Details

analyze366.0ms (3%)

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)

sample1.1s (9.5%)

Results

1.1s	8256×	body	256	valid
61.0ms	512×	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

26.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 (.f64 a c) (.f64 b d))
✓	26.0b	(/.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	c	@	0	(/.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)))

rewrite59.0ms (0.5%)

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))))))

simplify67.0ms (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))))))
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(/.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))

eval39.0ms (0.3%)

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

prune39.0ms (0.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	169	14	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	14	184

Error

0.3b

Counts

184 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	46.0b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 2) (+.f64 (.f64 c c) (*.f64 d d)))
	21.4b	(/.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))
	46.0b	(/.f64 (/.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 c c) (.f64 d d)))
▶	38.2b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	38.3b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	39.6b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	35.3b	(/.f64 b d)
▶	39.8b	(/.f64 a c)
▶	32.5b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	30.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	26.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	36.1b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
▶	18.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 480 to 282 computations (41.3% saved)

localize13.0ms (0.1%)

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))
✓	17.0b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series23.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

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

rewrite66.0ms (0.5%)

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

simplify105.0ms (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)))
(+.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 (*.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))))
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(/.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)))
(+.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)))
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))))
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(/.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))

localize5.0ms (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
✓	1.4b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
✓	12.0b	(/.f64 (.f64 c a) (.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`log-prod_binary64`
469×	`fma-def_binary64`
330×	`pow2_binary64`
286×	`log-div_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	231	24
2	3919	24

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`unswap-sqr_binary64`
386×	`cancel-sign-sub-inv_binary64`
276×	`distribute-rgt-neg-in_binary64`
258×	`associate-/r*_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	4357
1	1067	4237
2	3749	4215

Stop Event

1×	node limit

Counts

247 → 257

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	19.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
521×	`log-prod_binary64`
369×	`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	2838	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-neg_binary64`
832×	`times-frac_binary64`
723×	`associate-/l*_binary64`
376×	`associate-/r*_binary64`
341×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1792
1	493	1723
2	1560	1660
3	7604	1660

Stop Event

1×	node limit

Counts

87 → 96

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 c d) 2)
	0.5b	(fma.f64 a c (*.f64 b d))
✓	0.6b	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
✓	26.0b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	d	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	d	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	0	(pow.f64 (hypot.f64 c d) 2)

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
374×	`pow-prod-down_binary64`
313×	`pow2_binary64`
242×	`prod-diff_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	267	31
2	3075	31

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (hypot.f64 c d) 2)

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 c d) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 4) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) 3/2) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 5) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 c d) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 c d) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 4) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (*.f64 c c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 c d) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 d d)) (exp.f64 (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 c c)) (exp.f64 (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 c d) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 c d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c c (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d d (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (pow.f64 d 3/2) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (pow.f64 c 3/2) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 c) c) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 d) d) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 c 3/2) (sqrt.f64 c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 d 3/2) (sqrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 5) (cbrt.f64 c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 5) (cbrt.f64 d) (*.f64 c c))))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-*l/_binary64`
347×	`distribute-rgt-in_binary64`
327×	`distribute-lft-in_binary64`
253×	`fma-def_binary64`
244×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	4294971185
1	1192	3637
2	3907	3550

Stop Event

1×	node limit

Counts

218 → 230

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

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

eval263.0ms (2.2%)

Compiler: Compiled 20163 to 8149 computations (59.6% saved)

prune702.0ms (5.8%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	942	20	962
Fresh	7	2	9
Picked	1	0	1
Done	1	3	4
Total	951	25	976

