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)

sample1.1s (18.2%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.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)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series28.0ms (0.4%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	(*.f64 a (+.f64 (+.f64 b c) d))
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	@	0	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	b	@	inf	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite95.0ms (1.5%)

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

simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-/r/`
834×	`+-commutative`
712×	`associate-+r+`
672×	`associate-+l+`
636×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	8388
1	1217	7940
2	5639	7940

Stop Event

1×	node limit

Counts

238 → 260

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

eval94.0ms (1.5%)

Compiler: Compiled 5925 to 2121 computations (64.2% saved)

prune53.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	249	11	260
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	12	261

Error

0.0b

Counts

261 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (+.f64 b c) a (*.f64 a d))
	0.3b	(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
	0.1b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.1b	(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
	23.6b	(*.f64 (+.f64 d b) a)
▶	43.1b	(*.f64 d a)
	39.8b	(*.f64 c a)
▶	41.7b	(*.f64 b a)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	21.2b	(*.f64 a (+.f64 c d))
	19.3b	(*.f64 a (+.f64 c b))
	19.5b	(*.f64 a (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3)))

Compiler

Compiled 237 to 157 computations (33.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite103.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`*-commutative`
846×	`unswap-sqr`
578×	`swap-sqr`
448×	`distribute-lft-in`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	207	19
2	2683	19

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

Outputs

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1034×	`distribute-lft-in`
956×	`distribute-rgt-in`
716×	`associate--r+`
664×	`associate-*r/`
580×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	2522
1	376	2120
2	1411	2120
3	5650	2120

Stop Event

1×	node limit

Counts

88 → 64

Calls

Call 1

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

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

localize6.0ms (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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.9%)

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))))))

simplify51.0ms (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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 c d))
✓	0.1b	(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c (+.f64 d b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c d)))) (-.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a b))) (-.f64 1 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 a (+.f64 c (-.f64 d b)))) (/.f64 (pow.f64 (*.f64 a b) 2) (*.f64 a (+.f64 c (-.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a (+.f64 c d)) (exp.f64 (log1p.f64 (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a b) (exp.f64 (log1p.f64 (*.f64 a (+.f64 c d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c (+.f64 d b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c (+.f64 d b)))) (sqrt.f64 (*.f64 a (+.f64 c (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (+.f64 c (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 d b)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 d b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 d b)))) 2) (cbrt.f64 (*.f64 a (+.f64 c (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2)) (/.f64 (/.f64 1 a) (+.f64 c (-.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) (+.f64 c (-.f64 d b))) (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2)) (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2))) (*.f64 a (+.f64 c (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2)) (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3))) (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (*.f64 a (+.f64 c (+.f64 d b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a (+.f64 c d)) 2)) (*.f64 (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))) (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) 3) (pow.f64 (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a (+.f64 c d)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))) (*.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c (+.f64 d b))) (/.f64 (*.f64 a (+.f64 c (-.f64 d b))) (*.f64 a (+.f64 c (-.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 a (+.f64 c (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (pow.f64 (*.f64 a b) 2)) (*.f64 a (+.f64 c (-.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))) (/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2) (*.f64 (*.f64 a b) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))) (*.f64 a (+.f64 c (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

141 → 170

Calls

Call 1

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

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

eval348.0ms (5.5%)

Compiler: Compiled 7423 to 2242 computations (69.8% saved)

prune310.0ms (4.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	302	6	308
Fresh	2	4	6
Picked	1	0	1
Done	0	5	5
Total	305	15	320

Error

Counts

320 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 (+.f64 b c) a (*.f64 a d))
	19.3b	(fma.f64 a b (*.f64 c a))
▶	0.3b	(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
▶	0.2b	(/.f64 1 (/.f64 1 (*.f64 a (+.f64 c (+.f64 d b)))))
	23.6b	(+.f64 (.f64 d a) (.f64 a b))
▶	21.2b	(+.f64 (.f64 c a) (.f64 a d))
	19.3b	(+.f64 (.f64 c a) (.f64 a b))
▶	23.6b	(*.f64 (+.f64 d b) a)
	0.6b	(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 c (+.f64 d b))))
✓	43.1b	(*.f64 d a)
▶	39.8b	(*.f64 c a)
✓	41.7b	(*.f64 b a)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	21.2b	(*.f64 a (+.f64 c d))
	19.3b	(*.f64 a (+.f64 c b))

Compiler

Compiled 268 to 176 computations (34.3% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 c (+.f64 d b))
✓	0.1b	(*.f64 a (+.f64 c (+.f64 d b)))
✓	0.2b	(/.f64 1 (*.f64 a (+.f64 c (+.f64 d b))))
✓	0.3b	(/.f64 1 (/.f64 1 (*.f64 a (+.f64 c (+.f64 d b)))))

