Details

analyze431.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.2s (5.9%)

Results

1.1s	8256×	body	256	valid
62.0ms	481×	body	256	invalid

preprocess99.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

905×	`fma-def_binary64`
780×	`div-sub_binary64`
532×	`associate-/l*_binary64`
381×	`fma-neg_binary64`
347×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	140
1	122	140
2	243	140
3	398	140
4	872	140
5	1697	140
6	3115	140
7	5740	140
8	6935	140
9	7987	140
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 (fma.f64 d (neg.f64 a) (.f64 b c)) (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 d (neg.f64 b) (.f64 c a)) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 c a (.f64 b (neg.f64 d))) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 b (neg.f64 d) (.f64 c a)) (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 (-.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 (fma.f64 d (neg.f64 a) (.f64 b c)) (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 (fma.f64 d (neg.f64 a) (.f64 b c)) (fma.f64 b b (.f64 d d)))
(/.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 b (neg.f64 a) (.f64 c d)) (fma.f64 b b (.f64 c c)))
(/.f64 (fma.f64 a (neg.f64 b) (.f64 c d)) (fma.f64 b b (.f64 c c)))
(/.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 b d (.f64 a (neg.f64 c))) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-def_binary64`
768×	`times-frac_binary64`
750×	`fma-neg_binary64`
543×	`cancel-sign-sub-inv_binary64`
441×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	25	20
2	51	20
3	82	20
4	166	20
5	297	20
6	488	20
7	739	20
8	1200	20
9	1804	20
10	2775	20
11	5078	20

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)))

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

eval1.0ms (0%)

Compiler: Compiled 33 to 15 computations (54.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

27.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.6b	(/.f64 (fma.f64 d (neg.f64 a) (.f64 b c)) (fma.f64 c c (.f64 d d)))
▶	27.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	1.2b	(-.f64 (.f64 b c) (.f64 a d))
✓	27.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series25.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	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)))
1.0ms	a	@	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)))

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`log-prod_binary64`
602×	`fma-def_binary64`
306×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	278	36
2	4181	36

Stop Event

1×	node limit

Counts

3 → 292

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-*l/_binary64`
636×	`fma-neg_binary64`
630×	`associate-l_binary64`
572×	`cancel-sign-sub-inv_binary64`
468×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1992
1	146	1806
2	477	1767
3	2345	1728

Stop Event

1×	node limit

Counts

412 → 323

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)
(+.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)))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
✓	0.8b	(fma.f64 d (neg.f64 a) (*.f64 b c))
✓	27.2b	(/.f64 (fma.f64 d (neg.f64 a) (.f64 b c)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 43 to 10 computations (76.7% saved)

series14.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
286×	`prod-diff_binary64`
274×	`pow2_binary64`
192×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	226	32
2	2907	32

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

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

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

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

689×	`associate-*l/_binary64`
639×	`associate-l_binary64`
636×	`fma-neg_binary64`
572×	`cancel-sign-sub-inv_binary64`
470×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1992
1	146	1806
2	477	1767
3	2341	1728

Stop Event

1×	node limit

Counts

232 → 145

Calls

Call 1

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

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

eval140.0ms (0.7%)

Compiler: Compiled 10280 to 2746 computations (73.3% saved)

prune111.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	452	16	468
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	453	17	470

Error

0.8b

Counts

470 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	41.0b	(/.f64 (.f64 d (neg.f64 a)) (fma.f64 c c (.f64 d d)))
	33.5b	(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
	46.3b	(/.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))))
	35.4b	(-.f64 (/.f64 b c) (.f64 (/.f64 d (.f64 c c)) (+.f64 (*.f64 d (/.f64 b c)) a)))
	41.0b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
▶	17.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
▶	34.5b	(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
	46.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
▶	39.0b	(/.f64 b c)
	44.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	35.8b	(-.f64 (/.f64 b c) (.f64 d (/.f64 a (.f64 c c))))
	40.5b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	14.8b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
	40.4b	(/.f64 (neg.f64 a) d)
▶	41.0b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	27.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
	35.2b	(-.f64 (.f64 (/.f64 c (.f64 d d)) (+.f64 b (*.f64 c (/.f64 a d)))) (/.f64 a d))

Compiler

Compiled 557 to 331 computations (40.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 c d))
✓	0.0b	(/.f64 c (hypot.f64 c d))
✓	0.5b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
✓	19.7b	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))

