))))
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(expm1.f64 (log1p.f64 (fma.f64 c a (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(log1p.f64 (expm1.f64 (fma.f64 c a (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b d))) 1))
(fma.f64 b d (*.f64 c a))
(+.f64 0 (*.f64 c (sqrt.f64 a)))
(*.f64 c (sqrt.f64 a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))))
(*.f64 c (sqrt.f64 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (sqrt.f64 a)))) 1)
(*.f64 c (sqrt.f64 a))
(pow.f64 (*.f64 c (sqrt.f64 a)) 1)
(*.f64 c (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 c (sqrt.f64 a)) 3) 1/3)
(*.f64 c (sqrt.f64 a))
(pow.f64 (cbrt.f64 (*.f64 c (sqrt.f64 a))) 3)
(*.f64 c (sqrt.f64 a))
(pow.f64 (sqrt.f64 (*.f64 c (sqrt.f64 a))) 2)
(*.f64 c (sqrt.f64 a))
(sqrt.f64 (.f64 c (.f64 c a)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) c))
(*.f64 c (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (sqrt.f64 a)))))
(*.f64 c (sqrt.f64 a))
(cbrt.f64 (pow.f64 (*.f64 c (sqrt.f64 a)) 3))
(*.f64 c (sqrt.f64 a))
(cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3/2)))
(cbrt.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 c 3)))
(cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3/2)))
(expm1.f64 (log1p.f64 (*.f64 c (sqrt.f64 a))))
(*.f64 c (sqrt.f64 a))
(log1p.f64 (expm1.f64 (*.f64 c (sqrt.f64 a))))
(*.f64 c (sqrt.f64 a))
(exp.f64 (log.f64 (*.f64 c (sqrt.f64 a))))
(*.f64 c (sqrt.f64 a))
(exp.f64 (.f64 (log.f64 (.f64 c (sqrt.f64 a))) 1))
(*.f64 c (sqrt.f64 a))

eval204.0ms (1.8%)

Compiler: Compiled 15342 to 6063 computations (60.5% saved)

prune179.0ms (1.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	740	15	755
Fresh	8	3	11
Picked	1	0	1
Done	2	2	4
Total	751	20	771

Error

0.1b

Counts

771 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.7b	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
✓	33.4b	(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
	40.0b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 c a) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d)))
	40.4b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
	50.5b	(/.f64 (.f64 c a) (.f64 d d))
▶	49.6b	(/.f64 c (/.f64 (*.f64 c c) a))
	51.3b	(/.f64 c (/.f64 d (/.f64 a d)))
▶	38.0b	(/.f64 b d)
✓	38.2b	(/.f64 a c)
▶	32.0b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	33.1b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	36.7b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
▶	40.0b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	50.0b	(*.f64 (/.f64 c d) (/.f64 a d))
	34.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	44.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
	46.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
	46.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	44.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	51.3b	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 543 to 335 computations (38.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 d (/.f64 c d))
✓	0.2b	(pow.f64 (/.f64 d (/.f64 c d)) -1)
✓	6.0b	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series29.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	d	@	0	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
1.0ms	c	@	-inf	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
1.0ms	a	@	0	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
1.0ms	c	@	0	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
1.0ms	d	@	inf	(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`log-prod_binary64`
353×	`pow-prod-down_binary64`
307×	`pow2_binary64`
244×	`prod-diff_binary64`
221×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	235	28
2	3166	28

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
(pow.f64 (/.f64 d (/.f64 c d)) -1)
(/.f64 d (/.f64 c d))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c (*.f64 d d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (*.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (*.f64 d d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (*.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (*.f64 d d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c d) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 d d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (*.f64 d d))) (cbrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -2)) (cbrt.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c (*.f64 d d))) (sqrt.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (pow.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) 1) (/.f64 (cbrt.f64 (/.f64 c d)) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 c d)) 1) (/.f64 (sqrt.f64 (/.f64 c d)) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 (/.f64 1 d) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d) -2) (/.f64 (/.f64 c d) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (cbrt.f64 (/.f64 c d)) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 c d)) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (/.f64 c d)) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 d)) (pow.f64 d -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 d -1/2) (/.f64 (/.f64 c d) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (/.f64 c d)) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 c d)) (sqrt.f64 d)) (/.f64 (sqrt.f64 (/.f64 c d)) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 d)) (/.f64 (neg.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d c))) -2) (cbrt.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c d) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 d (/.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 d (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 d (/.f64 d c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (/.f64 d (cbrt.f64 (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 c d)) (/.f64 d (sqrt.f64 (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 c) d) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 d) (/.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 c (*.f64 d d))) (sqrt.f64 (*.f64 d (/.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c d) (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c d) 1) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d c))) -2) (cbrt.f64 (*.f64 d (/.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 c d) 3) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 d d))) 1))))))

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simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

574×	`associate-/r/_binary64`
497×	`fma-def_binary64`
414×	`unswap-sqr_binary64`
324×	`associate-/l/_binary64`
256×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	2493
1	711	2314
2	2348	2309

Stop Event

1×	node limit

Counts

224 → 180

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 c (pow.f64 d 2))
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 a (*.f64 d (/.f64 d c))) (/.f64 b d))
(+.f64 0 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
(+.f64 (.f64 (/.f64 a (.f64 d (/.f64 d c))) 1) (/.f64 b d))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))) 1)
(.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d)) 1)
(.f64 1 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d)))
(.f64 (cbrt.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))) (sqrt.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (.f64 d (/.f64 d c))) 3) (pow.f64 (/.f64 b d) 3)) (+.f64 (pow.f64 (/.f64 a (.f64 d (/.f64 d c))) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (.f64 (/.f64 a (.f64 d (/.f64 d c))) (/.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (.f64 d (/.f64 d c))) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (/.f64 a (.f64 d (/.f64 d c))) (/.f64 b d)))
(pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))))
(log.f64 (.f64 (exp.f64 (/.f64 b d)) (exp.f64 (/.f64 a (.f64 d (/.f64 d c))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (exp.f64 (/.f64 a (.f64 d (/.f64 d c))))))
(log.f64 (.f64 (exp.f64 (/.f64 a (.f64 d (/.f64 d c)))) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d))) 1))
(+.f64 0 (/.f64 c (*.f64 d d)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c (.f64 d d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (.f64 d d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (.f64 d d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (.f64 d d))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (*.f64 d d)))) 1)
(*.f64 (/.f64 c d) (/.f64 1 d))
(.f64 (/.f64 c (.f64 d d)) 1)
(.f64 1 (/.f64 c (.f64 d d)))
(.f64 (cbrt.f64 (/.f64 c (.f64 d d))) (cbrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 d (/.f64 d c)) -2)) (cbrt.f64 (/.f64 c (*.f64 d d))))
(*.f64 (/.f64 1 d) (/.f64 c d))
(.f64 (sqrt.f64 (/.f64 c (.f64 d d))) (sqrt.f64 (/.f64 c (*.f64 d d))))
(*.f64 (/.f64 c 1) (pow.f64 d -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) 1) (/.f64 (cbrt.f64 (/.f64 c d)) d))
(*.f64 (/.f64 (sqrt.f64 (/.f64 c d)) 1) (/.f64 (sqrt.f64 (/.f64 c d)) d))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 (/.f64 1 d) (cbrt.f64 d)))
(*.f64 (pow.f64 (cbrt.f64 d) -2) (/.f64 (/.f64 c d) (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (cbrt.f64 (/.f64 c d)) (cbrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 c d)) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (/.f64 c d)) (cbrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (pow.f64 d -3/2))
(*.f64 (pow.f64 d -1/2) (/.f64 (/.f64 c d) (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (/.f64 c d)) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 c d)) (sqrt.f64 d)) (/.f64 (sqrt.f64 (/.f64 c d)) (sqrt.f64 d)))
(*.f64 (/.f64 1 (neg.f64 d)) (/.f64 (neg.f64 c) d))
(.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 d c))) -2) (cbrt.f64 (/.f64 c (*.f64 d d))))
(/.f64 c (*.f64 d d))
(/.f64 (/.f64 c d) d)
(/.f64 -1 (neg.f64 (*.f64 d (/.f64 d c))))
(/.f64 1 (*.f64 d (/.f64 d c)))
(/.f64 1 (/.f64 (*.f64 d (/.f64 d c)) 1))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (/.f64 d (cbrt.f64 (/.f64 c d))))
(/.f64 (sqrt.f64 (/.f64 c d)) (/.f64 d (sqrt.f64 (/.f64 c d))))
(/.f64 (/.f64 (neg.f64 c) d) (neg.f64 d))
(/.f64 (neg.f64 c) (*.f64 d (neg.f64 d)))
(/.f64 (/.f64 1 d) (/.f64 d c))
(/.f64 (sqrt.f64 (/.f64 c (.f64 d d))) (sqrt.f64 (.f64 d (/.f64 d c))))
(/.f64 (/.f64 (/.f64 c d) (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (/.f64 (/.f64 c d) 1) d)
(/.f64 (/.f64 (/.f64 c d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(/.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 d c))) -2) (cbrt.f64 (.f64 d (/.f64 d c))))
(sqrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -2))
(log.f64 (exp.f64 (/.f64 c (*.f64 d d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (*.f64 d d)))))
(cbrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) -3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 c d) 3) (pow.f64 d 3)))
(expm1.f64 (log1p.f64 (/.f64 c (*.f64 d d))))
(log1p.f64 (expm1.f64 (/.f64 c (*.f64 d d))))
(exp.f64 (log.f64 (/.f64 c (*.f64 d d))))
(exp.f64 (.f64 (log.f64 (/.f64 c (.f64 d d))) 1))
(+.f64 0 (*.f64 d (/.f64 d c)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 d (/.f64 d c)))) 1)
(*.f64 d (/.f64 d c))
(.f64 (.f64 d (/.f64 d c)) 1)
(.f64 1 (.f64 d (/.f64 d c)))
(.f64 (cbrt.f64 (.f64 d (/.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d c))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 d c))) 2) (cbrt.f64 (*.f64 d (/.f64 d c))))
(.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (/.f64 d c)))
(.f64 (sqrt.f64 (.f64 d (/.f64 d c))) (sqrt.f64 (*.f64 d (/.f64 d c))))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 d c)))
(*.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 c) d)))
(*.f64 (/.f64 d c) d)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (/.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (/.f64 c d)))
(.f64 (/.f64 1 c) (.f64 d d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) c) (/.f64 (cbrt.f64 d) (/.f64 1 d)))
(*.f64 (/.f64 (sqrt.f64 d) c) (pow.f64 d 3/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) -2) (/.f64 d (cbrt.f64 (/.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (cbrt.f64 (.f64 d (/.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (/.f64 c d))))
(*.f64 (pow.f64 (/.f64 c d) -1/2) (/.f64 d (sqrt.f64 (/.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 (/.f64 c d))) (/.f64 (cbrt.f64 d) (sqrt.f64 (/.f64 c d))))
(*.f64 (/.f64 d 1) (/.f64 d c))
(*.f64 (/.f64 d (neg.f64 c)) (neg.f64 d))
(.f64 (.f64 (/.f64 d c) 1) d)
(.f64 (.f64 (/.f64 d c) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(.f64 (.f64 (/.f64 d c) (sqrt.f64 d)) (sqrt.f64 d))
(pow.f64 (*.f64 d (/.f64 d c)) 1)
(pow.f64 (/.f64 c (*.f64 d d)) -1)
(pow.f64 (pow.f64 (*.f64 d (/.f64 d c)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 d (/.f64 d c)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 d (/.f64 d c)) -3) -1/3)
(pow.f64 (cbrt.f64 (*.f64 d (/.f64 d c))) 3)
(pow.f64 (cbrt.f64 (/.f64 c (*.f64 d d))) -3)
(pow.f64 (sqrt.f64 (*.f64 d (/.f64 d c))) 2)
(pow.f64 (sqrt.f64 (/.f64 c (*.f64 d d))) -2)
(pow.f64 (/.f64 (pow.f64 d 3) (pow.f64 (/.f64 c d) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 c (*.f64 d d)) 1) -1)
(neg.f64 (/.f64 d (/.f64 (neg.f64 c) d)))
(sqrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) 2))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 d (/.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 d (/.f64 d c)) 3))
(cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (/.f64 c d) 3)))
(expm1.f64 (log1p.f64 (*.f64 d (/.f64 d c))))
(log1p.f64 (expm1.f64 (*.f64 d (/.f64 d c))))
(exp.f64 (log.f64 (*.f64 d (/.f64 d c))))
(exp.f64 (.f64 (log.f64 (.f64 d (/.f64 d c))) 1))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (.f64 c (pow.f64 d -2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (.f64 c (pow.f64 d -2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (.f64 c (pow.f64 d -2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d))
(fma.f64 a (*.f64 c (pow.f64 d -2)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
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(/.f64 d (/.f64 c d))
(log1p.f64 (expm1.f64 (*.f64 d (/.f64 d c))))
(*.f64 d (/.f64 d c))
(/.f64 d (/.f64 c d))
(exp.f64 (log.f64 (*.f64 d (/.f64 d c))))
(*.f64 d (/.f64 d c))
(/.f64 d (/.f64 c d))
(exp.f64 (.f64 (log.f64 (.f64 d (/.f64 d c))) 1))
(*.f64 d (/.f64 d c))
(/.f64 d (/.f64 c d))

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.1b	(/.f64 (*.f64 c c) a)
✓	18.6b	(/.f64 c (/.f64 (*.f64 c c) a))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(/.f64 (*.f64 c c) a)
0.0ms	c	@	0	(/.f64 (*.f64 c c) a)
0.0ms	a	@	-inf	(/.f64 c (/.f64 (*.f64 c c) a))
0.0ms	a	@	0	(/.f64 (*.f64 c c) a)
0.0ms	a	@	-inf	(/.f64 (*.f64 c c) a)

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`pow1_binary64`
740×	`add-log-exp_binary64`
740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	14
2	2020	14