Compiler

Compiled 44 to 14 computations (68.2% saved)

series7.0ms (0.1%)

Counts

4 → 153

Calls

45 calls:

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

rewrite180.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`distribute-lft-in`
1160×	`associate-/r*`
650×	`associate-/r/`
500×	`associate-/l*`
274×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	273	76
2	3667	76

Stop Event

1×	node limit

Counts

4 → 363

Calls

Call 1

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

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

simplify286.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-r`
1138×	`associate-/l*`
1104×	`associate-l`
966×	`*-commutative`
878×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	874	21272
1	2649	21064

Stop Event

1×	node limit

Counts

516 → 578

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1626×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1988	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

simplify290.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1114×	`fma-def`
1028×	`distribute-lft-out`
836×	`associate-r`
762×	`associate-l`
566×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	625
1	149	625
2	437	625
3	2829	625
4	6018	625

Stop Event

1×	node limit

Counts

45 → 27

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

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

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)

series4.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	a	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	-inf	(+.f64 (.f64 c a) (.f64 a d))

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (+.f64 c d))
✓	0.1b	(/.f64 1 (+.f64 b (+.f64 c d)))
✓	0.3b	(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series4.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite98.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	246	51
2	3563	51

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

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

Outputs

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

simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-r`
970×	`associate-l`
754×	`distribute-lft-in`
748×	`*-commutative`
728×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	720	14447
1	2136	14223

Stop Event

1×	node limit

Counts

377 → 464

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

eval360.0ms (5.7%)

Compiler: Compiled 26733 to 10332 computations (61.4% saved)

prune295.0ms (4.7%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1116	6	1122
Fresh	3	2	5
Picked	1	0	1
Done	1	8	9
Total	1121	16	1137

Error

Counts

1137 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 (+.f64 b c) a (*.f64 a d))
▶	21.2b	(fma.f64 d a (*.f64 c a))
▶	21.3b	(/.f64 a (/.f64 1 (+.f64 c d)))
	19.5b	(/.f64 a (/.f64 1 (+.f64 c b)))
▶	41.8b	(/.f64 a (/.f64 1 b))
	23.8b	(/.f64 1 (/.f64 (/.f64 1 a) (+.f64 d b)))
▶	23.6b	(+.f64 (.f64 d a) (.f64 b a))
✓	21.2b	(+.f64 (.f64 c a) (.f64 a d))
	19.3b	(+.f64 (.f64 c a) (.f64 a b))
✓	23.6b	(*.f64 (+.f64 d b) a)
✓	43.1b	(*.f64 d a)
✓	39.8b	(*.f64 c a)
✓	41.7b	(*.f64 b a)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	21.2b	(*.f64 a (+.f64 c d))
▶	19.3b	(*.f64 a (+.f64 c b))

Compiler

Compiled 243 to 166 computations (31.7% saved)

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)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 35

Calls

Call 1

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

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

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	@	-inf	(/.f64 a (/.f64 1 b))
0.0ms	b	@	inf	(/.f64 a (/.f64 1 b))
0.0ms	b	@	0	(/.f64 a (/.f64 1 b))
0.0ms	a	@	0	(/.f64 a (/.f64 1 b))
0.0ms	a	@	-inf	(/.f64 a (/.f64 1 b))

rewrite51.0ms (0.8%)

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

888×	`distribute-lft-in`
854×	`associate-+r+`
836×	`distribute-rgt-in`
726×	`associate-+l+`
636×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	506
1	238	482
2	896	482
3	3256	482

Stop Event

1×	node limit

Counts

58 → 41

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1756×	`add-cube-cbrt`
1738×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	172	13
2	2330	13

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-+r+`
1062×	`times-frac`
1038×	`associate-/r/`
992×	`associate-+l+`
522×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1597
1	319	1517
2	1272	1517
3	5593	1517

Stop Event

1×	node limit

Counts

79 → 52

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 c d))
✓	0.2b	(/.f64 a (/.f64 1 (+.f64 c d)))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`associate-*r/`
950×	`associate-*l/`
926×	`associate-/r*`
904×	`*-commutative`
718×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	195	26
2	2684	26

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

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

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1328×	`unswap-sqr`
558×	`distribute-lft-neg-out`
520×	`+-commutative`
502×	`associate-r`
498×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5148
1	1068	4874
2	4160	4738

Stop Event

1×	node limit

Counts

184 → 194

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`add-sqr-sqrt`
1518×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1374×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	157	13
2	1870	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`times-frac`
890×	`associate-/l*`
726×	`*-commutative`
722×	`associate-+r+`
662×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	859
1	190	841
2	859	833
3	2987	803

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

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

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

eval106.0ms (1.7%)

