Details

analyze597.0ms (3.3%)

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)

sample1.2s (6.7%)

Results

1.1s	8256×	body	256	valid
64.0ms	494×	body	256	infinite

Bogosity

preprocess23.0ms (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)

simplify7.0ms (0%)

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

29.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (.f64 a c) (.f64 b d))
✓	28.9b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series15.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(+.f64 (.f64 a c) (.f64 b 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)))

rewrite73.0ms (0.4%)

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
528×	`associate-/r/_binary64`
448×	`associate-/l/_binary64`
358×	`sub-neg_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410

Stop Event

1×	node limit

Counts

205 → 133

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))

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 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 d (/.f64 b (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 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (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 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (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 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(/.f64 (.f64 c a) (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 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (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 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
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(fma.f64 (/.f64 c d) (/.f64 a d) (-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.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 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(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 c c) (/.f64 (pow.f64 d 3) b)))
(fma.f64 (/.f64 c d) (/.f64 a d) (-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.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 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))

eval29.0ms (0.2%)

Compiler: Compiled 2633 to 813 computations (69.1% saved)

prune31.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	121	12	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	13	134

Error

0.0b

Counts

134 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	36.1b	(/.f64 a c)
✓	29.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	20.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	37.3b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	40.9b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	32.6b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
▶	40.5b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	38.0b	(/.f64 b d)
	41.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	26.8b	(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
	29.9b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
▶	35.6b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))

Compiler

Compiled 439 to 253 computations (42.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	19.1b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series28.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (/.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))

rewrite81.0ms (0.4%)

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))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(fma.f64 a c (*.f64 b 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 d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (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) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 a c (.f64 b d)) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -1/2) (.f64 (pow.f64 (hypot.f64 c d) -1/2) (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))))) (#(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 (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 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)))))) (#(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))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2)) (cbrt.f64 (fma.f64 a c (.f64 b d))))))) 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simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
806×	`associate-/l*_binary64`
609×	`associate-l_binary64`
605×	`associate-r_binary64`
503×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	3418
1	592	3194
2	2192	3054

Stop Event

1×	node limit

Counts

331 → 257

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 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 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 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 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (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 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
(/.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 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))

Outputs
(.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 (.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.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 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c 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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.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 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c 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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 b (+.f64 (/.f64 c (/.f64 d a)) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))))
(+.f64 b (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 (.f64 c c) d)) (*.f64 (/.f64 c d) a)))
(fma.f64 -1/2 (*.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (fma.f64 (/.f64 c d) a b))
(+.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 b (+.f64 (/.f64 c (/.f64 d a)) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (*.f64 d d))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 (.f64 c c) d)) (*.f64 (/.f64 c d) a)) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) b))
(fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (*.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (fma.f64 (/.f64 c d) a b)))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) b a)
(+.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 (.f64 c c)) (.f64 d d)) (.f64 (/.f64 d c) b)))
(fma.f64 (/.f64 d c) b (fma.f64 (/.f64 -1/2 c) (/.f64 (*.f64 d d) (/.f64 c a)) a))
(+.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)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (.f64 (/.f64 d c) b)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) a))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (fma.f64 (/.f64 d c) b (fma.f64 (/.f64 -1/2 c) (/.f64 (.f64 d d) (/.f64 c a)) a)))
(*.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 (/.f64 d c) b))
(neg.f64 (fma.f64 (/.f64 d c) b 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)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)))
(-.f64 (-.f64 (.f64 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) 1/2) (*.f64 (/.f64 d c) b)) a)
(-.f64 (.f64 (/.f64 1/2 c) (/.f64 (.f64 d d) (/.f64 c a))) (fma.f64 (/.f64 d c) b 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))))
(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 (.f64 c c)) (.f64 d d)) 1/2 (-.f64 (-.f64 (/.f64 (.f64 (pow.f64 d 3) 1/2) (/.f64 (pow.f64 c 3) b)) a) (*.f64 (/.f64 d c) b)))
(fma.f64 (.f64 (/.f64 a c) (/.f64 d (/.f64 c d))) 1/2 (-.f64 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (*.f64 b 1/2)) (fma.f64 (/.f64 d c) b 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 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c 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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.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 (.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.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 (.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(+.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 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) b a)
(+.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 (.f64 c c)) (.f64 d d)) (.f64 (/.f64 d c) b)))
(fma.f64 (/.f64 d c) b (fma.f64 (/.f64 -1/2 c) (/.f64 (*.f64 d d) (/.f64 c a)) a))
(+.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)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (.f64 (/.f64 d c) b)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) a))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (fma.f64 (/.f64 d c) b (fma.f64 (/.f64 -1/2 c) (/.f64 (.f64 d d) (/.f64 c a)) a)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 b (+.f64 (/.f64 c (/.f64 d a)) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))))
(+.f64 b (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 (.f64 c c) d)) (*.f64 (/.f64 c d) a)))
(fma.f64 -1/2 (*.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (fma.f64 (/.f64 c d) a b))
(+.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))))))
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(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (/.f64 1 d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (pow.f64 c 4) -3/8)) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (/.f64 (.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5))) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 c 6) -3/8) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) (/.f64 (fma.f64 (pow.f64 c 6) 1/8 (.f64 (pow.f64 c 6) 3/16)) (pow.f64 d 7)))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (/.f64 (.f64 1/2 (.f64 c c)) (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 (/.f64 c (pow.f64 d 3)) c) (/.f64 -1 d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)) (/.f64 1 d))
(fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(fma.f64 1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 c 4) -3/8)) (pow.f64 d 7)) (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)))) (/.f64 1 d))
(+.f64 (fma.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) 1/8 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 6) -3/8) (pow.f64 d 7)) (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5))))) (/.f64 -1 d))
(+.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (fma.f64 1/2 (.f64 (/.f64 c (pow.f64 d 3)) c) (/.f64 (.f64 (pow.f64 c 6) 3/16) (pow.f64 d 7)))) (fma.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) 1/8 (/.f64 -1 d)))

