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)

sample1.8s (24.8%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

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

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 260

Calls

Call 1

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

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

eval74.0ms (1%)

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

prune61.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	251	9	260
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	251	10	261

Error

Counts

261 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.9b	(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
	6.1b	(/.f64 (.f64 (.f64 a a) (-.f64 (pow.f64 (+.f64 c b) 2) (.f64 d d))) (.f64 a (+.f64 c (-.f64 b d))))
▶	0.0b	(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
	23.4b	(*.f64 (+.f64 d b) a)
▶	41.7b	(*.f64 d a)
	38.8b	(*.f64 c a)
▶	43.3b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	18.9b	(*.f64 a (+.f64 c d))
	20.9b	(*.f64 a (+.f64 c b))

Compiler

Compiled 229 to 141 computations (38.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

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

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

simplify133.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/l*`
740×	`associate-r`
722×	`+-commutative`
604×	`associate-l`
572×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	451	10323
1	1331	10093
2	6354	10093

Stop Event

1×	node limit

Counts

245 → 248

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

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

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)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 b b) (.f64 (+.f64 c d) (+.f64 c d)))
✓	0.0b	(*.f64 (+.f64 c d) (+.f64 c d))
✓	0.5b	(.f64 (-.f64 (.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) a)
✓	5.6b	(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) a) (-.f64 b (+.f64 c d)))

Compiler

Compiled 69 to 11 computations (84.1% saved)

series18.0ms (0.3%)

Counts

4 → 156

Calls

39 calls:

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

rewrite121.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`associate-/r/`
656×	`associate-+l+`
400×	`+-commutative`
374×	`associate-+r+`
338×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	310	88
2	4957	88

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

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

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

simplify193.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-r`
1498×	`associate-l`
986×	`*-commutative`
968×	`+-commutative`
898×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	948	26523
1	3188	26249

Stop Event

1×	node limit

Counts

473 → 609

Calls

Call 1

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

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

eval288.0ms (4.1%)

Compiler: Compiled 28464 to 9683 computations (66% saved)

prune219.0ms (3.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	949	4	953
Fresh	1	3	4
Picked	1	0	1
Done	1	4	5
Total	952	11	963

Error

Counts

963 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (+.f64 c d) a (*.f64 a b))
	22.5b	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
	23.4b	(+.f64 (.f64 d a) (.f64 a b))
▶	20.8b	(+.f64 (.f64 c a) (.f64 a b))
▶	23.4b	(*.f64 (+.f64 d b) a)
✓	41.7b	(*.f64 d a)
▶	38.8b	(*.f64 c a)
✓	43.3b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	18.9b	(*.f64 a (+.f64 c d))
▶	20.9b	(*.f64 a (+.f64 c b))

Compiler

Compiled 186 to 119 computations (36% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1548×	`associate-+l+`
774×	`distribute-lft-in`
716×	`distribute-rgt-in`
688×	`associate--r+`
626×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	2522
1	359	2120
2	1316	2120
3	4846	2120

Stop Event

1×	node limit

Counts

88 → 67

Calls

Call 1

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

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

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)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 35

Calls

Call 1

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

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

localize31.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 27

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 52

Calls

Call 1

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

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

eval49.0ms (0.7%)

Compiler: Compiled 2477 to 729 computations (70.6% saved)

prune29.0ms (0.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	1	1	2
Picked	0	1	1
Done	1	7	8
Total	181	11	192

Error

Counts

192 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(fma.f64 c a (*.f64 a b))
▶	22.5b	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
▶	23.4b	(+.f64 (.f64 d a) (.f64 b a))
✓	20.8b	(+.f64 (.f64 c a) (.f64 a b))
✓	23.4b	(*.f64 (+.f64 d b) a)
✓	41.7b	(*.f64 d a)
✓	38.8b	(*.f64 c a)
✓	43.3b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	18.9b	(*.f64 a (+.f64 c d))
✓	20.9b	(*.f64 a (+.f64 c b))

Compiler

Compiled 108 to 70 computations (35.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

79 → 52

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (-.f64 (.f64 d d) (*.f64 c c)) a)
✓	11.3b	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))