Compiler: Compiled 5309 to 2132 computations (59.8% saved)

prune85.0ms (1.3%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	359	1	360
Fresh	0	3	3
Picked	0	1	1
Done	1	11	12
Total	360	16	376

Error

Counts

376 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.2b	(fma.f64 d a (*.f64 c a))
	23.6b	(fma.f64 b a (*.f64 d a))
✓	21.3b	(/.f64 a (/.f64 1 (+.f64 c d)))
	19.5b	(/.f64 a (/.f64 1 (+.f64 c b)))
✓	41.8b	(/.f64 a (/.f64 1 b))
	23.8b	(/.f64 1 (/.f64 (/.f64 1 a) (+.f64 d b)))
✓	23.6b	(+.f64 (.f64 d a) (.f64 b a))
✓	21.2b	(+.f64 (.f64 c a) (.f64 a d))
	19.3b	(+.f64 (.f64 c a) (.f64 a b))
✓	23.6b	(*.f64 (+.f64 d b) a)
✓	43.1b	(*.f64 d a)
✓	39.8b	(*.f64 c a)
✓	41.7b	(*.f64 b a)
✓	0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	21.2b	(*.f64 a (+.f64 c d))
✓	19.3b	(*.f64 a (+.f64 c b))

Compiler

Compiled 156 to 106 computations (32.1% saved)

regimes128.0ms (2%)

Counts

25 → 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 (+.f64 b c) d))
(+.f64 (.f64 c a) (.f64 a b))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 d a) (.f64 a b))
(+.f64 (.f64 d a) (.f64 b a))
(/.f64 a (/.f64 1 (+.f64 c b)))
(/.f64 a (/.f64 1 (+.f64 c d)))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(/.f64 1 (/.f64 (/.f64 1 a) (+.f64 d b)))
(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
(/.f64 1 (/.f64 1 (*.f64 a (+.f64 c (+.f64 d b)))))
(fma.f64 a b (*.f64 c a))
(fma.f64 b a (*.f64 d a))
(fma.f64 d a (*.f64 c a))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(*.f64 a (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 c (+.f64 d b))))

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

Calls

7 calls:

54.0ms	b
12.0ms	(+.f64 (+.f64 b c) d)
12.0ms	c
12.0ms	(+.f64 b c)
12.0ms	(*.f64 a (+.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 223 to 93 computations (58.3% saved)

regimes94.0ms (1.5%)

Counts

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

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

Calls

7 calls:

22.0ms	a
11.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
11.0ms	(+.f64 (+.f64 b c) d)
11.0ms	c
10.0ms	(+.f64 b c)

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`c`
0.1b	1	`d`
0.1b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.1b	1	`(+.f64 (+.f64 b c) d)`
0.1b	1	`(+.f64 b c)`

Compiler

Compiled 194 to 85 computations (56.2% saved)

regimes133.0ms (2.1%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	a
22.0ms	b
14.0ms	c
14.0ms	d

Results

Error	Segments	Branch
12.3b	9	`a`
7.0b	4	`b`
9.8b	2	`c`
7.8b	2	`d`

Compiler

Compiled 53 to 32 computations (39.6% saved)

bsearch32.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	8.31893423769035e-127	3.740123850112573e-125
9.0ms	2.751942022510236e-170	1.1997666398544168e-169
11.0ms	4.762531168546238e-191	1.3863682820583635e-189

Results

28.0ms

320×

body

256

valid

Compiler

Compiled 418 to 293 computations (29.9% saved)

regimes75.0ms (1.2%)

Counts

4 → 4

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

Calls

4 calls:

39.0ms	c
18.0ms	b
14.0ms	d
4.0ms	a

Results

Error	Segments	Branch
19.3b	1	`a`
16.4b	5	`b`
16.3b	5	`c`
9.4b	4	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch29.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
9.0ms	3.608090779763049e-65	2.8179799359919388e-64
9.0ms	4.0220185984878446e-75	1.3749861269409238e-74
11.0ms	1.2572851666419664e-95	3.175364352790303e-94

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes121.0ms (1.9%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	b
25.0ms	a
23.0ms	d
19.0ms	c

Results

Error	Segments	Branch
32.5b	8	`a`
22.5b	8	`b`
24.6b	5	`c`
25.7b	6	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch69.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
9.0ms	9.332976394866057e-103	7.140665932300736e-102
12.0ms	2.743232541695504e-113	1.493937845342671e-111
11.0ms	3.4247188039929846e-133	3.1131033215474157e-131
8.0ms	1.3075735962019777e-151	3.7864566838038465e-151
11.0ms	3.4320868061972266e-161	1.0815419130907861e-159
9.0ms	1.0038317783424716e-233	3.33393634539436e-233
11.0ms	6.1995991866383176e-254	3.1894939042575443e-252

