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)

sample1.2s (18.1%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess17.0ms (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)

simplify14.0ms (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

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite163.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`associate-*r/`
1100×	`*-commutative`
1044×	`associate-*l/`
1024×	`distribute-lft-in`
278×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	205	32
2	3041	32

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

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

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

simplify335.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-/r/`
828×	`+-commutative`
660×	`associate-+r+`
660×	`associate-+l+`
636×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	8388
1	1218	7940
2	5570	7940

Stop Event

1×	node limit

Counts

238 → 259

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

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

eval392.0ms (5.7%)

Compiler: Compiled 5924 to 2114 computations (64.3% saved)

prune308.0ms (4.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	249	10	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	11	260

Error

Counts

260 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	6.8b	(/.f64 (-.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a (+.f64 b c)) (.f64 a d)))
	0.3b	(/.f64 a (/.f64 1 (+.f64 (+.f64 b c) d)))
▶	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.0b	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
	21.4b	(*.f64 (+.f64 d b) a)
▶	45.9b	(*.f64 d a)
	42.0b	(*.f64 c a)
▶	37.1b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	24.9b	(*.f64 a (+.f64 c d))
	18.1b	(*.f64 a (+.f64 c b))

Compiler

Compiled 251 to 147 computations (41.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series8.0ms (0.1%)

Counts

2 → 63

Calls

21 calls:

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

rewrite111.0ms (1.6%)

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	32
1	227	32
2	3313	32

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

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

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

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

814×	`associate-/l*`
772×	`+-commutative`
730×	`associate-r`
702×	`associate-+r+`
630×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	9996
1	1339	9766
2	6624	9766

