Details

analyze415.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
9.7%	90.1%	0.2%	12

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.1s (9.4%)

Results

1.0s	8256×	body	256	valid
62.0ms	524×	body	256	invalid

preprocess21.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.6b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(+.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)))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

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

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

simplify82.0ms (0.7%)

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)))))
(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)))
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(/.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))

eval31.0ms (0.3%)

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

prune33.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	120	13	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	14	134

Error

0.1b

Counts

134 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	38.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	34.2b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
▶	26.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	38.0b	(.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)))
	40.0b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	39.1b	(/.f64 b d)
▶	40.3b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	41.8b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
	29.6b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	35.1b	(/.f64 a c)
▶	18.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	39.4b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
▶	34.6b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

Compiler

Compiled 477 to 277 computations (41.9% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	17.1b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series20.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	245	39
2	3129	39

Stop Event

1×	node limit

Counts

3 → 132

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))

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

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

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

652×	`times-frac_binary64`
430×	`associate-/l*_binary64`
337×	`div-sub_binary64`
331×	`fma-def_binary64`
300×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	2724
1	285	2560
2	1008	2438
3	5167	2346
4	7607	2346

Stop Event

1×	node limit

Counts

276 → 192

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))

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

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
✓	17.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0.1%)

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	d	@	inf	(/.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	c	@	inf	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite56.0ms (0.5%)

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

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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))))))

simplify49.0ms (0.4%)

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)))))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(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
3.0ms	d	@	inf	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
1.0ms	c	@	0	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
1.0ms	d	@	-inf	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
1.0ms	b	@	0	(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))

rewrite57.0ms (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))))))

simplify115.0ms (1%)

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))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 c d) 2)
	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
✓	25.8b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series14.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Outputs

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

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

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-def_binary64`
537×	`associate-/r*_binary64`
531×	`associate-l_binary64`
531×	`associate-/l*_binary64`
503×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2524
1	576	2160
2	2276	2001