Compiler

Compiled 70 to 23 computations (67.1% saved)

series64.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
34.0ms	c	@	0	(/.f64 b (hypot.f64 c d))
3.0ms	c	@	0	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
2.0ms	d	@	inf	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))
2.0ms	a	@	0	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))
2.0ms	c	@	inf	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))

rewrite263.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
598×	`prod-diff_binary64`
334×	`egg-rr`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	304	55
2	4113	53

Stop Event

1×	node limit

Counts

4 → 465

Calls

Call 1

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

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

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

410×	`fma-def_binary64`
397×	`distribute-rgt-in_binary64`
387×	`distribute-lft-in_binary64`
262×	`distribute-rgt-neg-in_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4416
1	1117	3955
2	4577	3716

Stop Event

1×	node limit

Counts

609 → 584

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 a c) c)
✓	1.8b	(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
✓	6.6b	(*.f64 d (/.f64 (/.f64 a c) c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
319×	`pow2_binary64`
281×	`fma-def_binary64`
230×	`log-div_binary64`
225×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	228	30
2	3533	30

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-def_binary64`
697×	`div-sub_binary64`
575×	`times-frac_binary64`
321×	`associate-/l*_binary64`
308×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	1236
1	28	1200
2	67	1200
3	202	1200
4	734	1200
5	3395	1200
6	4607	1200
7	6114	1200
8	7203	1200

Stop Event

1×	node limit

Counts

309 → 210

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	19.7b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`prod-diff_binary64`
527×	`log-prod_binary64`
253×	`pow2_binary64`
220×	`pow-unpow_binary64`
193×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	221	13
2	3339	13

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
657×	`associate-l_binary64`
523×	`associate-*l/_binary64`
430×	`associate-/l/_binary64`
428×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	984
1	151	912
2	479	873
3	2218	843

Stop Event

1×	node limit

Counts

89 → 71

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	1.2b	(-.f64 (.f64 b c) (.f64 a d))
✓	16.3b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series25.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	d	@	0	(/.f64 1 (hypot.f64 c d))
3.0ms	d	@	inf	(/.f64 1 (hypot.f64 c d))
1.0ms	b	@	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))
1.0ms	b	@	-inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))
1.0ms	b	@	inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`log-prod_binary64`
514×	`fma-def_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	290	42
2	4171	42

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

987×	`times-frac_binary64`
935×	`fma-def_binary64`
799×	`associate-/l*_binary64`
602×	`associate-l_binary64`
520×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	3501
1	601	2952
2	2203	2843

Stop Event

1×	node limit

Counts

340 → 311

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

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

eval1.1s (5.4%)

Compiler: Compiled 49752 to 18811 computations (62.2% saved)

prune309.0ms (1.6%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1399	18	1417
Fresh	5	6	11
Picked	1	0	1
Done	2	3	5
Total	1407	27	1434

Error

Counts

1434 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	41.0b	(/.f64 (.f64 d (neg.f64 a)) (fma.f64 c c (.f64 d d)))
▶	33.5b	(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
	52.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 c c))
	47.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
✓	39.0b	(/.f64 b c)
	32.6b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	35.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c b) (hypot.f64 c d)))
	44.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	41.0b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	44.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 b (.f64 (/.f64 a c) d)))
	49.4b	(.f64 (/.f64 1 c) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
▶	17.4b	(/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d))
	53.2b	(.f64 d (/.f64 (neg.f64 a) (.f64 c c)))
	43.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 a (/.f64 c (/.f64 d b))))
▶	40.4b	(/.f64 (neg.f64 a) d)
	31.8b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
	31.5b	(-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))
	50.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
✓	41.0b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
	53.0b	(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
✓	27.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
	36.0b	(+.f64 (fma.f64 (.f64 (/.f64 c (hypot.f64 d c)) (sqrt.f64 (/.f64 b (hypot.f64 d c)))) (sqrt.f64 (/.f64 b (hypot.f64 d c))) (neg.f64 (.f64 (.f64 d (pow.f64 (hypot.f64 d c) -2)) a))) (fma.f64 (neg.f64 (.f64 d (pow.f64 (hypot.f64 d c) -2))) a (.f64 (.f64 d (pow.f64 (hypot.f64 d c) -2)) a)))
	24.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
	31.5b	(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)
▶	45.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 (.f64 a d) c) (*.f64 -1 b)))
	40.5b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	35.2b	(-.f64 (.f64 (/.f64 c (.f64 d d)) (+.f64 b (*.f64 c (/.f64 a d)))) (/.f64 a d))

