Details

analyze426.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.9s (10.9%)

Results

1.8s	8256×	body	256	valid
104.0ms	500×	body	256	infinite

Bogosity

preprocess16.0ms (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)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.6b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (.f64 a c) (.f64 b d))
✓	26.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series14.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite75.0ms (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))))))

simplify90.0ms (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))

eval57.0ms (0.3%)

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

prune32.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	119	14	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	15	134

Error

0.3b

Counts

134 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	23.8b	(.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)))
▶	35.2b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
▶	40.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	45.7b	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
	40.7b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	24.2b	(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
	26.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
▶	20.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	38.3b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	39.6b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	39.4b	(/.f64 b d)
	34.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	28.4b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	36.3b	(/.f64 a c)

Compiler

Compiled 505 to 295 computations (41.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 c d)
✓	0.2b	(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)))
✓	19.4b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series24.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	245	43
2	3129	43

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))
(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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simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

835×	`times-frac_binary64`
582×	`associate-/l*_binary64`
545×	`fma-def_binary64`
389×	`associate-/r*_binary64`
343×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	3191
1	440	3022
2	1474	2892
3	7093	2871

Stop Event

1×	node limit

Counts

331 → 253

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.0b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	196	13
2	2838	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
682×	`associate-*l/_binary64`
467×	`associate-/l/_binary64`
454×	`associate-*r/_binary64`
423×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	924
1	146	876
2	484	813
3	2537	798

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	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	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))
1.0ms	d	@	inf	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

rewrite82.0ms (0.5%)

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))))))

simplify116.0ms (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))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 d (sqrt.f64 b))
✓	0.3b	(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))
✓	12.0b	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series36.0ms (0.2%)

Counts

3 → 74

Calls

30 calls:

Time	Variable		Point	Expression
19.0ms	b	@	0	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
3.0ms	b	@	-inf	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
2.0ms	b	@	inf	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	0	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	-inf	(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

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

Outputs

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

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1226
1	140	1164
2	478	1101
3	2606	1050
4	6762	1050

Stop Event

1×	node limit

Counts

160 → 111

Calls

Call 1

Inputs
(/.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 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 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 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 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))

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

eval240.0ms (1.4%)

Compiler: Compiled 10722 to 3797 computations (64.6% saved)

prune223.0ms (1.3%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	510	24	534
Fresh	7	2	9
Picked	1	0	1
Done	2	3	5
Total	520	29	549

Error

0.2b

Counts

549 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.3b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	44.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
	44.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
	45.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
▶	39.4b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
	45.3b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
	35.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	46.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (.f64 d b) c)))
✓	40.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	52.2b	(*.f64 c (/.f64 (/.f64 a d) d))
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	20.9b	(/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))))
	47.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	53.7b	(/.f64 (*.f64 c a) (pow.f64 d 2))
	38.9b	(.f64 b (.f64 d (pow.f64 (hypot.f64 d c) -2)))
	34.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	44.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d)))) (neg.f64 (fma.f64 (/.f64 c d) a b))))
	42.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (.f64 -1 a)))
▶	39.4b	(/.f64 b d)
	41.5b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 d c) b a)))
	28.4b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	36.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
✓	36.3b	(/.f64 a c)
	53.3b	(.f64 b (/.f64 d (.f64 c c)))
	39.6b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	47.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
▶	28.6b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	48.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)

Compiler

Compiled 863 to 541 computations (37.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))))
✓	0.5b	(/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))))
✓	19.4b	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

Compiler

Compiled 61 to 12 computations (80.3% saved)

series39.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite135.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
388×	`pow-prod-down_binary64`
318×	`pow2_binary64`
245×	`prod-diff_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	246	51
2	3113	48

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

566×	`distribute-neg-frac_binary64`
561×	`times-frac_binary64`
431×	`associate-/l*_binary64`
375×	`associate-/r*_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	6670
1	1344	5834
2	6170	5780

