Details

analyze116.0ms (3.7%)

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
12.5%	9.4%	65.5%	0.1%	0%	25%	0%	6
18.8%	14%	60.8%	0.1%	0%	25%	0%	7
20%	14%	56.2%	0.1%	4.7%	25%	0%	8
27.7%	14%	36.7%	0.1%	11.7%	37.4%	0%	9
32.8%	14.8%	30.4%	0.1%	17.2%	37.4%	0%	10
35.4%	15.5%	28.3%	0.1%	18.6%	37.4%	0%	11
47.3%	16.4%	18.3%	0.1%	21.4%	43.7%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.1s (65.1%)

Results

1.2s	8256×	body	256	valid
489.0ms	3111×	body	256	infinite
336.0ms	2456×	body	256	invalid

Bogosity

preprocess62.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1636×	`unswap-sqr`
1082×	`associate-r`
924×	`associate-/r/`
808×	`times-frac`
788×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	57	92
2	140	92
3	286	92
4	567	92
5	1288	92
6	5585	92
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z)))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) z) x))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y)))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-*r/`
920×	`associate-/l/`
850×	`associate-/r/`
716×	`unswap-sqr`
614×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	23
2	45	23
3	88	23
4	166	23
5	327	23
6	1059	23
7	2513	23
8	5596	23
9	6725	23

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

eval1.0ms (0%)

Compiler: Compiled 37 to 18 computations (51.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.44%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x (*.f64 y (log.f64 y)))
✓	0.39%	(*.f64 y (log.f64 y))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series55.0ms (1.7%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	y	@	0	(*.f64 y (log.f64 y))
20.0ms	y	@	-inf	(*.f64 y (log.f64 y))
6.0ms	y	@	inf	(*.f64 y (log.f64 y))
2.0ms	x	@	0	(+.f64 x (*.f64 y (log.f64 y)))
0.0ms	x	@	inf	(+.f64 x (*.f64 y (log.f64 y)))

rewrite60.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`add-sqr-sqrt`
1738×	`*-un-lft-identity`
1618×	`add-cube-cbrt`
1600×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	24
2	2149	24

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

Outputs

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

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

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

936×	`associate--r+`
726×	`+-commutative`
704×	`unswap-sqr`
636×	`distribute-lft-in`
610×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1846
1	298	1800
2	1180	1648
3	5934	1648

Stop Event

1×	node limit

Counts

82 → 66

Calls

Call 1

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

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.77%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series17.0ms (0.5%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
5.0ms	z	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
1.0ms	y	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
1.0ms	z	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms	x	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`*-commutative`
910×	`unswap-sqr`
582×	`swap-sqr`
572×	`associate-*r/`
434×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	210	23
2	2744	23

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

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

Outputs

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

simplify111.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1146×	`distribute-lft-in`
934×	`fma-def`
810×	`*-commutative`
742×	`associate-*r/`
706×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1858
1	400	1634
2	1590	1514
3	6275	1514

Stop Event

1×	node limit

Counts

46 → 80

Calls

Call 1

Inputs
(exp.f64 (-.f64 x z))
(+.f64 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) x))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 -1 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) z))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 -1 (.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 -1 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) z))))))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))
(/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z)))
(/.f64 (.f64 1 (.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))
(/.f64 (.f64 (.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z)))
(/.f64 (.f64 (.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(/.f64 (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(/.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