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.5b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
536×	`associate-/r/_binary64`
500×	`associate-/l/_binary64`
347×	`sub-neg_binary64`
310×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	930
1	149	876
2	482	822
3	2612	798
4	6647	798

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
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(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a))) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.6b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c)))
✓	4.2b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
✓	7.0b	(/.f64 (*.f64 d a) c)
✓	7.3b	(/.f64 d (*.f64 c c))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series26.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	b	@	0	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	c	@	-inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	a	@	0	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	a	@	inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log-prod_binary64`
550×	`fma-def_binary64`
314×	`log-div_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	299	56
2	4797	56

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-neg_binary64`
574×	`fma-def_binary64`
571×	`associate-/l*_binary64`
397×	`distribute-neg-frac_binary64`
393×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	2679
1	88	2607
2	246	2601
3	1081	2247
4	5914	2187

Stop Event

1×	node limit

Counts

367 → 230

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 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a)
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c))))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 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 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 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 d b) (pow.f64 c 2))))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 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 d b) (pow.f64 c 2))))
(/.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 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 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 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 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))

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

localize39.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
414×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`
278×	`prod-diff_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	191	14
2	2651	14

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

931×	`associate-/r/_binary64`
846×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	660
1	20	660
2	38	588
3	84	588
4	227	588
5	839	588
6	3882	588
7	4783	588
8	4993	588
9	5213	588
10	5441	588
11	5776	588
12	7223	588

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 (/.f64 c 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)))
(+.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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 (/.f64 c 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)))
(+.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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 (/.f64 c 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)))
(+.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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 (/.f64 c 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)))
(+.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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 (/.f64 c 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)))
(+.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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 (/.f64 c 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)))
(+.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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 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))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

eval217.0ms (1.2%)

Compiler: Compiled 12936 to 4194 computations (67.6% saved)

prune114.0ms (0.6%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	583	13	596
Fresh	5	2	7
Picked	1	0	1
Done	2	3	5
Total	591	18	609

Error

0.0b

Counts

609 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	32.6b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	34.0b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 (.f64 c c) (-.f64 b (.f64 d (/.f64 a c))))))
	53.1b	(/.f64 b (*.f64 (/.f64 c d) c))
✓	36.1b	(/.f64 a c)
	54.0b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (*.f64 d (/.f64 a c))))
✓	40.5b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	40.7b	(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
	41.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	52.4b	(*.f64 c (/.f64 (/.f64 a d) d))
	32.0b	(+.f64 (/.f64 a c) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) (/.f64 c (/.f64 d c))))
✓	29.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	38.0b	(/.f64 b d)
	37.3b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
▶	20.5b	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	30.7b	(+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c))
▶	33.4b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c) c))
	44.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))

Compiler

Compiled 543 to 317 computations (41.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(.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)
	19.1b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series26.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	c	@	0	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
5.0ms	a	@	0	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
3.0ms	d	@	0	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
2.0ms	c	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
2.0ms	d	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)

rewrite68.0ms (0.4%)

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))))))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-def_binary64`
414×	`distribute-lft-in_binary64`
414×	`distribute-rgt-in_binary64`
413×	`times-frac_binary64`
404×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2186
1	500	2082
2	1936	1911

Stop Event

1×	node limit

Counts

111 → 89

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))))