Stop Event

1×	node limit

Counts

256 → 233

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))
✓	4.9b	(/.f64 (*.f64 b c) d)
✓	6.6b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
✓	7.1b	(/.f64 c (*.f64 d d))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series35.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
6.0ms	d	@	0	(/.f64 (*.f64 b c) d)
1.0ms	a	@	0	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
1.0ms	b	@	-inf	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
1.0ms	b	@	inf	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))

rewrite120.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`log-prod_binary64`
519×	`fma-def_binary64`
321×	`log-div_binary64`
296×	`fma-neg_binary64`
287×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	304	58
2	4923	58

Stop Event

1×	node limit

Counts

4 → 256

Calls

Call 1

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

Outputs
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simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

935×	`fma-def_binary64`
639×	`associate-/l*_binary64`
385×	`fma-neg_binary64`
380×	`associate-/r*_binary64`
372×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	2646
1	98	2607
2	235	2601
3	985	2247
4	5125	2187

Stop Event

1×	node limit

Counts

412 → 284

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.6b	(/.f64 (fma.f64 d d (*.f64 c c)) a)
✓	11.6b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series18.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
885×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	171	23
2	2396	23

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
541×	`associate-/r/_binary64`
506×	`associate-/l/_binary64`
347×	`sub-neg_binary64`
309×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	1416
1	152	1338
2	486	1284
3	2619	1260
4	6667	1260

Stop Event

1×	node limit

Counts

146 → 99

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 d c))
✓	0.0b	(hypot.f64 d c)
✓	0.0b	(/.f64 d (hypot.f64 d c))
✓	1.1b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series22.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`pow1_binary64`
913×	`add-log-exp_binary64`
913×	`log1p-expm1-u_binary64`
913×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	174	31
2	2490	31

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

855×	`associate-/r*_binary64`
459×	`fma-def_binary64`
346×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
234×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	3551
1	1162	3222
2	4642	3015

Stop Event

1×	node limit

Counts

249 → 258

Calls

Call 1

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

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

eval554.0ms (3.2%)

Compiler: Compiled 24448 to 10667 computations (56.4% saved)

prune183.0ms (1%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	943	13	956
Fresh	14	7	21
Picked	1	0	1
Done	2	5	7
Total	960	25	985

Error

0.1b

Counts

985 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 c (*.f64 d (/.f64 d a)))
	51.8b	(*.f64 (/.f64 c d) (/.f64 a d))
▶	36.3b	(/.f64 1 (/.f64 c a))
	30.0b	(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
	36.5b	(/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (.f64 c a))))
▶	50.3b	(*.f64 (/.f64 d c) (/.f64 b c))
✓	39.4b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
▶	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	39.7b	(/.f64 1 (/.f64 d b))
▶	35.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 c d) d) a))
	44.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d)))) (neg.f64 (fma.f64 (/.f64 c d) a b))))
	42.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (.f64 -1 a)))
	28.5b	(/.f64 (/.f64 b (hypot.f64 d c)) (/.f64 (hypot.f64 d c) d))
▶	28.4b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓	36.3b	(/.f64 a c)
	53.3b	(.f64 b (/.f64 d (.f64 c c)))
	39.6b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	34.6b	(/.f64 d (/.f64 (hypot.f64 d c) (/.f64 b (hypot.f64 d c))))
	47.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
	33.7b	(/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a))))
	43.2b	(/.f64 c (*.f64 c (/.f64 c a)))
✓	40.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
✓	39.4b	(/.f64 b d)
	35.1b	(-.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) (-.f64 (.f64 c (/.f64 b d)) a)) d))

Compiler

Compiled 664 to 404 computations (39.2% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (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 d c) (/.f64 b c) (/.f64 a c))

Outputs

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

simplify113.0ms (0.6%)

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 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 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 (*.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)))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (/.f64 c a))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	4
2	1611	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2247	10

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify116.0ms (0.7%)

