Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample2.2s (31.2%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

192×	`fma-def`
88×	`distribute-lft-in`
80×	`+-commutative`
50×	`*-commutative`
38×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	133
1	81	133
2	154	133
3	244	133
4	290	133
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def`
24×	`+-commutative`
18×	`distribute-lft-in`
14×	`*-commutative`
12×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	43	19
3	68	19
4	83	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.05%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.05%	(*.f64 a (+.f64 c (+.f64 b d)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 c (+.f64 b d))
✓	0.05%	(*.f64 a (+.f64 c (+.f64 b d)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`associate-*r/`
1102×	`*-commutative`
1054×	`distribute-lft-in`
984×	`associate-*l/`
256×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	205	32
2	3045	32

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

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

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

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-/r/`
872×	`+-commutative`
694×	`associate-+l+`
686×	`associate-+r+`
638×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	8221
1	1205	7951
2	5570	7951

Stop Event

1×	node limit

Counts

235 → 256

Calls

Call 1

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

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

eval64.0ms (0.9%)

Compiler: Compiled 5836 to 1858 computations (68.2% saved)

prune47.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	247	9	256
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	247	10	257

Error

Counts

257 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.42%	(/.f64 a (/.f64 1 (+.f64 c (+.f64 b d))))
▶	0.04%	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.05%	(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
	32.25%	(*.f64 (+.f64 d b) a)
▶	62.06%	(*.f64 d a)
	65.47%	(*.f64 c a)
▶	65.26%	(*.f64 b a)
✓	0.05%	(*.f64 a (+.f64 c (+.f64 b d)))
▶	31.25%	(*.f64 a (+.f64 c d))
	34.28%	(*.f64 a (+.f64 c b))

Compiler

Compiled 185 to 123 computations (33.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (+.f64 d b) a)
✓	0.04%	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 63

Calls

21 calls:

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

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`associate-*r/`
982×	`associate-*l/`
956×	`distribute-rgt-in`
924×	`distribute-lft-in`
370×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	221	32
2	3134	32

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

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

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

simplify119.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-/l*`
706×	`distribute-lft-neg-in`
672×	`+-commutative`
604×	`associate-r`
596×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	9290
1	1267	8766
2	5861	8766

Stop Event

1×	node limit

Counts

222 → 248

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.05%	(*.f64 a (+.f64 c d))

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2152	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-/r*`
808×	`associate-*r/`
712×	`associate-+r+`
610×	`associate-+l+`
576×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	894
1	229	888
2	924	886
3	3703	876

Stop Event

1×	node limit

Counts

60 → 37

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
	0.05%	(*.f64 a (+.f64 c d))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`associate-*r/`
1054×	`associate-*l/`
1030×	`distribute-rgt-in`
1000×	`distribute-lft-in`
408×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	227	19
2	3313	19

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/r/`
944×	`associate-/l/`
552×	`+-commutative`
514×	`associate-r`
472×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	281	6597
1	873	6391
2	4312	6391

Stop Event

1×	node limit

Counts

141 → 170

Calls

Call 1

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

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

eval138.0ms (2%)

Compiler: Compiled 13179 to 4071 computations (69.1% saved)

prune90.0ms (1.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	489	3	492
Fresh	0	4	4
Picked	1	0	1
Done	1	4	5
Total	491	11	502

Error

Counts

502 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.42%	(/.f64 a (/.f64 1 (+.f64 c (+.f64 b d))))
	31.25%	(+.f64 (.f64 c a) (.f64 a d))
▶	34.27%	(+.f64 (.f64 c a) (.f64 a b))
▶	32.25%	(*.f64 (+.f64 d b) a)
▶	0.05%	(*.f64 (+.f64 b (+.f64 d c)) a)
✓	62.06%	(*.f64 d a)
▶	65.47%	(*.f64 c a)
✓	65.26%	(*.f64 b a)
✓	0.05%	(*.f64 a (+.f64 c (+.f64 b d)))
✓	31.25%	(*.f64 a (+.f64 c d))
▶	34.28%	(*.f64 a (+.f64 c b))

