Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.1s (18.9%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess9.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite66.0ms (1.2%)

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	19
1	205	19
2	3041	19

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

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

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1410×	`associate-/l*`
1038×	`*-commutative`
1014×	`associate-/r*`
922×	`+-commutative`
896×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3460
1	583	3350
2	2535	3344
3	7896	3344

Stop Event

1×	node limit

Counts

110 → 103

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

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

eval22.0ms (0.4%)

Compiler: Compiled 2116 to 686 computations (67.6% saved)

prune23.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Error

Counts

104 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
▶	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.0b	(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
	19.5b	(*.f64 (+.f64 d b) a)
▶	38.9b	(*.f64 d a)
	42.8b	(*.f64 c a)
▶	42.2b	(*.f64 b a)
▶	20.4b	(*.f64 a (+.f64 c d))
	23.2b	(*.f64 a (+.f64 c b))

Compiler

Compiled 176 to 118 computations (33% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 63

Calls

21 calls:

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

rewrite94.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs
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Outputs

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simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

222 → 247

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 37

Calls

Call 1

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

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

localize10.0ms (0.2%)

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)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite78.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

141 → 170

Calls

Call 1

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

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

eval582.0ms (10.4%)

Compiler: Compiled 13085 to 4000 computations (69.4% saved)

prune480.0ms (8.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	487	4	491
Fresh	1	3	4
Picked	1	0	1
Done	0	4	4
Total	489	11	500

Error

Counts

500 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (/.f64 (+.f64 b d) (/.f64 (/.f64 (-.f64 d b) a) (-.f64 d b))) (*.f64 c a))
✓	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
	19.5b	(+.f64 (.f64 d a) (.f64 a b))
	20.3b	(+.f64 (.f64 c a) (.f64 a d))
▶	23.2b	(+.f64 (.f64 c a) (.f64 a b))
▶	19.5b	(*.f64 (+.f64 d b) a)
✓	38.9b	(*.f64 d a)
▶	42.8b	(*.f64 c a)
✓	42.2b	(*.f64 b a)
✓	20.4b	(*.f64 a (+.f64 c d))
▶	23.2b	(*.f64 a (+.f64 c b))

Compiler

Compiled 194 to 122 computations (37.1% saved)

localize56.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 11 computations (82% saved)

series5.0ms (0.1%)

Counts

4 → 144

Calls

39 calls:

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

rewrite114.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`distribute-lft-in`
406×	`associate-+l+`
338×	`add-sqr-sqrt`
336×	`pow1`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	124
1	309	120
2	5118	120

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-+r+`
832×	`associate-l`
754×	`+-commutative`
738×	`associate-r`
598×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	7289
1	1345	6135
2	7158	6135