Compiler

Compiled 45 to 10 computations (77.8% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
1.0ms	d	@	0	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
1.0ms	d	@	inf	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
1.0ms	c	@	0	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
0.0ms	c	@	inf	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`distribute-lft-in`
1162×	`associate-/r/`
970×	`associate-/l/`
336×	`associate-+l+`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	253	38
2	3861	38

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-+r+`
988×	`associate-l`
976×	`associate-r`
842×	`associate-/l*`
704×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	8079
1	1288	7335
2	7049	7333

Stop Event

1×	node limit

Counts

219 → 224

Calls

Call 1

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

Outputs
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a (+.f64 c d))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(/.f64 (*.f64 (-.f64 (pow.f64 d 2) (pow.f64 c 2)) a) (-.f64 d c))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 a (-.f64 d c)))
(.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (/.f64 a (-.f64 d c)))
(.f64 -1 (.f64 (pow.f64 c 2) a))
(neg.f64 (.f64 a (.f64 c c)))
(.f64 c (.f64 a (neg.f64 c)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(*.f64 a (pow.f64 d 2))
(.f64 a (.f64 d d))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(*.f64 a (pow.f64 d 2))
(.f64 a (.f64 d d))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(*.f64 a (pow.f64 d 2))
(.f64 a (.f64 d d))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(.f64 -1 (.f64 (pow.f64 c 2) a))
(neg.f64 (.f64 a (.f64 c c)))
(.f64 c (.f64 a (neg.f64 c)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(.f64 -1 (.f64 (pow.f64 c 2) a))
(neg.f64 (.f64 a (.f64 c c)))
(.f64 c (.f64 a (neg.f64 c)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 -1 (*.f64 (pow.f64 c 2) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
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(+.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) (.f64 (.f64 a (+.f64 d c)) (fma.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 c) c)))
(fma.f64 (+.f64 c d) (.f64 a (-.f64 d c)) (.f64 (*.f64 a (+.f64 c d)) (fma.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 c) c)))
(.f64 a (+.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (*.f64 (+.f64 c d) (fma.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 c) c))))
(+.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) (.f64 (.f64 a (+.f64 d c)) (fma.f64 (neg.f64 (cbrt.f64 c)) (pow.f64 (cbrt.f64 c) 2) c)))
(fma.f64 (+.f64 c d) (.f64 a (-.f64 d c)) (.f64 a (*.f64 (+.f64 c d) (fma.f64 (neg.f64 (cbrt.f64 c)) (pow.f64 (cbrt.f64 c) 2) c))))
(.f64 a (+.f64 (fma.f64 c (neg.f64 c) (.f64 d d)) (*.f64 (+.f64 c d) (fma.f64 (neg.f64 (cbrt.f64 c)) (pow.f64 (cbrt.f64 c) 2) c))))
(+.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 c (neg.f64 c))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (.f64 d d)) (+.f64 (.f64 a (.f64 c (neg.f64 c))) (.f64 a (fma.f64 (neg.f64 c) c (.f64 c c)))))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 a (.f64 d d)) (+.f64 (.f64 a (.f64 c (neg.f64 c))) (.f64 (fma.f64 (neg.f64 c) c (.f64 c c)) a)))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 a (.f64 d d)) (.f64 a (+.f64 (.f64 c (neg.f64 c)) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 (*.f64 c (neg.f64 c)) 1)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (.f64 c (neg.f64 c))) (.f64 a (.f64 d d)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (fma.f64 (neg.f64 c) c (.f64 c c))) (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 (.f64 d d) a) (.f64 (.f64 c (neg.f64 c)) a))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 (.f64 d d) a) (+.f64 (.f64 (.f64 c (neg.f64 c)) a) (.f64 a (fma.f64 (neg.f64 c) c (.f64 c c)))))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 (.f64 d d) a) (+.f64 (.f64 (.f64 c (neg.f64 c)) a) (.f64 (fma.f64 (neg.f64 c) c (.f64 c c)) a)))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 (.f64 c (neg.f64 c)) a) (.f64 (.f64 d