Compiler

Compiled 852 to 512 computations (39.9% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d))
	1.2b	(-.f64 (.f64 b c) (.f64 a d))
	16.3b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 50 to 10 computations (80% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
441×	`fma-def_binary64`
348×	`pow2_binary64`
242×	`pow1/3_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	254	19
2	3812	19

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-*l/_binary64`
630×	`fma-neg_binary64`
616×	`associate-l_binary64`
564×	`cancel-sign-sub-inv_binary64`
458×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1368
1	140	1218
2	456	1179
3	2250	1140

Stop Event

1×	node limit

Counts

95 → 68

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))))))

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

localize5.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 b d) d)
✓	3.4b	(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
✓	7.5b	(*.f64 c (/.f64 (/.f64 b d) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary64`
316×	`pow2_binary64`
295×	`fma-def_binary64`
227×	`log-div_binary64`
225×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	226	30
2	3460	30

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

810×	`distribute-neg-frac_binary64`
795×	`times-frac_binary64`
610×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`
433×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	1236
1	28	1200
2	55	1200
3	117	1200
4	322	1200
5	1189	1200
6	5247	1200

Stop Event

1×	node limit

Counts

318 → 218

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))
(/.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 -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))
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(+.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 b (pow.f64 d 2))
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(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
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(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))
(/.f64 b (pow.f64 d 2))

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.3b	(*.f64 c (/.f64 a d))
✓	4.2b	(.f64 (/.f64 c (.f64 d d)) (+.f64 b (*.f64 c (/.f64 a d))))
✓	6.4b	(/.f64 c (*.f64 d d))
✓	7.2b	(-.f64 (.f64 (/.f64 c (.f64 d d)) (+.f64 b (*.f64 c (/.f64 a d)))) (/.f64 a d))

Compiler

Compiled 61 to 11 computations (82% saved)

series40.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

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

rewrite214.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`log-prod_binary64`
624×	`fma-def_binary64`
309×	`fma-neg_binary64`
284×	`log-div_binary64`
265×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	283	54
2	4670	54

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

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

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-neg-frac_binary64`
688×	`fma-neg_binary64`
655×	`distribute-rgt-neg-in_binary64`
620×	`times-frac_binary64`
399×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	2658
1	98	2655
2	233	2517
3	891	2235
4	5246	2235

Stop Event

1×	node limit

Counts

462 → 329

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 a d) c) (.f64 -1 b))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	5.0b	(/.f64 (*.f64 a d) c)
✓	5.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 (.f64 a d) c) (*.f64 -1 b)))

Compiler

Compiled 53 to 22 computations (58.5% saved)

series21.0ms (0.1%)

Counts

3 → 60

Calls

33 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`log-prod_binary64`
253×	`pow1/3_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
229×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	297	33
2	4390	29

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/r/_binary64`
548×	`distribute-neg-frac_binary64`
543×	`associate-/l/_binary64`
422×	`fma-neg_binary64`
354×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1573
1	209	1208
2	677	1164
3	3030	1161
4	6340	1161

Stop Event

1×	node limit

Counts

297 → 276

Calls

Call 1

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

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

eval453.0ms (2.3%)

Compiler: Compiled 31115 to 9726 computations (68.7% saved)

prune343.0ms (1.7%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1291	15	1306
Fresh	8	11	19
Picked	1	0	1
Done	2	5	7
Total	1302	31	1333