Stop Event

1×	node limit

Counts

341 → 272

Calls

Call 1

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

Outputs
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(*.f64 a d)
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(/.f64 1 a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(/.f64 d a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(/.f64 d a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(/.f64 d a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (/.f64 d a) (*.f64 -1 (/.f64 b a)))
(/.f64 (-.f64 d b) a)
(+.f64 (.f64 a d) (.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b 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)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a d)
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(*.f64 a (+.f64 (+.f64 c d) b))
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(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(.f64 (cbrt.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (*.f64 a c))) 2))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))) 2) (cbrt.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (*.f64 a c))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (pow.f64 (.f64 a c) 2)) (/.f64 1 (-.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) (.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 a (+.f64 d b)) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a (+.f64 d b)) (.f64 a c)))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 3) (pow.f64 (.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 (+.f64 b d) (*.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 3) (pow.f64 (.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 (/.f64 a (-.f64 d b)) (*.f64 (+.f64 d b) (-.f64 d b)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 d b)) 3) (pow.f64 (.f64 a c) 3)) (fma.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 a (+.f64 d b)))) (pow.f64 (.f64 a (+.f64 d b)) 2)))
(/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) (.f64 a c)) (-.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (pow.f64 (.f64 a c) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) (.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 a (+.f64 d b)) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a (+.f64 d b)) (.f64 a c)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))))) (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 3) (pow.f64 (.f64 a c) 3))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 3) (pow.f64 (.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 (/.f64 a (-.f64 d b)) (*.f64 (+.f64 d b) (-.f64 d b)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 d b)) 3) (pow.f64 (.f64 a c) 3)) (fma.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 a (+.f64 d b)))) (pow.f64 (.f64 a (+.f64 d b)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) (.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) (.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 a (+.f64 d b)) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a (+.f64 d b)) (.f64 a c)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 3) (pow.f64 (.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 (/.f64 a (-.f64 d b)) (*.f64 (+.f64 d b) (-.f64 d b)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 d b)) 3) (pow.f64 (.f64 a c) 3)) (fma.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 a (+.f64 d b)))) (pow.f64 (.f64 a (+.f64 d b)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2)) (-.f64 (.f64 a c) (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2)) (-.f64 (.f64 a c) (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b)))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a (+.f64 d b)) 2)) (-.f64 (.f64 a c) (.f64 a (+.f64 d b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (pow.f64 (.f64 a c) 2))) (neg.f64 (-.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) (.f64 a c))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2)) (-.f64 (.f64 a c) (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b)))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a (+.f64 d b)) 2)) (-.f64 (.f64 a c) (.f64 a (+.f64 d b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 3) (pow.f64 (.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) 2) (.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 3) (pow.f64 (.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b))) 2) (.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 (/.f64 a (-.f64 d b)) (.f64 (+.f64 d b) (-.f64 d b)))))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 d b)) 3) (pow.f64 (.f64 a c) 3)) (fma.f64 a (.f64 c (-.f64 (.f64 a c) (.f64 a (+.f64 d b)))) (pow.f64 (*.f64 a (+.f64 d b)) 2))))
(pow.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c)) 1)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))) 2)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))) 3)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(pow.f64 (pow.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c)) 3) 1/3)
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 d b) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c)) 2))
(fabs.f64 (*.f64 a (+.f64 d (+.f64 b c))))
(log.f64 (exp.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c)) 3))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(exp.f64 (log.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (*.f64 a c))) 1))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))) (.f64 a c))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 a c (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 c a (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 1 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))) (*.f64 a c))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 1 (.f64 a c) (.f64 (+.f64 b d) (*.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))) (sqrt.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))) (*.f64 a c))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b)))))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))) 2) (cbrt.f64 (.f64 (+.f64 b d) (.f64 (-.f64 d b) (/.f64 a (-.f64 d b))))) (*.f64 a c))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b c)))
(fma.f64 (.f64 (+.f64 b d) (/.f64 a (-.f64 d b))) (-.f64 d b) (.f64 a c))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 d (+.f64 b 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	@	inf	(*.f64 a (+.f64 c b))
0.0ms	b	@	0	(*.f64 a (+.f64 c b))

rewrite54.0ms (1%)

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))))))

simplify54.0ms (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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

localize7.0ms (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)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

simplify43.0ms (0.8%)

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))

eval83.0ms (1.5%)

Compiler: Compiled 9039 to 2174 computations (75.9% saved)

prune85.0ms (1.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	446	2	448
Fresh	1	1	2
Picked	0	1	1
Done	1	7	8
Total	448	11	459

Error

Counts

459 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.7b	(/.f64 (+.f64 b d) (/.f64 (/.f64 (-.f64 d b) a) (-.f64 d b)))
✓	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	19.5b	(+.f64 (.f64 d a) (.f64 b a))
▶	20.3b	(+.f64 (.f64 c a) (.f64 a d))
✓	23.2b	(+.f64 (.f64 c a) (.f64 a b))
✓	19.5b	(*.f64 (+.f64 d b) a)
✓	38.9b	(*.f64 d a)
✓	42.8b	(*.f64 c a)
✓	42.2b	(*.f64 b a)
✓	20.4b	(*.f64 a (+.f64 c d))
✓	23.2b	(*.f64 a (+.f64 c b))

Compiler

Compiled 111 to 71 computations (36% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