Stop Event

1×	node limit

Counts

224 → 253

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

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 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(neg.f64 (.f64 a (.f64 -1 (+.f64 (+.f64 c d) b))))
(*.f64 (-.f64 (neg.f64 (+.f64 b c)) d) (neg.f64 a))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(neg.f64 (.f64 a (.f64 -1 (+.f64 (+.f64 c d) b))))
(*.f64 (-.f64 (neg.f64 (+.f64 b c)) d) (neg.f64 a))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(neg.f64 (.f64 a (.f64 -1 (+.f64 (+.f64 c d) b))))
(*.f64 (-.f64 (neg.f64 (+.f64 b c)) d) (neg.f64 a))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(neg.f64 (.f64 a (.f64 -1 (+.f64 (+.f64 c d) b))))
(*.f64 (-.f64 (neg.f64 (+.f64 b c)) d) (neg.f64 a))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 b d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 b c))
(*.f64 a d)
(*.f64 a d)
(+.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 (.f64 (.f64 a b) 1) (.f64 (.f64 a c) 1))
(*.f64 a (+.f64 b c))
(+.f64 (.f64 1 (.f64 (.f64 a c) 1)) (.f64 1 (.f64 (.f64 a b) 1)))
(*.f64 a (+.f64 b c))
(+.f64 (.f64 (.f64 (.f64 a c) 1) 1) (.f64 (.f64 (.f64 a b) 1) 1))
(*.f64 a (+.f64 b c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c b)))) 1)
(*.f64 a (+.f64 b c))
(/.f64 a (/.f64 1 (+.f64 c b)))
(*.f64 a (+.f64 b c))
(/.f64 (-.f64 (.f64 c c) (.f64 b b)) (/.f64 (-.f64 c b) a))
(.f64 (/.f64 (-.f64 (.f64 c c) (*.f64 b b)) (-.f64 c b)) a)
(*.f64 a (/.f64 (+.f64 b c) (/.f64 (-.f64 c b) (-.f64 c b))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 (fma.f64 c c (*.f64 b (-.f64 b c))) a))
(.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 c c (.f64 b (-.f64 b c)))))
(/.f64 (.f64 a (-.f64 (.f64 c c) (*.f64 b b))) (-.f64 c b))
(.f64 (/.f64 (-.f64 (.f64 c c) (*.f64 b b)) (-.f64 c b)) a)
(*.f64 a (/.f64 (+.f64 b c) (/.f64 (-.f64 c 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 (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 c c (.f64 b (-.f64 b c)))))
(/.f64 (.f64 (-.f64 (.f64 c c) (*.f64 b b)) a) (-.f64 c b))
(.f64 (/.f64 (-.f64 (.f64 c c) (*.f64 b b)) (-.f64 c b)) a)
(*.f64 a (/.f64 (+.f64 b c) (/.f64 (-.f64 c b) (-.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 (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 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 (.f64 a (+.f64 b c)) (.f64 a (-.f64 c b))) (.f64 a (-.f64 c b)))
(.f64 (/.f64 (.f64 a (+.f64 b c)) a) (/.f64 (*.f64 a (-.f64 c b)) (-.f64 c 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)))))
(/.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 b) 3) (pow.f64 (.f64 a c) 3)) (fma.f64 (.f64 a b) (.f64 a (-.f64 b c)) (.f64 c (.f64 c (*.f64 a a)))))
(/.f64 (.f64 a (-.f64 (.f64 b b) (*.f64 c c))) (-.f64 b c))
(/.f64 (-.f64 (.f64 b b) (.f64 c c)) (/.f64 (-.f64 b c) a))
(.f64 (/.f64 a (-.f64 b c)) (-.f64 (.f64 b b) (*.f64 c c)))
(/.f64 (.f64 a (neg.f64 (-.f64 (.f64 c c) (*.f64 b b)))) (neg.f64 (-.f64 c b)))
(/.f64 (-.f64 (.f64 b b) (.f64 c c)) (/.f64 (-.f64 b c) a))
(.f64 (/.f64 a (-.f64 b c)) (-.f64 (.f64 b b) (*.f64 c c)))
(/.f64 (.f64 a (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 b 3)))) (neg.f64 (fma.f64 c c (.f64 b (-.f64 b c)))))
(/.f64 a (/.f64 (neg.f64 (fma.f64 c c (*.f64 b (-.f64 b c)))) (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(/.f64 a (.f64 1 (/.f64 (fma.f64 c c (.f64 b (-.f64 b c))) (+.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(/.f64 (.f64 1 (.f64 a (-.f64 (.f64 c c) (.f64 b b)))) (-.f64 c b))
(.f64 (/.f64 (-.f64 (.f64 c c) (*.f64 b b)) (-.f64 c b)) a)
(*.f64 a (/.f64 (+.f64 b c) (/.f64 (-.f64 c b) (-.f64 c b))))
(/.f64 (.f64 1 (.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 c c (.f64 b (-.f64 b c)))))
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(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 b c)) 3) (pow.f64 (.f64 a d) 3)) (+.f64 (pow.f64 (.f64 a (+.f64 b c)) 2) (.f64 (.f64 a d) (.f64 a (-.f64 d (+.f64 b c))))))
(/.f64 (.f64 (pow.f64 a 3) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 a (.f64 (.f64 a d) (-.f64 (-.f64 d b) c)) (pow.f64 (.f64 a (+.f64 b c)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 c b)) 3) (pow.f64 (.f64 a d) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 a (+.f64 c b)) 2) (.f64 (.f64 a d) (-.f64 (.f64 a d) (.f64 a (+.f64 c b)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a (+.f64 c b)) 2) (.f64 (.f64 a d) (-.f64 (.f64 a d) (.f64 a (+.f64 c b)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a (+.f64 c b)) 2) (.f64 (.f64 a d) (-.f64 (.f64 a d) (.f64 a (+.f64 c b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 b c)) 3) (pow.f64 (.f64 a d) 3)) (+.f64 (pow.f64 (.f64 a (+.f64 b c)) 2) (.f64 (.f64 a d) (.f64 a (-.f64 d (+.f64 b c))))))
(/.f64 (.f64 (pow.f64 a 3) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 a (.f64 (.f64 a d) (-.f64 (-.f64 d b) c)) (pow.f64 (.f64 a (+.f64 b c)) 2)))
(pow.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d)) 1)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (sqrt.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))) 2)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (cbrt.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))) 3)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (pow.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d)) 3) 1/3)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(sqrt.f64 (pow.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d)) 2))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 c d) b)) 2))
(fabs.f64 (*.f64 a (+.f64 b (+.f64 c d))))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 c (+.f64 b d))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(cbrt.f64 (pow.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d)) 3))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (log.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a (+.f64 c b)) (*.f64 a d))) 1))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(log1p.f64 (expm1.f64 (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 a (+.f64 c b) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 a d (*.f64 a (+.f64 c b)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (+.f64 c b) a (*.f64 a d))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 d a (*.f64 a (+.f64 c b)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (.f64 a d)) (sqrt.f64 (.f64 a d)) (*.f64 a (+.f64 c b)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (sqrt.f64 (.f64 a (+.f64 c b))) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a d)) 2) (cbrt.f64 (.f64 a d)) (*.f64 a (+.f64 c b)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 c b))) 2) (cbrt.f64 (.f64 a (+.f64 c b))) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 b (+.f64 c 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
✓	0.0b	(*.f64 a (+.f64 c d))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (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))))))

