Details

analyze397.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.3s (6.3%)

Results

1.2s	8256×	body	256	valid
67.0ms	507×	body	256	infinite

Bogosity

preprocess118.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1882×	`associate-+l-`
1124×	`associate-+r-`
826×	`associate-r`
824×	`associate-/l*`
758×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	273
1	112	273
2	223	273
3	368	273
4	803	273
5	1768	273
6	3331	273
7	6654	273
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1536×	`times-frac`
956×	`associate-/r/`
924×	`distribute-lft-neg-in`
860×	`distribute-rgt-neg-in`
752×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	28	39
2	52	39
3	84	39
4	159	39
5	298	39
6	479	39
7	757	39
8	1457	39
9	2303	39
10	3004	39
11	4782	39

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 33 to 13 computations (60.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

23.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	23.3b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series10.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`associate-*l/`
1790×	`associate-/r*`
408×	`associate-+l+`
318×	`add-sqr-sqrt`
314×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	295	69
2	4440	69

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

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

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

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

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac`
868×	`associate-/l*`
856×	`fma-def`
738×	`associate-r`
646×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	17311
1	1831	15457

Stop Event

1×	node limit

Counts

375 → 383

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c b) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c b) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(*.f64 -1 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (/.f64 (.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (.f64 c b) (.f64 d d)))
(-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (.f64 c b) (.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(+.f64 (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (.f64 c b) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))))
(+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a) (-.f64 (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) b)))
(/.f64 b c)
(+.f64 (.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(fma.f64 -1 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 b c))
(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
(+.f64 (.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(fma.f64 -1 (/.f64 (.f64 a d) (.f64 c c)) (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)))
(-.f64 (-.f64 (/.f64 b c) (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b))) (.f64 (/.f64 d c) (/.f64 a c)))
(+.f64 (.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(fma.f64 -1 (/.f64 (.f64 a d) (.f64 c c)) (+.f64 (fma.f64 -1 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (-.f64 (-.f64 (/.f64 b c) (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b))) (.f64 (/.f64 d c) (/.f64 a c))) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(/.f64 b c)
(+.f64 (.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(fma.f64 -1 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 b c))
(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
(+.f64 (.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(fma.f64 -1 (/.f64 (.f64 a d) (.f64 c c)) (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)))
(-.f64 (-.f64 (/.f64 b c) (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b))) (.f64 (/.f64 d c) (/.f64 a c)))
(+.f64 (.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(fma.f64 -1 (/.f64 (.f64 a d) (.f64 c c)) (+.f64 (fma.f64 -1 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (-.f64 (-.f64 (/.f64 b c) (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b))) (.f64 (/.f64 d c) (/.f64 a c))) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c b) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(.f64 -1 (/.f64 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(.f64 -1 (/.f64 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
(+.f64 (/.f64 (.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 a (neg.f64 d)) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
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(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (.f64 c c) (.f64 d d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) 1) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) 1) (neg.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) 1) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 (.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (-.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (hypot.f64 c d)) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2))) (hypot.f64 c d)))
(/.f64 (hypot.f64 c d) (/.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4)))) (hypot.f64 (pow.f64 d 3) (pow.f64 c 3))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (sqrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (sqrt.f64 (-.f64 (.f64 c c) (*.f64 d d)))) (hypot.f64 c d))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (/.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (cbrt.f64 (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (.f64 d c) 2) (pow.f64 c 4))))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (/.f64 (cbrt.f64 (-.f64 (.f64 c c) (.f64 d d))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 d 4))) (/.f64 1 (-.f64 (.f64 c c) (*.f64 d d)))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (.f64 (/.f64 1 (-.f64 (.f64 c c) (*.f64 d d))) (-.f64 (pow.f64 c 8) (pow.f64 d 8))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (-.f64 (pow.f64 c 8) (pow.f64 d 8)) (.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 d 4) 3)) (/.f64 1 (-.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 d 4) 3)) (/.f64 (+.f64 (pow.f64 c 8) (+.f64 (pow.f64 d 8) (.f64 (pow.f64 d 4) (pow.f64 c 4)))) (/.f64 1 (-.f64 (.f64 c c) (*.f64 d d)))))
(/.f64 (/.f64 (-.f64 (pow.f64 c 12) (pow.f64 d 12)) (-.f64 (.f64 c c) (.f64 d d))) (fma.f64 (pow.f64 d 4) (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 c 8)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (.f64 (pow.f64 d 6) (pow.f64 d 6))) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (-.f64 (pow.f64 c 6) (pow.f64 d 6)))
(/.f64 (-.f64 (pow.f64 c 12) (pow.f64 d 12)) (/.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))))
(/.f64 (-.f64 (pow.f64 c 12) (pow.f64 d 12)) (.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (.f64 d c) 2) (pow.f64 c 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (+.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (*.f64 (pow.f64 c 6) (pow.f64 d 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3)) (/.f64 (+.f64 (pow.f64 c 12) (-.f64 (pow.f64 d 12) (.f64 (pow.f64 c 6) (pow.f64 d 6)))) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 d c) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3)) (.f64 (fma.f64 (pow.f64 d 6) (-.f64 (pow.f64 d 6) (pow.f64 c 6)) (pow.f64 c 12)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (.f64 d c) 2) (pow.f64 c 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (sqrt.f64 (-.f64 (.f64 c c) (.f64 d d)))) (sqrt.f64 (-.f64 (.f64 c c) (.f64 d d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (.f64 (cbrt.f64 (-.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (-.f64 (.f64 c c) (.f64 d d))))) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) 1) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (pow.f64 d 4) (-.f64 (pow.f64 (*.f64 d c) 2) (pow.f64 c 4))))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (hypot.f64 c d) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(pow.f64 (hypot.f64 c d) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))
(pow.f64 (hypot.f64 c d) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))

eval108.0ms (0.5%)

Compiler: Compiled 11157 to 3076 computations (72.4% saved)

prune86.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	366	17	383
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	366	18	384