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))
(fma.f64 -1/2 (*.f64 (/.f64 c (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 (.f64 -2 (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)))
(fma.f64 -1/2 (.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 (pow.f64 c 4) (fma.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (fma.f64 (/.f64 1 (pow.f64 d 3)) 1/16 (/.f64 1/8 (pow.f64 d 3)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9))))) (.f64 -2 (sqrt.f64 (/.f64 1 d))) (/.f64 1/16 (pow.f64 d 5))) (/.f64 1 d)))
(+.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 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (fma.f64 (pow.f64 c 6) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (-.f64 (/.f64 1/16 (pow.f64 d 5)) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) 1/4) 2)) (.f64 d d))))) (fma.f64 -1/4 (/.f64 (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 d d)) (.f64 1/8 (.f64 (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) 1/4) 2)) (sqrt.f64 (/.f64 1 (pow.f64 d 7)))))))) (.f64 1/2 (.f64 (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))))) (sqrt.f64 (/.f64 1 (pow.f64 d 5)))))) (.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))))))
(+.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (fma.f64 (pow.f64 c 6) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (+.f64 (/.f64 1/16 (pow.f64 d 5)) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) 1/4) 2)) (.f64 d d))))) (fma.f64 -1/4 (/.f64 (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 d d)) (.f64 1/8 (.f64 (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) 1/4) 2)) (sqrt.f64 (/.f64 1 (pow.f64 d 7)))))))) (.f64 (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 1/2 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))))) (.f64 (pow.f64 c 4) (fma.f64 (.f64 -2 (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))))))
(fma.f64 -1/2 (.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 (pow.f64 c 4) (fma.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (fma.f64 (/.f64 1 (pow.f64 d 3)) 1/16 (/.f64 1/8 (pow.f64 d 3)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9))))) (.f64 -2 (sqrt.f64 (/.f64 1 d))) (/.f64 1/16 (pow.f64 d 5))) (fma.f64 (pow.f64 c 6) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 d)) (fma.f64 1/8 (.f64 (fma.f64 (/.f64 1 (pow.f64 d 3)) 1/16 (/.f64 1/8 (pow.f64 d 3))) (sqrt.f64 (/.f64 1 (pow.f64 d 7)))) (fma.f64 (/.f64 -1/4 d) (/.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (fma.f64 (/.f64 1 (pow.f64 d 3)) 1/16 (/.f64 1/8 (pow.f64 d 3)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9))))) d) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (.f64 1/2 (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 1 (pow.f64 d 3)) 1/16 (/.f64 1/8 (pow.f64 d 3))) (.f64 d d)) (/.f64 1/16 (pow.f64 d 5)))))))) (.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (fma.f64 (/.f64 1 (pow.f64 d 3)) 1/16 (/.f64 1/8 (pow.f64 d 3)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 9))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))))) (/.f64 1 d))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (/.f64 1 c))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.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)))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9)))))) (/.f64 1/16 (pow.f64 c 5))) (pow.f64 d 4) (/.f64 1 c)))
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) -1/2)))) (/.f64 1/16 (pow.f64 c 5))) (pow.f64 d 4) (/.f64 1 c)))
(fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (fma.f64 -1/2 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (/.f64 -1/16 (pow.f64 c 3)))))) (/.f64 1/16 (pow.f64 c 5))) (pow.f64 d 4) (fma.f64 -1/2 (.f64 (/.f64 d (pow.f64 c 3)) d) (/.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))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9)))))) (/.f64 1/16 (pow.f64 c 5))) (pow.f64 d 4) (fma.f64 (pow.f64 d 6) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (+.f64 (/.f64 1/16 (pow.f64 c 5)) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (.f64 c c))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))))) (.f64 c c)) (.f64 1/8 (.f64 (+.f64 (/.f64 1/8 (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 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))))) (sqrt.f64 (/.f64 1 (pow.f64 c 5)))))) (/.f64 1 c))))
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) -1/2)))) (/.f64 1/16 (pow.f64 c 5))) (pow.f64 d 4) (fma.f64 (pow.f64 d 6) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (+.f64 (/.f64 1/16 (pow.f64 c 5)) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (.f64 c c))))) (fma.f64 1/8 (.f64 (+.f64 (/.f64 1/8 (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 (/.f64 -1/4 c) (/.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) -1/2))) c))))) (.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) -1/2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 c 5)))))) (/.f64 1 c))))
(fma.f64 (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (fma.f64 -1/2 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (/.f64 -1/16 (pow.f64 c 3)))))) (/.f64 1/16 (pow.f64 c 5))) (pow.f64 d 4) (fma.f64 -1/2 (.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 (pow.f64 d 6) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 1 c)) (fma.f64 1/8 (.f64 (fma.f64 1/16 (/.f64 1 (pow.f64 c 3)) (/.f64 1/8 (pow.f64 c 3))) (sqrt.f64 (/.f64 1 (pow.f64 c 7)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 1 (pow.f64 c 3)) (/.f64 1/8 (pow.f64 c 3))) (.f64 c c)) (/.f64 1/16 (pow.f64 c 5)))) (.f64 -1/4 (/.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (fma.f64 -1/2 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (/.f64 -1/16 (pow.f64 c 3))))) (.f64 c c)))))) (.f64 1/2 (.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 c 9))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 c 3))) (fma.f64 -1/2 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (/.f64 -1/16 (pow.f64 c 3))))) (sqrt.f64 (/.f64 1 (pow.f64 c 5)))))) (/.f64 1 c))))
(/.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 (.f64 d d)) a))
(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 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a)) (/.f64 b (/.f64 (pow.f64 d 3) (*.f64 c c))))
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(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(/.f64 d (/.f64 (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 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 (.f64 c a) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.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 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 (.f64 c a) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.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 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 (.f64 c a) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	2.0b	(*.f64 (/.f64 c d) (/.f64 a d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series10.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 1))))))

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

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/r/_binary64`
851×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	1020
1	20	1020
2	38	948
3	84	948
4	226	948
5	836	948
6	3878	948
7	4779	948
8	4989	948
9	5209	948
10	5437	948
11	5774	948
12	7224	948

Stop Event

1×	node limit

Counts

230 → 151

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)))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(+.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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(*.f64 d (/.f64 a c))
✓	4.2b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 (.f64 c c) (-.f64 b (.f64 d (/.f64 a c))))))
✓	4.8b	(/.f64 (.f64 c c) (-.f64 b (.f64 d (/.f64 a c))))
✓	6.4b	(/.f64 d (/.f64 (.f64 c c) (-.f64 b (.f64 d (/.f64 a c)))))