simplify53.0ms (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
✓	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	0.0b	(*.f64 (+.f64 d b) a)

Compiler

Compiled 28 to 8 computations (71.4% saved)

series4.0ms (0.1%)

Counts

2 → 63

Calls

21 calls:

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

rewrite90.0ms (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 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

Outputs

((#(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 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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 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(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)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 d b) a))) (-.f64 1 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c a))) (-.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 c a) 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 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 c a) (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 (*.f64 (+.f64 d b) a) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 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simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/l*`
732×	`+-commutative`
710×	`associate-+r+`
602×	`associate-r`
550×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	9642
1	1264	9428
2	6090	9428

Stop Event

1×	node limit

Counts

222 → 246

Calls

Call 1

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

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

eval442.0ms (6.4%)

Compiler: Compiled 13829 to 4190 computations (69.7% saved)

prune108.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	531	5	536
Fresh	1	4	5
Picked	1	0	1
Done	2	3	5
Total	535	12	547

Error

Counts

547 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 a (/.f64 1 (+.f64 (+.f64 b c) d)))
	0.2b	(+.f64 (/.f64 a (/.f64 1 (+.f64 d b))) (*.f64 c a))
	24.9b	(+.f64 (.f64 c a) (.f64 a d))
▶	18.1b	(+.f64 (.f64 a b) (.f64 c a))
	21.4b	(+.f64 (.f64 a b) (.f64 a d))
▶	21.4b	(*.f64 (+.f64 d b) a)
▶	0.0b	(*.f64 (+.f64 b (+.f64 d c)) a)
✓	45.9b	(*.f64 d a)
▶	42.0b	(*.f64 c a)
✓	37.1b	(*.f64 b a)
✓	24.9b	(*.f64 a (+.f64 c d))
	18.1b	(*.f64 a (+.f64 c b))

Compiler

Compiled 217 to 144 computations (33.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite68.0ms (1%)

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	19
1	199	19
2	2861	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1386×	`distribute-lft-in`
1322×	`distribute-rgt-in`
1076×	`associate-/l*`
738×	`times-frac`
680×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	3403
1	551	3395
2	2060	3391

Stop Event

1×	node limit

Counts

107 → 99

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 (.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)))

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

localize3.0ms (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
	0.0b	(*.f64 (+.f64 d b) a)

Compiler

Compiled 15 to 6 computations (60% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a b) (.f64 c a))

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

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 a b) (.f64 c a))

Outputs

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
1224×	`associate-*r/`
1082×	`associate-*l/`
602×	`distribute-lft-in`
596×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1185
1	294	1099
2	1590	1099