Error

Counts

1333 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.1b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	41.0b	(/.f64 (.f64 d (neg.f64 a)) (fma.f64 c c (.f64 d d)))
	52.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 c c))
✓	39.0b	(/.f64 b c)
	32.6b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	60.9b	(-.f64 (/.f64 b d) (/.f64 a c))
	33.6b	(-.f64 (/.f64 c (*.f64 d (/.f64 d b))) (/.f64 a d))
	59.3b	(/.f64 (neg.f64 a) c)
▶	59.4b	(/.f64 a c)
	40.5b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	41.0b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	49.4b	(.f64 (/.f64 1 c) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	44.2b	(/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) (hypot.f64 c d))
✓	17.4b	(/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d))
	50.7b	(.f64 c (/.f64 b (.f64 d d)))
	53.2b	(.f64 d (/.f64 (neg.f64 a) (.f64 c c)))
	47.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
✓	40.4b	(/.f64 (neg.f64 a) d)
▶	31.8b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
	50.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
✓	41.0b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	53.0b	(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
✓	27.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
	32.4b	(.f64 (/.f64 -1 c) (+.f64 (/.f64 (.f64 a d) c) (*.f64 -1 b)))
▶	24.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
	31.5b	(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)
	31.5b	(-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))
	33.9b	(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
	61.1b	(-.f64 (/.f64 a c) (/.f64 b d))
	34.9b	(/.f64 (/.f64 (*.f64 c b) (hypot.f64 c d)) (hypot.f64 c d))
	58.0b	(/.f64 (neg.f64 b) c)

Compiler

Compiled 759 to 480 computations (36.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 10 computations (76.7% saved)

series24.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
451×	`prod-diff_binary64`
300×	`pow2_binary64`
237×	`egg-rr`
211×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	238	19
2	3322	19

Stop Event

1×	node limit

Counts

1 → 237

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.f64 (/.f64 1 d)) a (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 -1 (/.f64 a d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 1 (/.f64 a d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (/.f64 a d) 1 (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 d a) -2))) (cbrt.f64 (/.f64 a d)) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (cbrt.f64 (pow.f64 (/.f64 d a) -2)) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (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 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.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 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.f64 a) (/.f64 1 d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (/.f64 a d) -1 (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a d))) (neg.f64 (sqrt.f64 (/.f64 a d))) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2)) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 a d) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) 2)) 1) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 c (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (neg.f64 (*.f64 (neg.f64 (/.f64 1 d)) a))) (fma.f64 (neg.f64 (neg.f64 (/.f64 1 d))) a (*.f64 (neg.f64 (/.f64 1 d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 (neg.f64 (/.f64 1 d)) a))) (fma.f64 (neg.f64 (neg.f64 (/.f64 1 d))) a (*.f64 (neg.f64 (/.f64 1 d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c 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simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
470×	`times-frac_binary64`
412×	`associate-l_binary64`
401×	`associate-r_binary64`
325×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1272
1	399	1119
2	1479	1036
3	7813	1034

Stop Event

1×	node limit

Counts

285 → 261

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

localize7.0ms (0%)

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

localize47.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.1b	(/.f64 (neg.f64 d) (*.f64 c c))
✓	7.5b	(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series11.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
746×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	17
2	2501	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def_binary64`
851×	`div-sub_binary64`
629×	`times-frac_binary64`
354×	`associate-/l*_binary64`
345×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	648
1	28	648
2	73	648
3	208	648
4	738	648
5	3501	648
6	4500	648
7	6021	648
8	6991	648

Stop Event

1×	node limit

Counts

120 → 64

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(*.f64 (/.f64 c d) (/.f64 b d))
✓	3.4b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series15.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
321×	`pow2_binary64`
314×	`fma-def_binary64`
248×	`log-div_binary64`
230×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	229	23
2	3627	23

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

789×	`times-frac_binary64`
784×	`distribute-neg-frac_binary64`
601×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`
429×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	1068
1	27	1032
2	53	1032
3	115	1032
4	322	1032
5	1175	1032
6	5224	1032

Stop Event

1×	node limit

Counts

288 → 210

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 (*.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 -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 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))

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 7 computations (61.1% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`pow1_binary64`
606×	`add-log-exp_binary64`
605×	`log1p-expm1-u_binary64`
605×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	149	7
2	2054	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def_binary64`
805×	`associate-l_binary64`
776×	`associate-r_binary64`
626×	`times-frac_binary64`
616×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1164
1	467	1122
2	1794	1034

Stop Event

1×	node limit

Counts

72 → 74

Calls

Call 1

Inputs
(.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 -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))))

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

eval372.0ms (1.9%)

Compiler: Compiled 22142 to 8441 computations (61.9% saved)

prune341.0ms (1.7%)

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	747	7	754
Fresh	4	17	21
Picked	0	1	1
Done	0	9	9
Total	751	34	785