Results

62.0ms

704×

body

256

valid

Compiler

Compiled 722 to 541 computations (25.1% saved)

regimes53.0ms (0.8%)

Accuracy

Total -33.1b remaining (-121.9%)

Threshold costs -33.1b (-121.9%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	d
17.0ms	a
9.0ms	c
6.0ms	b

Results

Error	Segments	Branch
33.7b	6	`a`
27.1b	2	`b`
28.5b	2	`c`
35.2b	6	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch49.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
48.0ms	9.332976394866057e-103	7.140665932300736e-102

Results

47.0ms

96×

body

256

valid

Compiler

Compiled 114 to 85 computations (25.4% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	329
1	81	317
2	87	317
3	93	309
4	95	309
5	97	309

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 b c) a (*.f64 a d))
(*.f64 a (+.f64 (+.f64 b c) d))
(if (<=.f64 b 6822380853753841/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 a (+.f64 c d)) (if (<=.f64 b 2889390680923213/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 a (+.f64 c b)) (if (<=.f64 b 7438541467549825/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))))
(if (<=.f64 d 4659508484223285/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (.f64 a (+.f64 c b)) (if (<=.f64 d 7537033112437599/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (.f64 d a) (if (<=.f64 d 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (<=.f64 b 7222776792870423/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (.f64 c a) (if (<=.f64 b 5369794484714055/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (.f64 d a) (if (<=.f64 b 8864321588796067/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (.f64 c a) (if (<=.f64 b 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 d a) (if (<=.f64 b 2797086701083129/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (.f64 c a) (if (<=.f64 b 1624611148898915/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 d a) (if (<=.f64 b 4791283953481569/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 c a) (.f64 b a))))))))
(if (<=.f64 b 5346064200726803/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 c a) (.f64 b a))
(*.f64 b a)

Outputs
(fma.f64 (+.f64 b c) a (*.f64 a d))
(*.f64 a (+.f64 (+.f64 b c) d))
(if (<=.f64 b 6822380853753841/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 a (+.f64 c d)) (if (<=.f64 b 2889390680923213/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 a (+.f64 c b)) (if (<=.f64 b 7438541467549825/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))))
(if (<=.f64 b 6822380853753841/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 a (+.f64 c d)) (if (or (<=.f64 b 2889390680923213/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (not (<=.f64 b 7438541467549825/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848))) (.f64 (+.f64 b c) a) (*.f64 a (+.f64 c d))))
(if (or (<=.f64 b 6822380853753841/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (not (or (<=.f64 b 2889390680923213/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (not (<=.f64 b 7438541467549825/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848))))) (.f64 a (+.f64 c d)) (.f64 (+.f64 b c) a))
(if (or (<=.f64 b 6822380853753841/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (and (not (<=.f64 b 2889390680923213/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192)) (<=.f64 b 7438541467549825/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848))) (.f64 a (+.f64 c d)) (.f64 (+.f64 b c) a))
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(if (<=.f64 d 4659508484223285/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (.f64 (+.f64 b c) a) (if (<=.f64 d 7537033112437599/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (.f64 a d) (if (<=.f64 d 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 (+.f64 b c) a) (.f64 a d))))
(if (or (<=.f64 d 4659508484223285/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (not (or (<=.f64 d 7537033112437599/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (not (<=.f64 d 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232))))) (.f64 (+.f64 b c) a) (.f64 a d))
(if (or (<=.f64 d 4659508484223285/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (and (not (<=.f64 d 7537033112437599/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688)) (<=.f64 d 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232))) (.f64 (+.f64 b c) a) (.f64 a d))
(if (<=.f64 b 7222776792870423/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (.f64 c a) (if (<=.f64 b 5369794484714055/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (.f64 d a) (if (<=.f64 b 8864321588796067/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (.f64 c a) (if (<=.f64 b 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 d a) (if (<=.f64 b 2797086701083129/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (.f64 c a) (if (<=.f64 b 1624611148898915/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 d a) (if (<=.f64 b 4791283953481569/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 c a) (.f64 b a))))))))
(if (<=.f64 b 7222776792870423/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (.f64 c a) (if (<=.f64 b 5369794484714055/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (.f64 a d) (if (<=.f64 b 8864321588796067/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (.f64 c a) (if (<=.f64 b 7960701989857939/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 a d) (if (<=.f64 b 2797086701083129/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (.f64 c a) (if (<=.f64 b 1624611148898915/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 a d) (if (<=.f64 b 4791283953481569/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 c a) (.f64 b a))))))))
(if (<=.f64 b 5346064200726803/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 c a) (.f64 b a))
(*.f64 b a)

Compiler

Compiled 152 to 91 computations (40.1% saved)

soundness0.0ms (0%)

end56.0ms (0.9%)

Compiler: Compiled 128 to 58 computations (54.7% saved)