d) a))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 (fma.f64 (neg.f64 c) c (.f64 c c)) a) (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(+.f64 (.f64 a (.f64 (+.f64 d c) d)) (.f64 a (.f64 (+.f64 d c) (neg.f64 c))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 a (.f64 d (+.f64 d c))) (.f64 a (.f64 (neg.f64 c) (+.f64 d c))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 1 (.f64 a (.f64 d d))) (.f64 1 (.f64 a (.f64 c (neg.f64 c)))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 1 (.f64 (.f64 d d) a)) (.f64 1 (.f64 (.f64 c (neg.f64 c)) a)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 (.f64 a (+.f64 d c)) d) (.f64 (.f64 a (+.f64 d c)) (neg.f64 c)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 (.f64 a (+.f64 d c)) d) (.f64 (.f64 a (+.f64 d c)) (*.f64 (neg.f64 c) 1)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(+.f64 (.f64 (.f64 a (+.f64 d c)) (neg.f64 c)) (.f64 (.f64 a (+.f64 d c)) d))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)))) 1)
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)))) (-.f64 1 (.f64 a (fma.f64 (neg.f64 c) c (.f64 c c)))))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)))) (-.f64 1 (.f64 (fma.f64 (neg.f64 c) c (.f64 c c)) a)))
(.f64 a (+.f64 (.f64 d d) (fma.f64 c (neg.f64 c) (fma.f64 (neg.f64 c) c (*.f64 c c)))))
(.f64 a (fma.f64 d d (fma.f64 c (neg.f64 c) (.f64 c (*.f64 0 c)))))
(/.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) 1)
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(/.f64 (.f64 a (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (fma.f64 d d (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) (-.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (.f64 a (-.f64 (pow.f64 d 6) (pow.f64 c 6))) (+.f64 (pow.f64 c 4) (+.f64 (pow.f64 (.f64 d c) 2) (pow.f64 d 4))))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 c d) 2) (pow.f64 d 4))) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(.f64 (/.f64 a (+.f64 (pow.f64 (.f64 c d) 2) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(.f64 (/.f64 a (+.f64 (pow.f64 (.f64 c d) 2) (+.f64 (pow.f64 c 4) (pow.f64 d 4)))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(/.f64 (.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) a) (fma.f64 d d (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) (-.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (.f64 (-.f64 (pow.f64 d 6) (pow.f64 c 6)) a) (+.f64 (pow.f64 c 4) (+.f64 (pow.f64 (.f64 d c) 2) (pow.f64 d 4))))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 c d) 2) (pow.f64 d 4))) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(.f64 (/.f64 a (+.f64 (pow.f64 (.f64 c d) 2) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(.f64 (/.f64 a (+.f64 (pow.f64 (.f64 c d) 2) (+.f64 (pow.f64 c 4) (pow.f64 d 4)))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(pow.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) 1)
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(pow.f64 (sqrt.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a))) 2)
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(pow.f64 (cbrt.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a))) 3)
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(pow.f64 (pow.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) 3) 1/3)
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(sqrt.f64 (pow.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) 2))
(sqrt.f64 (pow.f64 (.f64 a (-.f64 (.f64 d d) (*.f64 c c))) 2))
(fabs.f64 (.f64 a (fma.f64 c (neg.f64 c) (.f64 d d))))
(log.f64 (exp.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a)) 3))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 d d) (*.f64 c c)) 3) (pow.f64 a 3)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 (.f64 d d) (*.f64 c c)) 3)))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(exp.f64 (log.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 d c) (*.f64 (-.f64 d c) a))) 1))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 d c) (.f64 (-.f64 d c) a))))
(fma.f64 a (.f64 d d) (neg.f64 (.f64 a (*.f64 c c))))
(.f64 a (fma.f64 c (neg.f64 c) (.f64 d d)))