79 → 52

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 d b) a)
	0.2b	(/.f64 (/.f64 (-.f64 d b) a) (-.f64 d b))
	0.3b	(/.f64 (+.f64 b d) (/.f64 (/.f64 (-.f64 d b) a) (-.f64 d b)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

eval54.0ms (1%)

Compiler: Compiled 5386 to 1387 computations (74.2% saved)

prune58.0ms (1%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	305	11	316

Error

Counts

316 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.7b	(/.f64 (+.f64 b d) (/.f64 (/.f64 (-.f64 d b) a) (-.f64 d b)))
✓	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	19.5b	(+.f64 (.f64 d a) (.f64 b a))
✓	20.3b	(+.f64 (.f64 c a) (.f64 a d))
✓	23.2b	(+.f64 (.f64 c a) (.f64 a b))
✓	19.5b	(*.f64 (+.f64 d b) a)
✓	38.9b	(*.f64 d a)
✓	42.8b	(*.f64 c a)
✓	42.2b	(*.f64 b a)
✓	20.4b	(*.f64 a (+.f64 c d))
✓	23.2b	(*.f64 a (+.f64 c b))

Compiler

Compiled 111 to 71 computations (36% saved)

regimes68.0ms (1.2%)

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

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

Calls

7 calls:

10.0ms	(+.f64 (+.f64 b c) d)
10.0ms	c
10.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
10.0ms	a
9.0ms	b

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 168 to 69 computations (58.9% saved)

regimes57.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
8.0ms	(+.f64 (+.f64 b c) d)
8.0ms	b
8.0ms	c
7.0ms	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 119 to 57 computations (52.1% saved)

regimes55.0ms (1%)

Counts

11 → 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 c a) (.f64 a d))
(+.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:

9.0ms	a
8.0ms	c
8.0ms	(+.f64 (+.f64 b c) d)
8.0ms	(+.f64 b c)
8.0ms	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 110 to 56 computations (49.1% saved)

regimes188.0ms (3.4%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

4 calls:

95.0ms	a
49.0ms	c
33.0ms	d
10.0ms	b

Results

Error	Segments	Branch
12.0b	10	`a`
8.9b	2	`b`
5.8b	6	`c`
5.6b	7	`d`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch85.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
9.0ms	1.1528873981740915e-32	4.777924606413372e-32
10.0ms	4.68380552577767e-87	6.755048395498627e-86
31.0ms	1.0802834053669627e-98	8.655306832362779e-97
11.0ms	3.5084441468901707e-113	4.9186478756081114e-111
14.0ms	1.9897897098785522e-126	5.858821557879352e-124
9.0ms	1.7614681879061537e-138	5.2475752535510686e-138

Results

78.0ms

624×

body

256

valid

Compiler

Compiled 798 to 559 computations (29.9% saved)

regimes95.0ms (1.7%)

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

Calls

4 calls:

29.0ms	a
28.0ms	b
24.0ms	c
13.0ms	d

Results

Error	Segments	Branch
15.2b	7	`a`
8.9b	2	`b`
15.1b	6	`c`
7.7b	2	`d`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	1.7614681879061537e-138	5.2475752535510686e-138

Results

7.0ms

80×

body

256

valid

Compiler

Compiled 118 to 83 computations (29.7% saved)

regimes141.0ms (2.5%)

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:

58.0ms	a
40.0ms	b
26.0ms	c
15.0ms	d

Results

Error	Segments	Branch
18.2b	9	`a`
20.5b	4	`b`
16.2b	6	`c`
10.4b	4	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch71.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
47.0ms	1.9603664066671153e-75	5.727411863812607e-74
12.0ms	1.0802834053669627e-98	8.655306832362779e-97
12.0ms	3.5084441468901707e-113	4.9186478756081114e-111

Results

68.0ms

336×

body

256

valid

Compiler

Compiled 396 to 286 computations (27.8% saved)

regimes139.0ms (2.5%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	a
30.0ms	d
22.0ms	c
16.0ms	b