Outputs
(exp.f64 (-.f64 x z))
(+.f64 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
(fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z)))
(.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 (-.f64 x z)))
(.f64 (+.f64 1 (.f64 y (log.f64 y))) (exp.f64 (-.f64 x z)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (.f64 (.f64 (.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (fma.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 x z)) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 (exp.f64 (-.f64 x z)) (+.f64 (.f64 y (log.f64 y)) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y (*.f64 y 1/2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))))
(fma.f64 1/2 (.f64 (.f64 (.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (+.f64 (fma.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))) (.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 x z)) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (fma.f64 1/6 (.f64 (exp.f64 (-.f64 x z)) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))) (exp.f64 (-.f64 x z)))))
(+.f64 (.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 (-.f64 x z))) (.f64 (exp.f64 (-.f64 x z)) (+.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 1/6 (pow.f64 y 3))) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y (.f64 y 1/2))))))
(+.f64 (.f64 (+.f64 1 (.f64 y (log.f64 y))) (exp.f64 (-.f64 x z))) (.f64 (exp.f64 (-.f64 x z)) (+.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 1/6 (pow.f64 y 3))) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y (.f64 y 1/2))))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))
(.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (.f64 x (pow.f64 y y))))
(.f64 (exp.f64 (neg.f64 z)) (.f64 (+.f64 x 1) (pow.f64 y y)))
(/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) x))))
(fma.f64 1/2 (.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 z)) (.f64 (+.f64 x 1) (pow.f64 y y))))
(.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 (pow.f64 y y) (+.f64 x 1)) (.f64 1/2 (.f64 x (*.f64 x (pow.f64 y y))))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))))
(fma.f64 1/6 (.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)))))
(+.f64 (/.f64 (.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (/.f64 (.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 -1 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) z))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (.f64 (pow.f64 y y) (.f64 z (exp.f64 x)))))
(-.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 z (*.f64 (pow.f64 y y) (exp.f64 x))))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 -1 (.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))
(fma.f64 1/2 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 (.f64 z z) (pow.f64 y y))) (.f64 (pow.f64 y y) (exp.f64 x))) (.f64 z (.f64 (pow.f64 y y) (exp.f64 x))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 1/2 (.f64 z z)) (neg.f64 z))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (neg.f64 z) (.f64 1/2 (.f64 z z)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 -1 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) z))))))
(fma.f64 -1/6 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (pow.f64 z 3))) (fma.f64 1/2 (.f64 (pow.f64 y y) (.f64 (exp.f64 x) (.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))))
(fma.f64 -1/6 (.f64 (exp.f64 x) (.f64 (pow.f64 z 3) (pow.f64 y y))) (-.f64 (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 (.f64 z z) (pow.f64 y y))) (.f64 (pow.f64 y y) (exp.f64 x))) (.f64 z (.f64 (pow.f64 y y) (exp.f64 x)))))
(+.f64 (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 1/2 (.f64 z z)) (*.f64 -1/6 (pow.f64 z 3)))))
(+.f64 (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 -1/6 (pow.f64 z 3)) (.f64 1/2 (*.f64 z z)))))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(.f64 (exp.f64 (+.f64 (.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (.f64 1 (.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (.f64 (.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 y y) (/.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (-.f64 x z))))))
(/.f64 (.f64 (.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))) (/.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 x))))
(.f64 (/.f64 (.f64 (pow.f64 y y) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))) (cbrt.f64 (exp.f64 z))) (cbrt.f64 (exp.f64 x)))
(.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 x z))) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (.f64 (sqrt.f64 (exp.f64 x)) (.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 y y) (/.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (-.f64 x z))))))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (/.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

eval98.0ms (3.1%)

Compiler: Compiled 2529 to 888 computations (64.9% saved)

prune22.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	146	2	148

Error

Counts

148 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.8%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	0.2%	(exp.f64 (-.f64 x z))

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1%	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series2.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	y	@	0	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	y	@	inf	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	z	@	-inf	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	z	@	inf	(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`add-sqr-sqrt`
1662×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1524×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	17
2	2126	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (pow.f64 y y) (exp.f64 z))

Outputs

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

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate--r+`
1076×	`associate-+l-`
1024×	`associate-+r-`
808×	`fma-def`
612×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1136
1	363	1086
2	1389	1038
3	5995	1038

Stop Event

1×	node limit

Counts

40 → 66

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))))
(pow.f64 y y)
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y)))) (+.f64 (.f64 -1/2 (pow.f64 y y)) (.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(exp.f64 (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))

