Details

analyze121.0ms (3.1%)

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 (50.8%)

Results

1.2s	8256×	body	256	valid
468.0ms	3060×	body	256	infinite
308.0ms	2408×	body	256	invalid

Bogosity

preprocess53.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
576×	`times-frac_binary64`
387×	`associate-l_binary64`
364×	`associate-r_binary64`
352×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	55	48
2	133	48
3	299	48
4	540	48
5	1226	48
6	5004	48
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 z x)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.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)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.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)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
478×	`associate-/l/_binary64`
408×	`associate-/r/_binary64`
362×	`fma-neg_binary64`
337×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	12
2	41	12
3	89	12
4	157	12
5	313	12
6	968	12
7	2560	12
8	5278	12
9	5976	12
10	7425	12

Stop Event

1×	node limit

Counts

1 → 5

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)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

eval1.0ms (0%)

Compiler: Compiled 45 to 21 computations (53.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
✓	0.0b	(+.f64 x (*.f64 y (log.f64 y)))
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓	0.2b	(*.f64 y (log.f64 y))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series122.0ms (3.2%)

Counts

4 → 104

Calls

27 calls:

Time	Variable		Point	Expression
36.0ms	z	@	0	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
35.0ms	y	@	0	(*.f64 y (log.f64 y))
33.0ms	y	@	-inf	(*.f64 y (log.f64 y))
7.0ms	y	@	inf	(*.f64 y (log.f64 y))
3.0ms	x	@	0	(+.f64 x (*.f64 y (log.f64 y)))

rewrite306.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`fma-def_binary64`
494×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
271×	`pow2_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	195	35
2	2874	35

Stop Event

1×	node limit

Counts

4 → 291

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))))) (#(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 (pow.f64 (.f64 y (log.f64 y)) 2) 1/2)))) (#(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 (sqrt.f64 (.f64 y (log.f64 y))) 2)))) (#(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 log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(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 exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (log.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (log.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (log.f64 y))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 z) 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (/.f64 (pow.f64 y y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (pow.f64 (exp.f64 1) (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 (exp.f64 1) (.f64 (neg.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y y) (pow.f64 (exp.f64 1) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 z)) (.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (.f64 (exp.f64 x) (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (exp.f64 x) (pow.f64 y y))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 z 3) (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (+.f64 x (fma.f64 y (log.f64 y) z)))) (pow.f64 (exp.f64 1) (/.f64 (.f64 z z) (+.f64 x (fma.f64 y (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3))) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (fma.f64 y (log.f64 y) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (.f64 z z))) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 y (log.f64 y))) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))))))

simplify202.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-neg_binary64`
406×	`log-prod_binary64`
371×	`exp-prod_binary64`
276×	`fma-def_binary64`
269×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	632	6339
1	1574	6080
2	5713	6004