Error

1.4b

Counts

384 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	35.9b	(fma.f64 -1 (/.f64 a d) (/.f64 (.f64 c b) (.f64 d d)))
▶	23.7b	(/.f64 (fma.f64 c b (.f64 a (neg.f64 d))) (+.f64 (.f64 c c) (*.f64 d d)))
	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (*.f64 c c)))
	43.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c))))
✓	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
	44.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	42.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	23.8b	(/.f64 (+.f64 (-.f64 (.f64 c b) (.f64 a d)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 d) a (.f64 a d))))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	37.8b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	39.6b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
	39.5b	(/.f64 (neg.f64 a) d)
▶	37.5b	(/.f64 b c)
	38.3b	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
	22.8b	(-.f64 (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) c)) (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)))
	31.0b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	35.2b	(-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d))
▶	36.3b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
▶	13.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))

Compiler

Compiled 599 to 361 computations (39.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	13.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series12.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`distribute-lft-in`
962×	`associate-/l/`
832×	`associate-/r/`
376×	`associate-+l+`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	307	81
2	4360	81

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs
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Outputs

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

simplify292.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-/l*`
1180×	`associate-/r*`
904×	`*-commutative`
596×	`+-commutative`
440×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	21672
1	2486	18996

Stop Event

1×	node limit

Counts

340 → 445

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	14.4b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	d	@	inf	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	b	@	0	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	b	@	inf	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
0.0ms	c	@	0	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
0.0ms	c	@	inf	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-/r*`
1352×	`associate-/l*`
1342×	`associate-*r/`
1098×	`*-commutative`
958×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	217	25
2	3113	25

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1688×	`associate-/l*`
1354×	`associate-+r-`
1346×	`times-frac`
936×	`associate-/r*`
628×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3861
1	489	3711
2	1875	3597
3	7636	3597

Stop Event

1×	node limit

Counts

95 → 105

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 b d) (/.f64 c d))
(/.f64 (/.f64 b (/.f64 d c)) d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) b))
(.f64 b (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b))) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) b)))
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(fma.f64 (/.f64 b d) (/.f64 c d) (*.f64 b (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
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(*.f64 c (/.f64 b (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))
(/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) c))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(*.f64 c (/.f64 b (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))
(/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) c))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
✓	17.0b	(/.f64 c (fma.f64 d d (*.f64 c c)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`*-commutative`
908×	`associate-*r/`
844×	`associate-/r*`
756×	`unswap-sqr`
646×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	204	44
2	2628	44

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

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

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-/l*`
604×	`times-frac`
574×	`associate-/l/`
564×	`distribute-rgt-in`
562×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	8385
1	1242	8099
2	5383	8009

Stop Event

1×	node limit

Counts

223 → 263

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.5b	(fma.f64 c b (*.f64 a (neg.f64 d)))
✓	23.3b	(/.f64 (fma.f64 c b (.f64 a (neg.f64 d))) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series5.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`associate-*r/`
950×	`associate-*l/`
950×	`associate-/r*`
652×	`associate-/l*`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	316	48
2	4313	48

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1820×	`distribute-lft-in`
1394×	`associate-/l/`
1298×	`associate-/r/`
392×	`associate-/l*`
376×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	229	6156
1	594	5772
2	3425	5772

Stop Event

1×	node limit

Counts

176 → 147

Calls

Call 1

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

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

eval756.0ms (3.7%)

Compiler: Compiled 34892 to 12809 computations (63.3% saved)

prune508.0ms (2.5%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1329	20	1349
Fresh	6	6	12
Picked	1	0	1
Done	3	2	5
Total	1339	28	1367

Error

Counts

1367 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	30.1b	(fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c))
	27.9b	(/.f64 (/.f64 c (/.f64 (hypot.f64 d c) b)) (hypot.f64 d c))
▶	51.8b	(/.f64 (/.f64 b (/.f64 d c)) d)
	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (*.f64 c c)))
✓	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	44.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	42.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	23.8b	(/.f64 (+.f64 (-.f64 (.f64 c b) (.f64 a d)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 d) a (.f64 a d))))) (+.f64 (.f64 c c) (*.f64 d d)))
	54.0b	(/.f64 (.f64 c b) (.f64 d d))
	45.5b	(/.f64 (.f64 c b) (.f64 c c))
	39.6b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (*.f64 c c)))
▶	39.5b	(/.f64 (neg.f64 a) d)
✓	37.5b	(/.f64 b c)
	35.0b	(-.f64 (/.f64 b c) (.f64 (/.f64 d (.f64 c c)) a))
	31.0b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	33.8b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
	24.3b	(+.f64 (/.f64 (neg.f64 (.f64 a d)) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) b)))
	36.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	53.5b	(.f64 (/.f64 c (.f64 d d)) b)
	52.1b	(*.f64 (/.f64 b d) (/.f64 c d))
	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1 (/.f64 a (/.f64 c d)) b))
▶	0.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
	46.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (*.f64 c b) d)) a))
	43.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (*.f64 a d) c)) b))
▶	45.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))
	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	44.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	37.5b	(*.f64 (/.f64 1 c) b)

Compiler

Compiled 842 to 518 computations (38.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 d (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
✓	2.5b	(*.f64 (/.f64 d (hypot.f64 c d)) a)
✓	9.4b	(*.f64 (/.f64 b (hypot.f64 c d)) c)

Compiler

Compiled 77 to 16 computations (79.2% saved)

series20.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite137.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`distribute-rgt-in`
1010×	`distribute-lft-in`
782×	`associate-/r/`
516×	`associate-/l/`
390×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	329	94
2	4651	88

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify203.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-r`
1072×	`associate-/l*`
1044×	`*-commutative`
1026×	`associate-l`
884×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	20797
1	2821	20515

Stop Event

1×	node limit

Counts

333 → 496

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (/.f64 b (/.f64 d c)) d)
✓	6.0b	(/.f64 b (/.f64 d c))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(/.f64 (/.f64 b (/.f64 d c)) d)
1.0ms	c	@	inf	(/.f64 (/.f64 b (/.f64 d c)) d)
0.0ms	d	@	inf	(/.f64 b (/.f64 d c))
0.0ms	c	@	0	(/.f64 (/.f64 b (/.f64 d c)) d)
0.0ms	b	@	inf	(/.f64 b (/.f64 d c))