Results

Error	Segments	Branch
29.5b	16	`a`
26.7b	4	`b`
25.1b	6	`c`
21.8b	9	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch146.0ms (2.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
9.0ms	4.68380552577767e-87	6.755048395498627e-86
11.0ms	1.0802834053669627e-98	8.655306832362779e-97
79.0ms	6.831776053961852e-115	1.4732122509473864e-114
6.0ms	1.4111499066047827e-145	2.157327254853293e-145
5.0ms	3.4464067593285484e-157	4.329828478446341e-157
13.0ms	3.0043142443035723e-169	1.7552121173665527e-165
9.0ms	3.068528294194298e-257	1.430186864101006e-256
13.0ms	1.4300666222895154e-287	6.996192593639113e-285

Results

138.0ms

752×

body

256

valid

Compiler

Compiled 770 to 577 computations (25.1% saved)

regimes261.0ms (4.7%)

Accuracy

Total -28.1b remaining (-87.5%)

Threshold costs -28.1b (-87.5%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

198.0ms	d
47.0ms	a
8.0ms	b
7.0ms	c

Results

Error	Segments	Branch
39.4b	3	`a`
32.2b	2	`b`
32.4b	2	`c`
37.5b	6	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	1.8607260657962505e-123	1.9983860461796944e-123

Results

1.0ms

16×

body

256

valid

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	481
1	103	475
2	109	475
3	115	467
4	117	467
5	119	467

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(*.f64 a (+.f64 (+.f64 b c) d))
(if (<=.f64 d 1843573590367107/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (.f64 a (+.f64 c b)) (if (<=.f64 d 1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (.f64 a (+.f64 c d)) (if (<=.f64 d 4603064921880259/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 a (+.f64 c b)) (if (<=.f64 d 2308711300569989/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 (+.f64 d b) a) (if (<=.f64 d 6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 a (+.f64 c b)) (if (<=.f64 d 2484552783462535/182687704666362864775460604089535377456991567872) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 c d))))))))
(if (<=.f64 d 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 a (+.f64 c b)) (.f64 a (+.f64 c d)))
(if (<=.f64 d 4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (.f64 a (+.f64 c b)) (if (<=.f64 d 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 d a) (if (<=.f64 d 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (<=.f64 d 904085387313413/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 b a) (if (<=.f64 d 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752) (.f64 c a) (if (<=.f64 d 2177665770548745/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 b a) (if (<=.f64 d 6028678535906923/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (.f64 c a) (if (<=.f64 d 8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 b a) (if (<=.f64 d 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 c a) (if (<=.f64 d 1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 d a) (if (<=.f64 d 5319393762672285/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 c a) (*.f64 d a)))))))))
(if (<=.f64 b 5805406258693871/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (.f64 c a) (.f64 b a))
(*.f64 b a)