Stop Event

1×	node limit

Counts

218 → 176

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 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))))) (+.f64 (.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6))))) (pow.f64 c 8))) (/.f64 1 (pow.f64 c 2)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))))) (+.f64 (.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6))))) (pow.f64 c 8))) (/.f64 1 (pow.f64 c 2)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 (pow.f64 c 8) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 (pow.f64 d 8) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 d 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 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a)) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a)) (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3)))) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d 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 (.f64 (.f64 d d) a) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (*.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) a))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 (.f64 d d) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (+.f64 (/.f64 a c) (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))) (*.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) a))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d 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 (.f64 (.f64 d d) a) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (*.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) a))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 (.f64 d d) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (+.f64 (/.f64 a c) (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))) (*.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
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(-.f64 (-.f64 (-.f64 (/.f64 1 (.f64 c c)) (/.f64 (.f64 (neg.f64 (pow.f64 d 4)) (neg.f64 (*.f64 d d))) (pow.f64 c 8))) (/.f64 d (/.f64 (pow.f64 c 4) d))) (/.f64 (neg.f64 (pow.f64 d 4)) (pow.f64 c 6)))
(+.f64 (-.f64 (/.f64 1 (*.f64 c c)) (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 6)) (/.f64 d (/.f64 (pow.f64 c 4) d))))
(/.f64 1 (pow.f64 d 2))
(/.f64 1 (*.f64 d d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (/.f64 1 (.f64 d d)))
(-.f64 (/.f64 1 (.f64 d d)) (/.f64 (.f64 c c) (pow.f64 d 4)))
(-.f64 (/.f64 1 (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 4) c)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (/.f64 1 (.f64 d d))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(+.f64 (-.f64 (/.f64 1 (.f64 d d)) (/.f64 (.f64 c c) (pow.f64 d 4))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(+.f64 (/.f64 1 (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 6)) (/.f64 c (/.f64 (pow.f64 d 4) c))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8)) (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (/.f64 (.f64 c c) (pow.f64 d 4)))
(+.f64 (-.f64 (/.f64 1 (*.f64 d d)) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 6)) (/.f64 c (/.f64 (pow.f64 d 4) c))))
(/.f64 1 (pow.f64 d 2))
(/.f64 1 (*.f64 d d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (/.f64 1 (.f64 d d)))
(-.f64 (/.f64 1 (.f64 d d)) (/.f64 (.f64 c c) (pow.f64 d 4)))
(-.f64 (/.f64 1 (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 4) c)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (/.f64 1 (.f64 d d))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(+.f64 (-.f64 (/.f64 1 (.f64 d d)) (/.f64 (.f64 c c) (pow.f64 d 4))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(+.f64 (/.f64 1 (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 6)) (/.f64 c (/.f64 (pow.f64 d 4) c))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8)) (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (/.f64 (.f64 c c) (pow.f64 d 4)))
(+.f64 (-.f64 (/.f64 1 (*.f64 d d)) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 6)) (/.f64 c (/.f64 (pow.f64 d 4) c))))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 (pow.f64 c 8) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) (/.f64 1/64 (pow.f64 d 6)))) (+.f64 (.f64 d d) (.f64 c c)))
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/64 (pow.f64 d 6)) (-.f64 (/.f64 1/16 (pow.f64 d 6)) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)))) (fma.f64 d d (*.f64 c c)))
(fma.f64 (pow.f64 c 8) (-.f64 (.f64 (/.f64 1 (pow.f64 d 6)) 5/64) (.f64 (/.f64 1 (pow.f64 d 6)) 5/64)) (fma.f64 d d (*.f64 c c)))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 (pow.f64 d 8) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(fma.f64 (pow.f64 d 8) (+.f64 (/.f64 1/64 (pow.f64 c 6)) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (/.f64 1/16 (pow.f64 c 6))) (/.f64 1/16 (pow.f64 c 6)))) (+.f64 (.f64 d d) (.f64 c c)))
(fma.f64 (pow.f64 d 8) (+.f64 (/.f64 1/64 (pow.f64 c 6)) (-.f64 (/.f64 1/16 (pow.f64 c 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (/.f64 1/16 (pow.f64 c 6))))) (fma.f64 d d (*.f64 c c)))
(fma.f64 (pow.f64 d 8) (-.f64 (.f64 (/.f64 1 (pow.f64 c 6)) 5/64) (.f64 (/.f64 1 (pow.f64 c 6)) 5/64)) (fma.f64 d d (*.f64 c c)))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (.f64 d d) (+.f64 (.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (fma.f64 c c (*.f64 (/.f64 -1/8 (pow.f64 d 4)) (pow.f64 c 6)))))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (.f64 d d) (+.f64 (.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (fma.f64 c c (*.f64 (/.f64 -1/8 (pow.f64 d 4)) (pow.f64 c 6)))))

eval159.0ms (1.4%)

Compiler: Compiled 9814 to 3857 computations (60.7% saved)

prune139.0ms (1.2%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	490	21	511
Fresh	5	3	8
Picked	1	0	1
Done	2	3	5
Total	498	27	525

Error

0.0b

Counts

525 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	34.2b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	29.6b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	44.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
▶	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	34.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
✓	35.1b	(/.f64 a c)
	46.6b	(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
	42.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (*.f64 c c)))
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	44.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 d (-.f64 (/.f64 (*.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a))
	34.6b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	51.8b	(*.f64 c (/.f64 (/.f64 a d) d))
	46.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
	18.4b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	54.6b	(/.f64 (*.f64 c a) (pow.f64 d 2))
▶	46.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
	18.4b	(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
	45.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (.f64 -1 a)))
	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	40.0b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	39.1b	(/.f64 b d)
▶	18.2b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
✓	40.3b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	53.7b	(.f64 b (/.f64 d (.f64 c c)))
	46.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
	46.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (fma.f64 (/.f64 c d) a b)))))

Compiler

Compiled 875 to 529 computations (39.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	0.3b	(fma.f64 a c (*.f64 b d))
	17.1b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1308
1	137	1206
2	472	1125
3	2598	1074
4	6729	1074