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`*-commutative`
1034×	`associate-/r/`
766×	`unswap-sqr`
746×	`associate-/l/`
694×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	178	32
2	2707	32

Stop Event

1×	node limit

Counts

2 → 214

Calls

Call 1

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

Outputs

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

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1398×	`distribute-rgt-in`
1384×	`distribute-lft-in`
754×	`associate-*r/`
752×	`associate-r`
732×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	463	6346
1	1342	5982
2	5331	5982

Stop Event

1×	node limit

Counts

286 → 270

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 c d)))) 1)
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(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(*.f64 (/.f64 (/.f64 b (neg.f64 d)) (neg.f64 d)) c)
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(*.f64 (/.f64 (/.f64 b (neg.f64 d)) -1) (/.f64 c d))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(*.f64 (/.f64 (/.f64 b (neg.f64 d)) d) (neg.f64 c))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (cbrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (cbrt.f64 (.f64 b (/.f64 c (*.f64 d d))))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (*.f64 d d)))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 (/.f64 b d) d))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 (/.f64 b d) d)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 (/.f64 b d) d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 (/.f64 b d) d))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c b) (.f64 d d))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 c b) (.f64 d d)))) (cbrt.f64 (sqrt.f64 (/.f64 (.f64 c b) (.f64 d d))))))
(.f64 (.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))))) (.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 c (*.f64 d d)))))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (*.f64 d d)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 (/.f64 b d) d))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 (/.f64 b d) d)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (/.f64 (/.f64 b d) d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 (/.f64 b d) d))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d))))) (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c b) (.f64 d d))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 c b) (.f64 d d)))) (cbrt.f64 (sqrt.f64 (/.f64 (.f64 c b) (.f64 d d))))))
(.f64 (.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 c d))) (*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 c d))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(.f64 (.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (sqrt.f64 (/.f64 c d))) (*.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (sqrt.f64 (/.f64 c d))))
(.f64 (.f64 (sqrt.f64 (/.f64 c d)) (/.f64 (sqrt.f64 b) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 c d)) (/.f64 (sqrt.f64 b) (sqrt.f64 d))))
(.f64 (/.f64 c d) (.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (/.f64 (sqrt.f64 b) (sqrt.f64 d))))
(.f64 (.f64 (sqrt.f64 (/.f64 b d)) (/.f64 (sqrt.f64 c) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 b d)) (/.f64 (sqrt.f64 c) (sqrt.f64 d))))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 c)) (sqrt.f64 d)) (/.f64 (*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 c)) (sqrt.f64 d)))
(.f64 (/.f64 b d) (.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 d)) (/.f64 (sqrt.f64 c) (sqrt.f64 d))))
(.f64 (.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (/.f64 (sqrt.f64 c) (sqrt.f64 d))) (*.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (/.f64 (sqrt.f64 c) (sqrt.f64 d))))
(.f64 (/.f64 (.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 b) (sqrt.f64 d))) (sqrt.f64 d)) (/.f64 (*.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 b) (sqrt.f64 d))) (sqrt.f64 d)))
(.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 d)) (/.f64 (/.f64 (.f64 b (/.f64 (sqrt.f64 c) (sqrt.f64 d))) (sqrt.f64 d)) (sqrt.f64 d)))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 3/2) (pow.f64 (cbrt.f64 (.f64 b (/.f64 c (*.f64 d d)))) 3/2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(.f64 (pow.f64 (pow.f64 (.f64 b (/.f64 c (.f64 d d))) 3) 1/6) (pow.f64 (pow.f64 (.f64 b (/.f64 c (*.f64 d d))) 3) 1/6))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(.f64 (pow.f64 (.f64 d (/.f64 d (.f64 b c))) -1/2) (pow.f64 (.f64 d (/.f64 d (*.f64 b c))) -1/2))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(pow.f64 (.f64 b (/.f64 c (.f64 d d))) 1)
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(pow.f64 (sqrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 2)
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(pow.f64 (cbrt.f64 (.f64 b (/.f64 c (.f64 d d)))) 3)
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(pow.f64 (pow.f64 (.f64 b (/.f64 c (.f64 d d))) 3) 1/3)
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(pow.f64 (.f64 d (/.f64 d (.f64 b c))) -1)
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(neg.f64 (/.f64 b (*.f64 d (/.f64 d (neg.f64 c)))))
(.f64 (neg.f64 b) (.f64 (/.f64 1 (*.f64 d d)) (neg.f64 c)))
(*.f64 (/.f64 (neg.f64 (/.f64 b d)) d) (neg.f64 c))
(neg.f64 (*.f64 (/.f64 (neg.f64 b) (/.f64 d c)) (/.f64 1 d)))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(neg.f64 (.f64 (/.f64 b (.f64 d (/.f64 d (neg.f64 c)))) 1))
(.f64 (neg.f64 b) (.f64 (/.f64 1 (*.f64 d d)) (neg.f64 c)))
(*.f64 (/.f64 (neg.f64 (/.f64 b d)) d) (neg.f64 c))
(neg.f64 (.f64 (.f64 b (/.f64 c d)) (/.f64 1 (neg.f64 d))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(neg.f64 (.f64 1 (/.f64 b (.f64 d (/.f64 d (neg.f64 c))))))
(.f64 (neg.f64 b) (.f64 (/.f64 1 (*.f64 d d)) (neg.f64 c)))
(*.f64 (/.f64 (neg.f64 (/.f64 b d)) d) (neg.f64 c))
(neg.f64 (*.f64 (/.f64 1 d) (/.f64 (neg.f64 b) (/.f64 d c))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) (/.f64 d c)) d))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(sqrt.f64 (pow.f64 (.f64 b (/.f64 c (.f64 d d))) 2))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 (/.f64 b d) d)) 2))
(fabs.f64 (.f64 b (/.f64 c (.f64 d d))))
(fabs.f64 (/.f64 (.f64 c b) (.f64 d d)))
(log.f64 (exp.f64 (.f64 b (/.f64 c (.f64 d d)))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (/.f64 c (.f64 d d))))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(cbrt.f64 (pow.f64 (.f64 b (/.f64 c (.f64 d d))) 3))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b (/.f64 c d)) 3) (pow.f64 d 3)))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(expm1.f64 (log1p.f64 (.f64 b (/.f64 c (.f64 d d)))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(exp.f64 (log.f64 (.f64 b (/.f64 c (.f64 d d)))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))
(log1p.f64 (expm1.f64 (.f64 b (/.f64 c (.f64 d d)))))
(*.f64 c (/.f64 (/.f64 b d) d))
(.f64 b (/.f64 c (.f64 d d)))
(/.f64 (.f64 c b) (.f64 d d))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	17.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite137.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`associate-*l/`
898×	`distribute-lft-in`
480×	`associate-/l/`
388×	`associate-/r/`
328×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	247	31
2	3736	31

