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)

sample1.5s (23.7%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

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)

series5.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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))))))

simplify84.0ms (1.4%)

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

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	12	104

Error

0.0b

Counts

104 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (+.f64 b c) a (*.f64 a d))
	9.5b	(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (/.f64 (-.f64 (+.f64 b c) d) a))
	0.3b	(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	0.0b	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
	23.3b	(*.f64 (+.f64 d b) a)
▶	42.2b	(*.f64 d a)
	39.7b	(*.f64 c a)
▶	43.1b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	19.5b	(*.f64 a (+.f64 c d))
	21.5b	(*.f64 a (+.f64 c b))

Compiler

Compiled 251 to 161 computations (35.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

Outputs

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

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 64

Calls

Call 1

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

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

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 37

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

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	a	@	inf	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
1.0ms	a	@	-inf	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
0.0ms	a	@	0	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
0.0ms	c	@	-inf	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
0.0ms	c	@	0	(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/l*`
744×	`+-commutative`
736×	`associate-r`
602×	`associate-l`
576×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	9996
1	1336	9766
2	6401	9766

Stop Event

1×	node limit

Counts

224 → 251

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

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

eval83.0ms (1.3%)

Compiler: Compiled 8217 to 2417 computations (70.6% saved)

prune65.0ms (1.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	348	4	352
Fresh	0	6	6
Picked	1	0	1
Done	1	4	5
Total	350	14	364

Error

Counts

364 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 a b (fma.f64 c a (*.f64 a d)))
	9.5b	(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (/.f64 (-.f64 (+.f64 b c) d) a))
▶	0.3b	(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
	0.2b	(+.f64 (/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c))) (*.f64 a d))
	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	19.5b	(+.f64 (.f64 c a) (.f64 a d))
	23.3b	(+.f64 (.f64 a b) (.f64 a d))
▶	23.3b	(*.f64 (+.f64 d b) a)
✓	42.2b	(*.f64 d a)
▶	39.7b	(*.f64 c a)
✓	43.1b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	19.5b	(*.f64 a (+.f64 c d))
	21.5b	(*.f64 a (+.f64 c b))

Compiler

Compiled 290 to 179 computations (38.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite106.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1944×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1778×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	197	34
2	2363	34

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1070×	`fma-def`
740×	`unswap-sqr`
692×	`associate--r+`
686×	`*-commutative`
656×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	2292
1	341	2266
2	1828	2244
3	6387	2244

Stop Event

1×	node limit

Counts

132 → 81

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 27

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite91.0ms (1.5%)

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 (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

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

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

localize26.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series10.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(/.f64 1 (+.f64 b (+.f64 c d)))
1.0ms	b	@	0	(/.f64 1 (+.f64 b (+.f64 c d)))
1.0ms	d	@	0	(/.f64 1 (+.f64 b (+.f64 c d)))
1.0ms	c	@	0	(/.f64 1 (+.f64 b (+.f64 c d)))
1.0ms	d	@	-inf	(/.f64 1 (+.f64 b (+.f64 c d)))

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	246	38
2	3563	38

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b a) (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 c d) a) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 b c) a) (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (+.f64 b c) 1)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a b)) (*.f64 1 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (+.f64 c d))) (*.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (+.f64 b c))) (*.f64 1 (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 b a)) (*.f64 1 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (+.f64 c d) a)) (*.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (+.f64 b c) a)) (*.f64 1 (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a -1) (neg.f64 b)) (*.f64 (/.f64 a -1) (neg.f64 (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a -1) (neg.f64 (+.f64 c d))) (*.f64 (/.f64 a -1) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a -1) (neg.f64 (+.f64 b c))) (*.f64 (/.f64 a -1) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 d (+.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (neg.f64 (neg.f64 (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d (+.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))) 2))))) (#(struct:change #<rule 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simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-+r+`
926×	`+-commutative`
824×	`associate-+l+`
638×	`associate-r`
582×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	446	7177
1	1420	6859
2	5939	6859

Stop Event

1×	node limit

Counts

207 → 250

Calls

Call 1

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

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

eval121.0ms (1.9%)

Compiler: Compiled 7282 to 2693 computations (63% saved)

prune79.0ms (1.3%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	407	4	411
Fresh	2	3	5
Picked	1	0	1
Done	1	7	8
Total	411	14	425