Stop Event

1×	node limit

Counts

395 → 437

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)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (+.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 1/6 (.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3))))))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(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)))))))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) (.f64 -1 (.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) z)))
(+.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) z)) (.f64 1/2 (.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 2)))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) (pow.f64 z 3))) (+.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) (+.f64 (.f64 -1 (.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) z)) (.f64 1/2 (.f64 (exp.f64 (+.f64 (.f64 y (log.f64 y)) x)) (pow.f64 z 2))))))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x)))
(exp.f64 (+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x)))
(exp.f64 (+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x)))
(exp.f64 (+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x)))
(*.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 (*.f64 y (log.f64 y)) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 x z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) x) z)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x))
(+.f64 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(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))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 y (log.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (log.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (log.f64 y)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (log.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (log.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (log.f64 y))) 3) 1/3))
(+.f64 0 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 1)
(*.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1)
(*.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 z) 1 z)))
(*.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))
(*.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 z) z)))
(*.f64 1 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(.f64 (exp.f64 x) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)))
(.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 (neg.f64 z)))
(.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (pow.f64 (exp.f64 1) (*.f64 (neg.f64 z) 1)))
(*.f64 (pow.f64 y y) (pow.f64 (exp.f64 1) (-.f64 x z)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))
(.f64 (exp.f64 (neg.f64 z)) (.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (fma.f64 y (log.f64 y) x) z))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 (fma.f64 y (log.f64 y) x) z))))
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (exp.f64 x) (pow.f64 y y))))
(/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 z))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) (pow.f64 y y))) (neg.f64 (exp.f64 z)))
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(neg.f64 (log.f64 (/.f64 (exp.f64 z) (*.f64 (exp.f64 x) (pow.f64 y y)))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))) (exp.f64 z)))
(log.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 1 (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))) (+.f64 1 (expm1.f64 z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x)))))
(log.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (exp.f64 x)))
(log.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1) 1))
(fma.f64 y (log.f64 y) (-.f64 x z))
(fma.f64 (log.f64 y) y (-.f64 x z))
(fma.f64 (*.f64 y (log.f64 y)) 1 (-.f64 x z))
(fma.f64 x 1 (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 x 1 (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(fma.f64 (fma.f64 y (log.f64 y) x) 1 (neg.f64 z))
(fma.f64 (fma.f64 y (log.f64 y) x) 1 (*.f64 (neg.f64 z) 1))
(fma.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 1 (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (fma.f64 y (log.f64 y) x) z) 1 (+.f64 (neg.f64 z) z))
(fma.f64 1 (*.f64 y (log.f64 y)) (-.f64 x z))
(fma.f64 1 x (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1 x (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(fma.f64 1 (fma.f64 y (log.f64 y) x) (neg.f64 z))
(fma.f64 1 (fma.f64 y (log.f64 y) x) (*.f64 (neg.f64 z) 1))
(fma.f64 1 (-.f64 (fma.f64 y (log.f64 y) x) z) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 1 (-.f64 (fma.f64 y (log.f64 y) x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 1 (-.f64 (fma.f64 y (log.f64 y) x) z) (+.f64 (neg.f64 z) z))
(fma.f64 1 (neg.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 1 (-.f64 (*.f64 y (log.f64 y)) z) x)
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (-.f64 x z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (neg.f64 z))
(fma.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) 1))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 (cbrt.f64 (log.f64 y)) y) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) (cbrt.f64 (.f64 y (log.f64 y))) (-.f64 x z))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 (.f64 y (log.f64 y)) z) 1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (-.f64 x z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))
(fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (-.f64 x z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 y (log.f64 y))) (sqrt.f64 (.f64 y (log.f64 y))) (-.f64 x z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (+.f64 (neg.f64 z) z))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x))) (neg.f64 z))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (.f64 x x))) (.f64 (neg.f64 z) 1))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))) (neg.f64 z))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 y (log.f64 y)))) (.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) x)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))
(fma.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) x)
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 -1 z (fma.f64 y (log.f64 y) x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)) (-.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))

Outputs
(.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 -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 -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 -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 (+.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))))
(.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))))
(.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))))
(.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))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(fma.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 x x)) (fma.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 y y) (.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (+.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 1/6 (.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 x x)) (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (.f64 y (log.f64 y)) z))) (.f64 1/6 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 y y) (.f64 x x)) (exp.f64 z)) (.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))) (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (pow.f64 x 3) 1/6)))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 x z))
(+.f64 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
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(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x))) (neg.f64 z))
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(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (.f64 x x))) (.f64 (neg.f64 z) 1))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (*.f64 x x))) (neg.f64 z))
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(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (log.f64 y) (cbrt.f64 y)) (-.f64 x z))
(+.f64 (-.f64 x z) (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 3)))
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localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series18.0ms (0.5%)

Counts

1 → 20

Calls

9 calls:

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

rewrite77.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
854×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
833×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	171	12
2	2300	12

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

Outputs

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-def_binary64`
342×	`times-frac_binary64`
282×	`*-commutative_binary64`
263×	`fma-neg_binary64`
246×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	745
1	307	659
2	1102	601
3	3718	572

Stop Event

1×	node limit

Counts

35 → 67

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

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

eval160.0ms (4.1%)

Compiler: Compiled 9134 to 2874 computations (68.5% saved)

prune117.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	501	3	504
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	503	3	506

Error

Counts

506 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.4b	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	1.0b	(exp.f64 (-.f64 x z))
▶	16.5b	(exp.f64 (neg.f64 z))

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 y y) (exp.f64 x))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series3.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`pow1_binary64`
518×	`add-log-exp_binary64`
518×	`log1p-expm1-u_binary64`
518×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	119	9
2	1434	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