localize23.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-/l*`
692×	`+-commutative`
648×	`*-commutative`
588×	`associate-+r+`
588×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	859
1	191	841
2	882	833
3	2725	803
4	7349	803

Stop Event

1×	node limit

Counts

59 → 36

Calls

Call 1

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

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

eval60.0ms (0.9%)

Compiler: Compiled 5834 to 1558 computations (73.3% saved)

prune59.0ms (0.8%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	312	11	323

Error

Counts

323 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(fma.f64 c a (*.f64 a b))
✓	22.5b	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
✓	23.4b	(+.f64 (.f64 d a) (.f64 b a))
✓	20.8b	(+.f64 (.f64 c a) (.f64 a b))
✓	23.4b	(*.f64 (+.f64 d b) a)
✓	41.7b	(*.f64 d a)
✓	38.8b	(*.f64 c a)
✓	43.3b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	18.9b	(*.f64 a (+.f64 c d))
✓	20.9b	(*.f64 a (+.f64 c b))

Compiler

Compiled 108 to 70 computations (35.2% saved)

regimes66.0ms (0.9%)

Counts

16 → 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 (+.f64 b c) d))
(+.f64 (.f64 c a) (.f64 a b))
(+.f64 (.f64 d a) (.f64 a b))
(+.f64 (.f64 d a) (.f64 b a))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
(fma.f64 c a (*.f64 a b))
(fma.f64 (+.f64 c d) a (*.f64 a b))
(/.f64 (.f64 (.f64 a a) (-.f64 (pow.f64 (+.f64 c b) 2) (.f64 d d))) (.f64 a (+.f64 c (-.f64 b d))))

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

Calls

7 calls:

10.0ms	d
9.0ms	b
9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
9.0ms	(+.f64 (+.f64 b c) d)
9.0ms	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 179 to 78 computations (56.4% saved)

regimes64.0ms (0.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	(+.f64 (+.f64 b c) d)
9.0ms	d
9.0ms	(+.f64 b c)
8.0ms	c
8.0ms	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 150 to 68 computations (54.7% saved)

regimes48.0ms (0.7%)

Counts

10 → 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 (+.f64 b c) d))
(+.f64 (.f64 c a) (.f64 a b))
(+.f64 (.f64 d a) (.f64 a b))
(+.f64 (.f64 d a) (.f64 b a))

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

Calls

7 calls:

8.0ms	(+.f64 b c)
7.0ms	(+.f64 (+.f64 b c) d)
7.0ms	b
7.0ms	d
6.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

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

Compiler

Compiled 103 to 54 computations (47.6% saved)

regimes85.0ms (1.2%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	a
21.0ms	b
17.0ms	c
14.0ms	d

Results

Error	Segments	Branch
13.3b	6	`a`
7.3b	4	`b`
7.7b	4	`c`
9.0b	2	`d`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch29.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
9.0ms	3.945856084057165e-89	2.955299748763056e-88
15.0ms	1.052605210521484e-102	3.2051578278497893e-97
5.0ms	2.4375044764084444e-134	3.267960925368458e-134

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 378 to 265 computations (29.9% saved)

regimes505.0ms (7.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

379.0ms	c
92.0ms	d
26.0ms	a
8.0ms	b

Results

Error	Segments	Branch
13.0b	7	`a`
8.5b	2	`b`
15.8b	5	`c`
9.0b	2	`d`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	8.475059811002369e-107	1.1131357259058778e-105

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 138 to 97 computations (29.7% saved)

regimes384.0ms (5.4%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

259.0ms	b
95.0ms	c
20.0ms	d
10.0ms	a

Results

Error	Segments	Branch
19.4b	3	`a`
18.2b	5	`b`
19.2b	3	`c`
11.4b	4	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch21.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
6.0ms	1.030822222216468e-57	1.953192766255837e-57
6.0ms	1.4535358349920227e-61	2.3494315164987277e-61
8.0ms	7.774428249055187e-70	2.0089898225511566e-69

Results

19.0ms

208×

body

256

valid

Compiler

Compiled 252 to 182 computations (27.8% saved)

regimes446.0ms (6.3%)

Counts

3 → 10

Calls

Call 1

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

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

Calls

4 calls:

268.0ms	b
100.0ms	c
46.0ms	a
31.0ms	d

Results

Error	Segments	Branch
31.1b	8	`a`
23.5b	10	`b`
26.4b	4	`c`
24.2b	7	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch454.0ms (6.4%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
71.0ms	3.945856084057165e-89	2.955299748763056e-88
14.0ms	1.052605210521484e-102	3.2051578278497893e-97
5.0ms	2.4375044764084444e-134	3.267960925368458e-134
240.0ms	2.4485178661632273e-176	4.355141301472177e-173
6.0ms	3.6592094716760756e-190	5.904320858587519e-190
11.0ms	1.1230744913010455e-239	1.9331466634359357e-238
9.0ms	6.901792520506197e-258	5.299737173170897e-257
89.0ms	1.859019418547633e-276	5.1241637132263476e-276
9.0ms	1.594489839934587e-297	6.577004636612236e-297

