Details

analyze508.0ms (2.6%)

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)

sample1.6s (8%)

Results

1.5s	8256×	body	256	valid
88.0ms	476×	body	256	invalid

preprocess32.0ms (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)

simplify10.0ms (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)

prune2.0ms (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

26.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize30.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (.f64 a c) (.f64 b d))
✓	25.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series25.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

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

simplify116.0ms (0.6%)

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))

eval59.0ms (0.3%)

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

prune59.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

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

Error

0.4b

Counts

134 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	19.6b	(.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)))
▶	30.9b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	26.8b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 3) (+.f64 (.f64 c c) (*.f64 d d)))
✓	26.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	17.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	35.9b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
▶	40.0b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	36.3b	(/.f64 b d)
	38.9b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	46.1b	(/.f64 (fma.f64 (.f64 b (sqrt.f64 d)) (sqrt.f64 d) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
▶	39.1b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	33.0b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	39.5b	(/.f64 a c)

Compiler

Compiled 429 to 255 computations (40.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	16.7b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series25.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

331 → 257

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.8b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c)))
✓	4.1b	(/.f64 (*.f64 d a) c)
✓	6.8b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
✓	8.1b	(/.f64 d (*.f64 c c))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series24.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-neg_binary64`
574×	`fma-def_binary64`
572×	`associate-/l*_binary64`
396×	`distribute-neg-frac_binary64`
392×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	2679
1	88	2607
2	246	2601
3	1079	2247
4	5927	2187

Stop Event

1×	node limit

Counts

367 → 231

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite57.0ms (0.3%)

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))))))

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

Inputs
(/.f64 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))

eval170.0ms (0.9%)

Compiler: Compiled 12952 to 4164 computations (67.9% saved)

prune117.0ms (0.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	579	18	597
Fresh	6	1	7
Picked	1	0	1
Done	2	3	5
Total	588	22	610

Error

0.2b

Counts

610 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
▶	34.5b	(+.f64 (/.f64 a c) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) (/.f64 c (/.f64 d c))))
	28.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	45.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (fma.f64 (/.f64 c d) a b)))
▶	17.9b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
✓	40.0b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	26.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	53.4b	(.f64 d (/.f64 b (.f64 c c)))
	33.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) (-.f64 b (/.f64 d (/.f64 c a)))) c))
▶	42.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
	38.9b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	51.8b	(.f64 c (/.f64 a (.f64 d d)))
	53.9b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (*.f64 d (/.f64 a c))))
✓	39.5b	(/.f64 a c)
	51.2b	(*.f64 c (/.f64 (/.f64 a d) d))
	45.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
▶	36.3b	(/.f64 b d)
	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	54.6b	(/.f64 (fma.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) (neg.f64 c) (.f64 (.f64 c c) (neg.f64 a))) (.f64 (*.f64 c c) (neg.f64 c)))
	35.2b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c))
▶	30.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

Compiler

Compiled 677 to 411 computations (39.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
✓	16.7b	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series21.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))
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	b	@	inf	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

rewrite78.0ms (0.4%)

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 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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)))))))

simplify86.0ms (0.4%)

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

localize6.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	2.5b	(*.f64 (/.f64 c d) (/.f64 a d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series9.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)) (/.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 2) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (sqrt.f64 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simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

230 → 151

Calls

Call 1

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

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 c (/.f64 d c))
✓	3.1b	(/.f64 (-.f64 b (/.f64 d (/.f64 c a))) (/.f64 c (/.f64 d c)))
✓	3.8b	(/.f64 d (/.f64 c a))
✓	6.8b	(+.f64 (/.f64 a c) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) (/.f64 c (/.f64 d c))))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series13.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`fma-def_binary64`
444×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
170×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	317	56
2	5671	56

Stop Event

1×	node limit

Counts

4 → 276

Calls

Call 1

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

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

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg_binary64`
577×	`associate-/l*_binary64`
574×	`fma-def_binary64`
400×	`associate-/r*_binary64`
386×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	2679
1	88	2607
2	246	2601
3	1084	2247
4	6004	2187

Stop Event

1×	node limit

Counts

432 → 295

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (/.f64 (*.f64 c a) d))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	3.3b	(/.f64 (*.f64 c a) d)
✓	5.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series16.0ms (0.1%)

Counts

3 → 60

Calls

33 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	c	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

rewrite97.0ms (0.5%)

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	33
1	262	33
2	3905	29

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.4%)

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	1482
1	205	1155
2	665	1098
3	2940	1056
4	6131	1056

Stop Event

1×	node limit

Counts

262 → 241

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

eval303.0ms (1.5%)

Compiler: Compiled 23076 to 7764 computations (66.4% saved)

prune213.0ms (1.1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	999	13	1012
Fresh	4	10	14
Picked	1	0	1
Done	5	2	7
Total	1009	25	1034