Stop Event

1×	node limit

Counts

59 → 52

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 b c) d)
✓	0.0b	(/.f64 1 (+.f64 (+.f64 b c) d))
✓	0.3b	(/.f64 a (/.f64 1 (+.f64 (+.f64 b c) 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 (+.f64 b c) d))
0.0ms	c	@	0	(/.f64 1 (+.f64 (+.f64 b c) d))
0.0ms	d	@	0	(/.f64 1 (+.f64 (+.f64 b c) d))
0.0ms	b	@	0	(/.f64 1 (+.f64 (+.f64 b c) d))
0.0ms	b	@	inf	(/.f64 1 (+.f64 (+.f64 b c) d))

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`distribute-lft-in`
1254×	`associate-/r*`
888×	`associate-/l*`
612×	`associate-/r/`
294×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	246	38
2	3559	38

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

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

simplify191.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

854×	`+-commutative`
732×	`associate-+r+`
678×	`associate-/r/`
594×	`associate-r`
586×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	7231
1	1417	6879
2	5651	6879

Stop Event

1×	node limit

Counts

209 → 259

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

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

eval895.0ms (13%)

Compiler: Compiled 13583 to 5278 computations (61.1% saved)

prune129.0ms (1.9%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	650	3	653
Fresh	1	3	4
Picked	1	0	1
Done	0	7	7
Total	652	13	665

Error

Counts

665 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.0b	(/.f64 a (/.f64 1 d))
▶	37.2b	(/.f64 a (/.f64 1 b))
▶	0.2b	(+.f64 (/.f64 a (/.f64 1 (+.f64 d b))) (*.f64 c a))
	21.4b	(+.f64 (.f64 d a) (.f64 b a))
▶	24.9b	(+.f64 (.f64 c a) (.f64 a d))
✓	18.1b	(+.f64 (.f64 a b) (.f64 c a))
✓	21.4b	(*.f64 (+.f64 d b) a)
✓	0.0b	(*.f64 (+.f64 b (+.f64 d c)) a)
✓	45.9b	(*.f64 d a)
✓	42.0b	(*.f64 c a)
✓	37.1b	(*.f64 b a)
✓	24.9b	(*.f64 a (+.f64 c d))
▶	18.1b	(*.f64 a (+.f64 c b))

Compiler

Compiled 189 to 129 computations (31.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 16 computations (57.9% saved)

series5.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	d	@	inf	(/.f64 1 (+.f64 d b))
0.0ms	d	@	0	(/.f64 1 (+.f64 d b))
0.0ms	b	@	0	(/.f64 1 (+.f64 d b))
0.0ms	b	@	inf	(/.f64 a (/.f64 1 (+.f64 d b)))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 d b))

rewrite94.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`associate-/r*`
980×	`distribute-lft-in`
928×	`associate-/l*`
648×	`associate-/r/`
346×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	264	45
2	3777	45

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

simplify130.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

968×	`+-commutative`
872×	`associate-+r+`
872×	`associate-r`
700×	`associate-l`
656×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	522	9853
1	1644	8925
2	7327	8925

Stop Event

1×	node limit

Counts

283 → 290

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 c b))

Compiler

Compiled 15 to 6 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 a (/.f64 1 b))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`add-sqr-sqrt`
1398×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1272×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	7
2	1894	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 a (/.f64 1 b))

Outputs

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-r`
1382×	`distribute-lft-in`
1234×	`associate-l`
926×	`associate-+r+`
706×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	512
1	238	482
2	904	482
3	5291	482

Stop Event

1×	node limit

Counts

58 → 39

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 a (/.f64 1 d))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`add-sqr-sqrt`
1398×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1272×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	7
2	1894	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 a (/.f64 1 d))

Outputs

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-r`
1382×	`distribute-lft-in`
1234×	`associate-l`
926×	`associate-+r+`
706×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	512
1	238	482
2	904	482
3	5291	482

Stop Event

1×	node limit

Counts

58 → 39

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.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	c	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	d	@	inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	a	@	0	(+.f64 (.f64 c a) (.f64 a d))

rewrite58.0ms (0.8%)