618×	`distribute-rgt-out_binary64`
549×	`associate-l_binary64`
461×	`associate-r_binary64`
423×	`count-2_binary64`
315×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	352
1	179	314
2	599	267
3	3102	254
4	6045	254

Stop Event

1×	node limit

Counts

19 → 44

Calls

Call 1

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

Outputs
(exp.f64 x)
(+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 x))
(fma.f64 (exp.f64 x) (*.f64 y (log.f64 y)) (exp.f64 x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(fma.f64 1/2 (.f64 (exp.f64 x) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2))))))
(+.f64 (exp.f64 x) (.f64 (.f64 (exp.f64 x) (log.f64 y)) (+.f64 (.f64 (log.f64 y) (.f64 y (*.f64 y 1/2))) y)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 (pow.f64 (log.f64 y) 2) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))))
(+.f64 (exp.f64 x) (fma.f64 (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)) (.f64 1/6 (pow.f64 y 3)) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)))))))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 (pow.f64 (log.f64 y) 2) (+.f64 (.f64 y (.f64 y 1/2)) (.f64 (*.f64 1/6 (pow.f64 y 3)) (log.f64 y)))))))
(pow.f64 y y)
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))
(*.f64 (+.f64 x 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(+.f64 (pow.f64 y y) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))
(+.f64 (pow.f64 y y) (fma.f64 1/2 (.f64 (pow.f64 y y) (.f64 x x)) (*.f64 x (pow.f64 y y))))
(+.f64 (.f64 (+.f64 x 1) (pow.f64 y y)) (.f64 1/2 (.f64 (pow.f64 y y) (.f64 x x))))
(.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (.f64 1/2 (*.f64 x x))))
(.f64 (pow.f64 y y) (+.f64 1 (+.f64 x (.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))))
(fma.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (pow.f64 y y) (fma.f64 1/2 (.f64 (pow.f64 y y) (.f64 x x)) (.f64 x (pow.f64 y y)))))
(fma.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 x 1) (pow.f64 y y)) (.f64 1/2 (.f64 (pow.f64 y y) (*.f64 x x)))))
(fma.f64 (pow.f64 y y) (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (.f64 1/2 (.f64 x x)))))
(.f64 (pow.f64 y y) (+.f64 (+.f64 1 (+.f64 x (.f64 1/2 (.f64 x x)))) (.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) 1)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (+.f64 x (*.f64 y (log.f64 y))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))

eval19.0ms (0.5%)

Compiler: Compiled 679 to 262 computations (61.4% saved)

prune7.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	42	5	47

Error

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.5b	(pow.f64 y y)
▶	44.3b	(*.f64 (pow.f64 y y) (+.f64 x 1))
✓	1.0b	(exp.f64 (-.f64 x z))
✓	16.5b	(exp.f64 (neg.f64 z))
▶	23.3b	(exp.f64 x)

Compiler

Compiled 34 to 25 computations (26.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
709×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	10
2	2003	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (pow.f64 y y) (+.f64 x 1))

Outputs

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

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

838×	`times-frac_binary64`
681×	`associate-+l+_binary64`
580×	`associate-+r+_binary64`
328×	`fma-def_binary64`
323×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	711
1	276	694
2	979	646
3	3484	592

Stop Event

1×	node limit

Counts

48 → 56

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval16.0ms (0.4%)

Compiler: Compiled 951 to 446 computations (53.1% saved)

prune11.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	55	6	61

Error

Counts

61 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.5b	(pow.f64 y y)
▶	45.0b	(+.f64 1 x)
✓	44.3b	(*.f64 (pow.f64 y y) (+.f64 x 1))
✓	1.0b	(exp.f64 (-.f64 x z))
✓	16.5b	(exp.f64 (neg.f64 z))
✓	23.3b	(exp.f64 x)

Compiler

Compiled 40 to 30 computations (25% saved)

localize3.0ms (0.1%)

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

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.5b	(pow.f64 y y)
✓	45.0b	(+.f64 1 x)
✓	44.3b	(*.f64 (pow.f64 y y) (+.f64 x 1))
✓	1.0b	(exp.f64 (-.f64 x z))
✓	16.5b	(exp.f64 (neg.f64 z))
✓	23.3b	(exp.f64 x)