Error

0.2b

Counts

976 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.1b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
✓	38.2b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	54.0b	(/.f64 (.f64 d b) (.f64 c c))
▶	35.3b	(/.f64 b d)
✓	39.8b	(/.f64 a c)
	18.4b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
✓	32.5b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	30.2b	(+.f64 (/.f64 b d) (/.f64 (*.f64 a (neg.f64 (/.f64 c d))) (neg.f64 d)))
	30.7b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 d a)) (/.f64 1 d)))
	30.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	33.6b	(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
	34.2b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	18.3b	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	24.0b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	50.7b	(*.f64 (/.f64 d c) (/.f64 b c))
	46.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)))
▶	43.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
	46.5b	(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
	44.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
▶	46.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
	43.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	46.7b	(.f64 (/.f64 -1 d) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	53.5b	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 717 to 449 computations (37.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	0.5b	(fma.f64 a c (*.f64 b d))
	17.0b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
284×	`pow2_binary64`
263×	`prod-diff_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	209	17
2	2798	17

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

557×	`times-frac_binary64`
521×	`associate-/l*_binary64`
376×	`log-prod_binary64`
327×	`associate-l_binary64`
315×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	2352
1	476	2219
2	1378	2138
3	6840	2133

Stop Event

1×	node limit

Counts

98 → 113

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

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.4b	(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
✓	6.6b	(.f64 c (/.f64 a (.f64 d d)))
✓	9.2b	(/.f64 a (*.f64 d d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
440×	`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	3375	31

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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(*.f64 (/.f64 (sqrt.f64 a) d) c) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 a (pow.f64 d -2))) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 d) b (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) d) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) d) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) -2) (/.f64 b (cbrt.f64 d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 b d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 d -1/2) (/.f64 b (sqrt.f64 d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)) (*.f64 (*.f64 a c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c 1) (*.f64 a (pow.f64 d -2)) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c (*.f64 (cbrt.f64 d) d)) (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 a) d) (cbrt.f64 c)) 2) (cbrt.f64 c) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (pow.f64 d -2)) (sqrt.f64 c)) (sqrt.f64 c) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 a) d) 4))) (cbrt.f64 (*.f64 a (pow.f64 d -2))) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (/.f64 (sqrt.f64 a) d)) (/.f64 (sqrt.f64 a) d) (/.f64 b d))))))

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

340×	`associate-/l/_binary64`
339×	`distribute-rgt-in_binary64`
320×	`distribute-lft-in_binary64`
314×	`unswap-sqr_binary64`
209×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	3829
1	891	3601
2	2815	3595

Stop Event

1×	node limit

Counts

258 → 212

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	181	7
2	2238	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

789×	`times-frac_binary64`
737×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
400×	`associate-+l+_binary64`
372×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1485
1	595	1367
2	2315	1238

Stop Event

1×	node limit

Counts

62 → 98

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 b) (*.f64 (/.f64 c d) a))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
✓	7.5b	(*.f64 (/.f64 c d) a)

Compiler

Compiled 49 to 15 computations (69.4% saved)

series20.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
1.0ms	b	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
1.0ms	a	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
1.0ms	b	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
1.0ms	a	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`log-prod_binary64`
346×	`pow2_binary64`
262×	`fma-def_binary64`
242×	`pow1/3_binary64`
237×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	281	33
2	3979	33

Stop Event

1×	node limit

Counts

3 → 197

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

412×	`div-sub_binary64`
287×	`log-prod_binary64`
219×	`associate-/l*_binary64`
216×	`times-frac_binary64`
212×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	6159
1	1141	5407
2	4342	5353

Stop Event

1×	node limit

Counts

329 → 323

Calls

Call 1

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

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

eval307.0ms (2.6%)

Compiler: Compiled 23416 to 9447 computations (59.7% saved)

prune303.0ms (2.5%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1065	15	1080
Fresh	8	9	17
Picked	1	0	1
Done	3	4	7
Total	1077	28	1105