Stop Event

1×	node limit

Counts

98 → 70

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)))))

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
642×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	158	7
2	1848	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac_binary64`
599×	`associate-/l*_binary64`
376×	`associate-+l+_binary64`
375×	`associate-/r*_binary64`
311×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1146
1	489	1074
2	2009	1020
3	7839	1014

Stop Event

1×	node limit

Counts

60 → 62

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (*.f64 c a) d)
✓	7.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`log-prod_binary64`
347×	`pow2_binary64`
297×	`fma-def_binary64`
245×	`pow1/3_binary64`
234×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	262	23
2	3905	21

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

544×	`distribute-rgt-neg-in_binary64`
544×	`fma-neg_binary64`
522×	`associate-/r/_binary64`
491×	`associate-/l/_binary64`
449×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1434
1	205	1107
2	665	1050
3	2940	1008
4	6131	1008

Stop Event

1×	node limit

Counts

180 → 168

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (.f64 b d) (.f64 a c))
✓	3.4b	(-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2))
✓	26.0b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
✓	36.0b	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series46.0ms (0.4%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
12.0ms	d	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
7.0ms	d	@	0	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
1.0ms	c	@	inf	(-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2))
1.0ms	b	@	0	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
1.0ms	a	@	0	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`fma-neg_binary64`
345×	`expm1-udef_binary64`
345×	`log1p-udef_binary64`
208×	`add-sqr-sqrt_binary64`
207×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	405	51
2	6151	51

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

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

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

519×	`times-frac_binary64`
447×	`associate-l_binary64`
412×	`fma-def_binary64`
404×	`associate-r_binary64`
376×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	3042
1	259	2886
2	1031	2730
3	5971	2727

Stop Event

1×	node limit

Counts

436 → 280

Calls

Call 1

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

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

eval257.0ms (2.2%)

Compiler: Compiled 17191 to 5844 computations (66% saved)

prune185.0ms (1.6%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	683	17	700
Fresh	7	12	19
Picked	1	0	1
Done	3	4	7
Total	694	33	727

Error

Counts

727 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	40.0b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	43.1b	(/.f64 1 (/.f64 (hypot.f64 c d) a))
	34.8b	(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
✓	39.1b	(/.f64 b d)
	47.3b	(/.f64 (/.f64 (.f64 d (.f64 b (.f64 d b))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d)))
	57.3b	(/.f64 (neg.f64 b) d)
	38.8b	(/.f64 (/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	46.6b	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (hypot.f64 c d))
	53.7b	(.f64 b (/.f64 d (.f64 c c)))
	46.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (expm1.f64 (log1p.f64 (.f64 (/.f64 c d) a)))))
	45.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)) (hypot.f64 c d))
	57.4b	(/.f64 (neg.f64 a) c)
▶	44.9b	(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))
	61.0b	(-.f64 (neg.f64 (/.f64 a d)) (/.f64 b c))
	46.8b	(/.f64 (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (.f64 (*.f64 (/.f64 c d) (/.f64 c d)) (fma.f64 (/.f64 c d) a b)))) (hypot.f64 c d))
✓	35.1b	(/.f64 a c)
	46.6b	(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
	58.0b	(/.f64 (neg.f64 a) d)
	42.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (*.f64 c c)))
	42.9b	(/.f64 a (hypot.f64 c d))
✓	26.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	29.6b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	58.1b	(/.f64 a d)
▶	34.6b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	18.4b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	46.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
	51.8b	(*.f64 c (/.f64 (/.f64 a d) d))
	18.4b	(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
▶	54.6b	(/.f64 (*.f64 c a) (pow.f64 d 2))
✓	40.3b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	34.2b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	46.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)

Compiler

Compiled 992 to 600 computations (39.5% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.6b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
✓	17.0b	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series15.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
323×	`pow2_binary64`
281×	`prod-diff_binary64`
229×	`pow1/3_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	252	31
2	3376	31

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

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(hypot.f64 c d) -2) (*.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2) (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) -2)))))))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