Error

Counts

785 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.1b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	41.0b	(/.f64 (.f64 d (neg.f64 a)) (fma.f64 c c (.f64 d d)))
	52.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 c c))
	59.2b	(/.f64 (neg.f64 b) d)
	33.9b	(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
	58.2b	(/.f64 (/.f64 (*.f64 a d) c) c)
✓	39.0b	(/.f64 b c)
	32.6b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	59.0b	(/.f64 b d)
	31.8b	(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
	59.3b	(/.f64 (neg.f64 a) c)
✓	59.4b	(/.f64 a c)
	40.5b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	41.0b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	51.3b	(.f64 b (/.f64 c (.f64 d d)))
	49.4b	(.f64 (/.f64 1 c) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	44.2b	(/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) (hypot.f64 c d))
✓	17.4b	(/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d))
	50.7b	(.f64 c (/.f64 b (.f64 d d)))
	53.2b	(.f64 d (/.f64 (neg.f64 a) (.f64 c c)))
	47.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	58.0b	(/.f64 (neg.f64 b) c)
✓	40.4b	(/.f64 (neg.f64 a) d)
✓	31.8b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
	50.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
✓	41.0b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	53.0b	(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
✓	27.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
	32.4b	(.f64 (/.f64 -1 c) (+.f64 (/.f64 (.f64 a d) c) (*.f64 -1 b)))
✓	24.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
	31.5b	(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)
	31.5b	(-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))
	34.9b	(/.f64 (/.f64 (*.f64 c b) (hypot.f64 c d)) (hypot.f64 c d))
	51.2b	(.f64 a (.f64 (/.f64 -1 c) (/.f64 d c)))

Compiler

Compiled 440 to 280 computations (36.4% saved)

regimes1.4s (7.2%)

Counts

58 → 5

Calls

Call 1

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

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

Calls

5 calls:

526.0ms	a
282.0ms	b
251.0ms	d
225.0ms	c
97.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
11.0b	5	`a`
9.9b	3	`b`
7.4b	5	`c`
5.0b	5	`d`
5.7b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 690 to 208 computations (69.9% saved)

bsearch133.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	5.673336263870845e+150	5.707453494673183e+153
20.0ms	1.2306655640518177e-194	2.5710758927240647e-191
15.0ms	-2.3616687578410123e-222	-9.832728538513066e-237
74.0ms	-1.1469635874565826e+68	-1.3965388583038631e+65

Compiler

Compiled 108 to 68 computations (37% saved)

regimes1.3s (6.6%)

Counts

56 → 2

Calls

Call 1

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

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

Calls

5 calls:

414.0ms	d
381.0ms	c
192.0ms	b
135.0ms	a
111.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.8b	4	`a`
11.3b	3	`b`
7.9b	5	`c`
7.0b	5	`d`
5.7b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 620 to 182 computations (70.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0521018670689924e+247	1.5094221659164714e+280

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes1.1s (5.7%)

Counts

55 → 5

Calls

Call 1

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

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

Calls

5 calls:

460.0ms	c
360.0ms	b
175.0ms	d
75.0ms	a
39.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.1b	2	`a`
11.3b	7	`b`
8.0b	5	`c`
8.8b	5	`d`
9.2b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 605 to 178 computations (70.6% saved)

bsearch153.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	1.148732733672411e+97	1.9862603627028917e+104
39.0ms	2.0415742887118027e-65	2.2041451581984038e-63
38.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
41.0ms	-4.490116382232771e+114	-1.9673740714989925e+109

Compiler

Compiled 60 to 37 computations (38.3% saved)

regimes1.3s (6.8%)

Counts

49 → 8

Calls

Call 1

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

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

Calls

5 calls:

338.0ms	c
314.0ms	d
270.0ms	b
263.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
139.0ms	a

Results

Error	Segments	Branch
21.3b	5	`a`
17.6b	10	`b`
7.9b	8	`c`
12.7b	5	`d`
12.1b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 508 to 158 computations (68.9% saved)

bsearch168.0ms (0.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
23.0ms	1.148732733672411e+97	1.9862603627028917e+104
26.0ms	2.0415742887118027e-65	2.2041451581984038e-63
21.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
24.0ms	-2.2761489133332196e-8	-1.5437054288241175e-16
25.0ms	-4.567322487019083e+29	-3.995438488589496e+27
24.0ms	-1.544508827741849e+67	-6.584386246592124e+62
25.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes897.0ms (4.6%)