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-/l*`
1140×	`associate-*r/`
1066×	`*-commutative`
802×	`distribute-lft-in`
790×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	4163
1	588	3973
2	2524	3933

Stop Event

1×	node limit

Counts

107 → 99

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))
✓	4.8b	(/.f64 c (/.f64 d b))

Compiler

Compiled 49 to 15 computations (69.4% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`associate-/r/`
812×	`distribute-rgt-in`
766×	`distribute-lft-in`
574×	`associate-/l/`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	327	40
2	4771	40

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

simplify130.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

788×	`distribute-lft-neg-in`
722×	`distribute-rgt-neg-in`
660×	`distribute-lft-neg-out`
586×	`associate-r`
578×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	8050
1	1301	7246
2	5452	7174

Stop Event

1×	node limit

Counts

216 → 234

Calls

Call 1

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

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

eval680.0ms (3.3%)

Compiler: Compiled 38990 to 13626 computations (65.1% saved)

prune532.0ms (2.6%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1382	17	1399
Fresh	6	15	21
Picked	1	0	1
Done	1	5	6
Total	1390	37	1427

Error

Counts

1427 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(fma.f64 -1 (/.f64 (/.f64 (*.f64 d a) c) c) (/.f64 b c))
	30.1b	(fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c))
	27.9b	(/.f64 (/.f64 c (/.f64 (hypot.f64 d c) b)) (hypot.f64 d c))
✓	51.8b	(/.f64 (/.f64 b (/.f64 d c)) d)
	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (*.f64 c c)))
✓	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	44.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	42.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	23.8b	(/.f64 (+.f64 (-.f64 (.f64 c b) (.f64 a d)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 d) a (.f64 a d))))) (+.f64 (.f64 c c) (*.f64 d d)))
	51.8b	(/.f64 (*.f64 (/.f64 c d) b) d)
	51.9b	(/.f64 (*.f64 (/.f64 b d) c) d)
	39.6b	(/.f64 (.f64 d (neg.f64 a)) (+.f64 (.f64 d d) (*.f64 c c)))
	54.0b	(/.f64 (.f64 c b) (.f64 d d))
▶	45.5b	(/.f64 (.f64 c b) (.f64 c c))
	49.3b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
	59.2b	(/.f64 (neg.f64 b) d)
✓	39.5b	(/.f64 (neg.f64 a) d)
	59.0b	(/.f64 b d)
✓	37.5b	(/.f64 b c)
▶	57.8b	(/.f64 a d)
	60.9b	(-.f64 (/.f64 b d) (/.f64 a c))
	35.0b	(-.f64 (/.f64 b c) (.f64 (/.f64 d (.f64 c c)) a))
	31.0b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	61.0b	(-.f64 (/.f64 a c) (/.f64 b d))
▶	33.8b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
	24.3b	(+.f64 (/.f64 (.f64 d (neg.f64 a)) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) b)))
	36.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	53.5b	(.f64 (/.f64 c (.f64 d d)) b)
	52.1b	(*.f64 (/.f64 c d) (/.f64 b d))
	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1 (/.f64 a (/.f64 c d)) b))
▶	23.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 b (.f64 (/.f64 d (hypot.f64 c d)) a)))
▶	45.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	44.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	33.1b	(*.f64 (/.f64 1 d) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))
	51.8b	(.f64 (/.f64 1 d) (.f64 b (/.f64 c d)))
	37.5b	(*.f64 (/.f64 1 c) b)
	53.1b	(neg.f64 (/.f64 b (*.f64 d (/.f64 d (neg.f64 c)))))

Compiler

Compiled 956 to 598 computations (37.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
	0.0b	(/.f64 d (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 b (.f64 (/.f64 d (hypot.f64 c d)) a)))
	2.5b	(*.f64 (/.f64 d (hypot.f64 c d)) a)

Compiler

Compiled 53 to 14 computations (73.6% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`associate-/r*`
1212×	`associate-/l*`
704×	`distribute-lft-in`
462×	`associate-/r/`
318×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	278	37
2	3781	37

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a)) 1 (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)) (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 (neg.f64 d) (hypot.f64 c d)) a (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)))) (sqrt.f64 (/.f64 (*.f64 d a) (hypot.f64 c d))) (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d a) (hypot.f64 c d))) 2) (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) b) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a))) (*.f64 (/.f64 1 (hypot.f64 c d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a)) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a)) (/.f64 1 (hypot.f64 c d))) (*.f64 b (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 c d)) b)) (*.f64 1 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 b (/.f64 1 (hypot.f64 c d)))) (*.f64 1 (*.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 a)) (/.f64 1 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 c d) (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (hypot.f64 c d) (+.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (hypot.f64 c d) (fma.f64 b b (*.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))))) (-.f64 (pow.f64 b 3) (pow.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))) (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) (/.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))))) (cbrt.f64 (sqrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) (/.f64 (/.f64 (hypot.f64 c d) (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))))) (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 (-.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)) 2)) (*.f64 (hypot.f64 c d) (+.f64 b (/.f64 (*.f64 d a) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) (hypot.f64 c d)) 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simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

834×	`associate-/l*`
790×	`times-frac`
700×	`associate-/r*`
686×	`fma-def`
652×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	618	16728
1	1913	15344

Stop Event

1×	node limit

Counts

190 → 268

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	19.6b	(/.f64 (.f64 c b) (.f64 c c))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
158×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	151	7
2	2312	7