Outputs
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 a c))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 a (+.f64 d c)) (.f64 b a))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 d (+.f64 b c)))
(if (<=.f64 d 1843573590367107/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (.f64 a (+.f64 c b)) (if (<=.f64 d 1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (.f64 a (+.f64 c d)) (if (<=.f64 d 4603064921880259/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 a (+.f64 c b)) (if (<=.f64 d 2308711300569989/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 (+.f64 d b) a) (if (<=.f64 d 6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 a (+.f64 c b)) (if (<=.f64 d 2484552783462535/182687704666362864775460604089535377456991567872) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 c d))))))))
(if (<=.f64 d 1843573590367107/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (.f64 a (+.f64 b c)) (if (<=.f64 d 1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (.f64 a (+.f64 d c)) (if (<=.f64 d 4603064921880259/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 a (+.f64 b c)) (if (<=.f64 d 2308711300569989/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 (+.f64 d b) a) (if (<=.f64 d 6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 a (+.f64 b c)) (if (<=.f64 d 2484552783462535/182687704666362864775460604089535377456991567872) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 d c))))))))
(if (<=.f64 d 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 a (+.f64 c b)) (.f64 a (+.f64 c d)))
(if (<=.f64 d 7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 a (+.f64 b c)) (.f64 a (+.f64 d c)))
(if (<=.f64 d 4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (.f64 a (+.f64 c b)) (if (<=.f64 d 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 d a) (if (<=.f64 d 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (<=.f64 d 4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (.f64 a (+.f64 b c)) (if (<=.f64 d 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 d a) (if (<=.f64 d 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 a (+.f64 b c)) (.f64 d a))))
(if (or (<=.f64 d 4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (not (or (<=.f64 d 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (not (<=.f64 d 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344))))) (.f64 a (+.f64 b c)) (.f64 d a))
(if (or (<=.f64 d 4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (and (not (<=.f64 d 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848)) (<=.f64 d 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344))) (.f64 a (+.f64 b c)) (.f64 d a))
(if (<=.f64 d 904085387313413/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 b a) (if (<=.f64 d 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752) (.f64 c a) (if (<=.f64 d 2177665770548745/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 b a) (if (<=.f64 d 6028678535906923/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (.f64 c a) (if (<=.f64 d 8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 b a) (if (<=.f64 d 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 c a) (if (<=.f64 d 1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 d a) (if (<=.f64 d 5319393762672285/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 c a) (*.f64 d a)))))))))
(if (<=.f64 d 904085387313413/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 b a) (if (<=.f64 d 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752) (.f64 a c) (if (<=.f64 d 2177665770548745/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 b a) (if (<=.f64 d 6028678535906923/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (.f64 a c) (if (<=.f64 d 8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 b a) (if (<=.f64 d 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (.f64 a c) (if (<=.f64 d 1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (.f64 d a) (if (<=.f64 d 5319393762672285/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 a c) (*.f64 d a)))))))))
(if (<=.f64 d 904085387313413/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) (.f64 b a) (if (<=.f64 d 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752) (.f64 a c) (if (<=.f64 d 2177665770548745/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 b a) (if (<=.f64 d 6028678535906923/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (.f64 a c) (if (<=.f64 d 8772881899359233/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 b a) (if (or (<=.f64 d 4325364722828471/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (and (not (<=.f64 d 1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848)) (<=.f64 d 5319393762672285/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944))) (.f64 a c) (*.f64 d a)))))))
(if (<=.f64 b 5805406258693871/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (.f64 c a) (.f64 b a))
(if (<=.f64 b 5805406258693871/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (.f64 a c) (.f64 b a))
(*.f64 b a)

Compiler

Compiled 222 to 125 computations (43.7% saved)

soundness0.0ms (0%)

end310.0ms (5.5%)

Compiler: Compiled 190 to 76 computations (60% saved)

Details

analyze0.0ms (0%)

sample1.1s (18.9%)

preprocess9.0ms (0.2%)

simplify14.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite66.0ms (1.2%)

simplify88.0ms (1.6%)

eval22.0ms (0.4%)

prune23.0ms (0.4%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite94.0ms (1.7%)

simplify117.0ms (2.1%)

localize4.0ms (0.1%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite57.0ms (1%)

simplify51.0ms (0.9%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite78.0ms (1.4%)

simplify91.0ms (1.6%)

eval582.0ms (10.4%)

prune480.0ms (8.6%)

localize56.0ms (1%)

series5.0ms (0.1%)

rewrite114.0ms (2%)

simplify117.0ms (2.1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (1%)

simplify54.0ms (1%)

localize6.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (1%)

simplify43.0ms (0.8%)

eval83.0ms (1.5%)

prune85.0ms (1.5%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite60.0ms (1.1%)

simplify43.0ms (0.8%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (1%)

simplify64.0ms (1.1%)

localize11.0ms (0.2%)

eval54.0ms (1%)

prune58.0ms (1%)

regimes68.0ms (1.2%)

regimes57.0ms (1%)

regimes55.0ms (1%)

regimes188.0ms (3.4%)

bsearch85.0ms (1.5%)

regimes95.0ms (1.7%)

bsearch8.0ms (0.1%)

regimes141.0ms (2.5%)

bsearch71.0ms (1.3%)

regimes139.0ms (2.5%)

bsearch146.0ms (2.6%)

regimes261.0ms (4.7%)

bsearch2.0ms (0%)

simplify20.0ms (0.4%)

soundness0.0ms (0%)

end310.0ms (5.5%)

Profiling