Compiler

Compiled 176 to 117 computations (33.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 b (+.f64 d c))
✓	0.05%	(*.f64 (+.f64 b (+.f64 d c)) a)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
1016×	`*-commutative`
982×	`distribute-lft-in`
960×	`distribute-rgt-in`
868×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	199	32
2	2861	32

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/r/`
1308×	`associate-/l/`
764×	`+-commutative`
648×	`associate-+r+`
620×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	399	7716
1	1174	7478
2	5142	7478

Stop Event

1×	node limit

Counts

232 → 244

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.05%	(*.f64 a (+.f64 c b))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2152	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1556×	`associate-/r*`
822×	`associate-*r/`
710×	`associate-+r+`
610×	`associate-+l+`
582×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	738
1	229	732
2	927	730
3	3679	720

Stop Event

1×	node limit

Counts

48 → 35

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.02%	(*.f64 (+.f64 d b) a)

Compiler

Compiled 15 to 6 computations (60% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 c a) (.f64 a b))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	170	13
2	2284	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-/r*`
1312×	`associate-*r/`
1068×	`associate-*l/`
594×	`associate-/l/`
590×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1419
1	303	1333
2	1657	1333

Stop Event

1×	node limit

Counts

77 → 52

Calls

Call 1

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

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

eval89.0ms (1.3%)

Compiler: Compiled 7870 to 2484 computations (68.4% saved)

prune70.0ms (1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	415	11	426

Error

Counts

426 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.42%	(/.f64 a (/.f64 1 (+.f64 c (+.f64 b d))))
▶	31.25%	(+.f64 (.f64 c a) (.f64 a d))
✓	34.27%	(+.f64 (.f64 c a) (.f64 a b))
✓	32.25%	(*.f64 (+.f64 d b) a)
✓	0.05%	(*.f64 (+.f64 b (+.f64 d c)) a)
✓	62.06%	(*.f64 d a)
✓	65.47%	(*.f64 c a)
✓	65.26%	(*.f64 b a)
✓	0.05%	(*.f64 a (+.f64 c (+.f64 b d)))
✓	31.25%	(*.f64 a (+.f64 c d))
✓	34.28%	(*.f64 a (+.f64 c b))

Compiler

Compiled 105 to 70 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 (.f64 c a) (.f64 a d))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	170	13
2	2284	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-/r*`
1272×	`associate-*r/`
1070×	`associate-*l/`
628×	`distribute-lft-in`
592×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1302
1	294	1216
2	1623	1216

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(+.f64 c (+.f64 b d))
✓	0.04%	(/.f64 1 (+.f64 c (+.f64 b d)))
✓	0.41%	(/.f64 a (/.f64 1 (+.f64 c (+.f64 b d))))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series4.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	d	@	inf	(/.f64 1 (+.f64 c (+.f64 b d)))
0.0ms	c	@	0	(/.f64 1 (+.f64 c (+.f64 b d)))
0.0ms	b	@	0	(/.f64 1 (+.f64 c (+.f64 b d)))
0.0ms	d	@	0	(/.f64 1 (+.f64 c (+.f64 b d)))
0.0ms	c	@	inf	(/.f64 1 (+.f64 c (+.f64 b d)))

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`distribute-lft-in`
1256×	`associate-/r*`
882×	`associate-/l*`
614×	`associate-/r/`
292×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	246	38
2	3563	38

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

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c b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 d (+.f64 c b)))))))))

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-+r+`
926×	`+-commutative`
808×	`associate-+l+`
632×	`associate-r`
582×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	7177
1	1410	6859
2	5893	6859

Stop Event

1×	node limit

Counts

207 → 248

Calls

Call 1

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

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

eval588.0ms (8.4%)

Compiler: Compiled 9880 to 3910 computations (60.4% saved)

prune360.0ms (5.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	452	1	453
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	453	11	464