Error

0.2b

Counts

1105 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(/.f64 (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)) (hypot.f64 c d))
	46.5b	(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
	42.7b	(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
	44.5b	(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
✓	38.2b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	54.0b	(/.f64 (.f64 d b) (.f64 c c))
	56.0b	(/.f64 (neg.f64 b) d)
	59.6b	(/.f64 (neg.f64 a) d)
	56.9b	(/.f64 (neg.f64 a) c)
	43.4b	(/.f64 b (hypot.f64 c d))
✓	35.3b	(/.f64 b d)
▶	59.7b	(/.f64 a d)
✓	39.8b	(/.f64 a c)
	18.4b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
	31.1b	(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d))
	30.2b	(+.f64 (/.f64 b d) (/.f64 (*.f64 a (neg.f64 (/.f64 c d))) (neg.f64 d)))
	30.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	33.6b	(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
	36.9b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d b) c) c))
▶	18.3b	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	24.0b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	50.7b	(*.f64 (/.f64 d c) (/.f64 b c))
	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (/.f64 a (/.f64 d c))))
▶	44.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	59.6b	(*.f64 (/.f64 1 d) (neg.f64 a))
▶	30.3b	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
	59.7b	(*.f64 (/.f64 -1 d) (neg.f64 a))
▶	53.5b	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 694 to 444 computations (36% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	0.5b	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
	0.5b	(fma.f64 a c (*.f64 b d))
	17.0b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series14.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
3.0ms	c	@	0	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
2.0ms	d	@	0	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
1.0ms	d	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
1.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
344×	`pow2_binary64`
254×	`prod-diff_binary64`
252×	`pow-unpow_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	274	24
2	3409	24

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Outputs

((#(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 (/.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 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1) (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)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 c d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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) (cbrt.f64 (hypot.f64 c d)))))) (#(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))))))

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

991×	`fma-def_binary64`
715×	`times-frac_binary64`
619×	`distribute-rgt-in_binary64`
609×	`distribute-lft-in_binary64`
211×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3037
1	755	2893
2	2800	2716

Stop Event

1×	node limit

Counts

111 → 122

Calls

Call 1

Inputs
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (.f64 (pow.f64 c 4) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))) (.f64 1/16 (/.f64 1 (pow.f64 d 5)))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (+.f64 (.f64 (pow.f64 c 6) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 5))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2)) (pow.f64 d 2)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))) (pow.f64 d 2))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 7))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 5))) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))))) (.f64 (pow.f64 c 4) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))) (.f64 1/16 (/.f64 1 (pow.f64 d 5))))))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 c 3))))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))))))) (.f64 1/16 (/.f64 1 (pow.f64 c 5)))) (pow.f64 d 4)) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 c 3))))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))))))) (.f64 1/16 (/.f64 1 (pow.f64 c 5)))) (pow.f64 d 4)) (+.f64 (.f64 (pow.f64 d 6) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 c 5))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (pow.f64 c 2)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 c 3))))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))))) (pow.f64 c 2))) (.f64 1/8 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 c 7))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 5))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 c 3))))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))))))))) (/.f64 1 c))))
(/.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)))
(+.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 (*.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 (*.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 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 (/.f64 1 (hypot.f64 c d)) 1)
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(/.f64 1 (hypot.f64 c d))
(/.f64 1 (/.f64 (hypot.f64 c d) 1))
(/.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (hypot.f64 c d)))
(/.f64 -1 (neg.f64 (hypot.f64 c d)))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (cbrt.f64 (hypot.f64 c d)))
(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))
(+.f64 0 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))) 1)
(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 c a (*.f64 d b))))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(/.f64 (neg.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) 1) (hypot.f64 c d))
(/.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (neg.f64 (fma.f64 c a (.f64 d b))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 c a (.f64 d b)))) (neg.f64 (hypot.f64 c d)))
(pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))) 2)
(pow.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) -3)) 1/3)
(pow.f64 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) -1)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) -3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 c a (*.f64 d b)) (pow.f64 (hypot.f64 c d) -2))) 1))