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 (*.f64 c c) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (pow.f64 c -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 c -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 c -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (pow.f64 c -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 2) (cbrt.f64 (*.f64 a (pow.f64 c -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (pow.f64 c -1))) (sqrt.f64 (*.f64 a (pow.f64 c -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (/.f64 (*.f64 c (neg.f64 c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 c c)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 c c)) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 c c)) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (*.f64 c c)) (/.f64 (sqrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2)) (/.f64 c (cbrt.f64 (*.f64 (/.f64 c a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2)) (cbrt.f64 (*.f64 a (pow.f64 c -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (*.f64 (/.f64 c a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 c (sqrt.f64 a))) (/.f64 c (/.f64 c (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 c (sqrt.f64 a))) (/.f64 (cbrt.f64 c) (/.f64 c (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c c) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 c (neg.f64 c))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 c -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 c -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 c -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (pow.f64 c -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (pow.f64 c -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (*.f64 c (/.f64 a c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (/.f64 (*.f64 c (neg.f64 c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 c -1)) a))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (*.f64 (/.f64 c a) c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (pow.f64 c -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (pow.f64 c -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (pow.f64 c -1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 c a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c a) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c a) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 c 4)) (*.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2) (cbrt.f64 (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 a)) (/.f64 c (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 c c) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 c c) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c a) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c a) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 c 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c a) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c a) c)))))))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

698×	`unswap-sqr_binary64`
596×	`fma-neg_binary64`
494×	`associate-/r/_binary64`
321×	`associate-/l/_binary64`
300×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	752
1	479	740
2	1816	737
3	7431	737

Stop Event

1×	node limit

Counts

123 → 83

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(-.f64 (+.f64 1 (*.f64 a (pow.f64 c -1))) 1)
(.f64 c (/.f64 a (.f64 c c)))
(*.f64 a (pow.f64 c -1))
(.f64 (.f64 a (pow.f64 c -1)) 1)
(.f64 1 (.f64 a (pow.f64 c -1)))
(.f64 (cbrt.f64 (.f64 a (pow.f64 c -1))) (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 c -1))) 2) (cbrt.f64 (*.f64 a (pow.f64 c -1))))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 a (*.f64 c c))))
(.f64 (sqrt.f64 (.f64 a (pow.f64 c -1))) (sqrt.f64 (*.f64 a (pow.f64 c -1))))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 a (*.f64 c c))))
(.f64 (neg.f64 c) (/.f64 1 (/.f64 (.f64 c (neg.f64 c)) a)))
(.f64 (/.f64 a (.f64 c c)) c)
(*.f64 (pow.f64 c -1) a)
(.f64 (/.f64 c 1) (/.f64 a (.f64 c c)))
(.f64 (/.f64 1 (.f64 c c)) (/.f64 c (/.f64 1 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 c c)) (/.f64 (cbrt.f64 c) (/.f64 1 a)))
(.f64 (/.f64 (sqrt.f64 c) (.f64 c c)) (/.f64 (sqrt.f64 c) (/.f64 1 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (.f64 (/.f64 c a) c)))
(.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (.f64 (/.f64 c a) c)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2)) (/.f64 c (cbrt.f64 (*.f64 (/.f64 c a) c))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2)) (cbrt.f64 (*.f64 a (pow.f64 c -1))))
(.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (*.f64 (/.f64 c a) c))))
(*.f64 (/.f64 1 (/.f64 c (sqrt.f64 a))) (/.f64 c (/.f64 c (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 c (sqrt.f64 a))) (/.f64 (cbrt.f64 c) (/.f64 c (sqrt.f64 a))))
(*.f64 (/.f64 c c) (/.f64 a c))
(.f64 (/.f64 c (.f64 c (neg.f64 c))) (neg.f64 a))
(.f64 (.f64 (pow.f64 c -1) 1) a)
(.f64 (.f64 (pow.f64 c -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 (pow.f64 c -1) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (*.f64 a (pow.f64 c -1)) 1)
(pow.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 3)
(pow.f64 (sqrt.f64 (*.f64 a (pow.f64 c -1))) 2)
(pow.f64 (/.f64 c (*.f64 c (/.f64 a c))) -1)
(neg.f64 (/.f64 c (/.f64 (*.f64 c (neg.f64 c)) a)))
(sqrt.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 c -1)) a))
(cbrt.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (*.f64 (/.f64 c a) c) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (pow.f64 c -1))))
(log1p.f64 (expm1.f64 (*.f64 a (pow.f64 c -1))))
(exp.f64 (log.f64 (*.f64 a (pow.f64 c -1))))
(-.f64 (+.f64 1 (*.f64 (/.f64 c a) c)) 1)
(*.f64 c (/.f64 1 (/.f64 a c)))
(.f64 c (.f64 c (/.f64 1 a)))
(.f64 (.f64 c c) (/.f64 1 a))
(.f64 (.f64 (/.f64 c a) c) 1)
(.f64 1 (.f64 (/.f64 c a) c))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 a)))
(.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2) (cbrt.f64 (*.f64 (/.f64 c a) c)))
(*.f64 (/.f64 c (sqrt.f64 a)) (/.f64 c (sqrt.f64 a)))
(.f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 1 a) (.f64 c c))
(*.f64 (/.f64 c 1) (/.f64 c a))
(*.f64 (/.f64 c a) c)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) a))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 c c) (cbrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 c a) c)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 c c) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 a)))
(pow.f64 (*.f64 (/.f64 c a) c) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 c a) c) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 3)
(pow.f64 (/.f64 c (sqrt.f64 a)) 2)
(pow.f64 (/.f64 a (*.f64 c c)) -1)
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 a)))
(sqrt.f64 (/.f64 (pow.f64 c 4) (*.f64 a a)))
(log.f64 (exp.f64 (*.f64 (/.f64 c a) c)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c a) c) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) c)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) c)))
(exp.f64 (log.f64 (*.f64 (/.f64 c a) c)))

Outputs
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(*.f64 c (/.f64 c a))
(-.f64 (+.f64 1 (*.f64 a (pow.f64 c -1))) 1)
(/.f64 a c)
(.f64 c (/.f64 a (.f64 c c)))
(/.f64 a c)
(*.f64 a (pow.f64 c -1))
(/.f64 a c)
(.f64 (.f64 a (pow.f64 c -1)) 1)
(/.f64 a c)
(.f64 1 (.f64 a (pow.f64 c -1)))
(/.f64 a c)
(.f64 (cbrt.f64 (.f64 a (pow.f64 c -1))) (pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 2))
(/.f64 a c)
(.f64 (pow.f64 (cbrt.f64 (.f64 a (pow.f64 c -1))) 2) (cbrt.f64 (*.f64 a (pow.f64 c -1))))
(/.f64 a c)
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 a (*.f64 c c))))
(/.f64 a c)
(.f64 (sqrt.f64 (.f64 a (pow.f64 c -1))) (sqrt.f64 (*.f64 a (pow.f64 c -1))))
(/.f64 a c)
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 a (*.f64 c c))))
(/.f64 a c)
(.f64 (neg.f64 c) (/.f64 1 (/.f64 (.f64 c (neg.f64 c)) a)))
(/.f64 a c)
(.f64 (/.f64 a (.f64 c c)) c)
(/.f64 a c)
(*.f64 (pow.f64 c -1) a)
(/.f64 a c)
(.f64 (/.f64 c 1) (/.f64 a (.f64 c c)))
(/.f64 a c)
(.f64 (/.f64 1 (.f64 c c)) (/.f64 c (/.f64 1 a)))
(/.f64 a c)
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 c c)) (/.f64 (cbrt.f64 c) (/.f64 1 a)))
(/.f64 a c)
(.f64 (/.f64 (sqrt.f64 c) (.f64 c c)) (/.f64 (sqrt.f64 c) (/.f64 1 a)))
(/.f64 a c)
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (.f64 (/.f64 c a) c)))
(/.f64 a c)
(.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (.f64 (/.f64 c a) c)))
(/.f64 a c)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2)) (/.f64 c (cbrt.f64 (*.f64 (/.f64 c a) c))))
(/.f64 a c)
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2)) (cbrt.f64 (*.f64 a (pow.f64 c -1))))
(.f64 (cbrt.f64 (.f64 a (/.f64 1 c))) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 c a))) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 a c)) (pow.f64 (cbrt.f64 c) 2)) (pow.f64 (cbrt.f64 (.f64 c (/.f64 c a))) 2))
(.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (*.f64 (/.f64 c a) c))))
(/.f64 a c)
(*.f64 (/.f64 1 (/.f64 c (sqrt.f64 a))) (/.f64 c (/.f64 c (sqrt.f64 a))))
(/.f64 a c)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 c (sqrt.f64 a))) (/.f64 (cbrt.f64 c) (/.f64 c (sqrt.f64 a))))
(/.f64 a c)
(*.f64 (/.f64 c c) (/.f64 a c))
(/.f64 a c)
(.f64 (/.f64 c (.f64 c (neg.f64 c))) (neg.f64 a))
(/.f64 a c)
(.f64 (.f64 (pow.f64 c -1) 1) a)
(/.f64 a c)
(.f64 (.f64 (pow.f64 c -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 a c)
(.f64 (.f64 (pow.f64 c -1) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 a c)
(pow.f64 (*.f64 a (pow.f64 c -1)) 1)
(/.f64 a c)
(pow.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 3) 1/3)
(/.f64 a c)
(pow.f64 (cbrt.f64 (*.f64 a (pow.f64 c -1))) 3)
(/.f64 a c)
(pow.f64 (sqrt.f64 (*.f64 a (pow.f64 c -1))) 2)
(/.f64 a c)
(pow.f64 (/.f64 c (*.f64 c (/.f64 a c))) -1)
(/.f64 a c)
(neg.f64 (/.f64 c (/.f64 (*.f64 c (neg.f64 c)) a)))
(/.f64 a c)
(sqrt.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 2))
(/.f64 a c)
(log.f64 (pow.f64 (exp.f64 (pow.f64 c -1)) a))
(/.f64 a c)
(cbrt.f64 (pow.f64 (*.f64 a (pow.f64 c -1)) 3))
(/.f64 a c)
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (*.f64 (/.f64 c a) c) 3)))
(/.f64 a c)
(expm1.f64 (log1p.f64 (*.f64 a (pow.f64 c -1))))
(/.f64 a c)
(log1p.f64 (expm1.f64 (*.f64 a (pow.f64 c -1))))
(/.f64 a c)
(exp.f64 (log.f64 (*.f64 a (pow.f64 c -1))))
(/.f64 a c)
(-.f64 (+.f64 1 (*.f64 (/.f64 c a) c)) 1)
(*.f64 c (/.f64 c a))
(*.f64 c (/.f64 1 (/.f64 a c)))
(*.f64 c (/.f64 c a))
(.f64 c (.f64 c (/.f64 1 a)))
(*.f64 c (/.f64 c a))
(.f64 (.f64 c c) (/.f64 1 a))
(*.f64 c (/.f64 c a))
(.f64 (.f64 (/.f64 c a) c) 1)
(*.f64 c (/.f64 c a))
(.f64 1 (.f64 (/.f64 c a) c))
(*.f64 c (/.f64 c a))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 a)))
(*.f64 (cbrt.f64 (pow.f64 c 4)) (/.f64 (pow.f64 (cbrt.f64 c) 2) a))
(.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 2))
(*.f64 c (/.f64 c a))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c a) c)) 2) (cbrt.f64 (*.f64 (/.f64 c a) c)))
(*.f64 c (/.f64 c a))
(*.f64 (/.f64 c (sqrt.f64 a)) (/.f64 c (sqrt.f64 a)))
(*.f64 c (/.f64 c a))
(.f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 a)))
(*.f64 c (/.f64 c a))
(.f64 (/.f64 1 a) (.f64 c c))
(*.f64 c (/.f64 c a))
(*.f64 (/.f64 c 1) (/.f64 c a))
(*.f64 c (/.f64 c a))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) a))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 a)))
(*.f64 (cbrt.f64 (pow.f64 c 4)) (/.f64 (pow.f64 (cbrt.f64 c) 2) a))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (cbrt.f64 a)))
(*.f64 c (/.f64 c a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 c c) (cbrt.f64 a)))
(*.f64 c (/.f64 c a))
(.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 c a) c)))
(.f64 (cbrt.f64 (.f64 c (/.f64 c a))) (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 c c) (sqrt.f64 a)))
(*.f64 c (/.f64 c a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 a)))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 a)))
(*.f64 (cbrt.f64 (pow.f64 c 4)) (/.f64 (pow.f64 (cbrt.f64 c) 2) a))
(pow.f64 (*.f64 (/.f64 c a) c) 1)
(*.f64 c (/.f64 c a))
(pow.f64 (pow.f64 (*.f64 (/.f64 c a) c) 3) 1/3)
(*.f64 c (/.f64 c a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) c)) 3)
(*.f64 c (/.f64 c a))
(pow.f64 (/.f64 c (sqrt.f64 a)) 2)
(*.f64 c (/.f64 c a))
(pow.f64 (/.f64 a (*.f64 c c)) -1)
(*.f64 c (/.f64 c a))
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 a)))
(*.f64 c (/.f64 c a))
(sqrt.f64 (/.f64 (pow.f64 c 4) (*.f64 a a)))
(fabs.f64 (*.f64 c (/.f64 c a)))
(log.f64 (exp.f64 (*.f64 (/.f64 c a) c)))
(*.f64 c (/.f64 c a))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c a) c) 3))
(*.f64 c (/.f64 c a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 a 3)))
(*.f64 c (/.f64 c a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) c)))
(*.f64 c (/.f64 c a))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) c)))
(*.f64 c (/.f64 c a))
(exp.f64 (log.f64 (*.f64 (/.f64 c a) c)))
(*.f64 c (/.f64 c a))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	2.3b	(*.f64 (/.f64 c d) (/.f64 a d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series12.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(*.f64 (/.f64 c d) (/.f64 a d))
1.0ms	c	@	0	(*.f64 (/.f64 c d) (/.f64 a d))
1.0ms	a	@	inf	(*.f64 (/.f64 c d) (/.f64 a d))
0.0ms	d	@	0	(*.f64 (/.f64 c d) (/.f64 a d))
0.0ms	b	@	0	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
364×	`fma-def_binary64`
318×	`pow2_binary64`
251×	`log-div_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	227	24
2	3639	24

