Details

analyze299.0ms (15.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample966.0ms (49.3%)

Results

889.0ms	8255×	body	256	valid
65.0ms	639×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess17.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

22×	`fma-def_binary64`
19×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
12×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	40	44
2	81	44
3	97	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (/.f64 y 2) (+.f64 (*.f64 x y) z))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y))
(+.f64 (/.f64 x 2) (fma.f64 x z y))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	25	11
3	29	11

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))

eval1.0ms (0%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x y) z)

Compiler

Compiled 27 to 11 computations (59.3% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	y	@	0	(+.f64 (*.f64 x y) z)
0.0ms	x	@	0	(+.f64 (*.f64 x y) z)
0.0ms	x	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	x	@	-inf	(+.f64 (*.f64 x y) z)

rewrite40.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) z)

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

Outputs

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

simplify41.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
485×	`associate-l_binary64`
446×	`div-sub_binary64`
428×	`associate-r_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	494
1	218	469
2	730	469
3	4823	469

Stop Event

1×	node limit

Counts

71 → 41

Calls

Call 1

Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (fma.f64 x y z)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
(*.f64 (fma.f64 x y z) 1)
(*.f64 1 (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x y) z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x y) z) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 x y) 2)) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) 1)
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2))
(log.f64 (exp.f64 (fma.f64 x y z)))
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 1 (*.f64 x y) z)
(fma.f64 1 z (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) z)

Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(-.f64 (+.f64 1 (fma.f64 x y z)) 1)
(fma.f64 y x z)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
(fma.f64 y x z)
(*.f64 (fma.f64 x y z) 1)
(fma.f64 y x z)
(*.f64 1 (fma.f64 x y z))
(fma.f64 y x z)
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))
(fma.f64 y x z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 y (*.f64 x (fma.f64 y x (neg.f64 z))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x y) z)))
(fma.f64 y x z)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 y (*.f64 x (fma.f64 y x (neg.f64 z))))))
(/.f64 1 (/.f64 (-.f64 (.f64 x y) z) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z))))
(fma.f64 y x z)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (.f64 x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 y (*.f64 x (fma.f64 y x (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (*.f64 y z)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 y (*.f64 x (fma.f64 y x (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (-.f64 (*.f64 x y) z))
(fma.f64 y x z)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (-.f64 z (.f64 x y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 y (*.f64 x (fma.f64 y x (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))
(fma.f64 y x z)
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 x y) 2)) (-.f64 z (*.f64 x y)))
(fma.f64 y x z)
(pow.f64 (fma.f64 x y z) 1)
(fma.f64 y x z)
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)
(fma.f64 y x z)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
(fma.f64 y x z)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)
(fma.f64 y x z)
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2))
(fma.f64 y x z)
(log.f64 (exp.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3))
(fma.f64 y x z)
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(exp.f64 (log.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 y x z)
(fma.f64 1 (*.f64 x y) z)
(fma.f64 y x z)
(fma.f64 1 z (*.f64 x y))
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) z)
(fma.f64 y x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 y x z)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) z)
(fma.f64 y x z)

eval9.0ms (0.5%)

Compiler: Compiled 653 to 310 computations (52.5% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	32.2b	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	13.8b	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 30 to 21 computations (30% saved)

localize6.0ms (0.3%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))
1.0ms	x	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))
1.0ms	x	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	y	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))

rewrite42.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary64`
794×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	7
2	2161	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (*.f64 y x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (+.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x y) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (*.f64 1/2 (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 x y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))))))

simplify52.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

585×	`fma-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
438×	`div-sub_binary64`
337×	`times-frac_binary64`
294×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	693
1	287	668
2	1027	640
3	4766	610

Stop Event

1×	node limit

Counts

62 → 50

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(.f64 1 (.f64 x (+.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 x 1/2))))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x y) (*.f64 x 1/2)))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))

Outputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(-.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)
(*.f64 (+.f64 1/2 y) x)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(/.f64 (fma.f64 y (.f64 y x) (.f64 x -1/4)) (+.f64 y -1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 y 1/2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(*.f64 (+.f64 1/2 y) x)
(.f64 1 (.f64 x (+.f64 1/2 y)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 x 1/2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 y (.f64 x (-.f64 y 1/2))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 x 1/4 (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (-.f64 -1/8 (pow.f64 y 3))) (.f64 x (fma.f64 x -1/4 (.f64 (.f64 y x) (-.f64 1/2 y)))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(/.f64 (fma.f64 y (.f64 y x) (.f64 x -1/4)) (+.f64 y -1/2))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 y (.f64 x (-.f64 y 1/2))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 x 1/4 (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (-.f64 -1/8 (pow.f64 y 3))) (.f64 x (fma.f64 x -1/4 (.f64 (.f64 y x) (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(/.f64 (fma.f64 y (.f64 y x) (.f64 x -1/4)) (+.f64 y -1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 y (.f64 x (-.f64 y 1/2))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 x 1/4 (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (-.f64 -1/8 (pow.f64 y 3))) (.f64 x (fma.f64 x -1/4 (.f64 (.f64 y x) (-.f64 1/2 y)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x y))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 y (.f64 x (-.f64 y 1/2))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 x 1/4 (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (-.f64 -1/8 (pow.f64 y 3))) (.f64 x (fma.f64 x -1/4 (.f64 (.f64 y x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(/.f64 (fma.f64 y (.f64 y x) (.f64 x -1/4)) (+.f64 y -1/2))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 y (.f64 x (-.f64 y 1/2))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 x 1/4 (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (-.f64 -1/8 (pow.f64 y 3))) (.f64 x (fma.f64 x -1/4 (.f64 (.f64 y x) (-.f64 1/2 y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(/.f64 (fma.f64 y (.f64 y x) (.f64 x -1/4)) (+.f64 y -1/2))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x y) (*.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(/.f64 (fma.f64 y (.f64 y x) (.f64 x -1/4)) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(*.f64 (+.f64 1/2 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(*.f64 (+.f64 1/2 y) x)
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(*.f64 (+.f64 1/2 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 x y (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 y x (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)

eval13.0ms (0.7%)

Compiler: Compiled 675 to 402 computations (40.4% saved)

prune9.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	47	6	53

Error

Counts

53 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	32.2b	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	13.8b	(+.f64 (/.f64 x 2) z)
▶	32.2b	(*.f64 (+.f64 1/2 y) x)
▶	49.2b	(*.f64 y x)
▶	45.8b	(*.f64 1/2 x)

Compiler

Compiled 50 to 36 computations (28% saved)

localize3.0ms (0.2%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize3.0ms (0.2%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1/2 y) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (+.f64 1/2 y) x)
1.0ms	x	@	inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	y	@	inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	x	@	0	(*.f64 (+.f64 1/2 y) x)

rewrite38.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1652	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))))))

simplify39.0ms (2%)

Algorithm

1×	egg-herbie

Rules

609×	`log-prod_binary64`
480×	`fma-def_binary64`
437×	`*-commutative_binary64`
339×	`associate-l_binary64`
298×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	270
1	154	266
2	465	266
3	2769	266
4	5585	266

Stop Event

1×	node limit

Counts

33 → 30

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 y x) (.f64 1/2 x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y -1/2))) (+.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (-.f64 y 1/2) 1/4)))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 1/2 y) x))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y -1/2))) (+.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (-.f64 y 1/2) 1/4)))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 1/2 y) x))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))

eval6.0ms (0.3%)

Compiler: Compiled 267 to 179 computations (33% saved)

prune7.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	30	6	36

Error

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	32.2b	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	13.8b	(+.f64 (/.f64 x 2) z)
✓	32.2b	(*.f64 (+.f64 1/2 y) x)
✓	49.2b	(*.f64 y x)
✓	45.8b	(*.f64 1/2 x)

Compiler

Compiled 50 to 36 computations (28% saved)

regimes26.0ms (1.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)
(+.f64 (/.f64 x 2) (*.f64 y x))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Calls

5 calls:

5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	x
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms	z
5.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes57.0ms (2.9%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)
(+.f64 (/.f64 x 2) (*.f64 y x))

Outputs
(+.f64 (/.f64 x 2) z)
(+.f64 (/.f64 x 2) (*.f64 y x))
(+.f64 (/.f64 x 2) z)

Calls

4 calls:

16.0ms	y
16.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
16.0ms	z
8.0ms	x

Results

Error	Segments	Branch
11.5b	2	`x`
9.7b	4	`y`
8.3b	3	`z`
9.0b	3	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 48 to 31 computations (35.4% saved)

bsearch31.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	8.883414033439755e-48	1.4348824463071073e-41
16.0ms	-3.395020756395264e-124	-5.106969916650211e-132

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 378 to 283 computations (25.1% saved)

regimes38.0ms (1.9%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)

Outputs
(+.f64 (/.f64 x 2) z)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)