Outputs
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (.f64 (pow.f64 c 4) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))) (.f64 1/16 (/.f64 1 (pow.f64 d 5)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (.f64 (pow.f64 c 4) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) 1/4) 2)))))) (/.f64 1/16 (pow.f64 d 5)))))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 (pow.f64 c 4) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) 1/4) 2))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9)))))) (/.f64 1/16 (pow.f64 d 5))) (/.f64 1 d)))
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(/.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)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(*.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 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(/.f64 1 (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(/.f64 1 (hypot.f64 c d))
(/.f64 1 (hypot.f64 c d))
(/.f64 1 (/.f64 (hypot.f64 c d) 1))
(/.f64 1 (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (hypot.f64 c d)))
(/.f64 -1 (neg.f64 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (cbrt.f64 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(/.f64 1 (hypot.f64 c d))
(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))
(+.f64 0 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 c a (.f64 d b))) (pow.f64 (hypot.f64 c d) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 c a (.f64 d b))) (pow.f64 (hypot.f64 c d) -2)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 c a (.f64 d b))) (pow.f64 (hypot.f64 c d) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 c a (.f64 d b))) (pow.f64 (hypot.f64 c d) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))) 1)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 c a (*.f64 d b))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (neg.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) 1) (hypot.f64 c d))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (.f64 (neg.f64 (fma.f64 c a (.f64 d b))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 c a (.f64 d b)))) (neg.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 1)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(pow.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 2) 1/2)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(pow.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))) 3)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))) 2)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(pow.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)))
(pow.f64 (.f64 (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) -3)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)))
(pow.f64 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) -1)
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 2))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(log.f64 (exp.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 3))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) -3)))
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) -3) (pow.f64 (/.f64 (fma.f64 c a (.f64 d b)) (hypot.f64 c d)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(exp.f64 (log.f64 (.f64 (fma.f64 c a (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 c a (*.f64 d b)) (pow.f64 (hypot.f64 c d) -2))) 1))
(.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 c a (.f64 d b)))

localize4.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 b (/.f64 d (.f64 c c)))
✓	8.6b	(/.f64 d (*.f64 c c))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`pow1_binary64`
733×	`add-log-exp_binary64`
733×	`log1p-expm1-u_binary64`
733×	`expm1-log1p-u_binary64`
714×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	147	17
2	1998	17

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

811×	`times-frac_binary64`
566×	`associate-/l*_binary64`
523×	`unswap-sqr_binary64`
498×	`fma-neg_binary64`
408×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1085
1	365	1079
2	1353	1074
3	7804	1074

Stop Event

1×	node limit

Counts

116 → 73

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 b) (*.f64 (/.f64 c d) a))
✓	1.1b	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
	7.5b	(*.f64 (/.f64 c d) a)

Compiler

Compiled 42 to 14 computations (66.7% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
1.0ms	d	@	-inf	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
0.0ms	d	@	0	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
0.0ms	d	@	inf	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
0.0ms	b	@	inf	(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
328×	`pow2_binary64`
277×	`fma-def_binary64`
236×	`pow-unpow_binary64`
229×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	262	15
2	3752	15

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-l_binary64`
507×	`associate-/l*_binary64`
409×	`associate-/r*_binary64`
271×	`associate-*l/_binary64`
238×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1661
1	357	1638
2	1348	1474
3	7867	1474

Stop Event

1×	node limit

Counts

94 → 70

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (/.f64 d (/.f64 c b)))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.2b	(/.f64 d (/.f64 c b))
✓	5.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series19.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	c	@	-inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
1.0ms	a	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
1.0ms	b	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
1.0ms	b	@	-inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
1.0ms	b	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`log-prod_binary64`
357×	`pow2_binary64`
316×	`fma-def_binary64`
251×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	268	29
2	4091	29

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

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(2) ((x fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (/.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 c) b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b c) d a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 d c) b a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (/.f64 c b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (/.f64 c b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 d) c) (/.f64 (sqrt.f64 d) (/.f64 1 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 c -1) (/.f64 d (/.f64 1 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) c) (/.f64 (cbrt.f64 d) (/.f64 1 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (/.f64 d (cbrt.f64 (/.f64 c b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (cbrt.f64 (*.f64 d (/.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (/.f64 c b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (/.f64 c b))) (/.f64 d (sqrt.f64 (/.f64 c b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 (/.f64 c b))) (/.f64 (cbrt.f64 d) (sqrt.f64 (/.f64 c b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 d 1) (/.f64 b c) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 d (neg.f64 c)) (neg.f64 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 d c) 1) b a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 d c) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 d c) (sqrt.f64 b)) (sqrt.f64 b) a)))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