Error

0.1b

Counts

1034 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
	61.5b	(+.f64 (/.f64 b c) (/.f64 a d))
	57.1b	(/.f64 (neg.f64 b) d)
▶	59.6b	(/.f64 a d)
▶	28.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	45.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	34.9b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (*.f64 d b)))
	53.9b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 d (/.f64 c a))))
	61.3b	(-.f64 (neg.f64 (/.f64 a d)) (/.f64 b c))
	34.4b	(+.f64 (/.f64 a c) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) (*.f64 (/.f64 c d) c)))
	32.0b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	38.9b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	59.4b	(/.f64 (neg.f64 a) d)
▶	30.7b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))
	33.0b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	52.2b	(/.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (+.f64 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (-.f64 (/.f64 -1/2 b) (*.f64 (/.f64 a (pow.f64 b 3)) a)))) (/.f64 -1 b)))
▶	53.4b	(.f64 d (/.f64 b (.f64 c c)))
✓	39.5b	(/.f64 a c)
	51.2b	(*.f64 c (/.f64 (/.f64 a d) d))
✓	36.3b	(/.f64 b d)
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (fma.f64 (/.f64 c d) a b)))
	54.6b	(/.f64 (fma.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) (neg.f64 c) (.f64 (.f64 c c) (neg.f64 a))) (.f64 (*.f64 c c) (neg.f64 c)))
	35.2b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c))
	51.8b	(.f64 c (/.f64 a (.f64 d d)))

Compiler

Compiled 750 to 458 computations (38.9% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 c (hypot.f64 c d))
✓	1.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series14.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	174	20
2	2490	20

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

968×	`times-frac_binary64`
579×	`associate-/l*_binary64`
507×	`associate-/r*_binary64`
311×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	1914
1	681	1661
2	2694	1498