Compiler

Compiled 67 to 11 computations (83.6% saved)

series19.0ms (0.1%)

Counts

4 → 180

Calls

45 calls:

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

rewrite128.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`fma-def_binary64`
345×	`log-div_binary64`
322×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	289	65
2	4947	65

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-/l*_binary64`
727×	`distribute-neg-frac_binary64`
558×	`associate-/r*_binary64`
387×	`associate-r_binary64`
357×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	4425
1	251	4281
2	1080	4191
3	6825	4191

Stop Event

1×	node limit

Counts

387 → 242

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.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 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (.f64 (pow.f64 a 3) (pow.f64 d 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 b 3)) (.f64 (pow.f64 a 4) (pow.f64 d 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (*.f64 (pow.f64 a 3) (pow.f64 d 3)))))))
(/.f64 (pow.f64 c 2) b)
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (/.f64 (pow.f64 c 2) b))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 d 3)) (.f64 c (pow.f64 b 4))) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3)))))
(/.f64 (pow.f64 c 2) b)
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (/.f64 (pow.f64 c 2) b))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 d 3)) (.f64 c (pow.f64 b 4))) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3)))))
(.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (.f64 (pow.f64 a 3) (pow.f64 d 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 b 3)) (.f64 (pow.f64 a 4) (pow.f64 d 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (*.f64 (pow.f64 a 3) (pow.f64 d 3)))))))
(/.f64 (pow.f64 c 2) b)
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (/.f64 (pow.f64 c 2) b))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 d 3)) (.f64 c (pow.f64 b 4))) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3)))))
(/.f64 (pow.f64 c 2) b)
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (/.f64 (pow.f64 c 2) b))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 d 3)) (.f64 c (pow.f64 b 4))) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3)))))
(/.f64 (pow.f64 c 2) b)
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (/.f64 (pow.f64 c 2) b))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 d 3)) (.f64 c (pow.f64 b 4))) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3)))))
(.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (.f64 (pow.f64 a 3) (pow.f64 d 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 b 3)) (.f64 (pow.f64 a 4) (pow.f64 d 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (*.f64 (pow.f64 a 3) (pow.f64 d 3)))))))
(.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (.f64 (pow.f64 a 3) (pow.f64 d 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 b 3)) (.f64 (pow.f64 a 4) (pow.f64 d 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (*.f64 (pow.f64 a 3) (pow.f64 d 3)))))))
(/.f64 (pow.f64 c 2) b)
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (/.f64 (pow.f64 c 2) b))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 a d)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 d 3)) (.f64 c (pow.f64 b 4))) (+.f64 (/.f64 (pow.f64 c 2) b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 d 2)) (pow.f64 b 3)))))
(.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (.f64 (pow.f64 a 3) (pow.f64 d 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 b 3)) (.f64 (pow.f64 a 4) (pow.f64 d 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (*.f64 (pow.f64 a 3) (pow.f64 d 3)))))))
(.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (.f64 (pow.f64 a 3) (pow.f64 d 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (.f64 a d))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) (pow.f64 b 3)) (.f64 (pow.f64 a 4) (pow.f64 d 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) b) (.f64 (pow.f64 a 2) (pow.f64 d 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 b 2)) (*.f64 (pow.f64 a 3) (pow.f64 d 3)))))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a)
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c))))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 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 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 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 d b) (pow.f64 c 2))))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 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 d b) (pow.f64 c 2))))
(/.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 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 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 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 d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)
(/.f64 (*.f64 a d) c)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c) c)
	3.0b	(*.f64 d (/.f64 a c))
✓	4.2b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c) c))
✓	5.6b	(/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c)

Compiler

Compiled 73 to 11 computations (84.9% saved)

series15.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`log-prod_binary64`
641×	`fma-def_binary64`
358×	`log-div_binary64`
319×	`fma-neg_binary64`
272×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	284	60
2	4820	58

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 d c) (/.f64 (fma.f64 (/.f64 a c) (neg.f64 d) b) c) (/.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (-.f64 a (*.f64 (/.f64 d c) (fma.f64 (/.f64 a c) (neg.f64 d) b))) c)) (/.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 (fma.f64 (/.f64 a c) (neg.f64 d) b) c)) 2) (/.f64 (-.f64 a (*.f64 (/.f64 d c) (fma.f64 (/.f64 a c) (neg.f64 d) b))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 d c) (/.f64 (fma.f64 (/.f64 a c) (neg.f64 d) b) c) (/.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 d c) (/.f64 (fma.f64 (/.f64 a c) (neg.f64 d) b) c) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 d c) (/.f64 (fma.f64 (/.f64 a c) (neg.f64 d) b) c) (/.f64 a c))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 d c) (/.f64 (fma.f64 (/.f64 a c) (neg.f64 d) b) c) (/.f64 a c))) 2))))) (#(struct:change 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simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

726×	`fma-neg_binary64`
633×	`fma-def_binary64`
628×	`associate-/l*_binary64`
428×	`distribute-neg-frac_binary64`
426×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	3219
1	95	3111
2	271	3105
3	1209	2535
4	6531	2475