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 (*.f64 c a) (*.f64 a 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 (*.f64 c a) (*.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 c a) (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))) (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))) 2) (cbrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 c a) (*.f64 a 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 (*.f64 c a) (*.f64 a 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 (*.f64 c a) (*.f64 a 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 (*.f64 c a) (*.f64 a 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 (*.f64 c a) (*.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 c a) (*.f64 a d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 a d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 a d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 c a) (*.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 c a) (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 a d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 c a) (*.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 c a) (*.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 c a) (*.f64 a d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 c a) (*.f64 a 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 (0.7%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-/r*`
1210×	`associate-*r/`
1050×	`associate-*l/`
622×	`distribute-lft-in`
594×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	1302
1	288	1216
2	1566	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 (.f64 c a) (.f64 a 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 (.f64 c a) (*.f64 a d)) 1)
(.f64 1 (+.f64 (.f64 c a) (*.f64 a d)))
(.f64 (sqrt.f64 (+.f64 (.f64 c a) (.f64 a d))) (sqrt.f64 (+.f64 (.f64 c a) (*.f64 a d))))
(.f64 (cbrt.f64 (+.f64 (.f64 c a) (.f64 a d))) (pow.f64 (cbrt.f64 (+.f64 (.f64 c a) (*.f64 a d))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 c a) (.f64 a d))) 2) (cbrt.f64 (+.f64 (.f64 c a) (*.f64 a d))))
(.f64 (.f64 (+.f64 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a d)) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 c a) (.f64 a d))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 c a) (.f64 a d))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 c a) (.f64 a d)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 c a) (.f64 a d)) 2))
(log.f64 (exp.f64 (+.f64 (.f64 c a) (.f64 a d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 c a) (.f64 a d)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 c a) (.f64 a d)) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 c a) (.f64 a d))))
(exp.f64 (log.f64 (+.f64 (.f64 c a) (.f64 a d))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 c a) (*.f64 a d))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 a c) (/.f64 1 c)) (-.f64 c d)) (/.f64 (/.f64 (.f64 a d) (/.f64 1 d)) (-.f64 c d)))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a (+.f64 d c))
(.f64 (+.f64 (.f64 c a) (*.f64 a d)) 1)
(*.f64 a (+.f64 d c))
(.f64 1 (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 d c))
(.f64 (sqrt.f64 (+.f64 (.f64 c a) (.f64 a d))) (sqrt.f64 (+.f64 (.f64 c a) (*.f64 a d))))
(*.f64 a (+.f64 d c))
(.f64 (cbrt.f64 (+.f64 (.f64 c a) (.f64 a d))) (pow.f64 (cbrt.f64 (+.f64 (.f64 c a) (*.f64 a d))) 2))
(*.f64 a (+.f64 d c))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 c a) (.f64 a d))) 2) (cbrt.f64 (+.f64 (.f64 c a) (*.f64 a d))))
(*.f64 a (+.f64 d c))
(.f64 (.f64 (+.f64 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a 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 (.f64 c a) (.f64 a d)) 1)
(*.f64 a (+.f64 d c))
(pow.f64 (sqrt.f64 (+.f64 (.f64 c a) (.f64 a d))) 2)
(*.f64 a (+.f64 d c))
(pow.f64 (cbrt.f64 (+.f64 (.f64 c a) (.f64 a d))) 3)
(*.f64 a (+.f64 d c))
(pow.f64 (pow.f64 (+.f64 (.f64 c a) (.f64 a d)) 3) 1/3)
(*.f64 a (+.f64 d c))
(sqrt.f64 (pow.f64 (+.f64 (.f64 c a) (.f64 a d)) 2))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(fabs.f64 (*.f64 a (+.f64 d c)))
(log.f64 (exp.f64 (+.f64 (.f64 c a) (.f64 a d))))
(*.f64 a (+.f64 d c))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 c a) (.f64 a d)))))
(*.f64 a (+.f64 d c))
(cbrt.f64 (pow.f64 (+.f64 (.f64 c a) (.f64 a d)) 3))
(*.f64 a (+.f64 d c))
(expm1.f64 (log1p.f64 (+.f64 (.f64 c a) (.f64 a d))))
(*.f64 a (+.f64 d c))
(exp.f64 (log.f64 (+.f64 (.f64 c a) (.f64 a d))))
(*.f64 a (+.f64 d c))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 c a) (*.f64 a d))) 1))
(*.f64 a (+.f64 d c))
(log1p.f64 (expm1.f64 (+.f64 (.f64 c a) (.f64 a 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))