Stop Event

1×	node limit

Counts

139 → 140

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a))))
(+.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a)) (fma.f64 -1 (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a)) (/.f64 (.f64 c a) (.f64 d d)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a)) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))) (.f64 a (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3))))
(-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (neg.f64 (/.f64 (.f64 a (*.f64 d d)) (pow.f64 c 3)))))
(-.f64 (-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))) (/.f64 (fma.f64 a 0 (.f64 (pow.f64 d 4) (neg.f64 a))) (pow.f64 c 5)))
(-.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 (*.f64 (pow.f64 d 4) (neg.f64 a)) (pow.f64 c 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a (pow.f64 d 2)))) (.f64 a (+.f64 (.f64 1/8 (pow.f64 d 6)) (.f64 -1/8 (pow.f64 d 6)))))) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (.f64 -1 (+.f64 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 (fma.f64 (.f64 (pow.f64 d 6) 0) a (.f64 -1 (+.f64 (.f64 (.f64 d d) (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0)))) (.f64 (.f64 a (.f64 d d)) (*.f64 (pow.f64 d 4) 0))))) (pow.f64 c 7))))))
(-.f64 (-.f64 (-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))) (/.f64 (fma.f64 a 0 (neg.f64 (.f64 (.f64 d d) (+.f64 (fma.f64 a 0 (.f64 (pow.f64 d 4) (neg.f64 a))) (.f64 a 0))))) (pow.f64 c 7))) (/.f64 (fma.f64 a 0 (.f64 (pow.f64 d 4) (neg.f64 a))) (pow.f64 c 5)))
(-.f64 (-.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 (.f64 (pow.f64 d 4) (neg.f64 a)) (pow.f64 c 5))) (/.f64 (.f64 (.f64 d d) (neg.f64 (.f64 (pow.f64 d 4) (neg.f64 a)))) (pow.f64 c 7)))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3))))
(-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (neg.f64 (/.f64 (.f64 a (*.f64 d d)) (pow.f64 c 3)))))
(-.f64 (-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))) (/.f64 (fma.f64 a 0 (.f64 (pow.f64 d 4) (neg.f64 a))) (pow.f64 c 5)))
(-.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 (*.f64 (pow.f64 d 4) (neg.f64 a)) (pow.f64 c 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) a) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 d 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a (pow.f64 d 2)))))) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (.f64 -1 (+.f64 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 (fma.f64 (.f64 (pow.f64 d 6) 0) a (.f64 -1 (+.f64 (.f64 (.f64 d d) (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0)))) (.f64 (.f64 a (.f64 d d)) (*.f64 (pow.f64 d 4) 0))))) (pow.f64 c 7))))))
(-.f64 (-.f64 (-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))) (/.f64 (fma.f64 a 0 (neg.f64 (.f64 (.f64 d d) (+.f64 (fma.f64 a 0 (.f64 (pow.f64 d 4) (neg.f64 a))) (.f64 a 0))))) (pow.f64 c 7))) (/.f64 (fma.f64 a 0 (.f64 (pow.f64 d 4) (neg.f64 a))) (pow.f64 c 5)))
(-.f64 (-.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 (.f64 (pow.f64 d 4) (neg.f64 a)) (pow.f64 c 5))) (/.f64 (.f64 (.f64 d d) (neg.f64 (.f64 (pow.f64 d 4) (neg.f64 a)))) (pow.f64 c 7)))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3))))
(-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d (neg.f64 d)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))) (*.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 (*.f64 (pow.f64 d 6) (neg.f64 a)) (pow.f64 c 7))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 c 5)) (.f64 c (.f64 a (.f64 (pow.f64 c 4) 0)))) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d))))
(-.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (.f64 a (+.f64 (neg.f64 (pow.f64 c 5)) (.f64 c 0))) (pow.f64 d 6)))
(-.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 (*.f64 (pow.f64 c 5) (neg.f64 a)) (pow.f64 d 6)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 c a)) (.f64 -1 (.f64 (pow.f64 c 5) a))))) (.f64 c (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a)))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 a (pow.f64 c 3)) (.f64 (pow.f64 c 4) 0)) (fma.f64 -1 (.f64 (.f64 c c) (fma.f64 (.f64 (pow.f64 c 4) 0) (.f64 c a) (neg.f64 (.f64 a (pow.f64 c 5))))) (.f64 c (.f64 a (.f64 (pow.f64 c 6) 0))))) (pow.f64 d 8)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 c 5)) (.f64 c (.f64 a (.f64 (pow.f64 c 4) 0)))) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (.f64 a (+.f64 (neg.f64 (pow.f64 c 5)) (.f64 c 0))) (pow.f64 d 6))) (/.f64 (fma.f64 0 (.f64 a (pow.f64 c 3)) (-.f64 (.f64 a (.f64 c 0)) (.f64 (.f64 c c) (.f64 a (+.f64 (neg.f64 (pow.f64 c 5)) (*.f64 c 0)))))) (pow.f64 d 8)))
(-.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (+.f64 (/.f64 (.f64 (.f64 a (pow.f64 c 5)) (.f64 c c)) (pow.f64 d 8)) (/.f64 (.f64 (pow.f64 c 5) (neg.f64 a)) (pow.f64 d 6))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
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(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
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(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 c 5)) (.f64 c (.f64 a (.f64 (pow.f64 c 4) 0)))) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d))))
(-.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (.f64 a (+.f64 (neg.f64 (pow.f64 c 5)) (.f64 c 0))) (pow.f64 d 6)))
(-.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 (*.f64 (pow.f64 c 5) (neg.f64 a)) (pow.f64 d 6)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 c a)) (.f64 -1 (.f64 (pow.f64 c 5) a))))) (.f64 c (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a)))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 a (pow.f64 c 3)) (.f64 (pow.f64 c 4) 0)) (fma.f64 -1 (.f64 (.f64 c c) (fma.f64 (.f64 (pow.f64 c 4) 0) (.f64 c a) (neg.f64 (.f64 a (pow.f64 c 5))))) (.f64 c (.f64 a (.f64 (pow.f64 c 6) 0))))) (pow.f64 d 8)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 c 5)) (.f64 c (.f64 a (.f64 (pow.f64 c 4) 0)))) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (.f64 a (+.f64 (neg.f64 (pow.f64 c 5)) (.f64 c 0))) (pow.f64 d 6))) (/.f64 (fma.f64 0 (.f64 a (pow.f64 c 3)) (-.f64 (.f64 a (.f64 c 0)) (.f64 (.f64 c c) (.f64 a (+.f64 (neg.f64 (pow.f64 c 5)) (*.f64 c 0)))))) (pow.f64 d 8)))
(-.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (+.f64 (/.f64 (.f64 (.f64 a (pow.f64 c 5)) (.f64 c c)) (pow.f64 d 8)) (/.f64 (.f64 (pow.f64 c 5) (neg.f64 a)) (pow.f64 d 6))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 c d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 c d))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 c d))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 c d)))
(fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 c d)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (/.f64 c d) (*.f64 -5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7))))))
(fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 c d)) (*.f64 -5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))))
(fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 -5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)) (/.f64 c d))))
1
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1)
(fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 c c)) 1)
(fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 d c)) 1)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 4)) (fma.f64 -1/2 (/.f64 (.f64 d d) (*.f64 c c)) 1))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 d c) (/.f64 d c)) 1) (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 4)))
(fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 d c)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) 1))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 6))))))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 4)) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 c c)) 1) (neg.f64 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) -3/8)) (*.f64 (pow.f64 d 6) 1/8)) (pow.f64 c 6)))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 d c) (/.f64 d c)) 1) (/.f64 (fma.f64 (pow.f64 d 6) 1/8 (.f64 -1/2 (.f64 (pow.f64 d 6) -3/8))) (pow.f64 c 6))) (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 4)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 d c) (/.f64 d c)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) 1)) (/.f64 (fma.f64 (pow.f64 d 6) 1/8 (.f64 -1/2 (*.f64 (pow.f64 d 6) -3/8))) (pow.f64 c 6)))
-1
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1)
(fma.f64 1/2 (/.f64 (.f64 d d) (.f64 c c)) -1)
(fma.f64 (*.f64 (/.f64 d c) (/.f64 d c)) 1/2 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 1/8 (pow.f64 d 4))) (pow.f64 c 4))) (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2)))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 d 4) 3/8) (pow.f64 c 4))) (fma.f64 1/2 (/.f64 (.f64 d d) (*.f64 c c)) -1))
(fma.f64 -1 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4))) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) 1/2 -1))
(+.f64 -1 (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) 1/2 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) -3/8)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 1/8 (pow.f64 d 4)))))) (pow.f64 c 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 1/8 (pow.f64 d 4))) (pow.f64 c 4))) (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))))) 1)
(+.f64 (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 d 6) (.f64 -1/2 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) 3/8)))) (pow.f64 c 6))) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 d 4) 3/8) (pow.f64 c 4))) (fma.f64 1/2 (/.f64 (.f64 d d) (*.f64 c c)) -1)))
(+.f64 -1 (-.f64 (-.f64 (.f64 (.f64 (/.f64 d c) (/.f64 d c)) 1/2) (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))) (/.f64 (fma.f64 (pow.f64 d 6) -1/8 (.f64 -1/2 (*.f64 (pow.f64 d 6) 3/8))) (pow.f64 c 6))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) -3/8) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 d 6) 3/8) (.f64 (pow.f64 d 6) -1/8)) (pow.f64 c 6))) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) 1/2 -1))
1
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1)
(fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 c c)) 1)
(fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 d c)) 1)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4))) 1))
(fma.f64 -1 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 4)) (fma.f64 -1/2 (/.f64 (.f64 d d) (*.f64 c c)) 1))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 d c) (/.f64 d c)) 1) (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 4)))
(fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 d c)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) 1))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4))) (+.f64 1 (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 6))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 c c)) (+.f64 (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 d c)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)) (fma.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 6)) 1)))
(/.f64 c d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 c d))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 c d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 5)) (.f64 -1/8 (pow.f64 c 5))) (pow.f64 d 5))) (/.f64 c d)))
(fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 c d)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 5)) (.f64 -1/8 (pow.f64 c 5))))) (.f64 1/8 (pow.f64 c 7))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 5)) (.f64 -1/8 (pow.f64 c 5))) (pow.f64 d 5))) (/.f64 c d))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (pow.f64 c 5) -3/8)) (.f64 (pow.f64 c 7) 1/8)) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 5) -3/8) (pow.f64 d 5)) (/.f64 c d))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (-.f64 (-.f64 (/.f64 c d) (/.f64 (.f64 (pow.f64 c 5) -3/8) (pow.f64 d 5))) (/.f64 (fma.f64 (.f64 (.f64 c c) -1/2) (.f64 (pow.f64 c 5) -3/8) (*.f64 (pow.f64 c 7) 1/8)) (pow.f64 d 7))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 c d))) (/.f64 (fma.f64 (pow.f64 c 7) 1/8 (.f64 (.f64 c c) (.f64 (.f64 (pow.f64 c 5) -3/8) -1/2))) (pow.f64 d 7)))
(*.f64 -1 (/.f64 c d))
(neg.f64 (/.f64 c d))
(/.f64 (neg.f64 c) d)
(+.f64 (.f64 -1 (/.f64 c d)) (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))))
(fma.f64 -1 (/.f64 c d) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) 1/2))
(-.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) 1/2) (/.f64 c d))
(+.f64 (.f64 -1 (/.f64 c d)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (.f64 -1/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))))))
(fma.f64 -1 (/.f64 c d) (fma.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) -3/8)))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) 1/2 (/.f64 (*.f64 (pow.f64 c 5) -3/8) (pow.f64 d 5))) (/.f64 c d))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) 1/2 (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) -3/8)) (/.f64 c d))
(+.f64 (.f64 -1 (/.f64 c d)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 7) (pow.f64 d 7))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 5)) (*.f64 -1/8 (pow.f64 c 5)))) (pow.f64 d 7))))))))
(fma.f64 -1 (/.f64 c d) (fma.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (+.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) -3/8) (fma.f64 1/8 (/.f64 (pow.f64 c 7) (pow.f64 d 7)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 7) (.f64 (pow.f64 c 5) -3/8))))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) 1/2 (fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) -3/8 (fma.f64 1/8 (/.f64 (pow.f64 c 7) (pow.f64 d 7)) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 7)) (.f64 (pow.f64 c 5) -3/8)))))) (/.f64 c d))