Error

Counts

464 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	31.48%	(/.f64 a (/.f64 1 (+.f64 c d)))
✓	31.25%	(+.f64 (.f64 c a) (.f64 a d))
✓	34.27%	(+.f64 (.f64 c a) (.f64 a b))
✓	32.25%	(*.f64 (+.f64 d b) a)
✓	0.05%	(*.f64 (+.f64 b (+.f64 d c)) a)
✓	62.06%	(*.f64 d a)
✓	65.47%	(*.f64 c a)
✓	65.26%	(*.f64 b a)
✓	0.05%	(*.f64 a (+.f64 c (+.f64 b d)))
✓	31.25%	(*.f64 a (+.f64 c d))
✓	34.28%	(*.f64 a (+.f64 c b))

Compiler

Compiled 103 to 69 computations (33% saved)

regimes102.0ms (1.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

39.0ms	a
18.0ms	c
9.0ms	(+.f64 (+.f64 b c) d)
8.0ms	(+.f64 b c)
8.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Error	Segments	Branch
0.04%	1	`a`
0.04%	1	`b`
0.04%	1	`c`
0.04%	1	`d`
0.04%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.04%	1	`(+.f64 (+.f64 b c) d)`
0.04%	1	`(+.f64 b c)`

Compiler

Compiled 144 to 68 computations (52.8% saved)

regimes77.0ms (1.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

29.0ms	a
8.0ms	(+.f64 (+.f64 b c) d)
8.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
8.0ms	c
7.0ms	(+.f64 b c)

Results

Error	Segments	Branch
0.05%	1	`a`
0.05%	1	`b`
0.05%	1	`c`
0.05%	1	`d`
0.05%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.05%	1	`(+.f64 (+.f64 b c) d)`
0.05%	1	`(+.f64 b c)`

Compiler

Compiled 126 to 64 computations (49.2% saved)

regimes82.0ms (1.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

34.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
9.0ms	(+.f64 b c)
8.0ms	b
8.0ms	c
7.0ms	(+.f64 (+.f64 b c) d)

Results

Error	Segments	Branch
0.05%	1	`a`
0.05%	1	`b`
0.05%	1	`c`
0.05%	1	`d`
0.05%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.05%	1	`(+.f64 (+.f64 b c) d)`
0.05%	1	`(+.f64 b c)`

Compiler

Compiled 117 to 63 computations (46.2% saved)

regimes138.0ms (2%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	d
49.0ms	a
23.0ms	b
9.0ms	c

Results

Error	Segments	Branch
19.06%	7	`a`
10.04%	5	`b`
11.31%	2	`c`
9.18%	4	`d`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch31.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.247703329055685e-128	4.3833419746662495e-128
13.0ms	1.4027833872632816e-160	4.650254654674747e-158
12.0ms	6.041285048696964e-172	2.202813640698541e-170

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 378 to 265 computations (29.9% saved)

regimes119.0ms (1.7%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	a
20.0ms	c
16.0ms	d
9.0ms	b

Results

Error	Segments	Branch
20.72%	8	`a`
11.7%	2	`b`
21.99%	4	`c`
9.66%	4	`d`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch34.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.6566944753183787e-113	4.9297340620512454e-113
14.0ms	1.4027833872632816e-160	4.650254654674747e-158
12.0ms	6.041285048696964e-172	2.202813640698541e-170

Results

29.0ms

320×

body

256

valid

Compiler

Compiled 418 to 293 computations (29.9% saved)

regimes101.0ms (1.5%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	b
33.0ms	a
12.0ms	d
7.0ms	c

Results

Error	Segments	Branch
26.26%	9	`a`
23.36%	6	`b`
26.08%	2	`c`
15.19%	2	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.310743994253019e-108	5.337512618040884e-108

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 72 to 52 computations (27.8% saved)

regimes653.0ms (9.4%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

4 calls:

300.0ms	b
300.0ms	a
31.0ms	c
21.0ms	d

Results

Error	Segments	Branch
45.15%	12	`a`
35.06%	8	`b`
33.67%	10	`c`
32.77%	7	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch102.0ms (1.5%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.6566944753183787e-113	4.9297340620512454e-113
42.0ms	1.320430417380623e-137	2.6541923038655987e-137
8.0ms	2.2827837912088504e-170	4.86439053253731e-170
27.0ms	6.087502432768736e-222	6.754446975216978e-221
11.0ms	2.0881511281937245e-246	1.1614239096847119e-244
7.0ms	1.3400728262973061e-255	1.799766550579374e-255

Results

97.0ms

496×

body

256

valid

Compiler

Compiled 514 to 385 computations (25.1% saved)

regimes139.0ms (2%)

Accuracy

Total -31.0b remaining (-105.7%)

Threshold costs -31b (-105.7%)

Counts

2 → 4

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 c a)

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

Calls

4 calls:

64.0ms	a
44.0ms	c
18.0ms	d
12.0ms	b

Results

Error	Segments	Branch
53.66%	9	`a`
45.83%	4	`b`
46.81%	4	`c`
56.17%	6	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch37.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.8865777970842342e-93	8.30608998374902e-93
11.0ms	4.7275297936177783e-110	9.07720195275605e-109
14.0ms	2.852088935751001e-150	1.909131703439749e-148

Results

33.0ms

320×

body

256

valid

Compiler

Compiled 338 to 253 computations (25.1% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
12×	`+-commutative`
8×	`not-or`
8×	`if-if-or-not`
4×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	415
1	94	409
2	100	409
3	106	401
4	108	401
5	110	401

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(*.f64 a (+.f64 c (+.f64 b d)))
(if (<=.f64 d 5982738351088065/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (.f64 a (+.f64 c b)) (if (<=.f64 d 5571859284386099/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (.f64 a (+.f64 c d)) (if (<=.f64 d 7804371375789981/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 a (+.f64 c b)) (.f64 (+.f64 d b) a))))
(if (<=.f64 d 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 a (+.f64 c b)) (if (<=.f64 d 7597989933253771/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 a (+.f64 c d)) (if (<=.f64 d 7278257947067139/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (.f64 a (+.f64 c b)) (.f64 a (+.f64 c d)))))
(if (<=.f64 d 7007193269176635/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 d 6339534373627983/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 c a) (if (<=.f64 d 1722044180123907/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (.f64 b a) (if (<=.f64 d 3459358073698655/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 c a) (if (<=.f64 d 1087770609288739/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 b a) (if (<=.f64 d 6703903964971299/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (.f64 c a) (if (<=.f64 d 1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 b a) (*.f64 d a)))))))
(if (<=.f64 b 691033158841835/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (.f64 c a) (if (<=.f64 b 2379801487644895/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 b a) (if (<=.f64 b 4462230907270283/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 c a) (.f64 b a))))
(*.f64 b a)