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

Inputs
(*.f64 (/.f64 c d) (/.f64 a d))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 (/.f64 d a) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 d (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 (*.f64 d d) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 d (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c d) (/.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 d c) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 d (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a d) (/.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 d a) (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 d d) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (*.f64 (/.f64 d a) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a d)) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (/.f64 a d))) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1) (*.f64 (neg.f64 d) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) 1) (*.f64 (neg.f64 d) (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 d) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (neg.f64 a)) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (pow.f64 (neg.f64 d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 d) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (neg.f64 c)) (pow.f64 (neg.f64 d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a d)) 1) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a d)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (/.f64 a d)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (/.f64 c d)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a d) (neg.f64 c)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d a) (/.f64 d c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 d d) (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 c a) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 c a) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)) (/.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 2) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (sqrt.f64 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simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
307×	`cancel-sign-sub-inv_binary64`
247×	`div-sub_binary64`
234×	`log-prod_binary64`
217×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	3490
1	933	3428
2	3071	3426

Stop Event

1×	node limit

Counts

230 → 195

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 0 (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 c a) (.f64 d d)))) 1)
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 a (*.f64 d (/.f64 d c)))
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))
(/.f64 1 (*.f64 (/.f64 d a) (/.f64 d c)))
(/.f64 1 (/.f64 (.f64 d d) (.f64 c a)))
(/.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))
(/.f64 (neg.f64 c) (*.f64 (/.f64 d a) (neg.f64 d)))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (neg.f64 (.f64 c a)) (neg.f64 (.f64 d d)))
(/.f64 (neg.f64 (*.f64 c (/.f64 a d))) (neg.f64 d))
(/.f64 (.f64 (neg.f64 c) 1) (.f64 (neg.f64 d) (/.f64 d a)))
(/.f64 (.f64 (neg.f64 a) 1) (.f64 (neg.f64 d) (/.f64 d c)))
(/.f64 (.f64 (neg.f64 c) a) (.f64 (neg.f64 d) d))
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (pow.f64 (neg.f64 d) 2))
(/.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 d) d))
(/.f64 (.f64 a (neg.f64 c)) (.f64 d (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 a) (neg.f64 c)) (pow.f64 (neg.f64 d) 2))
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) 1) d)
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (*.f64 (neg.f64 c) (/.f64 a d)) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 a) (/.f64 c d)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 a d) (neg.f64 c)) (neg.f64 d))
(pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2)
(pow.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -1)
(pow.f64 (*.f64 (/.f64 d a) (/.f64 d c)) -1)
(pow.f64 (/.f64 (.f64 d d) (.f64 c a)) -1)
(pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)
(sqrt.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (.f64 d d)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 c a) (.f64 d d))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 c a) (.f64 d d))))
(exp.f64 (log.f64 (/.f64 (.f64 c a) (.f64 d d))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 c a) (*.f64 d d))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)) (/.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))
(*.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)
(*.f64 1 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (/.f64 1 (fma.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (*.f64 d d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2))))
(.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2)) (/.f64 1 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2)) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 (.f64 c a) (*.f64 d d)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (fma.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (+.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (.f64 b (.f64 c a)) (pow.f64 d 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2)) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))) (neg.f64 (fma.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2))) (neg.f64 (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)))
(/.f64 (fma.f64 (.f64 c a) d (.f64 (*.f64 d d) b)) (pow.f64 d 3))
(/.f64 (fma.f64 (.f64 c (/.f64 a d)) d (.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (.f64 c a) (/.f64 d b) (.f64 (.f64 d d) 1)) (.f64 (*.f64 d d) (/.f64 d b)))
(/.f64 (fma.f64 (.f64 c (/.f64 a d)) (/.f64 d b) d) (.f64 d (/.f64 d b)))
(/.f64 (fma.f64 (.f64 c a) (neg.f64 d) (.f64 (.f64 d d) (neg.f64 b))) (.f64 (*.f64 d d) (neg.f64 d)))
(/.f64 (fma.f64 (.f64 c (/.f64 a d)) (neg.f64 d) (.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 b (.f64 d d) (.f64 d (*.f64 c a))) (pow.f64 d 3))
(/.f64 (fma.f64 d d (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (.f64 d d)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 d d) (.f64 (neg.f64 d) (.f64 c a))) (.f64 (neg.f64 d) (*.f64 d d)))
(/.f64 (fma.f64 b d (.f64 d (.f64 c (/.f64 a d)))) (*.f64 d d))
(/.f64 (+.f64 d (.f64 (/.f64 d b) (.f64 c (/.f64 a d)))) (*.f64 (/.f64 d b) d))
(/.f64 (fma.f64 (neg.f64 b) d (.f64 (neg.f64 d) (.f64 c (/.f64 a d)))) (*.f64 (neg.f64 d) d))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)))
(pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2)) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 (.f64 c a) (*.f64 d d)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d)))) (exp.f64 (/.f64 b d))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d)))) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d))))
(log.f64 (.f64 (exp.f64 (/.f64 b d)) (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d))))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 1))
(fma.f64 c (*.f64 (/.f64 1 d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (*.f64 (/.f64 1 d) (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(fma.f64 (/.f64 (.f64 c a) (.f64 d d)) 1 (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 b d) 1 (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 1 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) (/.f64 1 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (*.f64 (cbrt.f64 (/.f64 a d)) (/.f64 c d)) (/.f64 b d))
(fma.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (*.f64 (cbrt.f64 (/.f64 c d)) (/.f64 a d)) (/.f64 b d))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 d)) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (sqrt.f64 (/.f64 a d)) (*.f64 (sqrt.f64 (/.f64 a d)) (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 c d)) (*.f64 (sqrt.f64 (/.f64 c d)) (/.f64 a d)) (/.f64 b d))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (.f64 c a) (/.f64 1 (.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 1 d) b (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (*.f64 c (/.f64 a d)) (/.f64 1 d) (/.f64 b d))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 (/.f64 a d) (sqrt.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) 1) (/.f64 (cbrt.f64 b) d) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (/.f64 c 1) (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 (/.f64 a d) (cbrt.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) 1) (/.f64 a d) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 c d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 a d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 c d) (sqrt.f64 (/.f64 a d))) (sqrt.f64 (/.f64 a d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 a d) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (cbrt.f64 (/.f64 c d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 a d) (sqrt.f64 (/.f64 c d))) (sqrt.f64 (/.f64 c d)) (/.f64 b d))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
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(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 c d) (/.f64 a d)) 2)) (-.f64 b (*.f64 c (/.f64 a d)))) d)
(.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2)) (/.f64 d (-.f64 b (.f64 a (/.f64 c d)))))
(.f64 d (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2)) (-.f64 b (.f64 a (/.f64 c d)))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d)))) (exp.f64 (/.f64 b d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d)))) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (.f64 (exp.f64 (/.f64 b d)) (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d))))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (*.f64 d d))))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(exp.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 1))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (*.f64 (/.f64 1 d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 a (*.f64 (/.f64 1 d) (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (.f64 c a) (.f64 d d)) 1 (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 b d) 1 (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 1 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) (/.f64 1 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (/.f64 1 d) (cbrt.f64 b)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (cbrt.f64 (.f64 b b)) (/.f64 (cbrt.f64 b) d) (.f64 a (/.f64 c (*.f64 d d))))
(fma.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (*.f64 (cbrt.f64 (/.f64 a d)) (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (*.f64 (cbrt.f64 (/.f64 c d)) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 d)) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 a d)) (*.f64 (sqrt.f64 (/.f64 a d)) (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 b d))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2) (/.f64 b d))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2))
(fma.f64 (sqrt.f64 (/.f64 c d)) (*.f64 (sqrt.f64 (/.f64 c d)) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (neg.f64 b) (/.f64 -1 d) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (.f64 c a) (/.f64 1 (.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 1 d) b (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 c (/.f64 a d)) (/.f64 1 d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 (/.f64 b (cbrt.f64 d)) (pow.f64 (cbrt.f64 d) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d)))
(fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 (/.f64 a d) (sqrt.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) 1) (/.f64 (cbrt.f64 b) d) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (/.f64 1 d) (cbrt.f64 b)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (cbrt.f64 (.f64 b b)) (/.f64 (cbrt.f64 b) d) (.f64 a (/.f64 c (*.f64 d d))))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 b d)) (.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (*.f64 d d))))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)) (/.f64 (.f64 c a) (*.f64 d d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)) (.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)) (.f64 a (/.f64 c (*.f64 d d))))
(fma.f64 (/.f64 c 1) (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 (/.f64 a d) (cbrt.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) 1) (/.f64 a d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 c d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 c d) (sqrt.f64 (/.f64 a d))) (sqrt.f64 (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 a d) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (cbrt.f64 (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 a d) (sqrt.f64 (/.f64 c d))) (sqrt.f64 (/.f64 c d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.4b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
✓	18.9b	(/.f64 d (fma.f64 d d (*.f64 c c)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
1.0ms	d	@	0	(/.f64 d (fma.f64 d d (*.f64 c c)))
1.0ms	b	@	inf	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
1.0ms	d	@	0	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
1.0ms	d	@	inf	(/.f64 d (fma.f64 d d (*.f64 c c)))

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
790×	`add-log-exp_binary64`
790×	`log1p-expm1-u_binary64`
790×	`expm1-log1p-u_binary64`
770×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	165	23
2	2156	23

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 d (fma.f64 d d (*.f64 c c)))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) (pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2) (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (hypot.f64 d c)) (/.f64 (sqrt.f64 d) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2)) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 d) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 d) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (pow.f64 (hypot.f64 d c) 2) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 d b)) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d b) 1) (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d b) (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 d) b) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 d)) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))))))

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

771×	`associate-/l*_binary64`
585×	`unswap-sqr_binary64`
562×	`associate-/r*_binary64`
401×	`fma-def_binary64`
194×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2462
1	505	2231
2	1836	2012

Stop Event

1×	node limit

Counts

114 → 120

Calls

Call 1

Inputs
(/.f64 d (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 d (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2)))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(/.f64 d (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 d (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2)))))
(/.f64 d (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 d (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(-.f64 (+.f64 1 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 1)
(*.f64 d (/.f64 1 (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 1)
(*.f64 1 (/.f64 d (pow.f64 (hypot.f64 d c) 2)))
(.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) (pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2) (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 (sqrt.f64 d) (hypot.f64 d c)) (/.f64 (sqrt.f64 d) (hypot.f64 d c)))
(*.f64 (neg.f64 d) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2)) d)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 d) (hypot.f64 d c)))
(pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 1)
(pow.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 3)
(pow.f64 (/.f64 (sqrt.f64 d) (hypot.f64 d c)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) d) -1)
(neg.f64 (/.f64 d (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
(sqrt.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 2))
(log.f64 (exp.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(log1p.f64 (expm1.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(exp.f64 (log.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(-.f64 (+.f64 1 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)) 1)
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(/.f64 b (/.f64 (pow.f64 (hypot.f64 d c) 2) d))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)))
(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) 2))
(/.f64 (neg.f64 (*.f64 d b)) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (/.f64 (*.f64 d b) 1) (pow.f64 (hypot.f64 d c) 2))
(/.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 d c)) (hypot.f64 d c))
(/.f64 (*.f64 (neg.f64 d) b) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (*.f64 b (neg.f64 d)) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) b))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3) (pow.f64 b 3)))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))
(exp.f64 (log.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))