localize4.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.8b	(.f64 d (/.f64 b (.f64 c c)))
✓	9.4b	(/.f64 b (*.f64 c c))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series9.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	36	528
3	77	528
4	215	528
5	813	528
6	3795	528
7	4618	528
8	4828	528
9	5047	528
10	5275	528
11	5606	528
12	7075	528

Stop Event

1×	node limit

Counts

116 → 60

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (*.f64 c (/.f64 a d)) d)
✓	0.9b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))
✓	4.1b	(*.f64 c (/.f64 a d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series8.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

Outputs

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

simplify174.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

307 → 193

Calls

Call 1

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.3%)

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)) b)

Outputs

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

626×	`times-frac_binary64`
616×	`associate-/l*_binary64`
391×	`associate-+l+_binary64`
342×	`associate-/r*_binary64`
310×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1139
1	492	1068
2	1988	1026
3	7675	1020

Stop Event

1×	node limit

Counts

60 → 62

Calls

Call 1

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

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

eval159.0ms (0.8%)

Compiler: Compiled 9821 to 4548 computations (53.7% saved)

prune119.0ms (0.6%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	506	14	520
Fresh	7	11	18
Picked	1	0	1
Done	1	5	6
Total	515	30	545

Error

0.1b

Counts

545 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	59.0b	(/.f64 b c)
	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
	59.0b	(*.f64 (/.f64 1 c) b)
	53.7b	(.f64 b (/.f64 d (.f64 c c)))
	57.1b	(/.f64 (neg.f64 b) d)
✓	59.6b	(/.f64 a d)
✓	28.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	45.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	50.4b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 d (/.f64 b c)) c)) 3)
	59.0b	(*.f64 (/.f64 -1 c) b)
	34.4b	(+.f64 (/.f64 a c) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) (*.f64 (/.f64 c d) c)))
	59.0b	(/.f64 (neg.f64 b) c)
	38.9b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	30.5b	(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 c a) d) d))
	36.4b	(*.f64 (/.f64 1 d) b)
	59.4b	(/.f64 (neg.f64 a) d)
	54.6b	(/.f64 (fma.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) (neg.f64 c) (.f64 (.f64 c c) (neg.f64 a))) (.f64 (*.f64 c c) (neg.f64 c)))
	51.8b	(/.f64 (/.f64 (*.f64 b d) c) c)
	33.0b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	52.2b	(/.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (+.f64 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (-.f64 (/.f64 -1/2 b) (*.f64 (/.f64 a (pow.f64 b 3)) a)))) (/.f64 -1 b)))
✓	53.4b	(.f64 d (/.f64 b (.f64 c c)))
✓	39.5b	(/.f64 a c)
	50.4b	(*.f64 (/.f64 c d) (/.f64 a d))
	43.0b	(/.f64 b (hypot.f64 c d))
	51.3b	(/.f64 d (/.f64 c (/.f64 b c)))
✓	36.3b	(/.f64 b d)
	43.3b	(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (fma.f64 (/.f64 c d) a b)))
	57.4b	(*.f64 d (pow.f64 (/.f64 (sqrt.f64 b) c) 2))
	51.8b	(.f64 c (/.f64 a (.f64 d d)))

Compiler

Compiled 400 to 257 computations (35.8% saved)

regimes1.0s (5.1%)

Counts

58 → 4

Calls

Call 1

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

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

Calls

5 calls:

246.0ms	c
241.0ms	a
234.0ms	b
175.0ms	d
94.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.0b	5	`a`
10.4b	6	`b`
8.4b	7	`c`
8.2b	5	`d`
8.1b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 686 to 226 computations (67.1% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.276614110491876e+284	+inf
0.0ms	-inf	-2.5082752293434327e+299

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes1.4s (7.1%)

Counts

53 → 7

Calls

Call 1

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

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

Calls

5 calls:

369.0ms	c
324.0ms	d
302.0ms	a
190.0ms	b
136.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.0b	5	`a`
10.4b	6	`b`
8.5b	7	`c`
7.2b	7	`d`
8.1b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 588 to 196 computations (66.7% saved)

bsearch343.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
51.0ms	2.9736244675589573e+58	7.702111828718116e+59
129.0ms	5.22161849223567e-32	1.0588169654702965e-28
40.0ms	4.23647302120828e-88	6.036165122615824e-86
54.0ms	2.3401594998146358e-240	1.1824969223281515e-225
22.0ms	-2.934542150707897e-161	-4.3744416341083027e-163
48.0ms	-2.853498899881927e+139	-1.7388859854098793e+139

Compiler

Compiled 112 to 67 computations (40.2% saved)

regimes2.8s (14.3%)

Counts

52 → 7

Calls

Call 1

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

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

Calls

5 calls:

740.0ms	a
700.0ms	b
493.0ms	d
447.0ms	c
279.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.6b	13	`a`
14.7b	5	`b`
10.8b	5	`c`
9.4b	7	`d`
11.5b	6	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 572 to 191 computations (66.6% saved)

bsearch169.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
26.0ms	2.9736244675589573e+58	7.702111828718116e+59
24.0ms	5.22161849223567e-32	1.0588169654702965e-28
63.0ms	4.23647302120828e-88	6.036165122615824e-86
14.0ms	3.142621319292828e-159	1.2169665592069837e-149
17.0ms	-8.824701028326866e-127	-1.7835581988019055e-130
24.0ms	-2.853498899881927e+139	-1.7388859854098793e+139

Compiler

Compiled 110 to 67 computations (39.1% saved)

regimes1.9s (9.6%)

Counts

47 → 8

Calls

Call 1

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

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

Calls

5 calls:

609.0ms	a
571.0ms	d
285.0ms	b
228.0ms	c
92.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.2b	8	`a`
20.6b	4	`b`
10.8b	5	`c`
9.3b	8	`d`
14.5b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 489 to 158 computations (67.7% saved)

bsearch376.0ms (1.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
24.0ms	2.9736244675589573e+58	7.702111828718116e+59
71.0ms	370751669.14618987	2.1068825284551205e+26
123.0ms	1.0588169654702965e-28	1.1365279956221173e-20
47.0ms	4.23647302120828e-88	6.036165122615824e-86
13.0ms	3.142621319292828e-159	1.2169665592069837e-149
64.0ms	-8.824701028326866e-127	-1.7835581988019055e-130
29.0ms	-2.853498899881927e+139	-1.7388859854098793e+139

Compiler

Compiled 110 to 67 computations (39.1% saved)

regimes1.1s (5.4%)

Counts

37 → 8

Calls

Call 1

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

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

Calls

5 calls:

373.0ms	a
192.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
185.0ms	b
167.0ms	d
124.0ms	c

Results

Error	Segments	Branch
20.2b	8	`a`
20.6b	4	`b`
10.8b	5	`c`
9.3b	8	`d`
14.5b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 376 to 121 computations (67.8% saved)

bsearch216.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
31.0ms	2.9736244675589573e+58	7.702111828718116e+59
25.0ms	370751669.14618987	2.1068825284551205e+26
24.0ms	1.0588169654702965e-28	1.1365279956221173e-20
32.0ms	4.23647302120828e-88	6.036165122615824e-86
21.0ms	3.142621319292828e-159	1.2169665592069837e-149
52.0ms	-8.824701028326866e-127	-1.7835581988019055e-130
30.0ms	-2.853498899881927e+139	-1.7388859854098793e+139

Compiler

Compiled 110 to 67 computations (39.1% saved)

regimes558.0ms (2.8%)

Counts

34 → 8

Calls

Call 1

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

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

Calls

5 calls:

158.0ms	a
138.0ms	d
126.0ms	c
87.0ms	b
40.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.2b	8	`a`
20.6b	4	`b`
10.8b	5	`c`
9.5b	8	`d`
14.5b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 325 to 106 computations (67.4% saved)

bsearch155.0ms (0.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
28.0ms	2.9736244675589573e+58	7.702111828718116e+59
23.0ms	370751669.14618987	2.1068825284551205e+26
24.0ms	1.0588169654702965e-28	1.1365279956221173e-20
23.0ms	4.23647302120828e-88	6.036165122615824e-86
13.0ms	3.142621319292828e-159	1.2169665592069837e-149
18.0ms	-8.824701028326866e-127	-1.7835581988019055e-130
24.0ms	-2.853498899881927e+139	-1.7388859854098793e+139

Compiler

Compiled 98 to 61 computations (37.8% saved)

regimes354.0ms (1.8%)

Counts

30 → 5

Calls

Call 1

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

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

Calls

4 calls:

142.0ms	a
77.0ms	b
71.0ms	c
57.0ms	d

Results

Error	Segments	Branch
20.5b	9	`a`
22.8b	5	`b`
12.5b	5	`c`
13.4b	3	`d`

Compiler

Compiled 240 to 83 computations (65.4% saved)

bsearch94.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	1.473740259983911e+106	1.3900753992268762e+116
23.0ms	4.675275716212167e-36	2.3047360668781587e-29
24.0ms	2.3127502167617188e-64	8.954789052557462e-60
24.0ms	-2.0188771669479473e+20	-219539181488859000.0

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes312.0ms (1.6%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

4 calls:

116.0ms	a
72.0ms	b
65.0ms	c
54.0ms	d

Results

Error	Segments	Branch
21.2b	9	`a`
22.5b	6	`b`
12.5b	5	`c`
13.4b	3	`d`

Compiler

Compiled 181 to 71 computations (60.8% saved)

bsearch96.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	1.473740259983911e+106	1.3900753992268762e+116
25.0ms	4.675275716212167e-36	2.3047360668781587e-29
23.0ms	2.3127502167617188e-64	8.954789052557462e-60
24.0ms	-2.0188771669479473e+20	-219539181488859000.0