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-+r+`
1432×	`associate-/l*`
1270×	`times-frac`
988×	`associate-/r*`
600×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	857
1	359	797
2	1449	779
3	6587	779

Stop Event

1×	node limit

Counts

75 → 59

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
✓	2.0b	(*.f64 (/.f64 c d) (/.f64 b d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series3.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`swap-sqr`
540×	`associate-/r/`
526×	`distribute-rgt-in`
500×	`distribute-lft-neg-in`
490×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	250	44
2	3783	44

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

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

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1042×	`+-commutative`
852×	`associate-+r-`
782×	`fma-def`
756×	`distribute-lft-neg-in`
704×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	10873
1	1210	10135
2	5574	9991

Stop Event

1×	node limit

Counts

241 → 276

Calls

Call 1

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

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1668×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	219	13
2	2664	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-/l*`
1324×	`times-frac`
866×	`associate-/r*`
824×	`associate-*r/`
782×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2681
1	579	2591
2	2238	2463

Stop Event

1×	node limit

Counts

61 → 100

Calls

Call 1

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

Outputs
(*.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 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b))))
(fma.f64 1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 (neg.f64 b) d))
(fma.f64 1/2 (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))) (/.f64 (neg.f64 b) d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (.f64 (*.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (.f64 (/.f64 b (pow.f64 d 5)) (*.f64 -3/8 (pow.f64 c 4)))) (/.f64 b d))
(-.f64 (fma.f64 1/2 (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) (*.f64 b -3/8)))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4)) (.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))))))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4) (.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 (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (/.f64 b (pow.f64 d 5)) (/.f64 (.f64 d d) -3/8)) (/.f64 1/8 (/.f64 (pow.f64 d 7) b))) (.f64 (/.f64 b (pow.f64 d 5)) (.f64 -3/8 (pow.f64 c 4))))) (/.f64 b d))
(-.f64 (fma.f64 1/2 (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))) (fma.f64 (pow.f64 c 6) (fma.f64 -1/2 (.f64 (/.f64 (/.f64 b (pow.f64 d 5)) (.f64 d d)) -3/8) (.f64 1/8 (/.f64 b (pow.f64 d 7)))) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) (.f64 b -3/8))))) (/.f64 b d))
(*.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 b) (*.f64 d d)) (pow.f64 c 3)) (/.f64 b c))
(-.f64 (.f64 (/.f64 (.f64 1/2 (*.f64 d d)) (pow.f64 c 3)) b) (/.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 b (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (-.f64 (*.f64 -1/4 (/.f64 b (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (/.f64 b c))))
(fma.f64 1/2 (*.f64 b (/.f64 d (/.f64 (pow.f64 c 3) d))) (fma.f64 (pow.f64 d 4) (/.f64 b (/.f64 (pow.f64 c 5) -3/8)) (/.f64 (neg.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 b (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) b) (fma.f64 1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (-.f64 (fma.f64 -1/4 (/.f64 b (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (/.f64 (.f64 d (.f64 d (.f64 (pow.f64 d 4) (*.f64 b -3/8)))) (/.f64 (pow.f64 c 7) -1/2))) (/.f64 b c)))))
(+.f64 (.f64 (pow.f64 d 6) (.f64 (/.f64 1/8 (pow.f64 c 7)) b)) (+.f64 (fma.f64 1/2 (.f64 b (/.f64 d (/.f64 (pow.f64 c 3) d))) (fma.f64 (pow.f64 d 4) (/.f64 b (/.f64 (pow.f64 c 5) -3/8)) (/.f64 (neg.f64 b) c))) (.f64 -1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 7)) (.f64 b (.f64 (pow.f64 d 4) -3/8))))))
(/.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 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (/.f64 b c))
(fma.f64 -1/2 (*.f64 b (/.f64 d (/.f64 (pow.f64 c 3) 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))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (-.f64 (/.f64 b c) (/.f64 (.f64 (pow.f64 d 4) (.f64 b -3/8)) (pow.f64 c 5))))
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eval543.0ms (2.6%)

Compiler: Compiled 31026 to 12768 computations (58.8% saved)

prune394.0ms (1.9%)

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1054	11	1065
Fresh	6	21	27
Picked	1	0	1
Done	2	7	9
Total	1063	39	1102

Error

Counts

1102 → 39

Alt Table

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Status	Error	Program
	31.9b	(fma.f64 -1 (/.f64 (/.f64 (*.f64 d a) c) c) (/.f64 b c))
	30.1b	(fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c))
	27.9b	(/.f64 (/.f64 c (/.f64 (hypot.f64 d c) b)) (hypot.f64 d c))
✓	51.8b	(/.f64 (/.f64 b (/.f64 d c)) d)
	35.1b	(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
	33.6b	(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (*.f64 c c)))
✓	23.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	44.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	42.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	23.2b	(/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d))
	23.8b	(/.f64 (+.f64 (-.f64 (.f64 c b) (.f64 a d)) (.f64 2 (.f64 2 (fma.f64 (neg.f64 d) a (.f64 a d))))) (+.f64 (.f64 c c) (*.f64 d d)))
	51.8b	(/.f64 (*.f64 (/.f64 c d) b) d)
	51.9b	(/.f64 (*.f64 (/.f64 b d) c) d)
	39.6b	(/.f64 (.f64 d (neg.f64 a)) (+.f64 (.f64 d d) (*.f64 c c)))
	54.0b	(/.f64 (.f64 c b) (.f64 d d))
✓	45.5b	(/.f64 (.f64 c b) (.f64 c c))
	49.3b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
	45.6b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	59.2b	(/.f64 (neg.f64 b) d)
	56.4b	(/.f64 (neg.f64 b) c)
✓	39.5b	(/.f64 (neg.f64 a) d)
	59.0b	(/.f64 b d)
✓	37.5b	(/.f64 b c)
✓	57.8b	(/.f64 a d)
	50.6b	(-.f64 (/.f64 (neg.f64 a) (/.f64 c (/.f64 d c))) (/.f64 b c))
	60.9b	(-.f64 (/.f64 b d) (/.f64 a c))
	31.0b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	35.5b	(-.f64 (/.f64 b c) (.f64 (/.f64 a (.f64 c c)) d))
	61.0b	(-.f64 (/.f64 a c) (/.f64 b d))
	36.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	53.5b	(.f64 (/.f64 c (.f64 d d)) b)
	52.1b	(*.f64 (/.f64 c d) (/.f64 b d))
	42.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 b (.f64 (/.f64 d c) a)))
	51.8b	(.f64 (/.f64 1 d) (.f64 b (/.f64 c d)))
	59.2b	(*.f64 (/.f64 1 d) (neg.f64 b))
	37.5b	(*.f64 (/.f64 1 c) b)
	59.0b	(*.f64 (/.f64 -1 d) (neg.f64 b))
	44.5b	(*.f64 c (/.f64 1 (/.f64 c (/.f64 b c))))