Outputs
(/.f64 d (pow.f64 c 2))
(/.f64 d (*.f64 c c))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 d (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (/.f64 d (*.f64 c c)))
(-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6))))
(+.f64 (-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 (pow.f64 d 5) (pow.f64 c 6)))
(+.f64 (/.f64 d (*.f64 c c)) (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6))) (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(-.f64 (/.f64 1 d) (/.f64 c (/.f64 (pow.f64 d 3) c)))
(-.f64 (/.f64 1 d) (/.f64 (*.f64 c c) (pow.f64 d 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 4) (pow.f64 d 5))))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 (pow.f64 c 4) (pow.f64 d 5)))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 (*.f64 c c) (pow.f64 d 3))) (/.f64 (pow.f64 c 4) (pow.f64 d 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (neg.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(-.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (-.f64 (/.f64 1 d) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))) (/.f64 c (/.f64 (pow.f64 d 3) c)))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 (*.f64 c c) (pow.f64 d 3))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(-.f64 (/.f64 1 d) (/.f64 c (/.f64 (pow.f64 d 3) c)))
(-.f64 (/.f64 1 d) (/.f64 (*.f64 c c) (pow.f64 d 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 4) (pow.f64 d 5))))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 (pow.f64 c 4) (pow.f64 d 5)))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 (*.f64 c c) (pow.f64 d 3))) (/.f64 (pow.f64 c 4) (pow.f64 d 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (neg.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(-.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (-.f64 (/.f64 1 d) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))) (/.f64 c (/.f64 (pow.f64 d 3) c)))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 (*.f64 c c) (pow.f64 d 3))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(-.f64 (/.f64 1 d) (/.f64 c (/.f64 (pow.f64 d 3) c)))
(-.f64 (/.f64 1 d) (/.f64 (*.f64 c c) (pow.f64 d 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 4) (pow.f64 d 5))))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 (pow.f64 c 4) (pow.f64 d 5)))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 (*.f64 c c) (pow.f64 d 3))) (/.f64 (pow.f64 c 4) (pow.f64 d 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (+.f64 (/.f64 1 d) (neg.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(-.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (-.f64 (/.f64 1 d) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))) (/.f64 c (/.f64 (pow.f64 d 3) c)))
(+.f64 (-.f64 (/.f64 1 d) (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 (*.f64 c c) (pow.f64 d 3))))
(/.f64 d (pow.f64 c 2))
(/.f64 d (*.f64 c c))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 d (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (/.f64 d (*.f64 c c)))
(-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6))))
(+.f64 (-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 (pow.f64 d 5) (pow.f64 c 6)))
(+.f64 (/.f64 d (*.f64 c c)) (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6))) (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(/.f64 d (pow.f64 c 2))
(/.f64 d (*.f64 c c))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 d (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (/.f64 d (*.f64 c c)))
(-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6))))
(+.f64 (-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (/.f64 (pow.f64 d 5) (pow.f64 c 6)))
(+.f64 (/.f64 d (*.f64 c c)) (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 5) (pow.f64 c 6))) (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8))) (-.f64 (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 d (/.f64 (.f64 c c) b)))
(-.f64 (.f64 (/.f64 d (.f64 c c)) b) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b))
(.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 d (/.f64 (.f64 c c) b))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)))
(+.f64 (.f64 (/.f64 d (.f64 c c)) b) (-.f64 (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))
(fma.f64 (/.f64 d (.f64 c c)) b (.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (/.f64 (pow.f64 c 8) b)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)) (.f64 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) b)))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
(-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(+.f64 (-.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) b)) (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b))) (/.f64 b (/.f64 (pow.f64 d 7) (pow.f64 c 6)))) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (.f64 b (+.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
(-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(+.f64 (-.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) b)) (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b))) (/.f64 b (/.f64 (pow.f64 d 7) (pow.f64 c 6)))) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (.f64 b (+.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
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(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 b (/.f64 (pow.f64 (hypot.f64 d c) 2) d))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) 2))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (neg.f64 (*.f64 d b)) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (/.f64 (*.f64 d b) 1) (pow.f64 (hypot.f64 d c) 2))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 d c)) (hypot.f64 d c))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (*.f64 (neg.f64 d) b) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (*.f64 b (neg.f64 d)) (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 1)
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)) 3)
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 2))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2))) b))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b) 3))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3) (pow.f64 b 3)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) 3)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))
(+.f64 (+.f64 1 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) -1)
(+.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)) 0)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))

eval135.0ms (1.2%)

Compiler: Compiled 9254 to 3379 computations (63.5% saved)

prune128.0ms (1.1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	569	9	578
Fresh	2	11	13
Picked	1	0	1
Done	4	2	6
Total	576	22	598

Error

0.1b

Counts

598 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.4b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
	50.5b	(/.f64 (.f64 c a) (.f64 d d))
	54.7b	(/.f64 d (/.f64 (*.f64 c c) b))
	53.3b	(/.f64 d (/.f64 c (/.f64 b c)))
▶	51.3b	(/.f64 c (/.f64 d (/.f64 a d)))
✓	38.0b	(/.f64 b d)
✓	38.2b	(/.f64 a c)
	32.0b	(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
▶	31.7b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	31.8b	(+.f64 (/.f64 b d) (/.f64 1 (/.f64 d (*.f64 c (/.f64 a d)))))
	33.4b	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
	33.1b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
▶	36.7b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
	38.3b	(*.f64 (pow.f64 c -1) a)
	53.8b	(.f64 (/.f64 d (.f64 c c)) b)
	50.0b	(*.f64 (/.f64 c d) (/.f64 a d))
	34.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	44.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
	46.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
	44.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
▶	38.0b	(*.f64 (/.f64 1 d) b)
	51.3b	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 546 to 350 computations (35.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 d c) d)
✓	1.6b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
✓	5.6b	(/.f64 a (*.f64 (/.f64 d c) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series6.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	-inf	(/.f64 a (*.f64 (/.f64 d c) d))
0.0ms	a	@	0	(/.f64 a (*.f64 (/.f64 d c) d))
0.0ms	d	@	inf	(/.f64 a (*.f64 (/.f64 d c) d))
0.0ms	a	@	inf	(/.f64 a (*.f64 (/.f64 d c) d))
0.0ms	b	@	0	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log-prod_binary64`
426×	`fma-def_binary64`
337×	`pow2_binary64`
297×	`log-div_binary64`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	232	31
2	3854	31

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs
(/.f64 a (*.f64 (/.f64 d c) d))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(*.f64 (/.f64 d c) d)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 (/.f64 c d) d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 (/.f64 c d) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))) 2) (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))) (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (/.f64 (neg.f64 (*.f64 d d)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c d) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (*.f64 (/.f64 a d) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c d) d) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a d) c) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) d) (/.f64 (cbrt.f64 a) (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (/.f64 d c)) (/.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (/.f64 d c)) (/.f64 (cbrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 1) (/.f64 (cbrt.f64 a) (/.f64 d (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (/.f64 a (cbrt.f64 (/.f64 d (/.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d (/.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 d (sqrt.f64 c))) (/.f64 a (/.f64 d (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (/.f64 d (sqrt.f64 c))) (/.f64 (cbrt.f64 a) (/.f64 d (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 d d)) c)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (*.f64 (/.f64 a d) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 d (*.f64 (/.f64 a d) c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (/.f64 (neg.f64 (*.f64 d d)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 (/.f64 c d) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 (/.f64 c d) d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 (/.f64 c d) d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 (/.f64 c d) d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 (/.f64 c d) d))) 1))))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 d (/.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 d (/.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 c (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d d) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 d d)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 d) d) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (neg.f64 d)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) (sqrt.f64 c)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (/.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (/.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 d c) 3) (pow.f64 d 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (*.f64 d d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (/.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 d (/.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (/.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 d c) 3) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (/.f64 c d))) 1))))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

391×	`cancel-sign-sub-inv_binary64`
287×	`div-sub_binary64`
263×	`log-prod_binary64`
236×	`fma-neg_binary64`
216×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	4438
1	1142	4302
2	4249	4300

Stop Event

1×	node limit

Counts

289 → 274

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(+.f64 0 (*.f64 a (/.f64 (/.f64 c d) d)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 (/.f64 c d) d)))) 1)
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 (.f64 a (/.f64 (/.f64 c d) d)) 1)
(.f64 1 (.f64 a (/.f64 (/.f64 c d) d)))
(.f64 (cbrt.f64 (.f64 a a)) (*.f64 (cbrt.f64 a) (/.f64 (/.f64 c d) d)))
(.f64 (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) 2) (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 (/.f64 c d) d)))
(*.f64 (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))) (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))))
(.f64 (neg.f64 a) (/.f64 1 (/.f64 (neg.f64 (.f64 d d)) c)))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 (/.f64 1 d) (.f64 (/.f64 a d) c))
(*.f64 (/.f64 (/.f64 c d) d) a)
(.f64 (.f64 (/.f64 a d) c) (/.f64 1 d))
(.f64 (/.f64 (cbrt.f64 (.f64 a a)) d) (/.f64 (cbrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) (/.f64 d c)) (/.f64 (sqrt.f64 a) d))
(.f64 (/.f64 (cbrt.f64 (.f64 a a)) (/.f64 d c)) (/.f64 (cbrt.f64 a) d))
(.f64 (/.f64 (cbrt.f64 (.f64 a a)) 1) (/.f64 (cbrt.f64 a) (/.f64 d (/.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d (/.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (/.f64 a (cbrt.f64 (/.f64 d (/.f64 c d)))))
(.f64 (/.f64 (cbrt.f64 (.f64 a a)) (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d (/.f64 c d)))))
(*.f64 (/.f64 1 (/.f64 d (sqrt.f64 c))) (/.f64 a (/.f64 d (sqrt.f64 c))))
(.f64 (/.f64 (cbrt.f64 (.f64 a a)) (/.f64 d (sqrt.f64 c))) (/.f64 (cbrt.f64 a) (/.f64 d (sqrt.f64 c))))
(.f64 (/.f64 a (.f64 d d)) c)
(pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 (/.f64 c d) d))) 3)
(pow.f64 (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))) 2)
(pow.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 3) 1/3)
(pow.f64 (/.f64 d (*.f64 (/.f64 a d) c)) -1)
(pow.f64 (/.f64 (/.f64 d (*.f64 (/.f64 a d) c)) 1) -1)
(neg.f64 (/.f64 a (/.f64 (neg.f64 (*.f64 d d)) c)))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 2))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 (/.f64 c d) d)))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 (/.f64 c d) d))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 (/.f64 c d) d))))
(exp.f64 (log.f64 (*.f64 a (/.f64 (/.f64 c d) d))))
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 (/.f64 c d) d))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)) (/.f64 (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d)))
(*.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) 1)
(*.f64 1 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)))
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))))
(.f64 (fma.f64 a d (.f64 (/.f64 d (/.f64 c d)) b)) (/.f64 1 (/.f64 (pow.f64 d 3) c)))
(.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 3)) (/.f64 1 (fma.f64 (.f64 a (/.f64 (/.f64 c d) d)) (-.f64 (.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2))))
(.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2)) (/.f64 1 (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 d 3) c) (fma.f64 a d (*.f64 (/.f64 d (/.f64 c d)) b))))
(/.f64 1 (/.f64 (fma.f64 (.f64 a (/.f64 (/.f64 c d) d)) (-.f64 (.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2)) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2))))
(/.f64 (fma.f64 a d (*.f64 (/.f64 d (/.f64 c d)) b)) (/.f64 (pow.f64 d 3) c))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 3)) (fma.f64 (.f64 a (/.f64 (/.f64 c d) d)) (-.f64 (*.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 3)) (+.f64 (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (*.f64 b a) (/.f64 (pow.f64 d 3) c)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2)) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))
(/.f64 (neg.f64 (fma.f64 a d (*.f64 (/.f64 d (/.f64 c d)) b))) (neg.f64 (/.f64 (pow.f64 d 3) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 3))) (neg.f64 (fma.f64 (.f64 a (/.f64 (/.f64 c d) d)) (-.f64 (*.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2))) (neg.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))
(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
(/.f64 (fma.f64 (neg.f64 a) d (.f64 (/.f64 (neg.f64 (.f64 d d)) c) b)) (.f64 (/.f64 (neg.f64 (.f64 d d)) c) d))
(/.f64 (fma.f64 (.f64 (/.f64 a d) c) d (.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 a (/.f64 d b) (/.f64 d (/.f64 c d))) (*.f64 (/.f64 d (/.f64 c d)) (/.f64 d b)))
(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) 1)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) (/.f64 d b)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d b) (.f64 (/.f64 (neg.f64 (.f64 d d)) c) 1)) (.f64 (/.f64 (neg.f64 (.f64 d d)) c) (/.f64 d b)))
(/.f64 (fma.f64 (.f64 (/.f64 a d) c) (/.f64 d b) d) (.f64 d (/.f64 d b)))
(/.f64 (fma.f64 a (neg.f64 d) (.f64 (/.f64 d (/.f64 c d)) (neg.f64 b))) (.f64 (/.f64 d (/.f64 c d)) (neg.f64 d)))
(/.f64 (fma.f64 -1 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) (neg.f64 b))) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) (neg.f64 d)))
(/.f64 (fma.f64 (neg.f64 a) (neg.f64 d) (.f64 (/.f64 (neg.f64 (.f64 d d)) c) (neg.f64 b))) (.f64 (/.f64 (neg.f64 (.f64 d d)) c) (neg.f64 d)))
(/.f64 (fma.f64 (.f64 (/.f64 a d) c) (neg.f64 d) (.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 d (/.f64 d c) (.f64 (/.f64 d b) a)) (.f64 (/.f64 d b) (/.f64 d (/.f64 c d))))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 d (/.f64 c d)) (.f64 (neg.f64 d) a)) (.f64 (neg.f64 d) (/.f64 d (/.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (.f64 (/.f64 a d) c)) d) (.f64 d (/.f64 d (*.f64 (/.f64 a d) c))))
(/.f64 (+.f64 (/.f64 d (.f64 (/.f64 a d) c)) (.f64 (/.f64 d b) 1)) (.f64 (/.f64 d b) (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 d (.f64 (/.f64 a d) c)) (.f64 (neg.f64 d) 1)) (.f64 (neg.f64 d) (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (fma.f64 b (/.f64 (neg.f64 (.f64 d d)) c) (.f64 d (neg.f64 a))) (.f64 d (/.f64 (neg.f64 (.f64 d d)) c)))
(/.f64 (fma.f64 d (neg.f64 (/.f64 d c)) (.f64 (/.f64 d b) (neg.f64 a))) (.f64 (/.f64 d b) (/.f64 (neg.f64 (*.f64 d d)) c)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (neg.f64 (.f64 d d)) c) (.f64 (neg.f64 d) (neg.f64 a))) (.f64 (neg.f64 d) (/.f64 (neg.f64 (.f64 d d)) c)))
(/.f64 (fma.f64 b d (.f64 d (.f64 (/.f64 a d) c))) (*.f64 d d))
(/.f64 (+.f64 d (.f64 (/.f64 d b) (.f64 (/.f64 a d) c))) (*.f64 (/.f64 d b) d))
(/.f64 (fma.f64 (neg.f64 b) d (.f64 (neg.f64 d) (.f64 (/.f64 a d) c))) (*.f64 (neg.f64 d) d))
(/.f64 (-.f64 (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d)))
(/.f64 (/.f64 (fma.f64 a d (*.f64 (/.f64 d (/.f64 c d)) b)) d) (/.f64 d (/.f64 c d)))
(pow.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) 1)
(pow.f64 (pow.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) 3)
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 d 3) c) (fma.f64 a d (*.f64 (/.f64 d (/.f64 c d)) b))) -1)
(pow.f64 (/.f64 (fma.f64 (.f64 a (/.f64 (/.f64 c d) d)) (-.f64 (.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d)) (pow.f64 (/.f64 b d) 2)) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 (/.f64 c d) d)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 (/.f64 c d) d)))) (exp.f64 (/.f64 b d))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d)) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 (/.f64 c d) d)))) (+.f64 1 (expm1.f64 (/.f64 b d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (pow.f64 (exp.f64 a) (/.f64 (/.f64 c d) d))))
(log.f64 (.f64 (exp.f64 (/.f64 b d)) (+.f64 1 (expm1.f64 (.f64 a (/.f64 (/.f64 c d) d))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (+.f64 1 (expm1.f64 (.f64 a (/.f64 (/.f64 c d) d))))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))) 1))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (*.f64 a (/.f64 (/.f64 c d) d)) 1 (/.f64 b d))
(fma.f64 b (/.f64 1 d) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 b d) 1 (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 1 (*.f64 a (/.f64 (/.f64 c d) d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) (/.f64 1 d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) (/.f64 (/.f64 c d) d)) (/.f64 b d))
(fma.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) 2) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) 2) (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) (/.f64 b d))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 d)) (.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 (/.f64 c d) d)) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))) (/.f64 (sqrt.f64 a) (/.f64 d (sqrt.f64 c))) (/.f64 b d))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (neg.f64 a) (/.f64 1 (/.f64 (neg.f64 (*.f64 d d)) c)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 (/.f64 1 d) b (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 1 d) (*.f64 (/.f64 a d) c) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(fma.f64 (*.f64 (/.f64 a d) c) (/.f64 1 d) (/.f64 b d))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) 1) (/.f64 (cbrt.f64 b) d) (.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) d) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 b d)) (.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)) (*.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)) (.f64 a (/.f64 (/.f64 c d) d)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 a a)) d) (/.f64 (cbrt.f64 a) (/.f64 d c)) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 d c)) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 a) (/.f64 d c)) (/.f64 (sqrt.f64 a) d) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (/.f64 d c)) (/.f64 (cbrt.f64 a) d) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 1) (/.f64 (cbrt.f64 a) (/.f64 d (/.f64 c d))) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d (/.f64 c d))) (/.f64 b d))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (/.f64 a (cbrt.f64 (/.f64 d (/.f64 c d)))) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (.f64 a a)) (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (cbrt.f64 (.f64 a (/.f64 (/.f64 c d) d))) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d (/.f64 c d)))) (/.f64 b d))
(fma.f64 (/.f64 1 (/.f64 d (sqrt.f64 c))) (/.f64 a (/.f64 d (sqrt.f64 c))) (/.f64 b d))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (/.f64 d (sqrt.f64 c))) (/.f64 (cbrt.f64 a) (/.f64 d (sqrt.f64 c))) (/.f64 b d))
(fma.f64 (/.f64 a (*.f64 d d)) c (/.f64 b d))
(+.f64 0 (/.f64 d (/.f64 c d)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d (/.f64 c d)))) 1)
(/.f64 d (/.f64 c d))
(/.f64 1 (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 d d) c)
(/.f64 (neg.f64 (*.f64 d d)) (neg.f64 c))
(/.f64 (*.f64 (neg.f64 d) d) (neg.f64 c))
(/.f64 (*.f64 d (neg.f64 d)) (neg.f64 c))
(/.f64 (/.f64 (*.f64 d d) 1) c)
(/.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))
(/.f64 (/.f64 (*.f64 d d) (sqrt.f64 c)) (sqrt.f64 c))
(pow.f64 (/.f64 d (/.f64 c d)) 1)
(pow.f64 (pow.f64 (/.f64 d (/.f64 c d)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 d (/.f64 c d))) 3)
(pow.f64 (/.f64 d (sqrt.f64 c)) 2)
(pow.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d c) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 d c) 3) (pow.f64 d 3)) 1/3)
(pow.f64 (/.f64 c (*.f64 d d)) -1)
(sqrt.f64 (pow.f64 (/.f64 d (/.f64 c d)) 2))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 d (/.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 d (/.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d c) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d c) 3) (pow.f64 d 3)))
(expm1.f64 (log1p.f64 (/.f64 d (/.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 d (/.f64 c d))))
(exp.f64 (log.f64 (/.f64 d (/.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 d (/.f64 c d))) 1))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
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(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(pow.f64 (/.f64 c (*.f64 d d)) -1)
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(sqrt.f64 (pow.f64 (/.f64 d (/.f64 c d)) 2))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 d c)))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 d (/.f64 c d)))))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(cbrt.f64 (pow.f64 (/.f64 d (/.f64 c d)) 3))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d c) 3)))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d c) 3) (pow.f64 d 3)))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(expm1.f64 (log1p.f64 (/.f64 d (/.f64 c d))))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(log1p.f64 (expm1.f64 (/.f64 d (/.f64 c d))))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(exp.f64 (log.f64 (/.f64 d (/.f64 c d))))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(exp.f64 (*.f64 (log.f64 (/.f64 d (/.f64 c d))) 1))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 d) b)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	d	@	0	(*.f64 (/.f64 1 d) b)
0.0ms	b	@	inf	(*.f64 (/.f64 1 d) b)
0.0ms	b	@	-inf	(*.f64 (/.f64 1 d) b)
0.0ms	d	@	-inf	(*.f64 (/.f64 1 d) b)
0.0ms	d	@	inf	(*.f64 (/.f64 1 d) b)

