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)

sample1.0s (15.3%)

Results

990.0ms

8256×

body

256

valid

Bogosity

preprocess83.0ms (1.3%)

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)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series193.0ms (3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
189.0ms	b	@	inf	(+.f64 c (+.f64 b d))
0.0ms	c	@	-inf	(*.f64 a (+.f64 c (+.f64 b d)))
0.0ms	a	@	-inf	(*.f64 a (+.f64 c (+.f64 b d)))
0.0ms	a	@	0	(*.f64 a (+.f64 c (+.f64 b d)))
0.0ms	a	@	inf	(*.f64 a (+.f64 c (+.f64 b d)))

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

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

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

simplify553.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

235 → 256

Calls

Call 1

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

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

eval62.0ms (0.9%)

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

prune67.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Error

Counts

257 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2)
▶	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.0b	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
	20.8b	(*.f64 (+.f64 d b) a)
▶	41.8b	(*.f64 d a)
	42.4b	(*.f64 c a)
▶	39.9b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
▶	22.0b	(*.f64 a (+.f64 c d))
	20.8b	(*.f64 a (+.f64 c b))

Compiler

Compiled 187 to 125 computations (33.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 63

Calls

21 calls:

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

rewrite156.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	227	32
2	3313	32

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

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

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

simplify184.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

820×	`associate-/l*`
746×	`+-commutative`
738×	`associate-r`
606×	`associate-l`
576×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	9996
1	1337	9766
2	6387	9766

Stop Event

1×	node limit

Counts

224 → 251

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (1.3%)

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))))))

simplify75.0ms (1.1%)

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series4.0ms (0.1%)

Counts

2 → 63

Calls

21 calls:

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

rewrite115.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b a) (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a d)) (*.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a b)) (*.f64 1 (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 d a)) (*.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 b a)) (*.f64 1 (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a d) 1) (*.f64 (*.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d a) 1) (*.f64 (*.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify211.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	9290
1	1266	8766
2	5861	8766

Stop Event

1×	node limit

Counts

222 → 247

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

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

eval152.0ms (2.3%)

Compiler: Compiled 13875 to 4214 computations (69.6% saved)

prune157.0ms (2.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	531	4	535
Fresh	1	3	4
Picked	1	0	1
Done	1	4	5
Total	534	11	545

Error

Counts

545 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 1 (/.f64 1 (*.f64 a (+.f64 c (+.f64 b d)))))
	22.0b	(+.f64 (.f64 c a) (.f64 a d))
	20.8b	(+.f64 (.f64 a b) (.f64 c a))
▶	20.8b	(+.f64 (.f64 a b) (.f64 a d))
▶	20.8b	(*.f64 (+.f64 d b) a)
✓	41.8b	(*.f64 d a)
▶	42.4b	(*.f64 c a)
✓	39.9b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
✓	22.0b	(*.f64 a (+.f64 c d))
▶	20.8b	(*.f64 a (+.f64 c b))

Compiler

Compiled 180 to 121 computations (32.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 14 computations (68.2% saved)

series6.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite90.0ms (1.4%)