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

82 → 48

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)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 c d) d)
✓	1.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 c d) d) a))
✓	5.3b	(*.f64 (/.f64 (/.f64 c d) d) a)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series10.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
341×	`fma-def_binary64`
313×	`pow2_binary64`
228×	`log-div_binary64`
224×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	224	31
2	3455	31

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

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

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

simplify152.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

939×	`associate-/r/_binary64`
608×	`times-frac_binary64`
569×	`associate-/l/_binary64`
465×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	1188
1	21	1188
2	39	1116
3	86	1116
4	231	1116
5	841	1116
6	3843	1116
7	4903	1116
8	5067	1116
9	5280	1116
10	5500	1116
11	5827	1116
12	7167	1116
13	7673	1116

Stop Event

1×	node limit

Counts

265 → 164

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series13.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	d	@	inf	(/.f64 1 (hypot.f64 c d))
1.0ms	c	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
1.0ms	c	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
1.0ms	d	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
1.0ms	a	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	181	14
2	2238	14

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

933×	`times-frac_binary64`
915×	`associate-/l*_binary64`
558×	`associate-/r*_binary64`
363×	`associate-*l/_binary64`
286×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	1861
1	737	1746
2	2860	1678

Stop Event

1×	node limit

Counts

107 → 119

Calls

Call 1

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

eval155.0ms (0.9%)

Compiler: Compiled 7824 to 3705 computations (52.6% saved)

prune92.0ms (0.5%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	458	11	469
Fresh	8	7	15
Picked	1	0	1
Done	2	7	9
Total	469	25	494

Error

0.1b

Counts

494 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	51.7b	(/.f64 d (/.f64 c (/.f64 b c)))
	30.9b	(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (/.f64 d (/.f64 c d))) c)) (neg.f64 a))
	59.4b	(*.f64 (/.f64 -1 d) (neg.f64 a))
	36.4b	(*.f64 (/.f64 1 c) a)
	59.5b	(/.f64 (neg.f64 a) d)
	52.2b	(/.f64 c (*.f64 d (/.f64 d a)))
	51.8b	(*.f64 (/.f64 c d) (/.f64 a d))
✓	36.3b	(/.f64 1 (/.f64 c a))
	36.5b	(/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (.f64 c a))))
✓	50.3b	(*.f64 (/.f64 d c) (/.f64 b c))
	33.7b	(/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a))))
	59.4b	(/.f64 a d)
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	58.9b	(/.f64 (neg.f64 a) c)
✓	35.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 (/.f64 c d) d) a))
	44.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d)))) (neg.f64 (fma.f64 (/.f64 c d) a b))))
✓	39.4b	(/.f64 b d)
	50.2b	(/.f64 (/.f64 b c) (/.f64 c d))
	35.1b	(-.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) (-.f64 (.f64 c (/.f64 b d)) a)) d))
	51.9b	(/.f64 b (*.f64 (/.f64 c d) c))
	28.4b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	47.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
✓	39.4b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
	34.7b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
✓	36.3b	(/.f64 a c)

Compiler

Compiled 333 to 209 computations (37.2% saved)

regimes1.7s (9.6%)

Counts

63 → 5

Calls

Call 1

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

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

Calls

5 calls:

541.0ms	a
518.0ms	b
272.0ms	c
245.0ms	d
76.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.6b	6	`a`
13.0b	7	`b`
7.1b	5	`c`
7.3b	7	`d`
9.7b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 722 to 242 computations (66.5% saved)

bsearch200.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	2.281947855931773e+159	5.611089986587088e+166
56.0ms	3.645055128503237e-140	2.7704214709727945e-129
57.0ms	-1.1958494837599435e-114	-9.814911452883738e-117
47.0ms	-4.57134307228816e+58	-2.535551796775417e+37

Compiler

Compiled 100 to 61 computations (39% saved)

regimes1.4s (8.1%)

Counts

57 → 5

Calls

Call 1

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

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

Calls

5 calls:

436.0ms	d
342.0ms	c
329.0ms	b
214.0ms	a
62.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.8b	6	`a`
13.1b	7	`b`
7.3b	5	`c`
9.1b	5	`d`
11.2b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 600 to 205 computations (65.8% saved)

bsearch116.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
57.0ms	2.281947855931773e+159	5.611089986587088e+166
15.0ms	3.645055128503237e-140	2.7704214709727945e-129
18.0ms	-1.1958494837599435e-114	-9.814911452883738e-117
25.0ms	-4.57134307228816e+58	-2.535551796775417e+37

Compiler

Compiled 100 to 61 computations (39% saved)

regimes2.2s (12.8%)

Counts

56 → 5

Calls

Call 1

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

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

Calls

5 calls:

735.0ms	a
557.0ms	d
440.0ms	b
371.0ms	c
118.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.0b	10	`a`
15.5b	10	`b`
8.3b	5	`c`
9.7b	6	`d`
12.4b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 584 to 201 computations (65.6% saved)

bsearch347.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
81.0ms	7.2010048922993756e+81	4.972052639011773e+90
28.0ms	3.645055128503237e-140	2.7704214709727945e-129
47.0ms	-1.1958494837599435e-114	-9.814911452883738e-117
190.0ms	-4.57134307228816e+58	-2.535551796775417e+37

Compiler

Compiled 98 to 61 computations (37.8% saved)

regimes1.4s (7.8%)

Counts

49 → 5

Calls

Call 1

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

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

Calls

5 calls:

514.0ms	b
283.0ms	a
254.0ms	d
181.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
119.0ms	c

Results

Error	Segments	Branch
13.4b	8	`a`
12.6b	15	`b`
8.5b	5	`c`
9.7b	6	`d`
12.4b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 494 to 171 computations (65.4% saved)

bsearch159.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	5.346374350427911e+74	7.2010048922993756e+81
30.0ms	3.645055128503237e-140	2.7704214709727945e-129
43.0ms	-1.1958494837599435e-114	-9.814911452883738e-117
44.0ms	-4.57134307228816e+58	-2.535551796775417e+37

Compiler

Compiled 98 to 61 computations (37.8% saved)

regimes705.0ms (4%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

4 calls:

313.0ms	b
233.0ms	a
83.0ms	c
64.0ms	d

Results

Error	Segments	Branch
19.0b	8	`a`
20.0b	8	`b`
13.6b	3	`c`
13.0b	3	`d`

Compiler

Compiled 243 to 84 computations (65.4% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.917726867369815e+76	2.8799572103187346e+88
23.0ms	-1.8151233042098852e-55	-3.295528281849193e-60

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes360.0ms (2.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

140.0ms	b
126.0ms	a
53.0ms	c
34.0ms	d

Results

Error	Segments	Branch
18.9b	10	`a`
21.0b	11	`b`
13.6b	3	`c`
13.0b	3	`d`

Compiler

Compiled 172 to 68 computations (60.5% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.917726867369815e+76	2.8799572103187346e+88
23.0ms	-1.8151233042098852e-55	-3.295528281849193e-60

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes217.0ms (1.2%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

4 calls:

66.0ms	d
65.0ms	a
48.0ms	b
32.0ms	c

Results

Error	Segments	Branch
22.8b	7	`a`
25.4b	5	`b`
15.5b	3	`c`
15.1b	5	`d`

Compiler

Compiled 139 to 59 computations (57.6% saved)

bsearch97.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	1.917726867369815e+76	2.8799572103187346e+88
28.0ms	-925777994571.0144	-0.014506362307116225
22.0ms	-1.4308316382960976e+60	-2.8568805575371713e+54
23.0ms	-7.558892591188873e+161	-1.3570633466697505e+138

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes227.0ms (1.3%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	a
61.0ms	b
45.0ms	d
36.0ms	c