Stop Event

1×	node limit

Counts

339 → 218

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) c)
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(/.f64 (*.f64 d b) c)
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(/.f64 (*.f64 d b) c)
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(/.f64 (*.f64 d b) c)
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))
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(/.f64 (*.f64 d b) c)
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(/.f64 (*.f64 d b) c)
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(/.f64 (*.f64 d b) (pow.f64 c 2))
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(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c))))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 1 c)))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(+.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 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 d b) (pow.f64 c 2))))
(/.f64 a c)
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(+.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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.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 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 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 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 d b) (pow.f64 c 2))))
(/.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 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 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 (/.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 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.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 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))

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

eval322.0ms (1.8%)

Compiler: Compiled 19726 to 5616 computations (71.5% saved)

prune164.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	837	7	844
Fresh	7	3	10
Picked	1	0	1
Done	4	3	7
Total	849	13	862

Error

Counts

862 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
▶	52.4b	(*.f64 c (/.f64 (/.f64 a d) d))
▶	30.6b	(+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))
	53.1b	(/.f64 b (*.f64 (/.f64 c d) c))
✓	36.1b	(/.f64 a c)
	40.7b	(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
	32.6b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
▶	51.7b	(/.f64 (/.f64 d c) (/.f64 c b))
▶	32.5b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d)))
✓	38.0b	(/.f64 b d)
	30.9b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓	40.5b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	32.6b	(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))

Compiler

Compiled 305 to 187 computations (38.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.3b	(/.f64 (*.f64 d (/.f64 b c)) c)
✓	2.3b	(+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))
✓	4.5b	(*.f64 d (/.f64 b c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series14.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
454×	`fma-def_binary64`
328×	`pow2_binary64`
286×	`log-div_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	229	33
2	3771	31

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

Outputs

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

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/r/_binary64`
870×	`*-commutative_binary64`
612×	`times-frac_binary64`
592×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	1272
1	23	1272
2	43	1200
3	91	1200
4	239	1200
5	881	1200
6	3973	1200
7	4868	1200
8	5078	1200
9	5297	1200
10	5525	1200
11	5860	1200
12	7372	1200

Stop Event

1×	node limit

Counts

307 → 193

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) c)
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.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))

Outputs
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
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(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 a d) d)
✓	7.1b	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
800×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
782×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2140	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-/r/_binary64`
881×	`*-commutative_binary64`
630×	`times-frac_binary64`
525×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	36	528
3	77	528
4	215	528
5	812	528
6	3801	528
7	4624	528
8	4834	528
9	5053	528
10	5281	528
11	5612	528
12	7112	528

Stop Event

1×	node limit

Counts

121 → 65

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 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))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(/.f64 (/.f64 d c) (/.f64 c b))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
389×	`exp-prod_binary64`
332×	`prod-exp_binary64`
284×	`pow-prod-down_binary64`
224×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	10
2	2469	10

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

921×	`associate-/r/_binary64`
837×	`*-commutative_binary64`
624×	`times-frac_binary64`
514×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	16	360
2	34	360
3	75	360
4	211	360
5	789	360
6	3752	360
7	4575	360
8	4785	360
9	5004	360
10	5232	360
11	5563	360
12	6991	360
13	7970	360

Stop Event

1×	node limit

Counts

109 → 75

Calls

Call 1

Inputs
(/.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))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(.f64 d (/.f64 b (.f64 c c)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.4b	(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
✓	2.0b	(/.f64 (/.f64 a d) (/.f64 d c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`log-prod_binary64`
479×	`fma-def_binary64`
348×	`log-div_binary64`
278×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	237	24
2	4125	24

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))) (/.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 2) (-.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) 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simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/r/_binary64`
851×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	1020
1	20	1020
2	38	948
3	84	948
4	226	948
5	836	948
6	3878	948
7	4779	948
8	4989	948
9	5209	948
10	5437	948
11	5774	948
12	7224	948

Stop Event

1×	node limit

Counts

255 → 174

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)))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(/.f64 b d)
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d 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))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.4b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d)))
✓	1.6b	(/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))
✓	4.9b	(*.f64 (/.f64 c d) (neg.f64 a))

Compiler

Compiled 46 to 11 computations (76.1% saved)

series11.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`log-prod_binary64`
378×	`fma-def_binary64`
268×	`log-div_binary64`
262×	`fma-neg_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	277	32
2	4955	31

Stop Event

1×	node limit

Counts

3 → 274

Calls

Call 1

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

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

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
502×	`associate-*l/_binary64`
485×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
405×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	1344
1	29	1344
2	64	1272
3	157	1272
4	440	1272
5	1603	1272
6	4100	1272
7	5577	1272
8	6521	1272

Stop Event

1×	node limit

Counts

394 → 281

Calls

Call 1

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

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

eval212.0ms (1.2%)

Compiler: Compiled 14276 to 3601 computations (74.8% saved)

prune192.0ms (1.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	781	7	788
Fresh	1	4	5
Picked	1	0	1
Done	2	5	7
Total	785	16	801

Error

Counts

801 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	51.7b	(*.f64 (/.f64 d c) (/.f64 b c))
✓	30.6b	(+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))
	53.1b	(/.f64 b (*.f64 (/.f64 c d) c))
✓	36.1b	(/.f64 a c)
	54.0b	(.f64 c (.f64 a (/.f64 1 (*.f64 d d))))
	53.6b	(/.f64 (.f64 c a) (.f64 d d))
	40.7b	(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
	34.1b	(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 c d) d) a))
	32.6b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
	50.6b	(/.f64 (*.f64 c (/.f64 a d)) d)
	52.4b	(/.f64 c (/.f64 d (/.f64 a d)))
✓	38.0b	(/.f64 b d)
	52.4b	(*.f64 d (/.f64 (/.f64 b c) c))
✓	40.5b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	51.7b	(/.f64 (/.f64 d c) (/.f64 c b))