Results

363.0ms

864×

body

256

valid

Compiler

Compiled 882 to 661 computations (25.1% saved)

regimes396.0ms (5.6%)

Accuracy

Total -33.0b remaining (-120.7%)

Threshold costs -33.0b (-120.7%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

4 calls:

362.0ms	d
12.0ms	c
11.0ms	a
10.0ms	b

Results

Error	Segments	Branch
35.0b	4	`a`
27.4b	4	`b`
27.8b	4	`c`
33.2b	9	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch29.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
10.0ms	3.945856084057165e-89	2.955299748763056e-88
14.0ms	1.052605210521484e-102	3.2051578278497893e-97
5.0ms	2.4375044764084444e-134	3.267960925368458e-134

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
16×	`if-if-or-not`
14×	`*-commutative`
10×	`+-commutative`
8×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	453
1	108	441
2	120	441
3	132	425
4	136	425
5	140	425

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 c d) a (*.f64 a b))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(*.f64 a (+.f64 (+.f64 b c) d))
(if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 a (+.f64 c d)) (if (<=.f64 b 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (.f64 (+.f64 d b) a) (if (<=.f64 b 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (+.f64 c d)) (.f64 (+.f64 d b) a))))
(if (<=.f64 b 6817139678149439/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 d 3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 a (+.f64 c b)) (if (<=.f64 d 6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 d a) (if (<=.f64 d 3710378836034607/3533694129556768659166595001485837031654967793751237916243212402585239552) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (<=.f64 b 2393089101128715/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 c a) (if (<=.f64 b 6985441083371519/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 d a) (if (<=.f64 b 8385090798185279/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 c a) (if (<=.f64 b 3096850691881939/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (.f64 d a) (if (<=.f64 b 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 c a) (if (<=.f64 b 1086030176313877/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (.f64 d a) (if (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 c a) (if (<=.f64 b 1346748258665827/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 b a) (if (<=.f64 b 1863467625491933/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 c a) (.f64 b a))))))))))
(if (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 c a) (if (<=.f64 b 8003532508642629/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 b a) (if (<=.f64 b 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 c a) (.f64 b a))))
(*.f64 b a)