583×	`cancel-sign-sub-inv_binary64`
484×	`associate-/r/_binary64`
364×	`distribute-rgt-neg-in_binary64`
359×	`associate-/l/_binary64`
337×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	4069
1	754	3422
2	3533	3216

Stop Event

1×	node limit

Counts

187 → 161

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(*.f64 (/.f64 c d) (/.f64 a d))
✓	4.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series19.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
1.0ms	a	@	inf	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
1.0ms	b	@	0	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
1.0ms	c	@	inf	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
0.0ms	c	@	0	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

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

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

230 → 151

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.6b	(/.f64 (*.f64 c a) (pow.f64 d 2))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	c	@	-inf	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	a	@	-inf	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	a	@	0	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	c	@	inf	(/.f64 (*.f64 c a) (pow.f64 d 2))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary64`
785×	`add-log-exp_binary64`
785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
767×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	10
2	2132	10

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (/.f64 (*.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))
✓	2.6b	(.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c)))
✓	6.1b	(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))
✓	7.0b	(/.f64 (*.f64 a 1/2) (/.f64 c (/.f64 d c)))

Compiler

Compiled 101 to 36 computations (64.4% saved)

series33.0ms (0.3%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	d	@	0	(/.f64 (*.f64 a 1/2) (/.f64 c (/.f64 d c)))
1.0ms	b	@	0	(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))
1.0ms	a	@	inf	(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))
1.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))

rewrite135.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`fma-neg_binary64`
361×	`expm1-udef_binary64`
361×	`log1p-udef_binary64`
203×	`add-sqr-sqrt_binary64`
201×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	382	85
2	6388	85

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

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

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

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

539×	`times-frac_binary64`
479×	`fma-def_binary64`
386×	`associate-/l*_binary64`
331×	`distribute-neg-frac_binary64`
327×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	4237
1	361	3861
2	1245	3803
3	6019	3803

Stop Event

1×	node limit

Counts

408 → 280

Calls

Call 1

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

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

eval211.0ms (1.8%)

Compiler: Compiled 16115 to 6374 computations (60.4% saved)

prune139.0ms (1.2%)

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	657	10	667
Fresh	8	16	24
Picked	1	0	1
Done	4	4	8
Total	670	30	700

Error

Counts

700 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(/.f64 1 (/.f64 (hypot.f64 c d) a))
	54.0b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 d (-.f64 (/.f64 (.f64 (.f64 a 1/2) (/.f64 d c)) c) (/.f64 b c)) (neg.f64 a)) (hypot.f64 c d))) 2)
	40.0b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	34.8b	(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
	52.1b	(*.f64 (/.f64 c d) (/.f64 a d))
✓	39.1b	(/.f64 b d)
	47.3b	(/.f64 (/.f64 (.f64 d (.f64 b (.f64 d b))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d)))
	57.3b	(/.f64 (neg.f64 b) d)
	38.8b	(/.f64 (/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	53.7b	(.f64 b (/.f64 d (.f64 c c)))
	57.4b	(/.f64 (neg.f64 a) c)
	61.0b	(-.f64 (neg.f64 (/.f64 a d)) (/.f64 b c))
	44.1b	(/.f64 (-.f64 (*.f64 (/.f64 d c) (neg.f64 b)) a) (hypot.f64 c d))
	46.8b	(/.f64 (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (.f64 (*.f64 (/.f64 c d) (/.f64 c d)) (fma.f64 (/.f64 c d) a b)))) (hypot.f64 c d))
✓	35.1b	(/.f64 a c)
	58.0b	(/.f64 (neg.f64 a) d)
	42.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (*.f64 c c)))
	42.9b	(/.f64 a (hypot.f64 c d))
	55.0b	(.f64 (/.f64 c (.f64 d d)) a)
	46.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
	51.8b	(*.f64 c (/.f64 (/.f64 a d) d))
	34.6b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
	34.9b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (*.f64 c a)))
	35.1b	(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
	54.6b	(neg.f64 (/.f64 (.f64 c a) (.f64 d (neg.f64 d))))
	29.6b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
✓	40.3b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	46.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (expm1.f64 (log1p.f64 (.f64 (/.f64 c d) a)))))
✓	58.1b	(/.f64 a d)
	53.5b	(.f64 (/.f64 1 d) (/.f64 (.f64 c a) d))