Compiler

Compiled 193 to 121 computations (37.3% saved)

regimes561.0ms (3.1%)

Counts

40 → 5

Calls

Call 1

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

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

Calls

5 calls:

175.0ms	b
117.0ms	d
113.0ms	c
105.0ms	a
37.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
15.4b	3	`a`
14.5b	7	`b`
9.7b	5	`c`
9.4b	5	`d`
10.9b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 512 to 158 computations (69.1% saved)

bsearch171.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	1.2320390717440114e+132	8.146545092953538e+137
38.0ms	1.7375589466771644e-121	4.871758602149742e-121
45.0ms	-2.146933016982573e-71	-1.2089157549415276e-80
42.0ms	-1.0949182900745738e+85	-4.083455114343713e+83

Compiler

Compiled 69 to 41 computations (40.6% saved)

regimes468.0ms (2.6%)

Counts

37 → 5

Calls

Call 1

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

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

Calls

5 calls:

134.0ms	b
98.0ms	c
93.0ms	a
78.0ms	d
39.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
15.4b	3	`a`
14.8b	7	`b`
9.7b	5	`c`
10.4b	4	`d`
10.9b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 460 to 143 computations (68.9% saved)

bsearch150.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
53.0ms	3.482515939733231e+75	5.053183670536352e+78
25.0ms	4.6926259780825635e-76	4.4582824589023403e-72
19.0ms	-3.6820637051648043e-197	-9.675654472220581e-201
52.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 62 to 38 computations (38.7% saved)

regimes754.0ms (4.1%)

Counts

36 → 4

Calls

Call 1

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

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

Calls

5 calls:

307.0ms	b
190.0ms	a
144.0ms	c
69.0ms	d
33.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
19.0b	8	`a`
19.4b	11	`b`
12.3b	6	`c`
12.0b	4	`d`
18.3b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 444 to 138 computations (68.9% saved)

bsearch144.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
24.0ms	1.2320390717440114e+132	8.146545092953538e+137
20.0ms	1.7375589466771644e-121	4.871758602149742e-121
100.0ms	-4.083455114343713e+83	-1.6230271832909944e+72

Compiler

Compiled 68 to 41 computations (39.7% saved)

regimes724.0ms (4%)

Counts

25 → 4

Calls

Call 1

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

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

Calls

5 calls:

216.0ms	a
207.0ms	b
158.0ms	d
108.0ms	c
25.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
19.0b	8	`a`
19.4b	11	`b`
12.3b	6	`c`
12.2b	4	`d`
18.3b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 280 to 95 computations (66.1% saved)

bsearch88.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
40.0ms	1.2320390717440114e+132	8.146545092953538e+137
23.0ms	1.7375589466771644e-121	4.871758602149742e-121
25.0ms	-4.083455114343713e+83	-1.6230271832909944e+72

Compiler

Compiled 68 to 41 computations (39.7% saved)

regimes934.0ms (5.1%)

Counts

24 → 4

Calls

Call 1

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

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

Calls

5 calls:

311.0ms	b
302.0ms	a
181.0ms	c
77.0ms	d
35.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
19.0b	8	`a`
19.4b	11	`b`
12.3b	6	`c`
12.2b	4	`d`
18.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 263 to 92 computations (65% saved)

bsearch98.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	1.2320390717440114e+132	8.146545092953538e+137
22.0ms	1.7375589466771644e-121	4.871758602149742e-121
47.0ms	-4.083455114343713e+83	-1.6230271832909944e+72

Compiler

Compiled 62 to 39 computations (37.1% saved)

regimes392.0ms (2.2%)

Counts

22 → 7

Calls

Call 1

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

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

Calls

4 calls:

153.0ms	b
92.0ms	a
90.0ms	c
51.0ms	d

Results

Error	Segments	Branch
20.7b	8	`a`
19.9b	13	`b`
13.0b	7	`c`
13.4b	3	`d`

Compiler

Compiled 212 to 74 computations (65.1% saved)

bsearch523.0ms (2.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
32.0ms	4.293590831195469e-10	7.150807938557695e-6
319.0ms	-1.2452876427081202e-147	-2.3067570453393702e-151
28.0ms	-7.080983159766232e-112	-3.393440247817703e-117
43.0ms	-1.2298125846985904e-11	-1.0840091218877306e-12
45.0ms	-1.946233597391624e+86	-5.002777576194666e+85
54.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 298 to 193 computations (35.2% saved)

regimes866.0ms (4.7%)

Counts

20 → 7

Calls

Call 1

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

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

Calls

4 calls:

487.0ms	b
137.0ms	a
126.0ms	c
111.0ms	d

Results

Error	Segments	Branch
20.9b	8	`a`
19.9b	13	`b`
13.0b	7	`c`
13.4b	3	`d`

Compiler

Compiled 186 to 65 computations (65.1% saved)

bsearch589.0ms (3.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
47.0ms	4.293590831195469e-10	7.150807938557695e-6
388.0ms	-1.2452876427081202e-147	-2.3067570453393702e-151
58.0ms	-7.080983159766232e-112	-3.393440247817703e-117
24.0ms	-1.2298125846985904e-11	-1.0840091218877306e-12
31.0ms	-1.946233597391624e+86	-5.002777576194666e+85
40.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 282 to 177 computations (37.2% saved)

regimes962.0ms (5.3%)

Counts

18 → 7

Calls

Call 1

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

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

Calls

4 calls:

391.0ms	b
263.0ms	a
221.0ms	c
73.0ms	d

Results

Error	Segments	Branch
20.1b	10	`a`
21.3b	11	`b`
13.0b	7	`c`
13.4b	3	`d`

Compiler

Compiled 164 to 60 computations (63.4% saved)

bsearch223.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	4.293590831195469e-10	7.150807938557695e-6
24.0ms	-1.2871006648921432e-139	-1.8578692816690533e-145
29.0ms	-7.080983159766232e-112	-3.393440247817703e-117
77.0ms	-1.2298125846985904e-11	-1.0840091218877306e-12
24.0ms	-1.946233597391624e+86	-5.002777576194666e+85
46.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes389.0ms (2.1%)

Counts

17 → 7

Calls

Call 1

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

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

Calls

4 calls:

144.0ms	b
103.0ms	a
74.0ms	c
63.0ms	d

Results

Error	Segments	Branch
20.1b	10	`a`
21.3b	11	`b`
13.0b	7	`c`
13.4b	3	`d`

Compiler

Compiled 153 to 58 computations (62.1% saved)

bsearch233.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	4.293590831195469e-10	7.150807938557695e-6
27.0ms	-1.2871006648921432e-139	-1.8578692816690533e-145
43.0ms	-7.080983159766232e-112	-3.393440247817703e-117
53.0ms	-1.2298125846985904e-11	-1.0840091218877306e-12
47.0ms	-1.946233597391624e+86	-5.002777576194666e+85
38.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes732.0ms (4%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

4 calls:

272.0ms	b
217.0ms	c
174.0ms	a
64.0ms	d

Results

Error	Segments	Branch
20.1b	10	`a`
21.3b	11	`b`
13.0b	7	`c`
13.4b	3	`d`

Compiler

Compiled 142 to 56 computations (60.6% saved)

bsearch184.0ms (1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	4.293590831195469e-10	7.150807938557695e-6
28.0ms	-1.2871006648921432e-139	-1.8578692816690533e-145
25.0ms	-7.080983159766232e-112	-3.393440247817703e-117
56.0ms	-1.2298125846985904e-11	-1.0840091218877306e-12
24.0ms	-8.630568195952071e+90	-2.353915732253755e+90
25.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes245.0ms (1.3%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	b
71.0ms	a
63.0ms	c
32.0ms	d

Results

Error	Segments	Branch
22.1b	9	`a`
22.9b	9	`b`
13.4b	7	`c`
15.1b	3	`d`

Compiler

Compiled 131 to 53 computations (59.5% saved)

bsearch155.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	4.293590831195469e-10	7.150807938557695e-6
23.0ms	-1.2871006648921432e-139	-1.8578692816690533e-145
24.0ms	-7.080983159766232e-112	-3.393440247817703e-117
33.0ms	-1.2298125846985904e-11	-1.0840091218877306e-12
25.0ms	-8.630568195952071e+90	-2.353915732253755e+90
26.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes363.0ms (2%)

Counts

14 → 7

Calls

Call 1

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

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

Calls

4 calls:

144.0ms	a
98.0ms	c
95.0ms	b
22.0ms	d

Results

Error	Segments	Branch
22.8b	10	`a`
25.3b	7	`b`
16.9b	7	`c`
19.0b	3	`d`

Compiler

Compiled 120 to 50 computations (58.3% saved)

bsearch515.0ms (2.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	4.293590831195469e-10	7.150807938557695e-6
347.0ms	-1.2871006648921432e-139	-1.8578692816690533e-145
45.0ms	-7.080983159766232e-112	-3.393440247817703e-117
45.0ms	-9.915289969042209e+29	-1.9695647095520113e+20
28.0ms	-1.946233597391624e+86	-5.002777576194666e+85
26.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 242 to 161 computations (33.5% saved)

regimes165.0ms (0.9%)

Accuracy

Total -43.2b remaining (-219.6%)

Threshold costs -43.2b (-219.6%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	a
50.0ms	c
30.0ms	b
19.0ms	d

Results

Error	Segments	Branch
23.7b	10	`a`
27.2b	5	`b`
19.7b	7	`c`
21.9b	3	`d`

Compiler

Compiled 98 to 46 computations (53.1% saved)

bsearch549.0ms (3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
143.0ms	7.245367067430426e-18	4.293590831195469e-10
244.0ms	-1.2452876427081202e-147	-2.3067570453393702e-151
43.0ms	-7.080983159766232e-112	-3.393440247817703e-117
40.0ms	-9.915289969042209e+29	-1.9695647095520113e+20
40.0ms	-2.353915732253755e+90	-1.946233597391624e+86
40.0ms	-2.0068511289131843e+124	-5.0102178538660356e+123