Outputs
(/.f64 1 (exp.f64 z))
(exp.f64 (neg.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))
(+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (exp.f64 (neg.f64 z)))
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 z) (log.f64 y)))) (exp.f64 (neg.f64 z)))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (exp.f64 z) (.f64 y y))) (.f64 (/.f64 y (exp.f64 z)) (log.f64 y))) (exp.f64 (neg.f64 z)))
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))))) (exp.f64 (neg.f64 z)))
(+.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (exp.f64 z) (.f64 y y))) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)))) (exp.f64 (neg.f64 z)))
(fma.f64 1/6 (.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))))
(pow.f64 y y)
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (pow.f64 y y))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y))
(-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y)))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))
(fma.f64 -1 (.f64 z (pow.f64 y y)) (fma.f64 -1 (.f64 (.f64 (pow.f64 y y) -1/2) (.f64 z z)) (pow.f64 y y)))
(-.f64 (fma.f64 (.f64 1/2 (pow.f64 y y)) (.f64 z z) (pow.f64 y y)) (*.f64 z (pow.f64 y y)))
(-.f64 (pow.f64 y y) (.f64 (pow.f64 y y) (+.f64 z (.f64 (*.f64 z z) -1/2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y)))) (+.f64 (.f64 -1/2 (pow.f64 y y)) (.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))))
(fma.f64 -1 (.f64 z (pow.f64 y y)) (fma.f64 -1 (.f64 (fma.f64 -1 (.f64 (pow.f64 y y) -1/2) (.f64 (pow.f64 y y) -1/3)) (pow.f64 z 3)) (fma.f64 -1 (.f64 (.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y))))
(-.f64 (-.f64 (fma.f64 (.f64 1/2 (pow.f64 y y)) (.f64 z z) (pow.f64 y y)) (.f64 (fma.f64 (pow.f64 y y) -1/3 (.f64 1/2 (pow.f64 y y))) (pow.f64 z 3))) (*.f64 z (pow.f64 y y)))
(-.f64 (-.f64 (pow.f64 y y) (.f64 (pow.f64 y y) (+.f64 z (.f64 (.f64 z z) -1/2)))) (.f64 (*.f64 1/6 (pow.f64 y y)) (pow.f64 z 3)))
(-.f64 (.f64 (pow.f64 y y) (-.f64 1 z)) (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 y y) -1/2) (.f64 z (.f64 1/6 (pow.f64 y y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (pow.f64 y y) (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (pow.f64 y y) (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval52.0ms (1.6%)

Compiler: Compiled 1044 to 367 computations (64.8% saved)

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	65	3	68

Error

Counts

68 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	69.14%	(pow.f64 y y)
✓	0.2%	(exp.f64 (-.f64 x z))
▶	32.07%	(exp.f64 (neg.f64 z))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	69.14%	(pow.f64 y y)
✓	0.2%	(exp.f64 (-.f64 x z))
✓	32.07%	(exp.f64 (neg.f64 z))

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes55.0ms (1.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Calls

7 calls:

30.0ms	x
6.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms	(*.f64 y (log.f64 y))
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))
4.0ms	z

Results

Error	Segments	Branch
0%	1	`x`
0%	1	`y`
0%	1	`z`
0%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
0%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
0%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
0%	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 87 to 51 computations (41.4% saved)

regimes14.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Outputs
(exp.f64 (-.f64 x z))

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.2%	1	`x`
0.2%	1	`y`
0.2%	1	`z`

Compiler

Compiled 39 to 20 computations (48.7% saved)

regimes9.0ms (0.3%)

Accuracy

Total -23.9b remaining (-116.6%)

Threshold costs -23.9b (-116.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)

Outputs
(exp.f64 (neg.f64 z))

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
32.07%	1	`x`
32.07%	1	`y`
32.07%	1	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	23	47
2	27	47
3	28	47

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 x z))
(exp.f64 (neg.f64 z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 x z))
(exp.f64 (neg.f64 z))

Compiler

Compiled 25 to 18 computations (28% saved)

soundness0.0ms (0%)

end30.0ms (1%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

Details

analyze116.0ms (3.7%)

sample2.1s (65.1%)

preprocess62.0ms (2%)

simplify75.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.4%)

series55.0ms (1.7%)

rewrite60.0ms (1.9%)

simplify72.0ms (2.3%)

localize8.0ms (0.3%)

series17.0ms (0.5%)

rewrite62.0ms (2%)

simplify111.0ms (3.5%)

eval98.0ms (3.1%)

prune22.0ms (0.7%)

localize5.0ms (0.1%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite57.0ms (1.8%)

simplify72.0ms (2.3%)

eval52.0ms (1.6%)

prune11.0ms (0.3%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes55.0ms (1.8%)

regimes14.0ms (0.4%)

regimes9.0ms (0.3%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end30.0ms (1%)

Profiling