Error

Counts

425 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(fma.f64 a b (*.f64 c a))
▶	21.7b	(/.f64 a (/.f64 1 (+.f64 c b)))
	10.8b	(/.f64 a (.f64 (/.f64 1 (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (+.f64 c (-.f64 b d))))
▶	0.2b	(+.f64 (/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c))) (*.f64 a d))
▶	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	23.3b	(+.f64 (.f64 d a) (.f64 b a))
✓	19.5b	(+.f64 (.f64 c a) (.f64 a d))
✓	23.3b	(*.f64 (+.f64 d b) a)
✓	42.2b	(*.f64 d a)
✓	39.7b	(*.f64 c a)
✓	43.1b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	19.5b	(*.f64 a (+.f64 c d))
▶	21.5b	(*.f64 a (+.f64 c b))

Compiler

Compiled 261 to 161 computations (38.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series3.0ms (0%)

Counts

1 → 39

Calls

12 calls:

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

rewrite74.0ms (1.2%)

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	19
1	221	19
2	3134	19

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`unswap-sqr`
992×	`associate-/r/`
928×	`associate-/l/`
522×	`+-commutative`
494×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	281	6900
1	879	6220
2	4236	6220

Stop Event

1×	node limit

Counts

132 → 172

Calls

Call 1

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(+.f64 (.f64 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))))))

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

79 → 52

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite100.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs
(/.f64 a (/.f64 1 (+.f64 c b)))
(/.f64 1 (+.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 1 (*.f64 a c)) (*.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a b)) (*.f64 1 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 a) (neg.f64 c)) (*.f64 (neg.f64 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) 1) (*.f64 (*.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 b) (neg.f64 a)) (*.f64 (neg.f64 c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (neg.f64 (neg.f64 (+.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c b))) (sqrt.f64 (*.f64 a (+.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (+.f64 c b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c b)) (*.f64 a (sqrt.f64 (+.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 (cbrt.f64 (*.f64 a (+.f64 c b))) (/.f64 (pow.f64 (cbrt.f64 a) 2) 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simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1328×	`unswap-sqr`
556×	`distribute-lft-neg-out`
506×	`+-commutative`
498×	`associate-r`
488×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5160
1	1063	4874
2	4107	4738

Stop Event

1×	node limit

Counts

184 → 190

Calls

Call 1

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

Outputs
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a b) (.f64 c a))
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(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 c b))))
(/.f64 1 (+.f64 c b))
(exp.f64 (neg.f64 (log.f64 (+.f64 c b))))
(/.f64 1 (+.f64 c b))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 c b))))
(/.f64 1 (+.f64 c b))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 11 computations (82% saved)

series12.0ms (0.2%)

Counts

4 → 144

Calls

39 calls:

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

rewrite182.0ms (2.9%)

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

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

simplify311.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-+r+`
842×	`associate-l`
756×	`+-commutative`
744×	`associate-r`
600×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	476	7287
1	1335	6135
2	7160	6135

Stop Event

1×	node limit

Counts

341 → 269

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

eval245.0ms (4%)

Compiler: Compiled 17794 to 5188 computations (70.8% saved)

prune175.0ms (2.8%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	799	3	802
Fresh	2	0	2
Picked	1	0	1
Done	0	11	11
Total	802	14	816

Error

Counts

816 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	21.6b	(/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c)))
✓	21.7b	(/.f64 a (/.f64 1 (+.f64 c b)))
	0.1b	(+.f64 (.f64 (/.f64 (+.f64 c b) (/.f64 (neg.f64 (-.f64 b c)) a)) (neg.f64 (-.f64 b c))) (.f64 a d))
	0.1b	(+.f64 (.f64 (-.f64 b c) (.f64 (+.f64 c b) (/.f64 a (-.f64 b c)))) (*.f64 a d))
✓	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
✓	23.3b	(+.f64 (.f64 d a) (.f64 b a))
✓	19.5b	(+.f64 (.f64 c a) (.f64 a d))
✓	23.3b	(*.f64 (+.f64 d b) a)
✓	42.2b	(*.f64 d a)
✓	39.7b	(*.f64 c a)
✓	43.1b	(*.f64 b a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	19.5b	(*.f64 a (+.f64 c d))
✓	21.5b	(*.f64 a (+.f64 c b))

Compiler

Compiled 166 to 102 computations (38.6% saved)

regimes95.0ms (1.5%)