Compiler

Compiled 154 to 113 computations (26.6% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
19×	`*-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1588
1	190	1588
2	210	1586
3	227	1586
4	237	1586
5	242	1586
6	243	1586

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 d -10949182900745738469601950734058909451140286787296101955805585789314286339715898540032) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -5338598381804003/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 d 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (/.f64 a c) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) (/.f64 c (/.f64 d c)))) (if (<=.f64 d 1232039071744011375450899505793219013316917689183846284820818480049582991074676914923945575495109697096949348058464119267716824563712) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 3823619176334395/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 c 3482515939733230993721970092121483360597399796984603268943406570788425302016) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))))))
(if (<=.f64 d -408345511434371304132678182876846527389514537203481663022446966383095474659082108928) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 1232039071744011375450899505793219013316917689183846284820818480049582991074676914923945575495109697096949348058464119267716824563712) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))))))
(if (<=.f64 d -408345511434371304132678182876846527389514537203481663022446966383095474659082108928) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (/.f64 a c) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) (/.f64 c (/.f64 d c)))) (if (<=.f64 d 1232039071744011375450899505793219013316917689183846284820818480049582991074676914923945575495109697096949348058464119267716824563712) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))))))
(if (<=.f64 d -408345511434371304132678182876846527389514537203481663022446966383095474659082108928) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 d 1232039071744011375450899505793219013316917689183846284820818480049582991074676914923945575495109697096949348058464119267716824563712) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -194623359739162397633881570814439654882280621190912295014389728546005643261396729724928) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c -1903042799269285/154742504910672534362390528) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c -6928759139320799/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c))))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -194623359739162397633881570814439654882280621190912295014389728546005643261396729724928) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c -1903042799269285/154742504910672534362390528) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c -6928759139320799/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c))))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -194623359739162397633881570814439654882280621190912295014389728546005643261396729724928) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c -1903042799269285/154742504910672534362390528) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c -4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c))))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -194623359739162397633881570814439654882280621190912295014389728546005643261396729724928) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -1903042799269285/154742504910672534362390528) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c -4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -8630568195952071476198966335705709884552231251719223062220866141258794069903383435950424064) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c -1903042799269285/154742504910672534362390528) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c -4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c))))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -8630568195952071476198966335705709884552231251719223062220866141258794069903383435950424064) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (if (<=.f64 c -1903042799269285/154742504910672534362390528) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (if (<=.f64 c -4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c))))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (/.f64 a c) (if (<=.f64 c -194623359739162397633881570814439654882280621190912295014389728546005643261396729724928) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (if (<=.f64 c -991528996904220863163835351040) (/.f64 a c) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 c d) d) a)) (if (<=.f64 c -2671230065510023/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (/.f64 a c) (if (<=.f64 c 8305012503508543/19342813113834066795298816) (+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 c d) d) a)) (/.f64 a c)))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (/.f64 a c) (if (<=.f64 c -2353915732253754917359444009132899156227313590919912654981267050373716486144044690141347840) (/.f64 b d) (if (<=.f64 c -991528996904220863163835351040) (/.f64 a c) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 b d) (if (<=.f64 c -8781879726948319/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (/.f64 a c) (if (<=.f64 c 4702512082893837/649037107316853453566312041152512) (/.f64 b d) (/.f64 a c)))))))
(/.f64 b d)

Outputs
(if (<=.f64 d -10949182900745738469601950734058909451140286787296101955805585789314286339715898540032) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -5338598381804003/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 d 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (/.f64 a c) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) (/.f64 c (/.f64 d c)))) (if (<=.f64 d 1232039071744011375450899505793219013316917689183846284820818480049582991074676914923945575495109697096949348058464119267716824563712) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))))))
(if (<=.f64 d -10949182900745738469601950734058909451140286787296101955805585789314286339715898540032) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -5338598381804003/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 d 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (+.f64 (/.f64 a c) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) (/.f64 c (/.f64 d c)))) (if (<=.f64 d 1232039071744011375450899505793219013316917689183846284820818480049582991074676914923945575495109697096949348058464119267716824563712) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 3823619176334395/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 c 3482515939733230993721970092121483360597399796984603268943406570788425302016) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))))))
(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c -1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 c 3823619176334395/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 c 3482515939733230993721970092121483360597399796984603268943406570788425302016) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))))))
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(if (<=.f64 c -20068511289131843287998351650301611241153375169044816480479395471727043915639054978135790737194024335645900626572110026768384) (/.f64 a c) (if (<=.f64 c -2353915732253754917359444009132899156227313590919912654981267050373716486144044690141347840) (/.f64 b d) (if (<=.f64 c -991528996904220863163835351040) (/.f64 a c) (if (<=.f64 c -7669229457681125/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 b d) (if (<=.f64 c -8781879726948319/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (/.f64 a c) (if (<=.f64 c 4702512082893837/649037107316853453566312041152512) (/.f64 b d) (/.f64 a c)))))))
(/.f64 b d)

Compiler

Compiled 1142 to 477 computations (58.2% saved)

soundness433.0ms (2.4%)

Algorithm

4×	egg-herbie

Rules

968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
528×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410

Stop Event

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

Compiler

Compiled 865 to 555 computations (35.8% saved)

end215.0ms (1.2%)

Compiler: Compiled 1090 to 259 computations (76.2% saved)