Counts

48 → 8

Calls

Call 1

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

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

Calls

5 calls:

294.0ms	c
238.0ms	b
149.0ms	d
132.0ms	a
71.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
21.3b	5	`a`
17.6b	10	`b`
7.9b	8	`c`
12.7b	5	`d`
12.1b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 494 to 156 computations (68.4% saved)

bsearch154.0ms (0.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
21.0ms	1.148732733672411e+97	1.9862603627028917e+104
22.0ms	2.0415742887118027e-65	2.2041451581984038e-63
21.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
23.0ms	-2.2761489133332196e-8	-1.5437054288241175e-16
22.0ms	-4.567322487019083e+29	-3.995438488589496e+27
23.0ms	-1.544508827741849e+67	-6.584386246592124e+62
22.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes886.0ms (4.5%)

Counts

40 → 8

Calls

Call 1

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

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

Calls

5 calls:

335.0ms	b
212.0ms	c
175.0ms	d
103.0ms	a
51.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
21.8b	5	`a`
16.3b	13	`b`
7.9b	8	`c`
11.5b	8	`d`
14.2b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 392 to 127 computations (67.6% saved)

bsearch160.0ms (0.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
22.0ms	1.148732733672411e+97	1.9862603627028917e+104
24.0ms	2.0415742887118027e-65	2.2041451581984038e-63
20.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
23.0ms	-2.2761489133332196e-8	-1.5437054288241175e-16
24.0ms	-4.567322487019083e+29	-3.995438488589496e+27
23.0ms	-1.544508827741849e+67	-6.584386246592124e+62
24.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes642.0ms (3.3%)

Counts

34 → 9

Calls

Call 1

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

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

Calls

4 calls:

211.0ms	b
165.0ms	a
147.0ms	c
108.0ms	d

Results

Error	Segments	Branch
20.2b	10	`a`
17.9b	12	`b`
10.2b	9	`c`
14.4b	5	`d`

Compiler

Compiled 302 to 98 computations (67.5% saved)

bsearch188.0ms (1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
22.0ms	2.2168147847791367e+65	2.0142518985666746e+67
23.0ms	1.1675900956826687e+39	4.658505047036483e+48
29.0ms	317500939.7906411	8172508688335.212
20.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
21.0ms	-1.5659726218618048e-81	-5.94956307515738e-84
29.0ms	-4.567322487019083e+29	-3.995438488589496e+27
21.0ms	-1.544508827741849e+67	-6.584386246592124e+62
22.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes341.0ms (1.7%)

Counts

24 → 9

Calls

Call 1

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

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

Calls

4 calls:

98.0ms	b
93.0ms	c
89.0ms	a
55.0ms	d

Results

Error	Segments	Branch
20.9b	9	`a`
21.0b	10	`b`
10.2b	9	`c`
14.6b	5	`d`

Compiler

Compiled 189 to 74 computations (60.8% saved)

bsearch166.0ms (0.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
21.0ms	2.2168147847791367e+65	2.0142518985666746e+67
21.0ms	1.1675900956826687e+39	4.658505047036483e+48
21.0ms	317500939.7906411	8172508688335.212
19.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
21.0ms	-1.5659726218618048e-81	-5.94956307515738e-84
21.0ms	-4.567322487019083e+29	-3.995438488589496e+27
21.0ms	-1.544508827741849e+67	-6.584386246592124e+62
21.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes324.0ms (1.6%)

Counts

23 → 9

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	b
88.0ms	c
84.0ms	a
52.0ms	d

Results

Error	Segments	Branch
20.9b	9	`a`
21.0b	10	`b`
10.2b	9	`c`
14.6b	5	`d`

Compiler

Compiled 178 to 70 computations (60.7% saved)

bsearch170.0ms (0.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
21.0ms	2.2168147847791367e+65	2.0142518985666746e+67
21.0ms	1.1675900956826687e+39	4.658505047036483e+48
20.0ms	317500939.7906411	8172508688335.212
20.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
21.0ms	-1.5659726218618048e-81	-5.94956307515738e-84
21.0ms	-4.567322487019083e+29	-3.995438488589496e+27
22.0ms	-1.544508827741849e+67	-6.584386246592124e+62
25.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes310.0ms (1.6%)

Counts

22 → 9

Calls

Call 1

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

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

Calls

4 calls:

89.0ms	b
86.0ms	c
82.0ms	a
48.0ms	d

Results

Error	Segments	Branch
21.0b	9	`a`
21.0b	10	`b`
10.2b	9	`c`
14.6b	5	`d`

Compiler

Compiled 167 to 68 computations (59.3% saved)

bsearch166.0ms (0.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
21.0ms	2.2168147847791367e+65	2.0142518985666746e+67
21.0ms	1.1675900956826687e+39	4.658505047036483e+48
21.0ms	317500939.7906411	8172508688335.212
19.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
21.0ms	-1.5659726218618048e-81	-5.94956307515738e-84
21.0ms	-4.567322487019083e+29	-3.995438488589496e+27
21.0ms	-1.544508827741849e+67	-6.584386246592124e+62
21.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 54 to 35 computations (35.2% saved)

regimes290.0ms (1.5%)

Counts

20 → 5

Calls

Call 1

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

Outputs
(/.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)

Calls

4 calls:

92.0ms	b
78.0ms	a
63.0ms	d
52.0ms	c

Results

Error	Segments	Branch
25.4b	9	`a`
23.3b	10	`b`
16.9b	5	`c`
19.1b	7	`d`

Compiler

Compiled 147 to 60 computations (59.2% saved)

bsearch84.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	2.0142518985666746e+67	8.086662220418748e+70
22.0ms	-4.567322487019083e+29	-3.995438488589496e+27
21.0ms	-1.544508827741849e+67	-6.584386246592124e+62
21.0ms	-1.9673740714989925e+109	-7.516000507349578e+108

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes370.0ms (1.9%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

4 calls:

148.0ms	b
116.0ms	a
77.0ms	c
24.0ms	d

Results

Error	Segments	Branch
29.0b	7	`a`
27.6b	9	`b`
23.8b	5	`c`
26.4b	3	`d`

Compiler

Compiled 120 to 48 computations (60% saved)

bsearch249.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	2.0142518985666746e+67	8.086662220418748e+70
153.0ms	-9.181153175234406e-120	-1.8017596317361913e-121
37.0ms	-1.0450242346714168e-79	-3.6255875920409867e-81
37.0ms	-4.567322487019083e+29	-3.995438488589496e+27

Compiler

Compiled 145 to 108 computations (25.5% saved)

regimes22.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 b c)

Calls

4 calls:

5.0ms	d
5.0ms	c
5.0ms	a
5.0ms	b

Results

Error	Segments	Branch
39.0b	1	`a`
39.0b	1	`b`
39.0b	1	`c`
39.0b	1	`d`

Compiler

Compiled 49 to 28 computations (42.9% saved)

regimes16.0ms (0.1%)

Accuracy

Total -3.7b remaining (-6.4%)

Threshold costs -3.7b (-6.4%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	317500939.7906411	8172508688335.212

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

21×	`+-commutative_binary64`
20×	`*-commutative_binary64`
20×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	1668
1	212	1666
2	253	1666
3	272	1666
4	281	1666
5	282	1666