rewrite36.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
492×	`add-log-exp_binary64`
492×	`log1p-expm1-u_binary64`
492×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	118	4
2	1386	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 1 d) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 d (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 b) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b d) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b d)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b d) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b d)))))))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
563×	`log-div_binary64`
370×	`associate-/l/_binary64`
297×	`log-prod_binary64`
227×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	180
1	119	180
2	369	180
3	1950	180
4	6644	180

Stop Event

1×	node limit

Counts

45 → 21

Calls

Call 1

Inputs
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(-.f64 (+.f64 1 (/.f64 b d)) 1)
(/.f64 1 (/.f64 d b))
(/.f64 b d)
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 d (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 b)))
(/.f64 (neg.f64 b) (neg.f64 d))
(/.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (/.f64 b 1) d)
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(/.f64 (*.f64 -1 b) (neg.f64 d))
(/.f64 (*.f64 b -1) (neg.f64 d))
(pow.f64 (/.f64 b d) 1)
(pow.f64 (pow.f64 (/.f64 b d) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 b d)) 3)
(pow.f64 (sqrt.f64 (/.f64 b d)) 2)
(sqrt.f64 (pow.f64 (/.f64 b d) 2))
(log.f64 (exp.f64 (/.f64 b d)))
(cbrt.f64 (pow.f64 (/.f64 b d) 3))
(expm1.f64 (log1p.f64 (/.f64 b d)))
(log1p.f64 (expm1.f64 (/.f64 b d)))
(exp.f64 (log.f64 (/.f64 b d)))

Outputs
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(-.f64 (+.f64 1 (/.f64 b d)) 1)
(/.f64 b d)
(/.f64 1 (/.f64 d b))
(/.f64 b d)
(/.f64 b d)
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 d (cbrt.f64 b)))
(/.f64 b d)
(/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 b)))
(/.f64 b d)
(/.f64 (neg.f64 b) (neg.f64 d))
(/.f64 b d)
(/.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 b d)
(/.f64 (/.f64 b 1) d)
(/.f64 b d)
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(/.f64 b d)
(/.f64 (*.f64 -1 b) (neg.f64 d))
(/.f64 b d)
(/.f64 (*.f64 b -1) (neg.f64 d))
(/.f64 b d)
(pow.f64 (/.f64 b d) 1)
(/.f64 b d)
(pow.f64 (pow.f64 (/.f64 b d) 3) 1/3)
(/.f64 b d)
(pow.f64 (cbrt.f64 (/.f64 b d)) 3)
(/.f64 b d)
(pow.f64 (sqrt.f64 (/.f64 b d)) 2)
(/.f64 b d)
(sqrt.f64 (pow.f64 (/.f64 b d) 2))
(/.f64 b d)
(log.f64 (exp.f64 (/.f64 b d)))
(/.f64 b d)
(cbrt.f64 (pow.f64 (/.f64 b d) 3))
(/.f64 b d)
(expm1.f64 (log1p.f64 (/.f64 b d)))
(/.f64 b d)
(log1p.f64 (expm1.f64 (/.f64 b d)))
(/.f64 b d)
(exp.f64 (log.f64 (/.f64 b d)))
(/.f64 b d)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 d (/.f64 a d))
✓	6.8b	(/.f64 c (/.f64 d (/.f64 a d)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 d (/.f64 a d))
0.0ms	a	@	0	(/.f64 d (/.f64 a d))
0.0ms	d	@	inf	(/.f64 d (/.f64 a d))
0.0ms	d	@	0	(/.f64 d (/.f64 a d))
0.0ms	c	@	0	(/.f64 c (/.f64 d (/.f64 a d)))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
891×	`add-log-exp_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
82×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2424	17

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 d (/.f64 a d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a (*.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a d) (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a (*.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 2) (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) (sqrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (neg.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 d d)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c d) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) d) (/.f64 (sqrt.f64 c) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) d) (/.f64 (cbrt.f64 c) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2)) (/.f64 c (cbrt.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2)) (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 d d) a))) (/.f64 c (sqrt.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 (*.f64 d d) a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 d a)) (/.f64 (cbrt.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (/.f64 d a)) (/.f64 (sqrt.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 d)) (/.f64 (neg.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c d) a) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c d) 1) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c d) (sqrt.f64 (/.f64 a d))) (sqrt.f64 (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 d d) a) c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (neg.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a (*.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (*.f64 d d) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 d d) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 d d) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2) (cbrt.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 d d) a)) (sqrt.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d a) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) a) (/.f64 (sqrt.f64 d) (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 d (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) a) (/.f64 (cbrt.f64 d) (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (/.f64 d (cbrt.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 a d))) (/.f64 d (sqrt.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 (/.f64 a d))) (/.f64 (cbrt.f64 d) (sqrt.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (neg.f64 a)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 d a) 1) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 d a) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 d a) (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 d d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 d d) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 d d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (/.f64 (neg.f64 a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (/.f64 a d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 d d) a)))))))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

821×	`log-div_binary64`
516×	`unswap-sqr_binary64`
433×	`associate-/l/_binary64`
312×	`*-commutative_binary64`
289×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	206	1328
1	540	1319
2	2053	1319
3	7595	1319