338×	`div-sub_binary64`
296×	`log-prod_binary64`
289×	`fma-neg_binary64`
253×	`associate-/l*_binary64`
252×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	4980
1	1298	4846
2	4943	4846

Stop Event

1×	node limit

Counts

333 → 298

Calls

Call 1

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

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

eval293.0ms (2.4%)

Compiler: Compiled 22738 to 9106 computations (60% saved)

prune264.0ms (2.2%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	988	16	1004
Fresh	7	12	19
Picked	1	0	1
Done	4	4	8
Total	1000	32	1032

Error

0.2b

Counts

1032 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	51.5b	(/.f64 (-.f64 (*.f64 a (/.f64 c d)) b) d)
	42.7b	(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
	44.5b	(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
	50.2b	(/.f64 (*.f64 (/.f64 d c) b) c)
✓	38.2b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	56.0b	(/.f64 (neg.f64 b) d)
	59.6b	(/.f64 (neg.f64 a) d)
	56.9b	(/.f64 (neg.f64 a) c)
	52.3b	(/.f64 c (/.f64 (*.f64 d d) a))
	43.4b	(/.f64 b (hypot.f64 c d))
	51.5b	(/.f64 b (/.f64 c (/.f64 d c)))
✓	35.3b	(/.f64 b d)
	59.4b	(/.f64 b c)
✓	59.7b	(/.f64 a d)
✓	39.8b	(/.f64 a c)
	18.4b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
	31.1b	(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d))
	30.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	36.9b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d b) c) c))
	19.0b	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (pow.f64 (.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (fma.f64 a c (*.f64 b d)))) 3))
	46.6b	(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))))
	24.0b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	50.8b	(*.f64 (/.f64 c d) (/.f64 a d))
	44.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 c) b)))))
	59.6b	(*.f64 (/.f64 1 d) (neg.f64 a))
	30.3b	(*.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (/.f64 a (/.f64 d c))))
	51.0b	(.f64 (/.f64 -1 d) (.f64 (/.f64 c d) (neg.f64 a)))
	35.4b	(*.f64 (/.f64 -1 d) (neg.f64 b))
	59.7b	(*.f64 (/.f64 -1 d) (neg.f64 a))
	53.0b	(.f64 d (/.f64 b (.f64 c c)))
	51.4b	(.f64 b (.f64 (/.f64 d c) (/.f64 1 c)))
	59.3b	(neg.f64 (/.f64 b c))

Compiler

Compiled 402 to 266 computations (33.8% saved)

regimes623.0ms (5.2%)

Counts

66 → 2

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 -1 d) (neg.f64 a))
(*.f64 (/.f64 -1 d) (neg.f64 b))
(*.f64 (/.f64 1 d) (neg.f64 a))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 b (/.f64 c (/.f64 d c)))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (.f64 d b) (.f64 c c))
(/.f64 (*.f64 (/.f64 d c) b) c)
(.f64 b (.f64 (/.f64 d c) (/.f64 1 c)))
(/.f64 (-.f64 (*.f64 a (/.f64 c d)) b) d)
(.f64 (/.f64 -1 d) (.f64 (/.f64 c d) (neg.f64 a)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d b) c) c))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (.f64 (/.f64 c d) a)))
(*.f64 (/.f64 -1 d) (-.f64 (neg.f64 b) (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c (/.f64 d a)) (/.f64 1 d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a (neg.f64 (/.f64 c d))) (neg.f64 d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 b (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
(*.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 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (/.f64 a (/.f64 d c))))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (.f64 (neg.f64 d) (/.f64 1 (/.f64 (neg.f64 c) b)))))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)) (hypot.f64 c d))
(.f64 (/.f64 -1 d) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)))
(.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)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (-.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 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 2) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (/.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 c c) (.f64 d d)))
(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(/.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))
(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (pow.f64 (.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (fma.f64 a c (*.f64 b d)))) 3))