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 d -114696358745658257024606279781780193884777753758608503445412967874560) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d))) (if (<=.f64 d -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 2568425733177917/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (.f64 (/.f64 -1 c) (+.f64 (/.f64 (.f64 a d) c) (.f64 -1 b))) (if (<=.f64 d 5673336263870844664037142612176321628552396778301260877594566695868143102097354372946556125335298543298281575177911476881136488442027457484688835215360) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (.f64 a d) (pow.f64 (hypot.f64 c d) 2)))) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))))))
(if (<=.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d))))
(if (<=.f64 c -4490116382232771042054694187813452452680241881516503158688312840502173258861972469978971905460969542366970087735296) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 4841434157529649/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 11487327336724110328459504268722404806326498055877272771870449060019648272516926872831786815062016) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) (hypot.f64 c d))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c -6879237976540775/302231454903657293676544) (-.f64 (/.f64 c (.f64 d (/.f64 d b))) (/.f64 a d)) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4841434157529649/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 11487327336724110328459504268722404806326498055877272771870449060019648272516926872831786815062016) (/.f64 (fma.f64 d (neg.f64 a) (.f64 b c)) (fma.f64 c c (.f64 d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) (hypot.f64 c d)))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c -6879237976540775/302231454903657293676544) (-.f64 (/.f64 c (.f64 d (/.f64 d b))) (/.f64 a d)) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4841434157529649/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 11487327336724110328459504268722404806326498055877272771870449060019648272516926872831786815062016) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) (hypot.f64 c d)))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c -6879237976540775/302231454903657293676544) (-.f64 (/.f64 c (.f64 d (/.f64 d b))) (/.f64 a d)) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4841434157529649/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 11487327336724110328459504268722404806326498055877272771870449060019648272516926872831786815062016) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c))))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (-.f64 (/.f64 b c) (/.f64 a (.f64 (/.f64 c d) c))) (if (<=.f64 c -6689794437807785/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (-.f64 (.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (-.f64 (/.f64 b c) (.f64 (/.f64 a c) (/.f64 d c))) (if (<=.f64 c 5326781847070581/16777216) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 1167590095682668743669403248082089410560) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c 221681478477913674209780822890239547256079331288830041477238226944) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (-.f64 (/.f64 b c) (/.f64 a (.f64 (/.f64 c d) c))) (if (<=.f64 c -6689794437807785/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (-.f64 (/.f64 b c) (.f64 (/.f64 a c) (/.f64 d c))) (if (<=.f64 c 5326781847070581/16777216) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 1167590095682668743669403248082089410560) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c 221681478477913674209780822890239547256079331288830041477238226944) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (-.f64 (/.f64 b c) (.f64 (/.f64 a c) (/.f64 d c))) (if (<=.f64 c -6689794437807785/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (-.f64 (/.f64 b c) (.f64 (/.f64 a c) (/.f64 d c))) (if (<=.f64 c 5326781847070581/16777216) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 1167590095682668743669403248082089410560) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c 221681478477913674209780822890239547256079331288830041477238226944) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -6689794437807785/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c 5326781847070581/16777216) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d) (if (<=.f64 c 1167590095682668743669403248082089410560) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c 221681478477913674209780822890239547256079331288830041477238226944) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))))))
(if (<=.f64 c -19673740714989924998387884959597885955753535061351992748513348832194905376059703611362666247544169114512654336) (/.f64 b c) (if (<=.f64 c -15445088277418490049790344978089689577418900599062949744058617036800) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 c -456732248701908313605293473792) (/.f64 b c) (if (<=.f64 c 20142518985666746343421464556217096054992535328501130945839987949568) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (/.f64 b c)))))
(if (<=.f64 c -456732248701908313605293473792) (/.f64 b c) (if (<=.f64 c -1743873607407279/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (/.f64 (neg.f64 a) d) (if (<=.f64 c -3270774259330231/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (/.f64 b c) (if (<=.f64 c 20142518985666746343421464556217096054992535328501130945839987949568) (/.f64 (neg.f64 a) d) (/.f64 b c)))))
(/.f64 b c)
(if (<=.f64 c 5326781847070581/16777216) (/.f64 b d) (/.f64 a c))
(/.f64 b d)

Outputs
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(if (<=.f64 d -114696358745658257024606279781780193884777753758608503445412967874560) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 a) d)) (if (<=.f64 d -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 2568425733177917/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (.f64 (/.f64 -1 c) (+.f64 (/.f64 (.f64 d a) c) (neg.f64 b))) (if (<=.f64 d 5673336263870844664037142612176321628552396778301260877594566695868143102097354372946556125335298543298281575177911476881136488442027457484688835215360) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 (*.f64 d a)) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 a) d))))))
(if (<=.f64 d -114696358745658257024606279781780193884777753758608503445412967874560) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 a) d)) (if (<=.f64 d -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 2568425733177917/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (.f64 (/.f64 -1 c) (-.f64 (/.f64 (.f64 d a) c) b)) (if (<=.f64 d 5673336263870844664037142612176321628552396778301260877594566695868143102097354372946556125335298543298281575177911476881136488442027457484688835215360) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 d (neg.f64 a)) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 a) d))))))
(if (<=.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d))))
(if (<=.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 a) d)))
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(/.f64 b c)
(if (<=.f64 c 5326781847070581/16777216) (/.f64 b d) (/.f64 a c))
(/.f64 b d)

Compiler

Compiled 1199 to 487 computations (59.4% saved)

soundness0.0ms (0%)

end168.0ms (0.9%)

Compiler: Compiled 1143 to 272 computations (76.2% saved)