eval191.0ms (2.8%)

Compiler: Compiled 10718 to 4437 computations (58.6% saved)

prune138.0ms (2%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	517	1	518
Fresh	0	1	1
Picked	0	1	1
Done	1	10	11
Total	518	13	531

Error

Counts

531 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.0b	(/.f64 a (/.f64 1 d))
✓	37.2b	(/.f64 a (/.f64 1 b))
	25.0b	(+.f64 (/.f64 a (/.f64 1 d)) (*.f64 c a))
	21.4b	(+.f64 (.f64 d a) (.f64 b a))
✓	24.9b	(+.f64 (.f64 c a) (.f64 a d))
✓	18.1b	(+.f64 (.f64 a b) (.f64 c a))
✓	21.4b	(*.f64 (+.f64 d b) a)
✓	0.0b	(*.f64 (+.f64 b (+.f64 d c)) a)
✓	45.9b	(*.f64 d a)
✓	42.0b	(*.f64 c a)
✓	37.1b	(*.f64 b a)
✓	24.9b	(*.f64 a (+.f64 c d))
✓	18.1b	(*.f64 a (+.f64 c b))

Compiler

Compiled 123 to 84 computations (31.7% saved)

regimes87.0ms (1.3%)

Counts

20 → 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 1 b))
(/.f64 a (/.f64 1 d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 b (+.f64 d c)) a)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 d a) (.f64 b a))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (/.f64 a (/.f64 1 d)) (*.f64 c a))
(/.f64 a (/.f64 1 (+.f64 (+.f64 b c) d)))
(+.f64 (/.f64 a (/.f64 1 (+.f64 d b))) (*.f64 c a))
(/.f64 (-.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a (+.f64 b c)) (.f64 a d)))

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

Calls

7 calls:

23.0ms	(+.f64 b c)
11.0ms	(+.f64 (+.f64 b c) d)
11.0ms	d
10.0ms	c
10.0ms	a

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`d`
0.0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.0b	1	`(+.f64 (+.f64 b c) d)`
0.0b	1	`(+.f64 b c)`

Compiler

Compiled 203 to 84 computations (58.6% saved)

regimes60.0ms (0.9%)

Counts

14 → 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 1 b))
(/.f64 a (/.f64 1 d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 b (+.f64 d c)) a)
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 d a) (.f64 b a))

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

Calls

7 calls:

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

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`d`
0.0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.0b	1	`(+.f64 (+.f64 b c) d)`
0.0b	1	`(+.f64 b c)`

Compiler

Compiled 127 to 65 computations (48.8% saved)

regimes47.0ms (0.7%)

Counts

9 → 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 1 b))
(/.f64 a (/.f64 1 d))
(*.f64 a (+.f64 (+.f64 b c) d))

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

Calls

7 calls:

9.0ms	b
7.0ms	(+.f64 b c)
7.0ms	c
7.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms	(+.f64 (+.f64 b c) d)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`d`
0.0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.0b	1	`(+.f64 (+.f64 b c) d)`
0.0b	1	`(+.f64 b c)`

Compiler

Compiled 92 to 56 computations (39.1% saved)

regimes83.0ms (1.2%)

Counts

8 → 3

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 1 b))
(/.f64 a (/.f64 1 d))

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

Calls

4 calls:

31.0ms	a
20.0ms	b
16.0ms	d
14.0ms	c

Results

Error	Segments	Branch
13.5b	7	`a`
5.4b	3	`b`
6.9b	3	`c`
8.8b	3	`d`

Compiler

Compiled 58 to 35 computations (39.7% saved)

bsearch9.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	3.061243497987428e-119	7.006024258429982e-119
0.0ms	3.9977940835324214e-151	4.074971445840094e-151

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 118 to 83 computations (29.7% saved)

regimes67.0ms (1%)

Counts

5 → 2

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

Calls

4 calls:

24.0ms	c
19.0ms	a
12.0ms	d
12.0ms	b

Results

Error	Segments	Branch
15.8b	5	`a`
6.5b	2	`b`
14.1b	6	`c`
10.1b	2	`d`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	1.7483224306704054e-148	5.812756802167898e-147

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 158 to 111 computations (29.7% saved)

regimes42.0ms (0.6%)

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:

16.0ms	c
11.0ms	b
10.0ms	d
4.0ms	a

Results

Error	Segments	Branch
18.1b	1	`a`
16.6b	3	`b`
15.8b	5	`c`
14.2b	2	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	4.478693128634923e-97	2.5653998942095904e-96

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 126 to 91 computations (27.8% saved)

regimes61.0ms (0.9%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	c
15.0ms	a
13.0ms	d
11.0ms	b

Results

Error	Segments	Branch
33.4b	5	`a`
22.1b	4	`b`
24.5b	6	`c`
28.8b	4	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch22.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
0.0ms	3.9977940835324214e-151	4.074971445840094e-151
12.0ms	5.888980610171569e-205	7.146504306984904e-202
10.0ms	2.8797715861953744e-253	9.489428171728874e-253

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 226 to 169 computations (25.2% saved)

regimes157.0ms (2.3%)

Accuracy

Total -36.4b remaining (-151.9%)

Threshold costs -36.4b (-151.9%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	b
66.0ms	d
13.0ms	a
8.0ms	c

Results

Error	Segments	Branch
33.4b	5	`a`
24.0b	2	`b`
27.1b	2	`c`
34.3b	5	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	3.9977940835324214e-151	4.074971445840094e-151

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
12×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	269
1	60	269

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 b (+.f64 d c)) a)
(*.f64 a (+.f64 (+.f64 b c) d))
(if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 a (+.f64 c d)) (if (<=.f64 b 5814709794364855/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 c b))))
(if (<=.f64 b 8997827589086393/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 d 931901696844657/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 b 8419694089974665/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (.f64 c a) (if (<=.f64 b 9001544493382443/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (.f64 d a) (if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 c a) (.f64 b a))))
(if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 c a) (.f64 b a))
(*.f64 b a)

Outputs
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 b (+.f64 d c)) a)
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 d (+.f64 c b)))
(if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 a (+.f64 c d)) (if (<=.f64 b 5814709794364855/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 c b))))
(if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 a (+.f64 c d)) (if (<=.f64 b 5814709794364855/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (.f64 a (+.f64 b d)) (*.f64 a (+.f64 c b))))
(if (<=.f64 b 8997827589086393/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 d 931901696844657/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 d 931901696844657/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 a (+.f64 c b)) (.f64 a d))
(if (<=.f64 b 8419694089974665/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (.f64 c a) (if (<=.f64 b 9001544493382443/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (.f64 d a) (if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 c a) (.f64 b a))))
(if (<=.f64 b 8419694089974665/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (.f64 a c) (if (<=.f64 b 9001544493382443/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (.f64 a d) (if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 a c) (.f64 a b))))
(if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 c a) (.f64 b a))
(if (<=.f64 b 2948408144391829/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (.f64 a c) (.f64 a b))
(*.f64 b a)
(*.f64 a b)

Compiler

Compiled 145 to 89 computations (38.6% saved)

soundness0.0ms (0%)

end47.0ms (0.7%)

Compiler: Compiled 113 to 42 computations (62.8% saved)