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes331.0ms (1.7%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	a
93.0ms	b
72.0ms	d
35.0ms	c

Results

Error	Segments	Branch
21.6b	11	`a`
23.4b	8	`b`
17.5b	3	`c`
17.1b	5	`d`

Compiler

Compiled 170 to 69 computations (59.4% saved)

bsearch192.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	4.087015133523303e-20	1.7736748091328298e-18
24.0ms	4.23647302120828e-88	6.036165122615824e-86
120.0ms	3.142621319292828e-159	1.2169665592069837e-149
25.0ms	-1.1717054712853867e-55	-9.648446908072058e-60

Compiler

Compiled 242 to 161 computations (33.5% saved)

regimes319.0ms (1.6%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

4 calls:

123.0ms	a
88.0ms	b
67.0ms	d
35.0ms	c

Results

Error	Segments	Branch
21.9b	10	`a`
23.4b	8	`b`
17.5b	3	`c`
17.2b	5	`d`

Compiler

Compiled 159 to 66 computations (58.5% saved)

bsearch190.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	4.087015133523303e-20	1.7736748091328298e-18
24.0ms	4.23647302120828e-88	6.036165122615824e-86
117.0ms	3.142621319292828e-159	1.2169665592069837e-149
24.0ms	-1.7873953519218127e-61	-3.571876203729691e-69

Compiler

Compiled 242 to 161 computations (33.5% saved)

regimes482.0ms (2.5%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

170.0ms	b
117.0ms	d
111.0ms	a
79.0ms	c

Results

Error	Segments	Branch
21.9b	10	`a`
23.4b	8	`b`
17.5b	3	`c`
17.2b	5	`d`

Compiler

Compiled 148 to 62 computations (58.1% saved)

bsearch185.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	4.087015133523303e-20	1.7736748091328298e-18
25.0ms	4.23647302120828e-88	6.036165122615824e-86
113.0ms	3.142621319292828e-159	1.2169665592069837e-149
23.0ms	-1.7873953519218127e-61	-3.571876203729691e-69

Compiler

Compiled 242 to 161 computations (33.5% saved)

regimes251.0ms (1.3%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

4 calls:

106.0ms	a
60.0ms	b
40.0ms	c
40.0ms	d

Results

Error	Segments	Branch
26.4b	11	`a`
25.6b	6	`b`
22.0b	4	`c`
22.2b	3	`d`

Compiler

Compiled 137 to 58 computations (57.7% saved)

bsearch71.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	9.51457990635922e+75	1.7699330692214097e+102
23.0ms	-4.570865415223703e-46	-1.4148200451606684e-47
24.0ms	-2.0188771669479473e+20	-219539181488859000.0

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes167.0ms (0.9%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	a
41.0ms	b
28.0ms	d
22.0ms	c

Results

Error	Segments	Branch
26.9b	11	`a`
26.2b	6	`b`
23.4b	3	`c`
22.2b	3	`d`

Compiler

Compiled 80 to 44 computations (45% saved)

bsearch46.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.0588169654702965e-28	1.1365279956221173e-20
23.0ms	-7.7882807740781e+128	-1.3057062462918495e+128

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes18.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 b d)

Calls

4 calls:

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

Results

Error	Segments	Branch
36.3b	1	`a`
36.3b	1	`b`
36.3b	1	`c`
36.3b	1	`d`

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes23.0ms (0.1%)

Accuracy

Total -4.1b remaining (-7.2%)

Threshold costs -4.1b (-7.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	c
6.0ms	d
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
59.0b	1	`a`
59.0b	1	`b`
58.0b	2	`c`
57.7b	2	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.6826798710466468e+101	3.729456492544299e+102

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
12×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1576
1	183	1576
2	189	1576
3	193	1576
4	196	1576
5	197	1576