Compiler

Compiled 503 to 320 computations (36.4% saved)

regimes207.0ms (1%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

5 calls:

59.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
37.0ms	c
34.0ms	b
33.0ms	a
29.0ms	d

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`
0.7b	1	`c`
0.7b	1	`d`
0.7b	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 761 to 232 computations (69.5% saved)

regimes1.2s (6%)

Counts

64 → 7

Calls

Call 1

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

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

Calls

5 calls:

599.0ms	d
230.0ms	b
222.0ms	a
134.0ms	c
40.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
6.4b	5	`a`
10.4b	4	`b`
8.9b	3	`c`
5.5b	7	`d`
6.3b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 721 to 218 computations (69.8% saved)

bsearch186.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
27.0ms	3.0387986052126784e+91	4.6084601232749914e+98
32.0ms	6.190310843602038e+45	1.3955391301304792e+61
17.0ms	1.9574709594413803e+32	2.1688903471202555e+36
50.0ms	4.051963862447661e-116	1.0597183023065127e-110
23.0ms	-2.5194420674656117e-101	-2.2350288467284426e-111
37.0ms	-1.3710852974865308e+188	-4.822478976930929e+160

Results

167.0ms	912×	body	256	valid
4.0ms	20×	body	256	infinite

Compiler

Compiled 2252 to 1363 computations (39.5% saved)

regimes1.1s (5.1%)

Counts

62 → 9

Calls

Call 1

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

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

Calls

5 calls:

437.0ms	d
184.0ms	c
174.0ms	a
128.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
114.0ms	b

Results

Error	Segments	Branch
9.6b	6	`a`
14.8b	4	`b`
9.2b	5	`c`
6.6b	9	`d`
9.8b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 681 to 206 computations (69.8% saved)

bsearch158.0ms (0.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
11.0ms	4.307399394861546e+145	1.2465270245816713e+146
21.0ms	3.0387986052126784e+91	4.6084601232749914e+98
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
29.0ms	6.190310843602038e+45	1.3955391301304792e+61
20.0ms	1.9574709594413803e+32	2.1688903471202555e+36
22.0ms	2.2495051456307587e-121	4.051963862447661e-116
27.0ms	-2.5194420674656117e-101	-2.2350288467284426e-111
18.0ms	-4.822478976930929e+160	-2.2140611138968384e+157

Results

139.0ms	1024×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 2316 to 1388 computations (40.1% saved)

regimes1.1s (5.5%)

Counts

59 → 6

Calls

Call 1

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

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

Calls

5 calls:

299.0ms	d
279.0ms	a
258.0ms	c
171.0ms	b
103.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
15.0b	7	`a`
18.4b	6	`b`
10.5b	5	`c`
8.1b	6	`d`
11.7b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 639 to 191 computations (70.1% saved)

bsearch220.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
37.0ms	3.0387986052126784e+91	4.6084601232749914e+98
17.0ms	1.2384098475583388e+68	3.2032864674341777e+68
61.0ms	2.2495051456307587e-121	4.051963862447661e-116
74.0ms	-2.5194420674656117e-101	-2.2350288467284426e-111
29.0ms	-4.822478976930929e+160	-2.2140611138968384e+157

Results

170.0ms	656×	body	256	valid
32.0ms	28×	body	256	infinite

Compiler

Compiled 1482 to 925 computations (37.6% saved)

regimes1.8s (9%)

Counts

53 → 6

Calls

Call 1

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

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

Calls

5 calls:

481.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
344.0ms	a
342.0ms	c
317.0ms	d
316.0ms	b

Results

Error	Segments	Branch
18.3b	6	`a`
19.6b	6	`b`
10.5b	5	`c`
8.1b	6	`d`
13.6b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 542 to 163 computations (69.9% saved)

bsearch152.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
32.0ms	3.0387986052126784e+91	4.6084601232749914e+98
16.0ms	1.2384098475583388e+68	3.2032864674341777e+68
34.0ms	2.2495051456307587e-121	4.051963862447661e-116
37.0ms	-2.5194420674656117e-101	-2.2350288467284426e-111
32.0ms	-4.822478976930929e+160	-2.2140611138968384e+157

Results

132.0ms	656×	body	256	valid
5.0ms	25×	body	256	infinite

Compiler

Compiled 1496 to 939 computations (37.2% saved)

regimes1.1s (5.2%)

Counts

52 → 6

Calls

Call 1

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

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

Calls

5 calls:

247.0ms	b
237.0ms	d
228.0ms	a
201.0ms	c
134.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
18.3b	6	`a`
19.6b	6	`b`
10.5b	5	`c`
8.1b	6	`d`
13.6b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 528 to 160 computations (69.7% saved)

bsearch137.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	3.548538088484517e+103	6.411144495438748e+109
15.0ms	1.2384098475583388e+68	3.2032864674341777e+68
32.0ms	2.2495051456307587e-121	4.051963862447661e-116
36.0ms	-2.5194420674656117e-101	-2.2350288467284426e-111
34.0ms	-4.822478976930929e+160	-2.2140611138968384e+157

Results

109.0ms	656×	body	256	valid
5.0ms	26×	body	256	infinite

Compiler

Compiled 1451 to 903 computations (37.8% saved)

regimes482.0ms (2.3%)