Stop Event

1×	node limit

Counts

145 → 99

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(-.f64 (exp.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d))))) 1)
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 (/.f64 a d) (/.f64 c d))
(.f64 (.f64 c (/.f64 a (*.f64 d d))) 1)
(.f64 1 (.f64 c (/.f64 a (*.f64 d d))))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 a (*.f64 d d))))
(.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (pow.f64 (cbrt.f64 (.f64 c (/.f64 a (*.f64 d d)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 2) (cbrt.f64 (.f64 c (/.f64 a (*.f64 d d)))))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 a (*.f64 d d))))
(.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (sqrt.f64 (.f64 c (/.f64 a (*.f64 d d)))))
(.f64 (neg.f64 c) (/.f64 1 (neg.f64 (/.f64 (.f64 d d) a))))
(.f64 (/.f64 a (.f64 d d)) c)
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 (.f64 d d) a)))
(.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 (.f64 d d) a)))
(*.f64 (/.f64 (sqrt.f64 c) d) (/.f64 (sqrt.f64 c) (/.f64 d a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) d) (/.f64 (cbrt.f64 c) (/.f64 d a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2)) (/.f64 c (cbrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2)) (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))))
(.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (.f64 d d) a))) (/.f64 c (sqrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 (.f64 d d) a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 (*.f64 d d) a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 d a)) (/.f64 (cbrt.f64 c) d))
(*.f64 (/.f64 (sqrt.f64 c) (/.f64 d a)) (/.f64 (sqrt.f64 c) d))
(.f64 (/.f64 c 1) (/.f64 a (.f64 d d)))
(*.f64 (/.f64 c (neg.f64 d)) (/.f64 (neg.f64 a) d))
(.f64 (.f64 (/.f64 c d) a) (/.f64 1 d))
(.f64 (.f64 (/.f64 c d) 1) (/.f64 a d))
(.f64 (.f64 (/.f64 c d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 a d)))
(.f64 (.f64 (/.f64 c d) (sqrt.f64 (/.f64 a d))) (sqrt.f64 (/.f64 a d)))
(pow.f64 (.f64 c (/.f64 a (.f64 d d))) 1)
(pow.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 3)
(pow.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 2)
(pow.f64 (/.f64 (/.f64 (*.f64 d d) a) c) -1)
(neg.f64 (/.f64 c (neg.f64 (/.f64 (*.f64 d d) a))))
(sqrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 a (*.f64 d d))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (/.f64 a (.f64 d d))))))
(cbrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (*.f64 d d) a) 3)))
(expm1.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d)))))
(log1p.f64 (expm1.f64 (.f64 c (/.f64 a (.f64 d d)))))
(exp.f64 (log.f64 (.f64 c (/.f64 a (.f64 d d)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 d d) a))) 1)
(*.f64 d (/.f64 d a))
(.f64 (/.f64 (.f64 d d) a) 1)
(.f64 1 (/.f64 (.f64 d d) a))
(.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2) (cbrt.f64 (/.f64 (*.f64 d d) a)))
(.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (/.f64 d a)))
(.f64 (sqrt.f64 (/.f64 (.f64 d d) a)) (sqrt.f64 (/.f64 (*.f64 d d) a)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 d a)))
(*.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 a) d)))
(*.f64 (/.f64 d a) d)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (/.f64 a d)))
(*.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (/.f64 a d)))
(*.f64 (/.f64 (sqrt.f64 d) a) (/.f64 (sqrt.f64 d) (/.f64 1 d)))
(*.f64 (/.f64 1 a) (/.f64 d (/.f64 1 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) a) (/.f64 (cbrt.f64 d) (/.f64 1 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (/.f64 d (cbrt.f64 (/.f64 a d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 (.f64 d d) a)))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (/.f64 a d))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a d))) (/.f64 d (sqrt.f64 (/.f64 a d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 (/.f64 a d))) (/.f64 (cbrt.f64 d) (sqrt.f64 (/.f64 a d))))
(*.f64 (/.f64 d 1) (/.f64 d a))
(*.f64 (/.f64 d (neg.f64 a)) (neg.f64 d))
(.f64 (.f64 (/.f64 d a) 1) d)
(.f64 (.f64 (/.f64 d a) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(.f64 (.f64 (/.f64 d a) (sqrt.f64 d)) (sqrt.f64 d))
(pow.f64 (/.f64 (*.f64 d d) a) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 d d) a)) 2)
(pow.f64 (/.f64 a (*.f64 d d)) -1)
(neg.f64 (/.f64 d (/.f64 (neg.f64 a) d)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 d d) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d d) a))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3))
(cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (/.f64 a d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 d d) a)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 d d) a)))
(exp.f64 (log.f64 (/.f64 (*.f64 d d) a)))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(-.f64 (exp.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d))))) 1)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 a d) (/.f64 c d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (.f64 c (/.f64 a (*.f64 d d))) 1)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 1 (.f64 c (/.f64 a (*.f64 d d))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 a (*.f64 d d))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (pow.f64 (cbrt.f64 (.f64 c (/.f64 a (*.f64 d d)))) 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 2) (cbrt.f64 (.f64 c (/.f64 a (*.f64 d d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 a (*.f64 d d))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (sqrt.f64 (.f64 c (/.f64 a (*.f64 d d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (neg.f64 c) (/.f64 1 (neg.f64 (/.f64 (.f64 d d) a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 a (.f64 d d)) c)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 (.f64 d d) a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 (.f64 d d) a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 (sqrt.f64 c) d) (/.f64 (sqrt.f64 c) (/.f64 d a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) d) (/.f64 (cbrt.f64 c) (/.f64 d a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2)) (/.f64 c (cbrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2)) (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))))
(.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (.f64 d (/.f64 d a))) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (/.f64 a (/.f64 (.f64 d d) c)))) (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d a))) 2))
(/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 d a))) 2) (cbrt.f64 (/.f64 c (.f64 d (/.f64 d a))))))
(.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (.f64 d d) a))) (/.f64 c (sqrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 (.f64 d d) a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 (*.f64 d d) a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 d a)) (/.f64 (cbrt.f64 c) d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 (sqrt.f64 c) (/.f64 d a)) (/.f64 (sqrt.f64 c) d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (/.f64 c 1) (/.f64 a (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 c (neg.f64 d)) (/.f64 (neg.f64 a) d))
(/.f64 c (*.f64 (neg.f64 d) (/.f64 d (neg.f64 a))))
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
(.f64 (.f64 (/.f64 c d) a) (/.f64 1 d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (.f64 (/.f64 c d) 1) (/.f64 a d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (.f64 (/.f64 c d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 a d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 (.f64 (/.f64 c d) (sqrt.f64 (/.f64 a d))) (sqrt.f64 (/.f64 a d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(pow.f64 (.f64 c (/.f64 a (.f64 d d))) 1)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(pow.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) 1/3)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(pow.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 3)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(pow.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 2)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(pow.f64 (/.f64 (/.f64 (*.f64 d d) a) c) -1)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(neg.f64 (/.f64 c (neg.f64 (/.f64 (*.f64 d d) a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(sqrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(log.f64 (pow.f64 (exp.f64 c) (/.f64 a (*.f64 d d))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (/.f64 a (.f64 d d))))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(cbrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 (*.f64 d d) a) 3)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(expm1.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(log1p.f64 (expm1.f64 (.f64 c (/.f64 a (.f64 d d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(exp.f64 (log.f64 (.f64 c (/.f64 a (.f64 d d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (*.f64 d (/.f64 d a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 d d) a))) 1)
(*.f64 d (/.f64 d a))
(*.f64 d (/.f64 d a))
(.f64 (/.f64 (.f64 d d) a) 1)
(*.f64 d (/.f64 d a))
(.f64 1 (/.f64 (.f64 d d) a))
(*.f64 d (/.f64 d a))
(.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2))
(*.f64 d (/.f64 d a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 d d) a)) 2) (cbrt.f64 (/.f64 (*.f64 d d) a)))
(*.f64 d (/.f64 d a))
(.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (/.f64 d a)))
(*.f64 d (/.f64 d a))
(.f64 (sqrt.f64 (/.f64 (.f64 d d) a)) (sqrt.f64 (/.f64 (*.f64 d d) a)))
(*.f64 d (/.f64 d a))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 d a)))
(*.f64 d (/.f64 d a))
(*.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 a) d)))
(/.f64 (*.f64 (neg.f64 d) 1) (/.f64 (neg.f64 a) d))
(*.f64 (neg.f64 d) (/.f64 d (neg.f64 a)))
(*.f64 (/.f64 d a) d)
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (/.f64 a d)))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (/.f64 a d)))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 (sqrt.f64 d) a) (/.f64 (sqrt.f64 d) (/.f64 1 d)))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 1 a) (/.f64 d (/.f64 1 d)))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) a) (/.f64 (cbrt.f64 d) (/.f64 1 d)))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (/.f64 d (cbrt.f64 (/.f64 a d))))
(*.f64 d (/.f64 d a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (cbrt.f64 (/.f64 (.f64 d d) a)))
(.f64 (cbrt.f64 (.f64 d (/.f64 d a))) (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 d (/.f64 d a))) (pow.f64 (cbrt.f64 d) 2)) (pow.f64 (cbrt.f64 (/.f64 a d)) 2))
(/.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (cbrt.f64 (*.f64 d (/.f64 d a)))))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (/.f64 a d))))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a d))) (/.f64 d (sqrt.f64 (/.f64 a d))))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 (/.f64 a d))) (/.f64 (cbrt.f64 d) (sqrt.f64 (/.f64 a d))))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 d 1) (/.f64 d a))
(*.f64 d (/.f64 d a))
(*.f64 (/.f64 d (neg.f64 a)) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 d) 1) (/.f64 (neg.f64 a) d))
(*.f64 (neg.f64 d) (/.f64 d (neg.f64 a)))
(.f64 (.f64 (/.f64 d a) 1) d)
(*.f64 d (/.f64 d a))
(.f64 (.f64 (/.f64 d a) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(*.f64 d (/.f64 d a))
(.f64 (.f64 (/.f64 d a) (sqrt.f64 d)) (sqrt.f64 d))
(*.f64 d (/.f64 d a))
(pow.f64 (/.f64 (*.f64 d d) a) 1)
(*.f64 d (/.f64 d a))
(pow.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3) 1/3)
(*.f64 d (/.f64 d a))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 3)
(*.f64 d (/.f64 d a))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 d d) a)) 2)
(*.f64 d (/.f64 d a))
(pow.f64 (/.f64 a (*.f64 d d)) -1)
(*.f64 d (/.f64 d a))
(neg.f64 (/.f64 d (/.f64 (neg.f64 a) d)))
(/.f64 (*.f64 (neg.f64 d) 1) (/.f64 (neg.f64 a) d))
(*.f64 (neg.f64 d) (/.f64 d (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 2))
(*.f64 d (/.f64 d a))
(log.f64 (exp.f64 (/.f64 (*.f64 d d) a)))
(*.f64 d (/.f64 d a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d d) a))))
(*.f64 d (/.f64 d a))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3))
(*.f64 d (/.f64 d a))
(cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (/.f64 a d) 3)))
(*.f64 d (/.f64 d a))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 d d) a)))
(*.f64 d (/.f64 d a))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 d d) a)))
(*.f64 d (/.f64 d a))
(exp.f64 (log.f64 (/.f64 (*.f64 d d) a)))
(*.f64 d (/.f64 d a))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.9b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
✓	5.5b	(.f64 (/.f64 b (.f64 c c)) d)
✓	9.4b	(/.f64 b (*.f64 c c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series15.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	d	@	0	(.f64 (/.f64 b (.f64 c c)) d)
1.0ms	b	@	inf	(/.f64 b (*.f64 c c))
1.0ms	d	@	inf	(.f64 (/.f64 b (.f64 c c)) d)
1.0ms	b	@	0	(/.f64 b (*.f64 c c))
1.0ms	b	@	0	(.f64 (/.f64 b (.f64 c c)) d)

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
441×	`pow-prod-down_binary64`
347×	`fma-def_binary64`
310×	`pow2_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	223	31
2	3378	31

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs
(/.f64 b (*.f64 c c))
(.f64 (/.f64 b (.f64 c c)) d)
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 b d) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 (pow.f64 c -2) d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 (pow.f64 c -2) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 (pow.f64 c -2) d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 (pow.f64 c -2) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 b d) (pow.f64 c -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (*.f64 c c) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (/.f64 (*.f64 c c) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 c c) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b d)) (*.f64 c (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b d) c) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b d) 1) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b d) (*.f64 (cbrt.f64 c) c)) (pow.f64 (cbrt.f64 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) d) (*.f64 c (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b c) d) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (neg.f64 b)) (*.f64 c (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (/.f64 b c)) c)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b d) (pow.f64 c -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c c) (*.f64 b d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 (pow.f64 c -2) d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 b d) (pow.f64 c -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 a c) 2) (-.f64 (/.f64 a c) (*.f64 (*.f64 b d) (pow.f64 c -2)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4) (-.f64 (/.f64 a c) (*.f64 (*.f64 b d) (pow.f64 c -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))) (cbrt.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 2)) (cbrt.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 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simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

349×	`associate-/l/_binary64`
339×	`distribute-rgt-in_binary64`
320×	`distribute-lft-in_binary64`
314×	`unswap-sqr_binary64`
204×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	3669
1	894	3611
2	2829	3605