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	44
1	273	44
2	3667	44

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a (+.f64 c b)))))) (#(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 b a) (+.f64 (*.f64 d a) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 (+.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (+.f64 (*.f64 b a) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) 1) (*.f64 (*.f64 a (+.f64 b d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (+.f64 b d)) 1) (*.f64 (*.f64 a c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a c) (*.f64 a d)) (*.f64 a b))))) (#(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 (*.f64 a c) (*.f64 d a)) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (+.f64 c b))) (*.f64 1 (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 a c) 1)) (*.f64 1 (*.f64 (*.f64 a (+.f64 b d)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (+.f64 c b) a)) (*.f64 1 (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (+.f64 c b) 1)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (*.f64 a c))) (*.f64 -1 (neg.f64 (*.f64 a (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c (+.f64 b d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (*.f64 a (neg.f64 (+.f64 c (+.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c (+.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c (+.f64 b d)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c (+.f64 b d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c (+.f64 b d))) (*.f64 (sqrt.f64 (+.f64 c (+.f64 b d))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 b d))) 2) (*.f64 (cbrt.f64 (+.f64 c (+.f64 b d))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2) (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 a (neg.f64 (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (neg.f64 (+.f64 c (+.f64 b d)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (sqrt.f64 (+.f64 c (+.f64 b d)))) (sqrt.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 c (+.f64 b d))) 2)) (cbrt.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c (+.f64 b d)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c (+.f64 b d)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 c (+.f64 b d))) -2))) (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 a (+.f64 c (+.f64 b d))) -1/2) -1) (pow.f64 (pow.f64 (*.f64 a (+.f64 c (+.f64 b d))) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 c (+.f64 b d))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c (+.f64 b d)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 1) (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2) 1) (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a (+.f64 c (+.f64 b d))) -2))) 1) (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 1 a))) (neg.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (/.f64 1 a))) (+.f64 c (+.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2))) (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 c (+.f64 b d))) a))) (sqrt.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 b d))) 2))) (cbrt.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c (+.f64 b d)) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c (+.f64 b d)) (/.f64 1 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c (+.f64 b d)) (/.f64 1 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) (sqrt.f64 (/.f64 1 a))) (sqrt.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) (sqrt.f64 -1)) (sqrt.f64 (*.f64 a (neg.f64 (+.f64 c (+.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2) -1) (cbrt.f64 (*.f64 a (neg.f64 (+.f64 c (+.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c (+.f64 b d)))) 2) (cbrt.f64 (/.f64 1 a))) (cbrt.f64 (+.f64 c (+.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (-.f64 (*.f64 c c) (pow.f64 (+.f64 b d) 2))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b d) 2))) (+.f64 c (+.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (-.f64 (*.f64 c c) (pow.f64 (+.f64 b d) 2))) (-.f64 (pow.f64 c 3) (pow.f64 (+.f64 b d) 3))) (+.f64 (*.f64 c c) (*.f64 (+.f64 b d) (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 b d) 3))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c))) (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c)))))) (-.f64 (*.f64 c c) (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 b d) 3))) (+.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c))) 3))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c))) (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c)))) (*.f64 (*.f64 c c) (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b d) 2)) a) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b d) 2))) (+.f64 c (+.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b d) 2)) a) (-.f64 (pow.f64 c 3) (pow.f64 (+.f64 b d) 3))) (+.f64 (*.f64 c c) (*.f64 (+.f64 b d) (+.f64 c (+.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 b d) 3)) a) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c))) (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c)))))) (-.f64 (*.f64 c c) (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 b d) 3)) a) (+.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 (+.f64 b d) (+.f64 b (-.f64 d c))) 3))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 (*.f64 (+.f64 b 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simplify401.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-+r+`
962×	`+-commutative`
852×	`associate-+l+`
712×	`*-commutative`
696×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	9724
1	1666	9462
2	6761	9458

Stop Event

1×	node limit

Counts

244 → 294

Calls

Call 1

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

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

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 b))

Compiler

Compiled 15 to 6 computations (60% saved)

localize7.0ms (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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts

1 → 18

Calls

9 calls:

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

rewrite62.0ms (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 a b) (.f64 a d))

Outputs

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

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-+r+`
1104×	`times-frac`
976×	`associate-+l+`
544×	`associate-/l*`
522×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1333
1	317	1283
2	1282	1283
3	5731	1283

Stop Event

1×	node limit

Counts

61 → 55

Calls

Call 1

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

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

eval209.0ms (3.2%)

Compiler: Compiled 17204 to 6396 computations (62.8% saved)

prune162.0ms (2.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	787	2	789
Fresh	1	1	2
Picked	0	1	1
Done	1	7	8
Total	789	11	800

Error

Counts

800 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.2b	(/.f64 1 (/.f64 (/.f64 1 a) (+.f64 c d)))
▶	22.0b	(+.f64 (.f64 c a) (.f64 a d))
▶	20.8b	(+.f64 (.f64 a c) (.f64 a b))
✓	20.8b	(+.f64 (.f64 a b) (.f64 a d))
✓	20.8b	(*.f64 (+.f64 d b) a)
✓	41.8b	(*.f64 d a)
✓	42.4b	(*.f64 c a)
✓	39.9b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
✓	22.0b	(*.f64 a (+.f64 c d))
✓	20.8b	(*.f64 a (+.f64 c b))

Compiler

Compiled 105 to 71 computations (32.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.9%)

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 a c) (.f64 a b))

Outputs

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

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-+r+`
1104×	`times-frac`
988×	`associate-+l+`
544×	`associate-/l*`
522×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1567
1	318	1517
2	1288	1517
3	5763	1517

Stop Event

1×	node limit

Counts

79 → 51

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

simplify44.0ms (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))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`associate-/r*`
1060×	`*-commutative`
978×	`associate-/l*`
682×	`associate-/r/`
548×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	221	32
2	3118	32