Calls

3 calls:

15.0ms	z
14.0ms	y
8.0ms	x

Results

Error	Segments	Branch
11.5b	2	`x`
9.7b	4	`y`
8.3b	3	`z`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch32.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	8.883414033439755e-48	1.4348824463071073e-41
16.0ms	-3.395020756395264e-124	-5.106969916650211e-132

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 342 to 265 computations (22.5% saved)

regimes12.0ms (0.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)

Outputs
(*.f64 (+.f64 1/2 y) x)

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
32.2b	1	`x`
32.2b	1	`y`
32.2b	1	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes39.0ms (2%)

Accuracy

Total -28.7b remaining (-86.6%)

Threshold costs -28.7b (-86.6%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)

Outputs
(*.f64 y x)
(*.f64 1/2 x)
(*.f64 y x)

Calls

3 calls:

18.0ms	z
11.0ms	x
8.0ms	y

Results

Error	Segments	Branch
41.2b	3	`x`
33.2b	3	`y`
41.6b	7	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch32.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.0033881249429547483	103737.89572024462
17.0ms	-14.582746211182402	-4.836238680376319e-10

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 284 to 222 computations (21.8% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	117
1	39	117

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(if (<=.f64 z -2896153440234563/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (+.f64 (/.f64 x 2) z) (if (<=.f64 z 1908238927557551/100433627766186892221372630771322662657637687111424552206336) (+.f64 (/.f64 x 2) (*.f64 y x)) (+.f64 (/.f64 x 2) z)))
(if (<=.f64 z -1488565707357403/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 (/.f64 x 2) z) (if (<=.f64 z 822752278660603/25711008708143844408671393477458601640355247900524685364822016) (*.f64 (+.f64 1/2 y) x) (+.f64 (/.f64 x 2) z)))
(*.f64 (+.f64 1/2 y) x)
(if (<=.f64 y -1/2) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(*.f64 1/2 x)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(if (<=.f64 z -2896153440234563/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (+.f64 (/.f64 x 2) z) (if (<=.f64 z 1908238927557551/100433627766186892221372630771322662657637687111424552206336) (+.f64 (/.f64 x 2) (*.f64 y x)) (+.f64 (/.f64 x 2) z)))
(if (<=.f64 z -2896153440234563/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (+.f64 (/.f64 x 2) z) (if (<=.f64 z 1908238927557551/100433627766186892221372630771322662657637687111424552206336) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z)))
(if (<=.f64 z -1488565707357403/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 (/.f64 x 2) z) (if (<=.f64 z 822752278660603/25711008708143844408671393477458601640355247900524685364822016) (*.f64 (+.f64 1/2 y) x) (+.f64 (/.f64 x 2) z)))
(if (<=.f64 z -1488565707357403/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 (/.f64 x 2) z) (if (<=.f64 z 822752278660603/25711008708143844408671393477458601640355247900524685364822016) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z)))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 y 1/2))
(if (<=.f64 y -1/2) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(if (<=.f64 y -1/2) (.f64 x y) (if (<=.f64 y 1/2) (.f64 x 1/2) (*.f64 x y)))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 100 to 68 computations (32% saved)

soundness0.0ms (0%)

end46.0ms (2.4%)

Compiler: Compiled 85 to 51 computations (40% saved)

Details

analyze299.0ms (15.3%)

sample966.0ms (49.3%)

preprocess17.0ms (0.9%)

simplify8.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize10.0ms (0.5%)

series4.0ms (0.2%)

rewrite40.0ms (2.1%)

simplify41.0ms (2.1%)

eval9.0ms (0.5%)

prune7.0ms (0.4%)

localize6.0ms (0.3%)

localize7.0ms (0.4%)

series3.0ms (0.2%)

rewrite42.0ms (2.2%)

simplify52.0ms (2.6%)

eval13.0ms (0.7%)

prune9.0ms (0.5%)

localize3.0ms (0.2%)

localize3.0ms (0.2%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite38.0ms (1.9%)

simplify39.0ms (2%)

eval6.0ms (0.3%)

prune7.0ms (0.3%)

regimes26.0ms (1.3%)

regimes57.0ms (2.9%)

bsearch31.0ms (1.6%)

regimes38.0ms (1.9%)

bsearch32.0ms (1.6%)

regimes12.0ms (0.6%)

regimes39.0ms (2%)

bsearch32.0ms (1.6%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end46.0ms (2.4%)

Profiling