Counts

23 → 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 a b) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 d a) (.f64 b a))
(/.f64 a (/.f64 1 (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
(/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c)))
(+.f64 (.f64 (-.f64 b c) (.f64 (+.f64 c b) (/.f64 a (-.f64 b c)))) (*.f64 a d))
(+.f64 (/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c))) (*.f64 a d))
(+.f64 (.f64 (/.f64 (+.f64 c b) (/.f64 (neg.f64 (-.f64 b c)) a)) (neg.f64 (-.f64 b c))) (.f64 a d))
(/.f64 a (.f64 (/.f64 1 (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (+.f64 c (-.f64 b d))))
(fma.f64 a b (*.f64 c a))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (/.f64 (-.f64 (+.f64 b c) d) a))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))

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

Calls

7 calls:

14.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
13.0ms	d
13.0ms	b
13.0ms	a
13.0ms	(+.f64 b c)

Results

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

Compiler

Compiled 264 to 97 computations (63.3% saved)

regimes87.0ms (1.4%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 c a)
(*.f64 d a)
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c d))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 d a) (.f64 b a))
(/.f64 a (/.f64 1 (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
(/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c)))
(+.f64 (.f64 (-.f64 b c) (.f64 (+.f64 c b) (/.f64 a (-.f64 b c)))) (*.f64 a d))
(+.f64 (/.f64 (+.f64 c b) (/.f64 (/.f64 (-.f64 b c) a) (-.f64 b c))) (*.f64 a d))
(+.f64 (.f64 (/.f64 (+.f64 c b) (/.f64 (neg.f64 (-.f64 b c)) a)) (neg.f64 (-.f64 b c))) (.f64 a d))
(/.f64 a (.f64 (/.f64 1 (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (+.f64 c (-.f64 b d))))
(fma.f64 a b (*.f64 c a))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (/.f64 (-.f64 (+.f64 b c) d) a))

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

Calls

7 calls:

14.0ms	(+.f64 b c)
13.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
12.0ms	d
12.0ms	b
11.0ms	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 255 to 95 computations (62.7% saved)

regimes75.0ms (1.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 230 to 88 computations (61.7% saved)

regimes54.0ms (0.9%)

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

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

Calls

7 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
8.0ms	b
8.0ms	(+.f64 b c)
7.0ms	(+.f64 (+.f64 b c) d)
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 59 computations (50.4% saved)

regimes85.0ms (1.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	a
19.0ms	d
14.0ms	b
11.0ms	c

Results

Error	Segments	Branch
13.1b	8	`a`
6.6b	3	`b`
8.5b	2	`c`
8.6b	3	`d`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	1.0276513416201838e-130	9.892274848385804e-130
12.0ms	2.773288876925541e-149	9.427678381962529e-147

Results

22.0ms

224×

body

256

valid

Compiler

Compiled 298 to 209 computations (29.9% saved)

regimes89.0ms (1.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	a
30.0ms	c
8.0ms	b
8.0ms	d

Results

Error	Segments	Branch
12.2b	10	`a`
7.7b	2	`b`
15.1b	7	`c`
10.0b	2	`d`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	2.2273644585042172e-118	1.4713898630646783e-117

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 138 to 97 computations (29.7% saved)

regimes69.0ms (1.1%)

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:

24.0ms	b
18.0ms	d
15.0ms	c
11.0ms	a

Results

Error	Segments	Branch
20.1b	3	`a`
17.6b	7	`b`
18.7b	4	`c`
14.5b	4	`d`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch34.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	4.120846348371657e-81	1.0884302265374485e-79
10.0ms	6.199014204555021e-126	5.077489360632345e-125
13.0ms	6.91375005763686e-141	1.76548876276672e-136

Results

29.0ms

336×

body

256

valid

Compiler

Compiled 396 to 286 computations (27.8% saved)

regimes85.0ms (1.4%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	a
21.0ms	b
18.0ms	c
15.0ms	d

Results

Error	Segments	Branch
31.7b	9	`a`
26.2b	6	`b`
24.8b	6	`c`
26.7b	5	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch45.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
8.0ms	1.7063445228096536e-120	3.653737522332692e-120
10.0ms	4.181942547216958e-181	4.261016346584206e-180
5.0ms	6.978681639998567e-211	9.00175554509983e-211
11.0ms	8.611819310999185e-217	3.2060487651201873e-215
12.0ms	2.5308262607444832e-278	1.651688460182565e-276