Stop Event

1×	node limit

Counts

2 → 179

Calls

Call 1

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

Outputs

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

simplify132.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1362×	`distribute-lft-neg-out`
656×	`*-commutative`
638×	`associate-r`
550×	`associate-l`
522×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	7435
1	1394	6971
2	5414	6775

Stop Event

1×	node limit

Counts

251 → 268

Calls

Call 1

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

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

eval622.0ms (9.5%)

Compiler: Compiled 6097 to 2547 computations (58.2% saved)

prune105.0ms (1.6%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	372	0	372
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	372	11	383

Error

Counts

383 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.2b	(/.f64 1 (/.f64 (/.f64 1 a) (+.f64 c d)))
✓	22.0b	(+.f64 (.f64 c a) (.f64 a d))
✓	20.8b	(+.f64 (.f64 a c) (.f64 a b))
✓	20.8b	(+.f64 (.f64 a b) (.f64 a d))
✓	20.8b	(*.f64 (+.f64 d b) a)
✓	41.8b	(*.f64 d a)
✓	42.4b	(*.f64 c a)
✓	39.9b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 c (+.f64 b d)))
✓	22.0b	(*.f64 a (+.f64 c d))
✓	20.8b	(*.f64 a (+.f64 c b))

Compiler

Compiled 105 to 71 computations (32.4% saved)

regimes102.0ms (1.6%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

7 calls:

43.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
11.0ms	c
9.0ms	(+.f64 b c)
9.0ms	d
9.0ms	a

Results

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

Compiler

Compiled 165 to 74 computations (55.2% saved)

regimes115.0ms (1.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

42.0ms	a
33.0ms	d
8.0ms	(+.f64 (+.f64 b c) d)
8.0ms	c
7.0ms	(+.f64 b c)

Results

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

Compiler

Compiled 117 to 60 computations (48.7% saved)

regimes390.0ms (6%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

4 calls:

287.0ms	b
54.0ms	a
28.0ms	c
20.0ms	d

Results

Error	Segments	Branch
13.8b	7	`a`
4.9b	4	`b`
6.1b	5	`c`
6.9b	4	`d`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch32.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	3.3152943993675076e-79	6.60279991093913e-77
10.0ms	9.42252455644358e-147	2.5093263362106473e-146
9.0ms	1.2217028107274904e-171	1.1113015500132614e-170

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 378 to 265 computations (29.9% saved)

regimes83.0ms (1.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	a
30.0ms	c
14.0ms	d
8.0ms	b

Results

Error	Segments	Branch
15.2b	6	`a`
6.5b	2	`b`
15.2b	6	`c`
8.5b	2	`d`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2217028107274904e-171	1.1113015500132614e-170

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 138 to 97 computations (29.7% saved)

regimes56.0ms (0.9%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	c
14.0ms	d
14.0ms	b
7.0ms	a

Results

Error	Segments	Branch
20.8b	1	`a`
17.2b	4	`b`
17.3b	5	`c`
12.9b	2	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.276853955508991e-89	1.0622217531382266e-88

Results

7.0ms

80×

body

256

valid

Compiler

Compiled 108 to 78 computations (27.8% saved)

regimes90.0ms (1.4%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	a
27.0ms	c
21.0ms	d
13.0ms	b

Results

Error	Segments	Branch
33.0b	9	`a`
25.1b	4	`b`
23.2b	7	`c`
25.7b	6	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch59.0ms (0.9%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	3.2193875139286283e-124	6.31365664481484e-122
8.0ms	1.0386634670628571e-183	3.9279860210789464e-183
9.0ms	2.555337166119989e-195	3.0093680664857724e-194
10.0ms	1.4381729375611308e-208	1.3317605148748204e-207
11.0ms	5.755670079433375e-227	4.027367393225092e-225
10.0ms	2.2091439044623307e-269	1.1240523952802362e-268

Results

53.0ms

592×

body

256

valid

Compiler

Compiled 610 to 457 computations (25.1% saved)

regimes44.0ms (0.7%)

Accuracy

Total -32.1b remaining (-114%)

Threshold costs -32.1b (-114%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	a
14.0ms	d
8.0ms	c
6.0ms	b

Results

Error	Segments	Branch
35.9b	6	`a`
28.2b	2	`b`
28.4b	2	`c`
36.8b	5	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.4701982210007454e-160	4.334779154475671e-157