Results

Error	Segments	Branch
26.3b	9	`a`
30.3b	7	`b`
21.3b	3	`c`
20.4b	5	`d`

Compiler

Compiled 128 to 58 computations (54.7% saved)

bsearch92.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	1.917726867369815e+76	2.8799572103187346e+88
24.0ms	-1.8151233042098852e-55	-3.295528281849193e-60
22.0ms	-9.781394454418386e+74	-1.2067548698900136e+74
23.0ms	-7.145997256351953e+173	-2.8720470413284144e+164

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes166.0ms (0.9%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	a
36.0ms	d
34.0ms	b
30.0ms	c

Results

Error	Segments	Branch
26.3b	9	`a`
31.5b	5	`b`
21.3b	3	`c`
20.8b	5	`d`

Compiler

Compiled 86 to 45 computations (47.7% saved)

bsearch90.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	1.917726867369815e+76	2.8799572103187346e+88
23.0ms	-1.8151233042098852e-55	-3.295528281849193e-60
23.0ms	-1.0363538935864317e+67	-1.4308316382960976e+60
23.0ms	-3.395567488801678e+109	-2.0224703032672775e+102

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes240.0ms (1.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 1 (/.f64 c a))

Calls

4 calls:

111.0ms	a
61.0ms	b
44.0ms	c
19.0ms	d

Results

Error	Segments	Branch
26.6b	9	`a`
31.5b	5	`b`
21.3b	3	`c`
21.9b	3	`d`

Compiler

Compiled 72 to 41 computations (43.1% saved)

bsearch78.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	26419729.609084405	123234443.89614435
40.0ms	-1.4263770608205756e-28	-7.404058898663047e-29

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes182.0ms (1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

66.0ms	a
47.0ms	b
38.0ms	c
28.0ms	d

Results

Error	Segments	Branch
27.6b	7	`a`
31.5b	5	`b`
21.5b	3	`c`
21.9b	3	`d`

Compiler

Compiled 49 to 29 computations (40.8% saved)

bsearch78.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.0595451483748359e-11	2.913547517772928e-10
39.0ms	-1.4263770608205756e-28	-7.404058898663047e-29

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes33.0ms (0.2%)

Accuracy

Total -20.4b remaining (-51.8%)

Threshold costs -20.4b (-51.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 b d)

Calls

4 calls:

8.0ms	b
8.0ms	c
8.0ms	a
8.0ms	d

Results

Error	Segments	Branch
39.4b	1	`a`
39.4b	1	`b`
39.4b	1	`c`
39.4b	1	`d`

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
5×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	818
1	129	818

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 2281947855931773020679135407381633784856675179473215277484899169938498832378318701143689193203964107001379944491890998796769553674534377366916045215097423921152) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 2281947855931773020679135407381633784856675179473215277484899169938498832378318701143689193203964107001379944491890998796769553674534377366916045215097423921152) (/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 7201004892299375565381977546849869117211906225415769606056769106617479280359112704) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 534637435042791058615639527947846750668696742615554202474919618078543183872) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))))
(if (<=.f64 d -755889259118887259716329339914921517630498367364432181695104253419069489395905959077274168632892636302576054975147243838595107785805281937500144622611004127182848) (/.f64 b d) (if (<=.f64 d -1430831638296097645807210602390071402577189970050000439214080) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d -3791986665762875/4096) (/.f64 b d) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d)))))
(if (<=.f64 d -714599725635195273592544080499970426936415956243513238844368814490705193441211820264192233759147070320997750486085013585178108278726295909450867797105746247205320321820262400) (/.f64 b d) (if (<=.f64 d -978139445441838592826463827959898329668808395360392171874206947558637436928) (/.f64 c (*.f64 d (/.f64 d a))) (if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (/.f64 b d) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -33955674888016777940395172804218742380817298634019775246402750163144782749327076546042607044879266186467999744) (/.f64 b d) (if (<=.f64 d -10363538935864316627970361675009743688614982412896450685992941125632) (/.f64 (/.f64 b c) (/.f64 c d)) (if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (/.f64 b d) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 c -6361854278077735/44601490397061246283071436545296723011960832) (/.f64 a c) (if (<=.f64 c 3545996082505637/134217728) (/.f64 b d) (/.f64 1 (/.f64 c a))))
(if (<=.f64 c -6361854278077735/44601490397061246283071436545296723011960832) (/.f64 a c) (if (<=.f64 c 1639566703254723/154742504910672534362390528) (/.f64 b d) (/.f64 a c)))
(/.f64 b d)
(/.f64 a d)