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

Calls

5 calls:

181.0ms	a
167.0ms	c
138.0ms	d
83.0ms	b
39.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.1b	6	`a`
10.7b	3	`b`
9.2b	5	`c`
8.9b	5	`d`
8.7b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 766 to 247 computations (67.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0028104619306462e+291	9.498580790750523e+306

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes1.1s (9.3%)

Counts

56 → 6

Calls

Call 1

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

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

Calls

5 calls:

305.0ms	b
297.0ms	c
271.0ms	a
152.0ms	d
60.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.7b	6	`a`
14.3b	7	`b`
9.7b	6	`c`
9.9b	6	`d`
10.6b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 576 to 196 computations (66% saved)

bsearch79.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
13.0ms	5.133857468224177	101.74335948303467
28.0ms	2.232190272711606e-22	2.0703654905140232e-12
14.0ms	1.5616127678061612e-72	4.1943973875462074e-71
15.0ms	-6.381494401906576e-63	-7.755160974882896e-64
8.0ms	-3.3221912275553623e+145	-2.1220087005792027e+145

Results

70.0ms	544×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 1090 to 687 computations (37% saved)

regimes841.0ms (7%)

Counts

43 → 6

Calls

Call 1

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

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

Calls

5 calls:

265.0ms	b
200.0ms	d
192.0ms	a
131.0ms	c
39.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.4b	6	`a`
16.9b	11	`b`
9.7b	6	`c`
10.5b	6	`d`
15.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 399 to 143 computations (64.2% saved)

bsearch104.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
30.0ms	5.133857468224177	101.74335948303467
19.0ms	2.232190272711606e-22	2.0703654905140232e-12
14.0ms	1.5616127678061612e-72	4.1943973875462074e-71
32.0ms	-6.381494401906576e-63	-7.755160974882896e-64
8.0ms	-3.3221912275553623e+145	-2.1220087005792027e+145

Results

96.0ms	544×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 1086 to 683 computations (37.1% saved)

regimes878.0ms (7.3%)

Counts

41 → 6

Calls

Call 1

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

Calls

5 calls:

329.0ms	b
208.0ms	a
154.0ms	c
123.0ms	d
54.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.4b	6	`a`
16.9b	11	`b`
9.8b	6	`c`
10.8b	6	`d`
15.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 377 to 137 computations (63.7% saved)

bsearch70.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
13.0ms	5.133857468224177	101.74335948303467
21.0ms	2.232190272711606e-22	2.0703654905140232e-12
15.0ms	1.5616127678061612e-72	4.1943973875462074e-71
12.0ms	-6.381494401906576e-63	-7.755160974882896e-64
8.0ms	-3.3221912275553623e+145	-2.1220087005792027e+145

Results

62.0ms	544×	body	256	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 1086 to 683 computations (37.1% saved)

regimes666.0ms (5.5%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

4 calls:

258.0ms	b
168.0ms	a
119.0ms	d
91.0ms	c

Results

Error	Segments	Branch
22.0b	7	`a`
21.2b	9	`b`
12.7b	3	`c`
13.7b	5	`d`

Compiler

Compiled 303 to 111 computations (63.4% saved)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	5.133857468224177	101.74335948303467
11.0ms	-5.0628938741650756e-6	-1.7022299315955027e-6

Results

21.0ms	192×	body	256	valid
1.0ms	1×	body	256	infinite

Compiler

Compiled 410 to 257 computations (37.3% saved)

regimes393.0ms (3.3%)

Counts

27 → 3

Calls

Call 1

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

Calls

4 calls:

151.0ms	b
108.0ms	a
80.0ms	d
48.0ms	c

Results

Error	Segments	Branch
21.4b	9	`a`
20.4b	13	`b`
13.7b	3	`c`
13.9b	5	`d`

Compiler

Compiled 209 to 79 computations (62.2% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.133857468224177	101.74335948303467
13.0ms	-5.0628938741650756e-6	-1.7022299315955027e-6

Results

29.0ms

192×

body

256

valid

Compiler

Compiled 410 to 257 computations (37.3% saved)

regimes294.0ms (2.4%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

4 calls:

99.0ms	b
86.0ms	a
63.0ms	d
40.0ms	c

Results

Error	Segments	Branch
23.0b	8	`a`
24.6b	10	`b`
15.8b	3	`c`
15.0b	5	`d`

Compiler

Compiled 187 to 75 computations (59.9% saved)

bsearch68.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	1.1169455734032478e+54	1.0941496793484778e+55
19.0ms	-1.845681653098523e-66	-1.2663152119199126e-74
0.0ms	-3.5320744404322965e-39	-3.384085145126963e-39
37.0ms	-3.0282123823581924e+54	-7.686685501452646e+52

Results

62.0ms	352×	body	256	valid
2.0ms	18×	body	256	infinite

Compiler

Compiled 730 to 457 computations (37.4% saved)

regimes454.0ms (3.8%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

137.0ms	b
112.0ms	a
112.0ms	c
88.0ms	d

Results

Error	Segments	Branch
24.6b	8	`a`
25.3b	10	`b`
16.4b	5	`c`
17.1b	5	`d`

Compiler

Compiled 176 to 72 computations (59.1% saved)

bsearch43.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	5.133857468224177	101.74335948303467
13.0ms	-1.273445168699717e-128	-2.746534359747509e-129
0.0ms	-4.337786695210252e-108	-4.222514177705784e-108
15.0ms	-1.7022299315955027e-6	-4.643185489489164e-10

Results

38.0ms	336×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 518 to 347 computations (33% saved)

regimes344.0ms (2.9%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

119.0ms	b
85.0ms	a
85.0ms	c
50.0ms	d

Results

Error	Segments	Branch
25.5b	8	`a`
27.1b	9	`b`
21.1b	5	`c`
20.8b	5	`d`

Compiler

Compiled 154 to 68 computations (55.8% saved)

bsearch50.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	35386029794967.34	6.014951812590526e+22
18.0ms	-1.845681653098523e-66	-1.2663152119199126e-74
0.0ms	-3.5320744404322965e-39	-3.384085145126963e-39
14.0ms	-3.0282123823581924e+54	-7.686685501452646e+52

Results

45.0ms	400×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 426 to 317 computations (25.6% saved)

regimes22.0ms (0.2%)

Accuracy

Total -22.4b remaining (-56.2%)

Threshold costs -22.4b (-56.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

10.0ms	d
4.0ms	a
3.0ms	c
3.0ms	b

Results

Error	Segments	Branch
39.8b	1	`a`
39.8b	1	`b`
39.8b	1	`c`
39.8b	1	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
12×	`*-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	792
1	160	792
2	171	792
3	183	792
4	189	792
5	192	792
6	193	792