Outputs
(fma.f64 (+.f64 c d) a (*.f64 a b))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 (+.f64 c d) a) (.f64 a b))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 d (+.f64 c b)))
(if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 a (+.f64 c d)) (if (<=.f64 b 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (.f64 (+.f64 d b) a) (if (<=.f64 b 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (+.f64 c d)) (.f64 (+.f64 d b) a))))
(if (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 (+.f64 c d) a) (if (or (<=.f64 b 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (not (<=.f64 b 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664))) (.f64 a (+.f64 d b)) (*.f64 (+.f64 c d) a)))
(if (or (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (not (or (<=.f64 b 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (not (<=.f64 b 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664))))) (.f64 (+.f64 c d) a) (.f64 a (+.f64 d b)))
(if (or (<=.f64 b 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (and (not (<=.f64 b 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392)) (<=.f64 b 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664))) (.f64 (+.f64 c d) a) (.f64 a (+.f64 d b)))
(if (<=.f64 b 6817139678149439/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 b 6817139678149439/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (+.f64 c d) a) (.f64 a (+.f64 c b)))
(if (<=.f64 d 3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 a (+.f64 c b)) (if (<=.f64 d 6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 d a) (if (<=.f64 d 3710378836034607/3533694129556768659166595001485837031654967793751237916243212402585239552) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (or (<=.f64 d 3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (not (or (<=.f64 d 6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984) (not (<=.f64 d 3710378836034607/3533694129556768659166595001485837031654967793751237916243212402585239552))))) (.f64 a (+.f64 c b)) (.f64 d a))
(if (or (<=.f64 d 3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (and (not (<=.f64 d 6658045131145681/28948022309329048855892746252171976963317496166410141009864396001978282409984)) (<=.f64 d 3710378836034607/3533694129556768659166595001485837031654967793751237916243212402585239552))) (.f64 a (+.f64 c b)) (.f64 d a))
(if (<=.f64 b 2393089101128715/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 c a) (if (<=.f64 b 6985441083371519/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 d a) (if (<=.f64 b 8385090798185279/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 c a) (if (<=.f64 b 3096850691881939/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (.f64 d a) (if (<=.f64 b 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 c a) (if (<=.f64 b 1086030176313877/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (.f64 d a) (if (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 c a) (if (<=.f64 b 1346748258665827/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 b a) (if (<=.f64 b 1863467625491933/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 c a) (.f64 b a))))))))))
(if (<=.f64 b 2393089101128715/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 c a) (if (<=.f64 b 6985441083371519/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 d a) (if (<=.f64 b 8385090798185279/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 c a) (if (<=.f64 b 3096850691881939/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (.f64 d a) (if (<=.f64 b 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 c a) (if (<=.f64 b 1086030176313877/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (.f64 d a) (if (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 c a) (if (<=.f64 b 1346748258665827/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 a b) (if (<=.f64 b 1863467625491933/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 c a) (.f64 a b))))))))))
(if (<=.f64 b 2393089101128715/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 c a) (if (<=.f64 b 6985441083371519/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 d a) (if (<=.f64 b 8385090798185279/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 c a) (if (<=.f64 b 3096850691881939/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (.f64 d a) (if (<=.f64 b 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (.f64 c a) (if (<=.f64 b 1086030176313877/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (.f64 d a) (if (or (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (and (not (<=.f64 b 1346748258665827/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848)) (<=.f64 b 1863467625491933/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416))) (.f64 c a) (.f64 a b))))))))
(if (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 c a) (if (<=.f64 b 8003532508642629/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 b a) (if (<=.f64 b 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 c a) (.f64 b a))))
(if (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 c a) (if (<=.f64 b 8003532508642629/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 a b) (if (<=.f64 b 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 c a) (.f64 a b))))
(if (or (<=.f64 b 5933020476811757/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (and (not (<=.f64 b 8003532508642629/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136)) (<=.f64 b 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664))) (.f64 c a) (.f64 a b))
(*.f64 b a)
(*.f64 a b)

Compiler

Compiled 201 to 124 computations (38.3% saved)

soundness0.0ms (0%)

end64.0ms (0.9%)

Compiler: Compiled 169 to 78 computations (53.8% saved)

Details

analyze0.0ms (0%)

sample1.8s (24.8%)

preprocess19.0ms (0.3%)

simplify16.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite81.0ms (1.1%)

simplify112.0ms (1.6%)

eval74.0ms (1%)

prune61.0ms (0.9%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite94.0ms (1.3%)

simplify133.0ms (1.9%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

localize14.0ms (0.2%)

series18.0ms (0.3%)

rewrite121.0ms (1.7%)

simplify193.0ms (2.7%)

eval288.0ms (4.1%)

prune219.0ms (3.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite67.0ms (0.9%)

simplify74.0ms (1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (0.8%)

simplify72.0ms (1%)

localize31.0ms (0.4%)

series2.0ms (0%)

rewrite50.0ms (0.7%)

simplify57.0ms (0.8%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite61.0ms (0.9%)

simplify44.0ms (0.6%)

eval49.0ms (0.7%)

prune29.0ms (0.4%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (0.8%)

simplify64.0ms (0.9%)

localize15.0ms (0.2%)

series7.0ms (0.1%)

rewrite85.0ms (1.2%)

simplify107.0ms (1.5%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite52.0ms (0.7%)

simplify67.0ms (0.9%)

eval60.0ms (0.9%)

prune59.0ms (0.8%)

regimes66.0ms (0.9%)

regimes64.0ms (0.9%)

regimes48.0ms (0.7%)

regimes85.0ms (1.2%)

bsearch29.0ms (0.4%)

regimes505.0ms (7.1%)

bsearch9.0ms (0.1%)

regimes384.0ms (5.4%)

bsearch21.0ms (0.3%)

regimes446.0ms (6.3%)

bsearch454.0ms (6.4%)

regimes396.0ms (5.6%)

bsearch29.0ms (0.4%)

simplify17.0ms (0.2%)

soundness0.0ms (0%)

end64.0ms (0.9%)

Profiling