Details

analyze142.0ms (4.6%)

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)

sample2.0s (66.1%)

Results

1.3s	8256×	body	256	valid
435.0ms	3183×	body	256	infinite
252.0ms	2326×	body	256	invalid

Bogosity

preprocess68.0ms (2.2%)

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)

simplify72.0ms (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
▶	14.2b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize16.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 y (log.f64 y))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series97.0ms (3.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
76.0ms	y	@	0	(*.f64 y (log.f64 y))
14.0ms	y	@	-inf	(*.f64 y (log.f64 y))
6.0ms	y	@	inf	(*.f64 y (log.f64 y))

rewrite49.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`add-sqr-sqrt`
1044×	`*-un-lft-identity`
982×	`pow1`
962×	`add-cube-cbrt`
946×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	113	11
2	1321	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.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 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 log1p.f64 (-.f64 (pow.f64 y y) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 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 log1p.f64 (-.f64 (pow.f64 y y) 1))))))

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

880×	`associate-+r-`
814×	`associate-+l-`
788×	`distribute-lft-in`
776×	`distribute-rgt-in`
546×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	359
1	99	359
2	326	215
3	1758	215
4	5540	215

Stop Event

1×	node limit

Counts

19 → 18

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 (+.f64 1 (*.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))
(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))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series34.0ms (1.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	z	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
10.0ms	x	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
1.0ms	x	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms	y	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms	z	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite101.0ms (3.3%)

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)))))))))

simplify72.0ms (2.3%)

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)))

eval19.0ms (0.6%)

Compiler: Compiled 1751 to 579 computations (66.9% saved)

prune14.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	98	2	100

Error

Counts

100 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.3b	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	0.5b	(exp.f64 (-.f64 x z))

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize5.0ms (0.2%)

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.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))

rewrite80.0ms (2.6%)

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))))))))

simplify66.0ms (2.2%)

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))

eval14.0ms (0.4%)

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

prune10.0ms (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
▶	42.8b	(pow.f64 y y)
✓	0.5b	(exp.f64 (-.f64 x z))
▶	20.1b	(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)

prune1.0ms (0%)

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
✓	42.8b	(pow.f64 y y)
✓	0.5b	(exp.f64 (-.f64 x z))
✓	20.1b	(exp.f64 (neg.f64 z))

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes53.0ms (1.7%)

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:

24.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
8.0ms	y
4.0ms	(*.f64 y (log.f64 y))
4.0ms	z
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))

Results

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

Compiler

Compiled 87 to 51 computations (41.4% saved)

regimes14.0ms (0.5%)

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:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`z`

Compiler

Compiled 39 to 20 computations (48.7% saved)

regimes10.0ms (0.3%)

Accuracy

Total -23.2b remaining (-115.2%)

Threshold costs -23.2b (-115.2%)

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	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
20.1b	1	`x`
20.1b	1	`y`
20.1b	1	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify5.0ms (0.2%)

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%)

end19.0ms (0.6%)

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

Details

analyze142.0ms (4.6%)

sample2.0s (66.1%)

preprocess68.0ms (2.2%)

simplify72.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.5%)

series97.0ms (3.2%)

rewrite49.0ms (1.6%)

simplify49.0ms (1.6%)

localize8.0ms (0.3%)

series34.0ms (1.1%)

rewrite101.0ms (3.3%)

simplify72.0ms (2.3%)

eval19.0ms (0.6%)

prune14.0ms (0.5%)

localize5.0ms (0.2%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite80.0ms (2.6%)

simplify66.0ms (2.2%)

eval14.0ms (0.4%)

prune10.0ms (0.3%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes53.0ms (1.7%)

regimes14.0ms (0.5%)

regimes10.0ms (0.3%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end19.0ms (0.6%)

Profiling