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) -inf.0) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) +inf.0) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (/.f64 b d))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) (if (<=.f64 d 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (+.f64 (/.f64 a c) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) (.f64 (/.f64 c d) c))) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) (if (<=.f64 d 76314039759197520/1461501637330902918203684832716283019655932542976) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 76314039759197520/1461501637330902918203684832716283019655932542976) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d)))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 1592366293920297728/4294967296) (/.f64 b (hypot.f64 c d)) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 1592366293920297728/4294967296) (/.f64 b d) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 1592366293920297728/4294967296) (/.f64 b d) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
(if (<=.f64 c -26461826802620135049789440/131072) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 856954174345265/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 c 874614158619839/187072209578355573530071658587684226515959365500928) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 14737402599839109790174922576907232337441148972723483888781538727483615284696684936108236140025491163709440) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -26461826802620135049789440/131072) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 856954174345265/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 c 874614158619839/187072209578355573530071658587684226515959365500928) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 14737402599839109790174922576907232337441148972723483888781538727483615284696684936108236140025491163709440) (+.f64 (/.f64 b d) (/.f64 (.f64 c (/.f64 a d)) d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -6469451164766747/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (/.f64 b d) (/.f64 (.f64 c (/.f64 a d)) d)) (if (<=.f64 d 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 a c) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 13907391832770048000/340282366920938463463374607431768211456) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))))))
(if (<=.f64 d -20696624209209472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 d 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 a c) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 13907391832770048000/340282366920938463463374607431768211456) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 c a) d) d))))))
(if (<=.f64 d -20696624209209472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 d 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 a c) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 d 13907391832770048000/340282366920938463463374607431768211456) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 c a) d) d))))))
(if (<=.f64 c -26461826802620135049789440/131072) (/.f64 a c) (if (<=.f64 c -1469019506182127/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (/.f64 c d) (/.f64 a d)) (if (<=.f64 c 9514579906359220467116846478606617962920773404928498181542030542586203078656) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d -778828077407809924990500452144533896937852282894164548599674966007683846963948737061703562921905090160459287149737016069401346048) (/.f64 b d) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (/.f64 a c) (/.f64 b d)))
(/.f64 b d)
(if (<=.f64 d 268267987104664682601201184146339853227008209797995953640577741364554461938047346850858535561776332800) (/.f64 b c) (/.f64 a d))
(/.f64 b c)

Outputs
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(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 76314039759197520/1461501637330902918203684832716283019655932542976) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d)))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3795447269851745/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 4769627484949845/91343852333181432387730302044767688728495783936) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d)))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 1592366293920297728/4294967296) (/.f64 b (hypot.f64 c d)) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3795447269851745/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 6220180835626163/16777216) (/.f64 b (hypot.f64 c d)) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -31217485503159924/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 1592366293920297728/4294967296) (/.f64 b d) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
(if (<=.f64 d -28534988998819269101185576974572710641926151059437695244945543657012027037590670162019229313834931145296023724467334492981523612457148350464) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (/.f64 d (/.f64 c a)))) c) c)) (if (<=.f64 d 3795447269851745/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 6220180835626163/16777216) (/.f64 b d) (if (<=.f64 d 29736244675589573474479770298728035455418053233502880530432) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))))))))))
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(if (<=.f64 c -26461826802620135049789440/131072) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 856954174345265/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 c 874614158619839/187072209578355573530071658587684226515959365500928) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 14737402599839109790174922576907232337441148972723483888781538727483615284696684936108236140025491163709440) (+.f64 (/.f64 b d) (/.f64 (.f64 c (/.f64 a d)) d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -201887716694794731520) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 856954174345265/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 a c) d) d)) (if (<=.f64 c 874614158619839/187072209578355573530071658587684226515959365500928) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 14737402599839109790174922576907232337441148972723483888781538727483615284696684936108236140025491163709440) (+.f64 (/.f64 b d) (/.f64 (.f64 c (/.f64 a d)) d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
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(if (<=.f64 d -6469451164766747/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (/.f64 b d) (/.f64 (.f64 c (/.f64 a d)) d)) (if (<=.f64 d 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 a c) (if (<=.f64 d 3795447269851745/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 d 3395359334172375/83076749736557242056487941267521536) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))))))
(if (<=.f64 d -20696624209209472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 b d) (/.f64 (/.f64 (.f64 c a) d) d)) (if (<=.f64 d 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 a c) (if (<=.f64 d 3886538004328186880/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 13907391832770048000/340282366920938463463374607431768211456) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 c a) d) d))))))
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(if (<=.f64 c -201887716694794731520) (/.f64 a c) (if (<=.f64 c -1469019506182127/3213876088517980551083924184682325205044405987565585670602752) (*.f64 (/.f64 c d) (/.f64 a d)) (if (<=.f64 c 9514579906359220467116846478606617962920773404928498181542030542586203078656) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d -778828077407809924990500452144533896937852282894164548599674966007683846963948737061703562921905090160459287149737016069401346048) (/.f64 b d) (if (<=.f64 d 295155091985431/2787593149816327892691964784081045188247552) (/.f64 a c) (/.f64 b d)))
(/.f64 b d)
(if (<=.f64 d 268267987104664682601201184146339853227008209797995953640577741364554461938047346850858535561776332800) (/.f64 b c) (/.f64 a d))
(/.f64 b c)

Compiler

Compiled 1142 to 456 computations (60.1% saved)

soundness189.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 431 to 277 computations (35.7% saved)

end177.0ms (0.9%)

Compiler: Compiled 1082 to 246 computations (77.3% saved)