Counts

49 → 6

Calls

Call 1

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

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

Calls

5 calls:

118.0ms	d
116.0ms	a
96.0ms	c
80.0ms	b
62.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
18.8b	6	`a`
20.8b	4	`b`
10.5b	5	`c`
8.6b	6	`d`
13.6b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 491 to 146 computations (70.3% saved)

bsearch81.0ms (0.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
20.0ms	2.2495051456307587e-121	4.051963862447661e-116
16.0ms	-5.123017323046535e-142	-2.35690561898731e-143
16.0ms	-4.822478976930929e+160	-2.2140611138968384e+157

Results

70.0ms	608×	body	256	valid
3.0ms	24×	body	256	infinite

Compiler

Compiled 1324 to 818 computations (38.2% saved)

regimes549.0ms (2.7%)

Counts

40 → 7

Calls

Call 1

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

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

Calls

4 calls:

186.0ms	a
185.0ms	b
107.0ms	d
63.0ms	c

Results

Error	Segments	Branch
18.8b	11	`a`
19.7b	12	`b`
15.4b	3	`c`
12.2b	7	`d`

Compiler

Compiled 355 to 113 computations (68.2% saved)

bsearch99.0ms (0.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
21.0ms	4.148024952626438e-53	1.797433010309175e-42
18.0ms	-2.10395057306169e-42	-1.3779641123637106e-51
17.0ms	-1356167298062.6897	-1221224416.012582
15.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

87.0ms	768×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 1517 to 965 computations (36.4% saved)

regimes456.0ms (2.2%)

Counts

35 → 7

Calls

Call 1

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

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

Calls

4 calls:

164.0ms	a
135.0ms	b
95.0ms	d
56.0ms	c

Results

Error	Segments	Branch
18.8b	11	`a`
21.3b	10	`b`
15.4b	3	`c`
12.4b	7	`d`

Compiler

Compiled 295 to 100 computations (66.1% saved)

bsearch99.0ms (0.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
21.0ms	4.148024952626438e-53	1.797433010309175e-42
19.0ms	-2.10395057306169e-42	-1.3779641123637106e-51
16.0ms	-1356167298062.6897	-1221224416.012582
15.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

87.0ms	768×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1510 to 951 computations (37% saved)

regimes338.0ms (1.6%)

Counts

30 → 9

Calls

Call 1

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

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

Calls

4 calls:

117.0ms	b
107.0ms	d
60.0ms	a
49.0ms	c

Results

Error	Segments	Branch
23.3b	5	`a`
23.6b	9	`b`
17.6b	3	`c`
14.2b	9	`d`

Compiler

Compiled 240 to 88 computations (63.3% saved)

bsearch142.0ms (0.7%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
18.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
21.0ms	4.148024952626438e-53	1.797433010309175e-42
21.0ms	2.408449385036766e-195	4.020443102407351e-186
20.0ms	-1.1289907212231352e-183	-1.381621459178409e-190
20.0ms	-2.10395057306169e-42	-1.3779641123637106e-51
17.0ms	-1356167298062.6897	-1221224416.012582
14.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

121.0ms	1056×	body	256	valid
6.0ms	48×	body	256	infinite

Compiler

Compiled 1830 to 1183 computations (35.4% saved)

regimes329.0ms (1.6%)

Counts

29 → 7

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	b
80.0ms	d
59.0ms	c
58.0ms	a

Results

Error	Segments	Branch
23.3b	5	`a`
25.5b	9	`b`
19.5b	4	`c`
16.6b	7	`d`

Compiler

Compiled 229 to 85 computations (62.9% saved)

bsearch94.0ms (0.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	3.548538088484517e+103	6.411144495438748e+109
11.0ms	1.2384098475583388e+68	3.2032864674341777e+68
16.0ms	1.6670966385421162e-56	4.148024952626438e-53
19.0ms	-2.10395057306169e-42	-1.3779641123637106e-51
16.0ms	-1356167298062.6897	-1221224416.012582
14.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

83.0ms	736×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1078 to 727 computations (32.6% saved)

regimes303.0ms (1.5%)

Counts

26 → 7

Calls

Call 1

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

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

Calls

4 calls:

115.0ms	b
76.0ms	d
55.0ms	c
53.0ms	a

Results

Error	Segments	Branch
23.5b	5	`a`
25.5b	9	`b`
19.5b	4	`c`
16.7b	7	`d`

Compiler

Compiled 196 to 82 computations (58.2% saved)

bsearch94.0ms (0.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
17.0ms	1.6670966385421162e-56	4.148024952626438e-53
19.0ms	-2.10395057306169e-42	-1.3779641123637106e-51
16.0ms	-1356167298062.6897	-1221224416.012582
14.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

84.0ms	736×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 1038 to 707 computations (31.9% saved)

regimes306.0ms (1.5%)

Counts

24 → 7

Calls

Call 1

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

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

Calls

4 calls:

99.0ms	b
70.0ms	d
70.0ms	a
62.0ms	c

Results

Error	Segments	Branch
25.1b	7	`a`
25.7b	9	`b`
19.8b	5	`c`
16.7b	7	`d`

Compiler

Compiled 176 to 76 computations (56.8% saved)

bsearch87.0ms (0.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	1.2384098475583388e+68	3.2032864674341777e+68
16.0ms	1.6670966385421162e-56	4.148024952626438e-53
12.0ms	-1.7988856142214176e-28	-3.25201102721312e-29
16.0ms	-1356167298062.6897	-1221224416.012582
15.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

78.0ms	688×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 972 to 662 computations (31.9% saved)

regimes288.0ms (1.4%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

4 calls:

114.0ms	b
68.0ms	a
52.0ms	d
49.0ms	c

Results

Error	Segments	Branch
27.0b	7	`a`
27.7b	12	`b`
24.4b	5	`c`
21.4b	5	`d`

Compiler

Compiled 167 to 73 computations (56.3% saved)

bsearch61.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	3.548538088484517e+103	6.411144495438748e+109
10.0ms	40685370.09818929	123354909.13854298
19.0ms	1.6670966385421162e-56	4.148024952626438e-53
14.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

54.0ms	464×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 519 to 394 computations (24.1% saved)

regimes24.0ms (0.1%)