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 146 to 109 computations (25.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	314
1	77	314

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 b d)))
(if (<=.f64 b 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 a (+.f64 c d)) (if (<=.f64 b 1349674138362959/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 a (+.f64 c b)) (if (<=.f64 b 3024591017661445/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (+.f64 d b) a) (.f64 a (+.f64 c b)))))
(if (<=.f64 b 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 d 7310526838468353/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 c 1226788949494171/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 b a) (if (<=.f64 c 8535058474086213/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 d a) (if (<=.f64 c 2168842720287911/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (.f64 b a) (if (<=.f64 c 6164221759627/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 d a) (if (<=.f64 c 6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 b a) (if (<=.f64 c 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.f64 d a) (*.f64 c a)))))))
(if (<=.f64 b 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (.f64 c a) (.f64 b a))
(*.f64 b a)

Outputs
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 b d)))
(if (<=.f64 b 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 a (+.f64 c d)) (if (<=.f64 b 1349674138362959/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 a (+.f64 c b)) (if (<=.f64 b 3024591017661445/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (+.f64 d b) a) (.f64 a (+.f64 c b)))))
(if (<=.f64 b 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 a (+.f64 c d)) (if (or (<=.f64 b 1349674138362959/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (not (<=.f64 b 3024591017661445/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256))) (.f64 a (+.f64 c b)) (*.f64 a (+.f64 b d))))
(if (<=.f64 b 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 d 7310526838468353/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 d 7310526838468353/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (+.f64 c b)) (.f64 a d))
(if (<=.f64 c 1226788949494171/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 b a) (if (<=.f64 c 8535058474086213/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 d a) (if (<=.f64 c 2168842720287911/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (.f64 b a) (if (<=.f64 c 6164221759627/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 d a) (if (<=.f64 c 6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 b a) (if (<=.f64 c 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.f64 d a) (*.f64 c a)))))))
(if (<=.f64 c 1226788949494171/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 a b) (if (<=.f64 c 8535058474086213/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 a d) (if (<=.f64 c 2168842720287911/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (.f64 a b) (if (<=.f64 c 6164221759627/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 a d) (if (<=.f64 c 6458488739636145/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (.f64 a b) (if (<=.f64 c 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.f64 a d) (*.f64 a c)))))))
(if (<=.f64 b 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (.f64 c a) (.f64 b a))
(if (<=.f64 b 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (.f64 a c) (.f64 a b))
(*.f64 b a)
(*.f64 a b)

Compiler

Compiled 160 to 95 computations (40.6% saved)

soundness14.0ms (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

Compiler

Compiled 25 to 13 computations (48% saved)

end50.0ms (0.8%)

Compiler: Compiled 132 to 53 computations (59.8% saved)

Details

analyze0.0ms (0%)

sample1.0s (15.3%)

preprocess83.0ms (1.3%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series193.0ms (3%)

rewrite81.0ms (1.2%)

simplify553.0ms (8.4%)

eval62.0ms (0.9%)

prune67.0ms (1%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite156.0ms (2.4%)

simplify184.0ms (2.8%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite87.0ms (1.3%)

simplify75.0ms (1.1%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite115.0ms (1.8%)

simplify211.0ms (3.2%)

eval152.0ms (2.3%)

prune157.0ms (2.4%)

localize14.0ms (0.2%)

series6.0ms (0.1%)

rewrite90.0ms (1.4%)

simplify401.0ms (6.1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

localize7.0ms (0.1%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite62.0ms (1%)

simplify62.0ms (1%)

eval209.0ms (3.2%)

prune162.0ms (2.5%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite61.0ms (0.9%)

simplify64.0ms (1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (0.9%)

simplify44.0ms (0.7%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite79.0ms (1.2%)

simplify132.0ms (2%)

eval622.0ms (9.5%)

prune105.0ms (1.6%)

regimes102.0ms (1.6%)

regimes115.0ms (1.7%)

regimes390.0ms (6%)

bsearch32.0ms (0.5%)

regimes83.0ms (1.3%)

bsearch9.0ms (0.1%)

regimes56.0ms (0.9%)

bsearch8.0ms (0.1%)

regimes90.0ms (1.4%)

bsearch59.0ms (0.9%)

regimes44.0ms (0.7%)

bsearch14.0ms (0.2%)

simplify10.0ms (0.1%)

soundness14.0ms (0.2%)

end50.0ms (0.8%)

Profiling