Results

40.0ms

448×

body

256

valid

Compiler

Compiled 466 to 349 computations (25.1% saved)

regimes51.0ms (0.8%)

Accuracy

Total -31.0b remaining (-106.2%)

Threshold costs -31.0b (-106.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	d
13.0ms	b
13.0ms	a
5.0ms	c

Results

Error	Segments	Branch
36.2b	4	`a`
29.3b	4	`b`
29.2b	2	`c`
34.9b	5	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	4.129154940664154e-103	9.458016939603905e-103

Results

7.0ms

80×

body

256

valid

Compiler

Compiled 98 to 73 computations (25.5% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	364
1	81	358
2	84	358
3	87	354
4	88	354
5	89	354

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 (+.f64 b c) d))
(if (<=.f64 b 4750852967037615/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (.f64 a (+.f64 c d)) (if (<=.f64 b 405827311541079/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 c b))))
(if (<=.f64 b 5337721881545863/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 d 4451811226738753/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 a (+.f64 c b)) (if (<=.f64 d 1333754873792233/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (.f64 d a) (if (<=.f64 d 8330349440091549/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (<=.f64 c 8981281392906239/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (.f64 d a) (if (<=.f64 c 1552518092300709/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (.f64 b a) (if (<=.f64 c 5034028543302927/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624) (.f64 d a) (if (<=.f64 c 1810376437072487/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (.f64 b a) (if (<=.f64 c 9937248183729/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 d a) (.f64 c a))))))
(if (<=.f64 c 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (.f64 b a) (.f64 c a))
(*.f64 b a)

Outputs
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 a (+.f64 b d)) (.f64 a c))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 d (+.f64 b c)))
(if (<=.f64 b 4750852967037615/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (.f64 a (+.f64 c d)) (if (<=.f64 b 405827311541079/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (.f64 (+.f64 d b) a) (*.f64 a (+.f64 c b))))
(if (<=.f64 b 4750852967037615/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (.f64 a (+.f64 c d)) (if (<=.f64 b 405827311541079/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (.f64 a (+.f64 b d)) (*.f64 a (+.f64 b c))))
(if (<=.f64 b 5337721881545863/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (.f64 a (+.f64 c d)) (.f64 a (+.f64 c b)))
(if (<=.f64 b 5337721881545863/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (.f64 a (+.f64 c d)) (.f64 a (+.f64 b c)))
(if (<=.f64 d 4451811226738753/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 a (+.f64 c b)) (if (<=.f64 d 1333754873792233/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (.f64 d a) (if (<=.f64 d 8330349440091549/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 a (+.f64 c b)) (.f64 d a))))
(if (<=.f64 d 4451811226738753/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 a (+.f64 b c)) (if (<=.f64 d 1333754873792233/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (.f64 a d) (if (<=.f64 d 8330349440091549/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 a (+.f64 b c)) (.f64 a d))))
(if (or (<=.f64 d 4451811226738753/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (not (or (<=.f64 d 1333754873792233/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (not (<=.f64 d 8330349440091549/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144))))) (.f64 a (+.f64 b c)) (.f64 a d))
(if (or (<=.f64 d 4451811226738753/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (and (not (<=.f64 d 1333754873792233/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232)) (<=.f64 d 8330349440091549/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144))) (.f64 a (+.f64 b c)) (.f64 a d))
(if (<=.f64 c 8981281392906239/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (.f64 d a) (if (<=.f64 c 1552518092300709/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (.f64 b a) (if (<=.f64 c 5034028543302927/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624) (.f64 d a) (if (<=.f64 c 1810376437072487/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (.f64 b a) (if (<=.f64 c 9937248183729/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 d a) (.f64 c a))))))
(if (<=.f64 c 8981281392906239/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (.f64 a d) (if (<=.f64 c 1552518092300709/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (.f64 a b) (if (<=.f64 c 5034028543302927/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624) (.f64 a d) (if (<=.f64 c 1810376437072487/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (.f64 a b) (if (<=.f64 c 9937248183729/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 a d) (.f64 a c))))))
(if (<=.f64 c 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (.f64 b a) (.f64 c a))
(if (<=.f64 c 8473007412472669/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (.f64 a b) (.f64 a c))
(*.f64 b a)
(*.f64 a b)

Compiler

Compiled 182 to 109 computations (40.1% saved)

soundness72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 45 to 14 computations (68.9% saved)

end564.0ms (9.1%)

Compiler: Compiled 146 to 56 computations (61.6% saved)