Outputs
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 a (+.f64 d b)) (.f64 a c))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 a (+.f64 d c)) (.f64 b a))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(if (<=.f64 d 5982738351088065/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (.f64 a (+.f64 c b)) (if (<=.f64 d 5571859284386099/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (.f64 a (+.f64 c d)) (if (<=.f64 d 7804371375789981/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 a (+.f64 c b)) (.f64 (+.f64 d b) a))))
(if (<=.f64 d 5982738351088065/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (.f64 a (+.f64 b c)) (if (<=.f64 d 5571859284386099/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) (.f64 a (+.f64 d c)) (if (<=.f64 d 7804371375789981/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 a (+.f64 b c)) (.f64 a (+.f64 d b)))))
(if (<=.f64 d 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 a (+.f64 c b)) (if (<=.f64 d 7597989933253771/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 a (+.f64 c d)) (if (<=.f64 d 7278257947067139/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (.f64 a (+.f64 c b)) (.f64 a (+.f64 c d)))))
(if (<=.f64 d 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 a (+.f64 b c)) (if (or (<=.f64 d 7597989933253771/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (not (<=.f64 d 7278257947067139/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864))) (.f64 a (+.f64 d c)) (*.f64 a (+.f64 b c))))
(if (or (<=.f64 d 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (not (or (<=.f64 d 7597989933253771/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (not (<=.f64 d 7278257947067139/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864))))) (.f64 a (+.f64 b c)) (.f64 a (+.f64 d c)))
(if (or (<=.f64 d 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (and (not (<=.f64 d 7597989933253771/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704)) (<=.f64 d 7278257947067139/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864))) (.f64 a (+.f64 b c)) (.f64 a (+.f64 d c)))
(if (<=.f64 d 7007193269176635/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 d 7007193269176635/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 a (+.f64 b c)) (.f64 d a))
(if (<=.f64 d 6339534373627983/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 c a) (if (<=.f64 d 1722044180123907/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (.f64 b a) (if (<=.f64 d 3459358073698655/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 c a) (if (<=.f64 d 1087770609288739/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 b a) (if (<=.f64 d 6703903964971299/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (.f64 c a) (if (<=.f64 d 1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 b a) (*.f64 d a)))))))
(if (<=.f64 d 6339534373627983/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 a c) (if (<=.f64 d 1722044180123907/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (.f64 b a) (if (<=.f64 d 3459358073698655/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (.f64 a c) (if (<=.f64 d 1087770609288739/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 b a) (if (<=.f64 d 6703903964971299/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (.f64 a c) (if (<=.f64 d 1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 b a) (*.f64 d a)))))))
(if (<=.f64 b 691033158841835/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (.f64 c a) (if (<=.f64 b 2379801487644895/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 b a) (if (<=.f64 b 4462230907270283/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 c a) (.f64 b a))))
(if (<=.f64 b 691033158841835/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (.f64 a c) (if (<=.f64 b 2379801487644895/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 b a) (if (<=.f64 b 4462230907270283/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 a c) (.f64 b a))))
(if (or (<=.f64 b 691033158841835/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (and (not (<=.f64 b 2379801487644895/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024)) (<=.f64 b 4462230907270283/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976))) (.f64 a c) (.f64 b a))
(*.f64 b a)

Compiler

Compiled 195 to 116 computations (40.5% saved)

soundness54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def`
24×	`+-commutative`
18×	`distribute-lft-in`
14×	`*-commutative`
12×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	43	19
3	68	19
4	83	19

Stop Event

1×

saturated

Compiler

Compiled 25 to 13 computations (48% saved)

end67.0ms (1%)

Compiler: Compiled 163 to 67 computations (58.9% saved)

Details

analyze0.0ms (0%)

sample2.2s (31.2%)

preprocess19.0ms (0.3%)

simplify13.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite83.0ms (1.2%)

simplify121.0ms (1.7%)

eval64.0ms (0.9%)

prune47.0ms (0.7%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite91.0ms (1.3%)

simplify119.0ms (1.7%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite56.0ms (0.8%)

simplify55.0ms (0.8%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite91.0ms (1.3%)

simplify97.0ms (1.4%)

eval138.0ms (2%)

prune90.0ms (1.3%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite81.0ms (1.2%)

simplify108.0ms (1.5%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite55.0ms (0.8%)

simplify52.0ms (0.7%)

localize7.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (0.9%)

simplify46.0ms (0.7%)

eval89.0ms (1.3%)

prune70.0ms (1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite59.0ms (0.9%)

simplify45.0ms (0.6%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite87.0ms (1.3%)

simplify110.0ms (1.6%)

eval588.0ms (8.4%)

prune360.0ms (5.2%)

regimes102.0ms (1.5%)

regimes77.0ms (1.1%)

regimes82.0ms (1.2%)

regimes138.0ms (2%)

bsearch31.0ms (0.4%)

regimes119.0ms (1.7%)

bsearch34.0ms (0.5%)

regimes101.0ms (1.5%)

bsearch5.0ms (0.1%)

regimes653.0ms (9.4%)

bsearch102.0ms (1.5%)

regimes139.0ms (2%)

bsearch37.0ms (0.5%)

simplify45.0ms (0.6%)

soundness54.0ms (0.8%)

end67.0ms (1%)

Profiling