Stop Event

1×	node limit

Counts

259 → 213

Calls

Call 1

Inputs
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 0 (*.f64 b (pow.f64 c -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (pow.f64 c -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (pow.f64 c -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (pow.f64 c -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (pow.f64 c -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (pow.f64 c -2)))) 1)
(*.f64 b (pow.f64 c -2))
(.f64 (.f64 b (pow.f64 c -2)) 1)
(.f64 1 (.f64 b (pow.f64 c -2)))
(.f64 (cbrt.f64 (.f64 b (pow.f64 c -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (cbrt.f64 (.f64 b (pow.f64 c -2))))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (pow.f64 c -2)))
(*.f64 (/.f64 (sqrt.f64 b) c) (/.f64 (sqrt.f64 b) c))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (pow.f64 c -2)))
(.f64 (neg.f64 b) (/.f64 1 (.f64 c (neg.f64 c))))
(*.f64 (pow.f64 c -2) b)
(*.f64 (/.f64 1 c) (/.f64 b c))
(*.f64 (/.f64 b c) (/.f64 1 c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) c))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (.f64 c c)))
(.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (.f64 c c)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 c) c)) (/.f64 b (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 c) c)) (cbrt.f64 (*.f64 b (pow.f64 c -2))))
(.f64 (/.f64 (sqrt.f64 b) (.f64 (cbrt.f64 c) c)) (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 c) 2)))
(pow.f64 (*.f64 b (pow.f64 c -2)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 b (pow.f64 c -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 b) c) 2)
(pow.f64 (/.f64 (*.f64 c c) b) -1)
(pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 c 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 c c) b) 1) -1)
(neg.f64 (/.f64 b (*.f64 c (neg.f64 c))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4))
(log.f64 (pow.f64 (exp.f64 b) (pow.f64 c -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (pow.f64 c -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 6))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 c 6)))
(expm1.f64 (log1p.f64 (*.f64 b (pow.f64 c -2))))
(log1p.f64 (expm1.f64 (*.f64 b (pow.f64 c -2))))
(exp.f64 (log.f64 (*.f64 b (pow.f64 c -2))))
(exp.f64 (.f64 (log.f64 (.f64 b (pow.f64 c -2))) 1))
(+.f64 0 (.f64 (.f64 b d) (pow.f64 c -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (.f64 (pow.f64 c -2) d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (.f64 (pow.f64 c -2) d)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (.f64 (pow.f64 c -2) d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (.f64 (pow.f64 c -2) d)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 b d) (pow.f64 c -2)))) 1)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 1 (/.f64 (.f64 c c) (.f64 b d)))
(/.f64 (.f64 b d) (.f64 c c))
(/.f64 (neg.f64 (.f64 b d)) (.f64 c (neg.f64 c)))
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (.f64 b d) 1) (.f64 c c))
(/.f64 (/.f64 (.f64 b d) (.f64 (cbrt.f64 c) c)) (pow.f64 (cbrt.f64 c) 2))
(/.f64 (.f64 (neg.f64 b) d) (.f64 c (neg.f64 c)))
(/.f64 (*.f64 (/.f64 b c) d) c)
(/.f64 (.f64 d (neg.f64 b)) (.f64 c (neg.f64 c)))
(/.f64 (*.f64 d (/.f64 b c)) c)
(pow.f64 (.f64 (.f64 b d) (pow.f64 c -2)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4) 1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 b d) (pow.f64 c -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 6) 1/3)
(pow.f64 (/.f64 (.f64 c c) (.f64 b d)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4))
(log.f64 (pow.f64 (exp.f64 b) (*.f64 (pow.f64 c -2) d)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 b d) (pow.f64 c -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 6))
(expm1.f64 (log1p.f64 (.f64 (.f64 b d) (pow.f64 c -2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 b d) (pow.f64 c -2))))
(exp.f64 (log.f64 (.f64 (.f64 b d) (pow.f64 c -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 b d) (pow.f64 c -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 a c) 2) (-.f64 (/.f64 a c) (.f64 (.f64 b d) (pow.f64 c -2)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4) (-.f64 (/.f64 a c) (.f64 (*.f64 b d) (pow.f64 c -2)))))
(.f64 (fma.f64 b (.f64 (pow.f64 c -2) d) (/.f64 a c)) 1)
(.f64 1 (fma.f64 b (.f64 (pow.f64 c -2) d) (/.f64 a c)))
(.f64 (cbrt.f64 (fma.f64 b (.f64 (pow.f64 c -2) d) (/.f64 a c))) (cbrt.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 b (.f64 (pow.f64 c -2) d) (/.f64 a c)) 2)) (cbrt.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))
(.f64 (sqrt.f64 (fma.f64 b (.f64 (pow.f64 c -2) d) (/.f64 a c))) (sqrt.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))
(.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 6)) (/.f64 1 (fma.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (-.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (/.f64 a c)) (pow.f64 (/.f64 a c) 2))))
(.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4)) (/.f64 1 (-.f64 (/.f64 a c) (.f64 (.f64 b d) (pow.f64 c -2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (-.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (/.f64 a c)) (pow.f64 (/.f64 a c) 2)) (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 6))))
(/.f64 1 (/.f64 (-.f64 (/.f64 a c) (.f64 (.f64 b d) (pow.f64 c -2))) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 6)) (fma.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (-.f64 (.f64 (*.f64 b d) (pow.f64 c -2)) (/.f64 a c)) (pow.f64 (/.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 6)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (.f64 a (.f64 b d)) (pow.f64 c 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4)) (-.f64 (/.f64 a c) (.f64 (*.f64 b d) (pow.f64 c -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 6))) (neg.f64 (fma.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (-.f64 (.f64 (*.f64 b d) (pow.f64 c -2)) (/.f64 a c)) (pow.f64 (/.f64 a c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4))) (neg.f64 (-.f64 (/.f64 a c) (.f64 (*.f64 b d) (pow.f64 c -2)))))
(/.f64 (fma.f64 (.f64 b d) c (.f64 (*.f64 c c) a)) (pow.f64 c 3))
(/.f64 (fma.f64 (.f64 b d) (/.f64 c a) (.f64 c c)) (.f64 (.f64 c c) (/.f64 c a)))
(/.f64 (fma.f64 (.f64 b d) (neg.f64 c) (.f64 (.f64 c c) (neg.f64 a))) (.f64 (*.f64 c c) (neg.f64 c)))
(/.f64 (fma.f64 a (.f64 c c) (.f64 c (*.f64 b d))) (pow.f64 c 3))
(/.f64 (fma.f64 c c (.f64 (/.f64 c a) (.f64 b d))) (.f64 (/.f64 c a) (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 a) (.f64 c c) (.f64 (neg.f64 c) (.f64 b d))) (.f64 (neg.f64 c) (*.f64 c c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 (*.f64 b d) (pow.f64 c -2)) (/.f64 a c)))
(pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 1)
(pow.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))) 3)
(pow.f64 (sqrt.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (-.f64 (.f64 (.f64 b d) (pow.f64 c -2)) (/.f64 a c)) (pow.f64 (/.f64 a c) 2)) (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 6))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 a c) (.f64 (.f64 b d) (pow.f64 c -2))) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (*.f64 b d) (pow.f64 c -2)))) (exp.f64 (/.f64 a c))))
(log.f64 (.f64 (pow.f64 (exp.f64 b) (.f64 (pow.f64 c -2) d)) (+.f64 1 (expm1.f64 (/.f64 a c)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (*.f64 b d) (pow.f64 c -2)))) (+.f64 1 (expm1.f64 (/.f64 a c)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 a c))) (pow.f64 (exp.f64 b) (.f64 (pow.f64 c -2) d))))
(log.f64 (.f64 (exp.f64 (/.f64 a c)) (+.f64 1 (expm1.f64 (.f64 (*.f64 b d) (pow.f64 c -2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 a c))) (+.f64 1 (expm1.f64 (.f64 (*.f64 b d) (pow.f64 c -2))))))
(cbrt.f64 (pow.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))
(log1p.f64 (expm1.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))
(exp.f64 (log.f64 (fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))))
(exp.f64 (.f64 (log.f64 (fma.f64 b (.f64 (pow.f64 c -2) d) (/.f64 a c))) 1))
(fma.f64 b (*.f64 (pow.f64 c -2) d) (/.f64 a c))
(fma.f64 (*.f64 b (pow.f64 c -2)) d (/.f64 a c))
(fma.f64 d (*.f64 b (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (.f64 (.f64 b d) (pow.f64 c -2)) 1 (/.f64 a c))
(fma.f64 a (/.f64 1 c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 a c) 1 (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 1 (.f64 (.f64 b d) (pow.f64 c -2)) (/.f64 a c))
(fma.f64 1 (/.f64 a c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 1 c)) (.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (.f64 (cbrt.f64 (.f64 b (pow.f64 c -2))) d) (/.f64 a c))
(fma.f64 (cbrt.f64 (/.f64 a c)) (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (.f64 b (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 (.f64 b d) (pow.f64 c -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4)) (cbrt.f64 (.f64 (*.f64 b d) (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1 c)) (.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (sqrt.f64 b) c) (*.f64 (/.f64 (sqrt.f64 b) c) d) (/.f64 a c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (.f64 b (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 a c))
(fma.f64 (neg.f64 a) (/.f64 1 (neg.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 1 c) a (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 c) -2) (/.f64 a (cbrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 a c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 c -1/2) (/.f64 a (sqrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b 1) (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 (cbrt.f64 c) c)) (/.f64 d (pow.f64 (cbrt.f64 c) 2)) (/.f64 a c))
(fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 b) c) (cbrt.f64 d)) 2) (cbrt.f64 d) (/.f64 a c))
(fma.f64 (.f64 (.f64 b (pow.f64 c -2)) (sqrt.f64 d)) (sqrt.f64 d) (/.f64 a c))
(fma.f64 (.f64 d (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4))) (cbrt.f64 (.f64 b (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (*.f64 d (/.f64 (sqrt.f64 b) c)) (/.f64 (sqrt.f64 b) c) (/.f64 a c))

Outputs
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
(/.f64 (/.f64 b c) c)
(*.f64 b (pow.f64 c -2))
(/.f64 b (pow.f64 c 2))
(/.f64 b (*.f64 c c))
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(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 1 (.f64 (.f64 b d) (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 1 (/.f64 a c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 1 c)) (.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (.f64 (cbrt.f64 (.f64 b (pow.f64 c -2))) d) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (.f64 d (cbrt.f64 (.f64 b (pow.f64 c -2)))) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (*.f64 d (cbrt.f64 (/.f64 (/.f64 b c) c))) (/.f64 a c))
(fma.f64 (cbrt.f64 (/.f64 a c)) (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (.f64 b (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 (.f64 b d) (pow.f64 c -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 c -2) (.f64 b d))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 b (/.f64 d (.f64 c c)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 (/.f64 b c) (/.f64 d c))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4)) (cbrt.f64 (.f64 (*.f64 b d) (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 c -2) (.f64 b d))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 b (/.f64 d (.f64 c c)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (cbrt.f64 (.f64 (/.f64 b c) (/.f64 d c))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) 4)) (/.f64 a c))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1 c)) (.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 (sqrt.f64 b) c) (*.f64 (/.f64 (sqrt.f64 b) c) d) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (.f64 b (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 a c))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2) (/.f64 a c))
(+.f64 (/.f64 a c) (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2))
(fma.f64 (neg.f64 a) (/.f64 1 (neg.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (neg.f64 a) (/.f64 1 (neg.f64 c)) (.f64 (pow.f64 c -2) (.f64 b d)))
(fma.f64 (neg.f64 a) (/.f64 -1 c) (.f64 b (/.f64 d (.f64 c c))))
(-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 a (/.f64 -1 c)))
(fma.f64 (/.f64 1 c) a (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) c) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 c) -2) (/.f64 a (cbrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 c) -2) (/.f64 a (cbrt.f64 c)) (.f64 (pow.f64 c -2) (.f64 b d)))
(fma.f64 (pow.f64 (cbrt.f64 c) -2) (/.f64 a (cbrt.f64 c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (pow.f64 (cbrt.f64 c) -2) (/.f64 a (cbrt.f64 c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 a c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 a c)) (.f64 (pow.f64 c -2) (.f64 b d)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 a c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)) (.f64 (pow.f64 c -2) (.f64 b d)))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (pow.f64 c -1/2) (/.f64 a (sqrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 c -1/2) (/.f64 a (sqrt.f64 c)) (.f64 (pow.f64 c -2) (.f64 b d)))
(fma.f64 (pow.f64 c -1/2) (/.f64 a (sqrt.f64 c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (pow.f64 c -1/2) (/.f64 a (sqrt.f64 c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)) (.f64 (.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)) (.f64 (pow.f64 c -2) (.f64 b d)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (/.f64 b 1) (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 (cbrt.f64 c) c)) (/.f64 d (pow.f64 (cbrt.f64 c) 2)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 b) c) (cbrt.f64 d)) 2) (cbrt.f64 d) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (.f64 (.f64 b (pow.f64 c -2)) (sqrt.f64 d)) (sqrt.f64 d) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))
(fma.f64 (.f64 d (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4))) (cbrt.f64 (.f64 b (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (.f64 d (cbrt.f64 (.f64 b (pow.f64 c -2)))) (/.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 b) c) 4)) (*.f64 d (cbrt.f64 (/.f64 (/.f64 b c) c))) (/.f64 a c))
(fma.f64 (*.f64 d (/.f64 (sqrt.f64 b) c)) (/.f64 (sqrt.f64 b) c) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (*.f64 d (pow.f64 c -2)) (/.f64 a c))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.3b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
0.0ms	b	@	0	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
0.0ms	d	@	0	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
0.0ms	b	@	-inf	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
0.0ms	d	@	inf	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
521×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
259×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	196	13
2	2837	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 d (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4)) (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (*.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 d b)) (*.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (neg.f64 b)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 b (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (*.f64 d b) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (*.f64 d b)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d b) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 d b) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 1))))))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

830×	`times-frac_binary64`
722×	`associate-/l*_binary64`
656×	`associate-r_binary64`
375×	`associate-/r*_binary64`
336×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1792
1	496	1723
2	1548	1660

Stop Event

1×	node limit

Counts

87 → 94

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 0 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (.f64 b (pow.f64 (hypot.f64 d c) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (.f64 b (pow.f64 (hypot.f64 d c) -2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (.f64 b (pow.f64 (hypot.f64 d c) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (.f64 b (pow.f64 (hypot.f64 d c) -2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2))))) 1)
(*.f64 d (/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) b)))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(.f64 (.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)
(.f64 1 (.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))
(.f64 (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 d b)) (hypot.f64 d c)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 d b)) (hypot.f64 d c)) 4)) (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (.f64 (cbrt.f64 (.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (hypot.f64 d c)) (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)))
(.f64 (sqrt.f64 (.f64 d b)) (.f64 (sqrt.f64 (.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d (neg.f64 b)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
(.f64 (pow.f64 (hypot.f64 d c) -2) (.f64 d b))
(*.f64 (/.f64 d 1) (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 b 1) (/.f64 d (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(*.f64 (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(*.f64 (/.f64 b (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
(.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (.f64 d b) (hypot.f64 d c)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (*.f64 d b)) (hypot.f64 d c)))
(.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (.f64 c c)))
(pow.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) 1) -1)
(neg.f64 (/.f64 (*.f64 d b) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4))
(log.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)))
(expm1.f64 (log1p.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(log1p.f64 (expm1.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(exp.f64 (log.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 1))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d c) (/.f64 b c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))
(-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b))
(.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)))
(+.f64 (.f64 (/.f64 d c) (/.f64 b c)) (-.f64 (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (/.f64 (pow.f64 c 8) b)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))))
(+.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (*.f64 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) b)))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)))
(-.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
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(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(/.f64 (/.f64 (*.f64 d b) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(*.f64 (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(/.f64 (/.f64 (*.f64 d b) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(/.f64 (/.f64 (*.f64 d b) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(.f64 (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))))
(.f64 (cbrt.f64 (.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (cbrt.f64 (.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(/.f64 (/.f64 (*.f64 d b) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 b (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (.f64 d b) (hypot.f64 d c)))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (*.f64 d b)) (hypot.f64 d c)))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))))
(.f64 (.f64 (/.f64 d (+.f64 (pow.f64 c 6) (pow.f64 d 6))) b) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 d c) 2))))
(.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (.f64 c c)))
(.f64 (/.f64 d (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) b)) (-.f64 (.f64 d d) (*.f64 c c)))
(.f64 (.f64 (/.f64 d (-.f64 (pow.f64 d 4) (pow.f64 c 4))) b) (-.f64 (.f64 d d) (.f64 c c)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 d d) (.f64 c c)) d) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) b)
(pow.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4) 1/2)
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6))
(pow.f64 (cbrt.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))) 3)
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) 1) -1)
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(neg.f64 (/.f64 (*.f64 d b) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(log.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2))))))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)))
(expm1.f64 (log1p.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(log1p.f64 (expm1.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(exp.f64 (log.f64 (.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))
(exp.f64 (.f64 (log.f64 (.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 1))
(.f64 d (.f64 b (pow.f64 (hypot.f64 d c) -2)))
(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
(.f64 (.f64 d b) (pow.f64 (hypot.f64 d c) -2))

eval133.0ms (1.1%)

Compiler: Compiled 11646 to 3898 computations (66.5% saved)

prune179.0ms (1.5%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	693	8	701
Fresh	5	10	15
Picked	0	1	1
Done	0	6	6
Total	698	25	723