Outputs
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 2281947855931773020679135407381633784856675179473215277484899169938498832378318701143689193203964107001379944491890998796769553674534377366916045215097423921152) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d)) (if (<=.f64 c 2281947855931773020679135407381633784856675179473215277484899169938498832378318701143689193203964107001379944491890998796769553674534377366916045215097423921152) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 2281947855931773020679135407381633784856675179473215277484899169938498832378318701143689193203964107001379944491890998796769553674534377366916045215097423921152) (/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d)) (if (<=.f64 c 2281947855931773020679135407381633784856675179473215277484899169938498832378318701143689193203964107001379944491890998796769553674534377366916045215097423921152) (/.f64 1 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 7201004892299375565381977546849869117211906225415769606056769106617479280359112704) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d)) (if (<=.f64 c 7201004892299375565381977546849869117211906225415769606056769106617479280359112704) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 534637435042791058615639527947846750668696742615554202474919618078543183872) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -45713430722881600024517523777664270551243033879535853502464) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d)) (if (<=.f64 c 534637435042791058615639527947846750668696742615554202474919618078543183872) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d)) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))))
(if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d)) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a (/.f64 c d)) d))))
(if (<=.f64 d -755889259118887259716329339914921517630498367364432181695104253419069489395905959077274168632892636302576054975147243838595107785805281937500144622611004127182848) (/.f64 b d) (if (<=.f64 d -1430831638296097645807210602390071402577189970050000439214080) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d -3791986665762875/4096) (/.f64 b d) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d)))))
(if (<=.f64 d -714599725635195273592544080499970426936415956243513238844368814490705193441211820264192233759147070320997750486085013585178108278726295909450867797105746247205320321820262400) (/.f64 b d) (if (<=.f64 d -978139445441838592826463827959898329668808395360392171874206947558637436928) (/.f64 c (*.f64 d (/.f64 d a))) (if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (/.f64 b d) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -33955674888016777940395172804218742380817298634019775246402750163144782749327076546042607044879266186467999744) (/.f64 b d) (if (<=.f64 d -10363538935864316627970361675009743688614982412896450685992941125632) (/.f64 (/.f64 b c) (/.f64 c d)) (if (<=.f64 d -5011008253521997/27606985387162255149739023449108101809804435888681546220650096895197184) (/.f64 b d) (if (<=.f64 d 19177268673698149771707718441020695717190799869687665523664172283906958032896) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 c -6361854278077735/44601490397061246283071436545296723011960832) (/.f64 a c) (if (<=.f64 c 3545996082505637/134217728) (/.f64 b d) (/.f64 1 (/.f64 c a))))
(if (<=.f64 c -6361854278077735/44601490397061246283071436545296723011960832) (/.f64 a c) (if (<=.f64 c 1639566703254723/154742504910672534362390528) (/.f64 b d) (/.f64 a c)))
(/.f64 b d)
(/.f64 a d)

Compiler

Compiled 616 to 294 computations (52.3% saved)

soundness304.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

835×	`times-frac_binary64`
835×	`times-frac_binary64`
582×	`associate-/l*_binary64`
582×	`associate-/l*_binary64`
566×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	3191
1	440	3022
2	1474	2892
3	7093	2871
0	342	6670
1	1344	5834
2	6170	5780
0	140	3191
1	440	3022
2	1474	2892
3	7093	2871

Stop Event

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

Compiler

Compiled 192 to 121 computations (37% saved)

end124.0ms (0.7%)

Compiler: Compiled 568 to 164 computations (71.1% saved)