Accuracy

Total -26.3b remaining (-73.9%)

Threshold costs -26.3b (-73.9%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	c
7.0ms	d
4.0ms	a
3.0ms	b

Results

Error	Segments	Branch
37.5b	1	`a`
37.5b	1	`b`
36.1b	3	`c`
35.6b	2	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-3.632242749203248e+133	-3.7757202481326464e+124

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 170 to 125 computations (26.5% saved)

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
52×	`+-commutative`
36×	`if-not`
32×	`sub-neg`
24×	`not-or`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	236	3212
1	289	3196
2	347	3174
3	381	3162
4	403	3144
5	419	3140
6	427	3140
7	440	3140
8	442	3140
9	443	3140

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
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(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -5618975734717113/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1760312535403423/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 224999999999999983719201705960669184) (/.f64 (fma.f64 c b (.f64 a (neg.f64 d))) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 11000000000000000178068129441063114541765754880) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 46000000000000000052538753202645274098892945626462991835115486212899706070003103607653180470830222889959512291104303552964792895288604316512813056) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -6874982075418585/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -7276904104443057/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7268387242956069/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7665877170305229/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 42000000000000003263327066623490596715516503484791441111337112716199323235536979866592698974757176999936) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -7963165285751507/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (.f64 (/.f64 1 d) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b)))) (if (<=.f64 d -17000000000) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d -7582485000136117/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 d 2746232009231673/1569275433846670190958947355801916604025588861116008628224) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 174999999999999988747758540738102735228543222464560348172887993090048) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d -51000000000) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d -5649391561848013/3138550867693340381917894711603833208051177722232017256448) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 d 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d -750000000000) (-.f64 (/.f64 b c) (.f64 (/.f64 a (.f64 c c)) d)) (if (<=.f64 d -8034690221294951/803469022129495137770981046170581301261101496891396417650688) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 d -4702927978231049/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (-.f64 (/.f64 b c) (.f64 (/.f64 a (.f64 c c)) d)) (if (<=.f64 d 2407899124854297/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704) (/.f64 b c) (if (<=.f64 d 2746232009231673/1569275433846670190958947355801916604025588861116008628224) (-.f64 (/.f64 b c) (.f64 (/.f64 a (.f64 c c)) d)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (/.f64 b c) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d)))))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d -850000000000) (/.f64 b c) (if (<=.f64 d -5963246648617347/6277101735386680763835789423207666416102355444464034512896) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 d 5866484394771979/1725436586697640946858688965569256363112777243042596638790631055949824) (/.f64 b c) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (/.f64 b c) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d)))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -490000000000) (/.f64 b c) (if (<=.f64 d -7532522082464017/25108406941546723055343157692830665664409421777856138051584) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 d 4831222442753395/1725436586697640946858688965569256363112777243042596638790631055949824) (/.f64 b c) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (/.f64 b c) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d)))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -40000000000) (/.f64 b c) (if (<=.f64 d -1895563341875103/11150372599265311570767859136324180752990208) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d 6686066773453359/431359146674410236714672241392314090778194310760649159697657763987456) (/.f64 b c) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (/.f64 b c) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d)))))))
(if (<=.f64 d -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (/.f64 (neg.f64 a) d) (if (<=.f64 d 4421431253412705/107839786668602559178668060348078522694548577690162289924414440996864) (/.f64 b c) (if (<=.f64 d 100000000) (/.f64 (neg.f64 a) d) (if (<=.f64 d 36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960) (/.f64 b c) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d -140000000000000003444380179897916224389610051014781544287341624168327281386979157577632623337781093221456266030806074478293883551744) (/.f64 a d) (/.f64 b c))
(/.f64 a d)

Outputs
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 c (/.f64 b (hypot.f64 c d))) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
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(if (<=.f64 d -400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -3384606560206073/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (if (<=.f64 d 7807837858644215/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 2100000000000000044811152708534796288) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (if (<=.f64 d 3600000000000000243737920361401369924401341047231981027328) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (if (<=.f64 d 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))))))))
(if (<=.f64 d -400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -3384606560206073/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (if (<=.f64 d 7807837858644215/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 2100000000000000044811152708534796288) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (if (<=.f64 d 3600000000000000243737920361401369924401341047231981027328) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (if (<=.f64 d 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 c (/.f64 d b)) a))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -5618975734717113/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1760312535403423/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 224999999999999983719201705960669184) (/.f64 (fma.f64 c b (.f64 a (neg.f64 d))) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 11000000000000000178068129441063114541765754880) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 46000000000000000052538753202645274098892945626462991835115486212899706070003103607653180470830222889959512291104303552964792895288604316512813056) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -5618975734717113/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1760312535403423/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 224999999999999983719201705960669184) (/.f64 (fma.f64 c b (.f64 a (neg.f64 d))) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 11000000000000000178068129441063114541765754880) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 46000000000000000052538753202645274098892945626462991835115486212899706070003103607653180470830222889959512291104303552964792895288604316512813056) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -5618975734717113/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1760312535403423/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 224999999999999983719201705960669184) (/.f64 (fma.f64 c b (.f64 d (neg.f64 a))) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 11000000000000000178068129441063114541765754880) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 46000000000000000052538753202645274098892945626462991835115486212899706070003103607653180470830222889959512291104303552964792895288604316512813056) (/.f64 (-.f64 b (/.f64 a (/.f64 (hypot.f64 c d) d))) (hypot.f64 c d)) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -6874982075418585/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -6874982075418585/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b)))))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -6874982075418585/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 c (/.f64 d b)) a)))))))
(if (<=.f64 d -22499999999999999244508733938318593145284495597906965761055749613327928204910848928939241144886451264560787641130497603298465487427621012585984764669216161792) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -7276904104443057/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7268387242956069/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (if (<=.f64 d 319999999999999994475768250853939146151673052018589832914468708810752) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b)))))))))
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(/.f64 a d)

Compiler

Compiled 1233 to 561 computations (54.5% saved)

soundness0.0ms (0%)

end215.0ms (1%)

Compiler: Compiled 1173 to 324 computations (72.4% saved)