Compiler

Compiled 442 to 271 computations (38.7% saved)

regimes927.0ms (8%)

Counts

62 → 5

Calls

Call 1

Inputs
(/.f64 a d)
(/.f64 b d)
(/.f64 b d)
(/.f64 a c)
(/.f64 (neg.f64 b) d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 (/.f64 c (.f64 d d)) a)
(*.f64 c (/.f64 (/.f64 a d) d))
(.f64 b (/.f64 d (.f64 c c)))
(-.f64 (neg.f64 (/.f64 a d)) (/.f64 b c))
(neg.f64 (/.f64 (.f64 c a) (.f64 d (neg.f64 d))))
(.f64 (/.f64 1 d) (/.f64 (.f64 c a) d))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(/.f64 (/.f64 (.f64 d (.f64 b (.f64 d b))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 1 (/.f64 (hypot.f64 c d) a))
(*.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))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (hypot.f64 c d))
(/.f64 (-.f64 (*.f64 (/.f64 d c) (neg.f64 b)) a) (hypot.f64 c d))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (*.f64 c c)))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (.f64 -1 a)))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
(/.f64 (-.f64 (.f64 d (-.f64 (/.f64 (.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 d (-.f64 (/.f64 (*.f64 a 1/2) (/.f64 c (/.f64 d c))) (/.f64 b c))) a))
(/.f64 (/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (*.f64 c a)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (expm1.f64 (log1p.f64 (.f64 (/.f64 c d) a)))))
(/.f64 (/.f64 1 (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 (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (.f64 (*.f64 (/.f64 c d) (/.f64 c d)) (fma.f64 (/.f64 c d) a b)))) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (fma.f64 (/.f64 c d) a b)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 d (-.f64 (/.f64 (.f64 (.f64 a 1/2) (/.f64 d c)) c) (/.f64 b c)) (neg.f64 a)) (hypot.f64 c d))) 2)
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(.f64 (/.f64 (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)))

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

Calls

5 calls:

241.0ms	d
222.0ms	b
215.0ms	c
117.0ms	a
101.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
13.8b	3	`a`
12.9b	6	`b`
8.5b	5	`c`
8.8b	5	`d`
8.9b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 833 to 254 computations (69.5% saved)

bsearch76.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	6.525239025109652e+54	1.4922823775978732e+76
7.0ms	5.690598775225354e-246	9.044974612045328e-239
25.0ms	-8.271532338194581e-74	-3.270146770431792e-84
22.0ms	-2.7673013263796686e+116	-3.6249063729018886e+114

Compiler

Compiled 61 to 37 computations (39.3% saved)

regimes981.0ms (8.5%)

Counts

51 → 5

Calls

Call 1

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

296.0ms	a
281.0ms	b
159.0ms	d
146.0ms	c
80.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
18.7b	7	`a`
16.0b	9	`b`
10.1b	5	`c`
11.6b	4	`d`
11.8b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 620 to 198 computations (68.1% saved)

bsearch123.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
52.0ms	6.525239025109652e+54	1.4922823775978732e+76
13.0ms	3.633691885043014e-141	1.0811114581032794e-136
32.0ms	-8.271532338194581e-74	-3.270146770431792e-84
26.0ms	-2.7673013263796686e+116	-3.6249063729018886e+114

Compiler

Compiled 62 to 39 computations (37.1% saved)

regimes424.0ms (3.7%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

143.0ms	a
132.0ms	b
105.0ms	c
39.0ms	d

Results

Error	Segments	Branch
19.9b	9	`a`
18.4b	12	`b`
13.7b	7	`c`
13.2b	3	`d`

Compiler

Compiled 168 to 64 computations (61.9% saved)

bsearch87.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.224898047879664e+33	8.857364041365237e+49
48.0ms	-1307311938.091909	-0.00011676520850223052