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1999999999999999915721804700692568264307103756193028567705035546458066308011144957252473074143807250296165225781973727428404914040084012839363052749931748355577247086899988970114516525323491896053535264551226099793920157922636301090836929322135983339163576571058010961411376392137707276468224) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))))
(if (<=.f64 c -23500000000000000991247300134678297708230677576330860067569720261221919464624917926386753607706961012035631228417051805498521922211725015252992000) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -1250554563763015/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 2785010123894805/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 1687496479023819/324518553658426726783156020576256) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (if (<=.f64 c 15/2) (/.f64 b d) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d)))))))
(if (<=.f64 c -21499999999999999904005300122070514651508042667017106903958887017950228916611034050767407924165185783786537001097029786825230985345605416240807936) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -6484356997289707/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1771714029709865/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 4040636288227481/79228162514264337593543950336) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 23) (/.f64 b d) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d)))))))
(if (<=.f64 c -23500000000000000991247300134678297708230677576330860067569720261221919464624917926386753607706961012035631228417051805498521922211725015252992000) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -8003549208083295/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 3232601036663613/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 4208996133570293/2475880078570760549798248448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 23/2) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))))))))
(if (<=.f64 c -4958484807013127/1180591620717411303424) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 28) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))
(if (<=.f64 c -4486248158726163/2361183241434822606848) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 15) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))
(if (<=.f64 d -559999999999999996203731257642511666818556727488675840) (+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d)))) (if (<=.f64 d -5363734393030611/1532495540865888858358347027150309183618739122183602176) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d -6829695324231079/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d)))) (if (<=.f64 d 1149999999999999970936443042957218206470051743750160384) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))))))
(if (<=.f64 c -5742397643169489/302231454903657293676544) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2842540665798069/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (/.f64 b d) (if (<=.f64 c -2438866054934369/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (-.f64 (.f64 a (/.f64 c d)) b) d) (if (<=.f64 c 21/2) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -1650000000000000010082213245255340127622731893693218816) (/.f64 b d) (if (<=.f64 d -5363734393030611/1532495540865888858358347027150309183618739122183602176) (/.f64 a c) (if (<=.f64 d -6829695324231079/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 b d) (if (<=.f64 d 80000000000000000) (/.f64 a c) (/.f64 b d)))))
(/.f64 a c)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1999999999999999915721804700692568264307103756193028567705035546458066308011144957252473074143807250296165225781973727428404914040084012839363052749931748355577247086899988970114516525323491896053535264551226099793920157922636301090836929322135983339163576571058010961411376392137707276468224) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))))
(if (<=.f64 c -23500000000000000991247300134678297708230677576330860067569720261221919464624917926386753607706961012035631228417051805498521922211725015252992000) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -1250554563763015/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 2785010123894805/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 1687496479023819/324518553658426726783156020576256) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (if (<=.f64 c 15/2) (/.f64 b d) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d)))))))
(if (<=.f64 c -21499999999999999904005300122070514651508042667017106903958887017950228916611034050767407924165185783786537001097029786825230985345605416240807936) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -6484356997289707/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1771714029709865/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 4040636288227481/79228162514264337593543950336) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 23) (/.f64 b d) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d)))))))
(if (<=.f64 c -23500000000000000991247300134678297708230677576330860067569720261221919464624917926386753607706961012035631228417051805498521922211725015252992000) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -8003549208083295/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 3232601036663613/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 4208996133570293/2475880078570760549798248448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 23/2) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))))))))
(if (<=.f64 c -4958484807013127/1180591620717411303424) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 28) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))
(if (<=.f64 c -4486248158726163/2361183241434822606848) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 15) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))
(if (<=.f64 d -559999999999999996203731257642511666818556727488675840) (+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d)))) (if (<=.f64 d -5363734393030611/1532495540865888858358347027150309183618739122183602176) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d -6829695324231079/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d)))) (if (<=.f64 d 1149999999999999970936443042957218206470051743750160384) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))))))
(if (<=.f64 c -5742397643169489/302231454903657293676544) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2842540665798069/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (/.f64 b d) (if (<=.f64 c -2438866054934369/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (-.f64 (.f64 a (/.f64 c d)) b) d) (if (<=.f64 c 21/2) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -1650000000000000010082213245255340127622731893693218816) (/.f64 b d) (if (<=.f64 d -5363734393030611/1532495540865888858358347027150309183618739122183602176) (/.f64 a c) (if (<=.f64 d -6829695324231079/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 b d) (if (<=.f64 d 80000000000000000) (/.f64 a c) (/.f64 b d)))))
(/.f64 a c)

Compiler

Compiled 582 to 252 computations (56.7% saved)

soundness0.0ms (0%)

end100.0ms (0.8%)

Compiler: Compiled 546 to 142 computations (74% saved)