Compiler

Compiled 40 to 30 computations (25% saved)

regimes43.0ms (1.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(+.f64 1 x)
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.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:

10.0ms	z
7.0ms	x
6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
5.0ms	(*.f64 y (log.f64 y))
5.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
0.0b	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
0.0b	1	`(+.f64 x (*.f64 y (log.f64 y)))`
0.0b	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 99 to 56 computations (43.4% saved)

regimes22.0ms (0.6%)

Counts

8 → 2

Calls

Call 1

Inputs
(+.f64 1 x)
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

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

Calls

3 calls:

10.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
1.0b	1	`x`
0b	2	`y`
1.0b	1	`z`

Compiler

Compiled 51 to 25 computations (51% saved)

bsearch22.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	127.55581852131341	102473.72760706214

Results

15.0ms	128×	body	256	valid
6.0ms	48×	body	256	infinite

Compiler

Compiled 178 to 125 computations (29.8% saved)

regimes18.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 1 x)
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(*.f64 (pow.f64 y y) (exp.f64 x))

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

Calls

3 calls:

6.0ms	z
5.0ms	y
5.0ms	x

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`y`
1.0b	1	`z`

Compiler

Compiled 43 to 24 computations (44.2% saved)

regimes20.0ms (0.5%)

Counts

4 → 2

Calls

Call 1

Inputs
(+.f64 1 x)
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)

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

Calls

3 calls:

8.0ms	x
7.0ms	z
4.0ms	y

Results

Error	Segments	Branch
1.4b	2	`x`
16.5b	1	`y`
1.2b	2	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch23.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	1.709664265034946e-18	1.0900978918298873e-10

Results

18.0ms	144×	body	256	valid
3.0ms	27×	body	256	infinite

Compiler

Compiled 135 to 112 computations (17% saved)

regimes17.0ms (0.4%)

Accuracy

Total -21.8b remaining (-93.7%)

Threshold costs -21.8b (-93.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 1 x)
(exp.f64 x)

Outputs
(exp.f64 x)

Calls

3 calls:

10.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
23.3b	1	`x`
23.3b	1	`y`
23.3b	1	`z`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	65
1	36	65
2	40	65
3	41	65

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
(if (<=.f64 z 8356095265176317/77371252455336267181195264) (exp.f64 x) (exp.f64 (neg.f64 z)))
(exp.f64 x)
(+.f64 1 x)

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
(if (<=.f64 z 8356095265176317/77371252455336267181195264) (exp.f64 x) (exp.f64 (neg.f64 z)))
(exp.f64 x)
(+.f64 1 x)
(+.f64 x 1)

Compiler

Compiled 61 to 41 computations (32.8% saved)

soundness110.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
478×	`associate-/l/_binary64`
408×	`associate-/r/_binary64`
362×	`fma-neg_binary64`
337×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	12
2	41	12
3	89	12
4	157	12
5	313	12
6	968	12
7	2560	12
8	5278	12
9	5976	12
10	7425	12

Stop Event

1×	node limit

Compiler

Compiled 73 to 49 computations (32.9% saved)

end35.0ms (0.9%)

Compiler: Compiled 46 to 23 computations (50% saved)

Details

analyze121.0ms (3.1%)

sample2.0s (50.8%)

preprocess53.0ms (1.4%)

simplify62.0ms (1.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.3%)

series122.0ms (3.2%)

rewrite306.0ms (7.9%)

simplify202.0ms (5.2%)

localize8.0ms (0.2%)

series18.0ms (0.5%)

rewrite77.0ms (2%)

simplify41.0ms (1.1%)

eval160.0ms (4.1%)

prune117.0ms (3%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite55.0ms (1.4%)

simplify45.0ms (1.2%)

eval19.0ms (0.5%)

prune7.0ms (0.2%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (1.3%)

simplify46.0ms (1.2%)

localize3.0ms (0.1%)

eval16.0ms (0.4%)

prune11.0ms (0.3%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes43.0ms (1.1%)

regimes22.0ms (0.6%)

bsearch22.0ms (0.6%)

regimes18.0ms (0.5%)

regimes20.0ms (0.5%)

bsearch23.0ms (0.6%)

regimes17.0ms (0.4%)

simplify5.0ms (0.1%)

soundness110.0ms (2.8%)

end35.0ms (0.9%)

Profiling