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes844.0ms (7.3%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

4 calls:

314.0ms	b
259.0ms	a
200.0ms	c
64.0ms	d

Results

Error	Segments	Branch
23.9b	9	`a`
23.0b	10	`b`
17.3b	7	`c`
18.5b	3	`d`

Compiler

Compiled 124 to 56 computations (54.8% saved)

bsearch836.0ms (7.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
56.0ms	6.634909662165788e+188	3.1304275570736003e+192
53.0ms	6.060970290553637e+134	9.690496349773282e+134
48.0ms	168042824510737.88	463208271735788300.0
29.0ms	8.106500627277879e-76	1.3526525774520629e-70
427.0ms	2.8486287909687125e-124	2.4169786668585108e-117
222.0ms	-4.7413158013113923e+42	-6.619665321226951e+40

Compiler

Compiled 242 to 161 computations (33.5% saved)

regimes435.0ms (3.8%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

4 calls:

166.0ms	c
144.0ms	a
87.0ms	b
34.0ms	d

Results

Error	Segments	Branch
24.2b	9	`a`
23.0b	10	`b`
17.4b	7	`c`
18.7b	3	`d`

Compiler

Compiled 113 to 53 computations (53.1% saved)

bsearch622.0ms (5.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
170.0ms	6.634909662165788e+188	3.1304275570736003e+192
22.0ms	6.060970290553637e+134	9.690496349773282e+134
48.0ms	168042824510737.88	463208271735788300.0
170.0ms	8.106500627277879e-76	1.3526525774520629e-70
188.0ms	2.8486287909687125e-124	2.4169786668585108e-117
23.0ms	-4.7413158013113923e+42	-6.619665321226951e+40

Compiler

Compiled 242 to 161 computations (33.5% saved)

regimes532.0ms (4.6%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

4 calls:

205.0ms	c
130.0ms	a
124.0ms	b
69.0ms	d

Results

Error	Segments	Branch
26.8b	7	`a`
23.9b	12	`b`
21.4b	5	`c`
20.4b	5	`d`

Compiler

Compiled 102 to 50 computations (51% saved)

bsearch143.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	1.5129465991589888e+142	2.1737863376857296e+144
25.0ms	2.683623825811258e+89	8.318336298950887e+91
36.0ms	1.224898047879664e+33	8.857364041365237e+49
58.0ms	-1307311938.091909	-0.00011676520850223052

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes51.0ms (0.4%)

Accuracy

Total -20.0b remaining (-51.2%)

Threshold costs -20.0b (-51.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 b d)

Calls

4 calls:

4.0ms	c
4.0ms	b
4.0ms	a
4.0ms	d

Results

Error	Segments	Branch
39.1b	1	`a`
39.1b	1	`b`
39.1b	1	`c`
39.1b	1	`d`

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	540
1	91	540

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -276730132637966858140998059932250894625643861353882118289678740523983360594029087124625021436489821047222368445923328) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2632720148799449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6525239025109651835538160207052603787910062478874116096) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -276730132637966858140998059932250894625643861353882118289678740523983360594029087124625021436489821047222368445923328) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2632720148799449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6525239025109651835538160207052603787910062478874116096) (/.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 -2741631845593323/2097152) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 d 1224898047879664017863035511111680) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))))
(if (<=.f64 c -4741315801311392316058890844309429369700352) (/.f64 a c) (if (<=.f64 c 3453472441069175/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6605293367977247/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 a c) (if (<=.f64 c 1344342596085903/8) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 606097029055363685842411430882731711234453011982013435432791769501191861929639940178597588088495349515476661128477110370880724181975040) (/.f64 a c) (if (<=.f64 c 663490966216578837082818841643612270071561561511952616954887432521639813451271683219298377025477295915754198335564692788034801111564188853238484930378005754795292514973307269684571991441408) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (/.f64 a c)))))))
(if (<=.f64 c -4741315801311392316058890844309429369700352) (/.f64 a c) (if (<=.f64 c 3453472441069175/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 6605293367977247/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 a c) (if (<=.f64 c 1344342596085903/8) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 606097029055363685842411430882731711234453011982013435432791769501191861929639940178597588088495349515476661128477110370880724181975040) (/.f64 a c) (if (<=.f64 c 663490966216578837082818841643612270071561561511952616954887432521639813451271683219298377025477295915754198335564692788034801111564188853238484930378005754795292514973307269684571991441408) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (/.f64 a c)))))))
(if (<=.f64 d -2741631845593323/2097152) (/.f64 b d) (if (<=.f64 d 1224898047879664017863035511111680) (/.f64 a c) (if (<=.f64 d 268362382581125799403684373247127105333907184749815562216906665870595155106532192356925440) (/.f64 b d) (if (<=.f64 d 15129465991589887944677390862250395006164552638395127641710050202164863739115620400773206805026415720292448635537570632303385084323945393422336) (/.f64 a c) (/.f64 b d)))))
(/.f64 b d)
(/.f64 a d)