Error

0.1b

Counts

723 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.4b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
	53.3b	(/.f64 (.f64 d b) (.f64 c c))
	50.5b	(/.f64 (.f64 c a) (.f64 d d))
✓	51.3b	(/.f64 c (/.f64 d (/.f64 a d)))
✓	38.0b	(/.f64 b d)
	50.4b	(/.f64 a (/.f64 (*.f64 d d) c))
✓	38.2b	(/.f64 a c)
	38.2b	(/.f64 1 (/.f64 d b))
	33.1b	(-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 a (/.f64 -1 c)))
✓	31.7b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	31.8b	(+.f64 (/.f64 b d) (/.f64 1 (/.f64 d (*.f64 c (/.f64 a d)))))
	33.4b	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
	33.1b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
	34.9b	(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
✓	36.7b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
	53.8b	(.f64 (/.f64 d (.f64 c c)) b)
	52.0b	(*.f64 (/.f64 d c) (/.f64 b c))
	50.0b	(*.f64 (/.f64 c d) (/.f64 a d))
	34.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	44.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
	46.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
	44.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	49.6b	(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
✓	38.0b	(*.f64 (/.f64 1 d) b)
	51.3b	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 321 to 207 computations (35.5% saved)

regimes571.0ms (4.9%)

Counts

49 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(+.f64 (/.f64 b d) (/.f64 1 (/.f64 d (*.f64 c (/.f64 a d)))))
(-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 a (/.f64 -1 c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(*.f64 (pow.f64 c -1) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 c a) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d)))
(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a))) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(/.f64 (fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))

Outputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))

Calls

5 calls:

156.0ms	d
142.0ms	c
126.0ms	b
109.0ms	a
25.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
15.6b	4	`a`
15.7b	5	`b`
7.5b	5	`c`
8.3b	5	`d`
8.7b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 569 to 187 computations (67.1% saved)

bsearch61.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	5.17645677119156e+102	3.137816126269285e+106
16.0ms	2.5575733537944655e-191	8.60605134799528e-190
17.0ms	-6.647790042105397e-86	-2.38888544104701e-89
12.0ms	-1.5225051585890644e+171	-1.7605789238581533e+170

Results

52.0ms	464×	body	256	valid
3.0ms	24×	body	256	infinite

Compiler

Compiled 1117 to 673 computations (39.7% saved)

regimes1.2s (10.2%)

Counts

45 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(+.f64 (/.f64 b d) (/.f64 1 (/.f64 d (*.f64 c (/.f64 a d)))))
(-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 a (/.f64 -1 c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(*.f64 (pow.f64 c -1) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 c a) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d)))
(fma.f64 (pow.f64 (/.f64 d (/.f64 c d)) -1) a (/.f64 b d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a))) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))

Outputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

5 calls:

326.0ms	b
299.0ms	a
282.0ms	d
170.0ms	c
74.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
19.5b	9	`a`
19.5b	9	`b`
9.3b	5	`c`
12.7b	4	`d`
13.7b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 502 to 167 computations (66.7% saved)

bsearch86.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	6447372.673013235	867112923.9925522
18.0ms	-6.647790042105397e-86	-2.38888544104701e-89
21.0ms	-0.15653684558346112	-5.276205279561711e-19
24.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

75.0ms	560×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 1248 to 783 computations (37.3% saved)

regimes632.0ms (5.5%)

Counts

38 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(+.f64 (/.f64 b d) (/.f64 1 (/.f64 d (*.f64 c (/.f64 a d)))))
(-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 a (/.f64 -1 c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(*.f64 (pow.f64 c -1) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

5 calls:

228.0ms	b
193.0ms	a
96.0ms	c
86.0ms	d
20.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.7b	7	`a`
19.5b	9	`b`
9.6b	5	`c`
12.7b	4	`d`
17.9b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 379 to 127 computations (66.5% saved)

bsearch74.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	6447372.673013235	867112923.9925522
17.0ms	-6.647790042105397e-86	-2.38888544104701e-89
21.0ms	-0.15653684558346112	-5.276205279561711e-19
20.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

65.0ms	560×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 1218 to 753 computations (38.2% saved)

regimes618.0ms (5.3%)

Counts

31 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(+.f64 (/.f64 b d) (/.f64 1 (/.f64 d (*.f64 c (/.f64 a d)))))
(-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 a (/.f64 -1 c)))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

4 calls:

227.0ms	a
209.0ms	b
111.0ms	d
64.0ms	c

Results

Error	Segments	Branch
20.6b	9	`a`
21.4b	10	`b`
10.1b	5	`c`
13.0b	5	`d`

Compiler

Compiled 295 to 96 computations (67.5% saved)

bsearch82.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
30.0ms	6447372.673013235	867112923.9925522
17.0ms	-6.647790042105397e-86	-2.38888544104701e-89
15.0ms	-3.713663995171587e-38	-6.2013052058760764e-40
20.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

59.0ms	512×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 1050 to 657 computations (37.4% saved)

regimes600.0ms (5.2%)

Counts

24 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

4 calls:

202.0ms	b
152.0ms	a
127.0ms	c
114.0ms	d

Results

Error	Segments	Branch
24.0b	8	`a`
21.6b	10	`b`
10.1b	5	`c`
13.5b	5	`d`

Compiler

Compiled 214 to 77 computations (64% saved)

bsearch82.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	6447372.673013235	867112923.9925522
22.0ms	-6.647790042105397e-86	-2.38888544104701e-89
17.0ms	-3.713663995171587e-38	-6.2013052058760764e-40
23.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

71.0ms	512×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 1050 to 657 computations (37.4% saved)

regimes384.0ms (3.3%)

Counts

23 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

4 calls:

148.0ms	a
120.0ms	b
57.0ms	c
54.0ms	d

Results

Error	Segments	Branch
24.2b	8	`a`
21.6b	10	`b`
11.1b	5	`c`
13.7b	5	`d`

Compiler

Compiled 203 to 74 computations (63.5% saved)

bsearch82.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	6447372.673013235	867112923.9925522
30.0ms	-6.647790042105397e-86	-2.38888544104701e-89
15.0ms	-3.713663995171587e-38	-6.2013052058760764e-40
23.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

60.0ms	512×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 1050 to 657 computations (37.4% saved)

regimes278.0ms (2.4%)

Counts

22 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

4 calls:

108.0ms	b
65.0ms	a
50.0ms	c
49.0ms	d

Results

Error	Segments	Branch
26.0b	6	`a`
22.4b	10	`b`
11.5b	5	`c`
14.9b	5	`d`

Compiler

Compiled 192 to 73 computations (62% saved)

bsearch65.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	6447372.673013235	867112923.9925522
17.0ms	-6.647790042105397e-86	-2.38888544104701e-89
14.0ms	-3.713663995171587e-38	-6.2013052058760764e-40
20.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

58.0ms	512×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 1050 to 657 computations (37.4% saved)

regimes327.0ms (2.8%)

Counts

21 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))

Calls

4 calls:

142.0ms	a
106.0ms	b
45.0ms	c
29.0ms	d

Results

Error	Segments	Branch
25.0b	9	`a`
23.1b	12	`b`
16.1b	5	`c`
18.5b	3	`d`

Compiler

Compiled 181 to 70 computations (61.3% saved)

bsearch84.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
34.0ms	6447372.673013235	867112923.9925522
16.0ms	-6.647790042105397e-86	-2.38888544104701e-89
14.0ms	-3.713663995171587e-38	-6.2013052058760764e-40
20.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

77.0ms	512×	body	256	valid
2.0ms	18×	body	256	infinite

Compiler

Compiled 794 to 529 computations (33.4% saved)

regimes366.0ms (3.2%)

Counts

20 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))

Calls

4 calls:

139.0ms	b
105.0ms	a
92.0ms	c
26.0ms	d

Results

Error	Segments	Branch
25.0b	9	`a`
23.1b	12	`b`
16.1b	5	`c`
18.6b	3	`d`

Compiler

Compiled 170 to 67 computations (60.6% saved)

bsearch107.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
38.0ms	6447372.673013235	867112923.9925522
16.0ms	-6.647790042105397e-86	-2.38888544104701e-89
14.0ms	-3.713663995171587e-38	-6.2013052058760764e-40
38.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

75.0ms	512×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 794 to 529 computations (33.4% saved)

regimes242.0ms (2.1%)

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 b c) c) d))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))

Calls

4 calls:

101.0ms	b
79.0ms	a
29.0ms	c
28.0ms	d

Results

Error	Segments	Branch
25.0b	9	`a`
23.2b	12	`b`
17.1b	3	`c`
18.6b	3	`d`

Compiler

Compiled 159 to 66 computations (58.5% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	6447372.673013235	867112923.9925522
20.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 434 to 289 computations (33.4% saved)

regimes220.0ms (1.9%)

Counts

17 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))

Outputs
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(/.f64 b d)
(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))

Calls

4 calls:

103.0ms	b
67.0ms	a
25.0ms	d
23.0ms	c

Results

Error	Segments	Branch
26.2b	9	`a`
24.4b	13	`b`
18.4b	3	`c`
21.7b	3	`d`

Compiler

Compiled 137 to 62 computations (54.7% saved)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	6447372.673013235	867112923.9925522
19.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 434 to 289 computations (33.4% saved)

regimes264.0ms (2.3%)

Accuracy

Total -42.8b remaining (-209.5%)

Threshold costs -42.8b (-209.5%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 1 d) b)
(/.f64 1 (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 1 d) (/.f64 c (/.f64 d a)))

Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)

Calls

4 calls:

108.0ms	b
98.0ms	a
33.0ms	c
22.0ms	d

Results

Error	Segments	Branch
26.6b	9	`a`
25.6b	12	`b`
20.4b	3	`c`
23.4b	3	`d`

Compiler

Compiled 126 to 59 computations (53.2% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	6447372.673013235	867112923.9925522
19.0ms	-1.7966957575455758e+58	-8.81361510369784e+41

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 298 to 221 computations (25.8% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
17×	`*-commutative_binary64`
7×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	164	1048
1	191	1048
2	200	1048
3	214	1048
4	226	1044
5	234	1044
6	237	1044
7	238	1044

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -299999999999999996917908362851138743179116312686407114932715122432801916164332898939912767370687505153617239088538841055201636977141007405176191066554331018290376757739520) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))) (if (<=.f64 c -4013622577982625/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 5618431291326693/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -1100000000000000064848534436950761900343296) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))) (if (<=.f64 c -5404319552844595/36028797018963968) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -3695578824593377/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7200000) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -1199999999999999930068851285153072652746752) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5404319552844595/36028797018963968) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 6800000) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -139999999999999993968972264119665375280415899648) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5363734393030611/3064991081731777716716694054300618367237478244367204352) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -4549481507548665/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c))) (if (<=.f64 c 7000000) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -10199999999999999869812750655818720635518976) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5639583590386471/6129982163463555433433388108601236734474956488734408704) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c -8259058736780653/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c))) (if (<=.f64 c 12000000) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -330000000000000004409053041463916596751399087243264) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -4290987514424489/6129982163463555433433388108601236734474956488734408704) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c -4549481507548665/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c))) (if (<=.f64 c 20500000) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -95000000000000004418885209327884628989575168) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -1915619426082361/383123885216472214589586756787577295904684780545900544) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (if (<=.f64 c -4549481507548665/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c))) (if (<=.f64 c 105000000) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -109999999999999996710078893497713539430844727296) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -7355978596156267/6129982163463555433433388108601236734474956488734408704) (/.f64 b d) (if (<=.f64 c -4549481507548665/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c))) (if (<=.f64 c 9500000) (/.f64 b d) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -2899999999999999805209306454007836517072896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -1225996432692711/766247770432944429179173513575154591809369561091801088) (/.f64 b d) (if (<=.f64 c -4549481507548665/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c))) (if (<=.f64 c 6500000) (/.f64 b d) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -1199999999999999930068851285153072652746752) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 120000000) (/.f64 b d) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))
(if (<=.f64 c -900000000000000024922890919201071670755328) (+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d)) (if (<=.f64 c 95000000) (/.f64 b d) (+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))))
(if (<=.f64 c -100000000000000008821361405306422640701865984) (/.f64 a c) (if (<=.f64 c 60000000) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 c -299999999999999996917908362851138743179116312686407114932715122432801916164332898939912767370687505153617239088538841055201636977141007405176191066554331018290376757739520) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))) (if (<=.f64 c -4013622577982625/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 5618431291326693/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -299999999999999996917908362851138743179116312686407114932715122432801916164332898939912767370687505153617239088538841055201636977141007405176191066554331018290376757739520) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))) (if (<=.f64 c -4013622577982625/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 c 5618431291326693/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -299999999999999996917908362851138743179116312686407114932715122432801916164332898939912767370687505153617239088538841055201636977141007405176191066554331018290376757739520) (.f64 (+.f64 a (/.f64 b (/.f64 c d))) (/.f64 -1 (hypot.f64 c d))) (if (<=.f64 c -4013622577982625/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 c 5618431291326693/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -1100000000000000064848534436950761900343296) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))) (if (<=.f64 c -5404319552844595/36028797018963968) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -3695578824593377/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7200000) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))))
(if (<=.f64 c -1100000000000000064848534436950761900343296) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))) (if (<=.f64 c -5404319552844595/36028797018963968) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -3695578824593377/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7200000) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))))))
(if (<=.f64 c -1100000000000000064848534436950761900343296) (.f64 (+.f64 a (/.f64 b (/.f64 c d))) (/.f64 -1 (hypot.f64 c d))) (if (<=.f64 c -5404319552844595/36028797018963968) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -3695578824593377/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7200000) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))))))
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(if (<=.f64 c -900000000000000024922890919201071670755328) (+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c)))) (if (<=.f64 c 95000000) (/.f64 b d) (+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c))))))
(if (<=.f64 c -100000000000000008821361405306422640701865984) (/.f64 a c) (if (<=.f64 c 60000000) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Compiler

Compiled 767 to 363 computations (52.7% saved)

soundness251.0ms (2.2%)

Algorithm

3×	egg-herbie

Rules

777×	`fma-def_binary64`
615×	`unswap-sqr_binary64`
532×	`distribute-rgt-in_binary64`
478×	`log-prod_binary64`
478×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	5913
1	1361	5558
2	6514	5558
0	311	3526
1	790	3357
2	2802	3276
0	517	5913
1	1361	5558
2	6514	5558

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 185 to 123 computations (33.5% saved)

end155.0ms (1.3%)

Compiler: Compiled 719 to 180 computations (75% saved)