Outputs
(if (<=.f64 c -276730132637966858140998059932250894625643861353882118289678740523983360594029087124625021436489821047222368445923328) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2632720148799449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6525239025109651835538160207052603787910062478874116096) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -276730132637966858140998059932250894625643861353882118289678740523983360594029087124625021436489821047222368445923328) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2632720148799449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6525239025109651835538160207052603787910062478874116096) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -276730132637966858140998059932250894625643861353882118289678740523983360594029087124625021436489821047222368445923328) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2632720148799449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6525239025109651835538160207052603787910062478874116096) (/.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 -276730132637966858140998059932250894625643861353882118289678740523983360594029087124625021436489821047222368445923328) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2632720148799449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6525239025109651835538160207052603787910062478874116096) (/.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 -2741631845593323/2097152) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 d 1224898047879664017863035511111680) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))))
(if (<=.f64 c -4741315801311392316058890844309429369700352) (/.f64 a c) (if (<=.f64 c 3453472441069175/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 c 6605293367977247/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 a c) (if (<=.f64 c 1344342596085903/8) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 606097029055363685842411430882731711234453011982013435432791769501191861929639940178597588088495349515476661128477110370880724181975040) (/.f64 a c) (if (<=.f64 c 663490966216578837082818841643612270071561561511952616954887432521639813451271683219298377025477295915754198335564692788034801111564188853238484930378005754795292514973307269684571991441408) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (/.f64 a c)))))))
(if (<=.f64 c -4741315801311392316058890844309429369700352) (/.f64 a c) (if (<=.f64 c 3453472441069175/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 6605293367977247/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 a c) (if (<=.f64 c 1344342596085903/8) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 606097029055363685842411430882731711234453011982013435432791769501191861929639940178597588088495349515476661128477110370880724181975040) (/.f64 a c) (if (<=.f64 c 663490966216578837082818841643612270071561561511952616954887432521639813451271683219298377025477295915754198335564692788034801111564188853238484930378005754795292514973307269684571991441408) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (/.f64 a c)))))))
(if (<=.f64 d -2741631845593323/2097152) (/.f64 b d) (if (<=.f64 d 1224898047879664017863035511111680) (/.f64 a c) (if (<=.f64 d 268362382581125799403684373247127105333907184749815562216906665870595155106532192356925440) (/.f64 b d) (if (<=.f64 d 15129465991589887944677390862250395006164552638395127641710050202164863739115620400773206805026415720292448635537570632303385084323945393422336) (/.f64 a c) (/.f64 b d)))))
(/.f64 b d)
(/.f64 a d)

Compiler

Compiled 404 to 176 computations (56.4% saved)

soundness161.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

968×	`fma-neg_binary64`
583×	`cancel-sign-sub-inv_binary64`
528×	`associate-/r/_binary64`
484×	`associate-/r/_binary64`
448×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	4069
1	754	3422
2	3533	3216
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 119 to 74 computations (37.8% saved)

end92.0ms (0.8%)

Compiler: Compiled 376 to 107 computations (71.5% saved)