Details

analyze153.0ms (4.2%)

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)

sample1.9s (53.5%)

Results

1.3s	8256×	body	256	valid
357.0ms	2954×	body	256	infinite
219.0ms	2298×	body	256	invalid

Bogosity

preprocess50.0ms (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)

simplify60.0ms (1.7%)

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 (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.5b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
▶	12.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 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)))
✓	0.3b	(*.f64 y (log.f64 y))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series59.0ms (1.6%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	(*.f64 y (log.f64 y))
15.0ms	y	@	-inf	(*.f64 y (log.f64 y))
8.0ms	y	@	inf	(*.f64 y (log.f64 y))
3.0ms	x	@	0	(+.f64 x (*.f64 y (log.f64 y)))
2.0ms	x	@	inf	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`fma-def_binary64`
456×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
339×	`exp-prod_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	178	23
2	2682	23

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

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fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) 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(#(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 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y 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 (+.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 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simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
562×	`times-frac_binary64`
465×	`cancel-sign-sub-inv_binary64`
207×	`sqr-pow_binary64`
204×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	3997
1	1077	3864
2	3402	3737

Stop Event

1×	node limit

Counts

294 → 286

Calls

Call 1

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 x z))
✓	0.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series39.0ms (1.1%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
4.0ms	z	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
2.0ms	x	@	inf	(exp.f64 (-.f64 x z))
1.0ms	y	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
1.0ms	z	@	0	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite53.0ms (1.5%)

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	18
1	171	18
2	2300	18

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
398×	`fma-neg_binary64`
330×	`associate-*l/_binary64`
298×	`associate-*r/_binary64`
224×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1123
1	455	1018
2	1843	933
3	6086	928

Stop Event

1×	node limit

Counts

74 → 114

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

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 z x)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series6.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

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

rewrite66.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`prod-diff_binary64`
458×	`log-prod_binary64`
273×	`pow-prod-down_binary64`
248×	`pow2_binary64`
198×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	177	12
2	2506	12

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (-.f64 z x))) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (neg.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) 1) (/.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 2)) (/.f64 (pow.f64 (sqrt.f64 y) y) (cbrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 z x)) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 (-.f64 z x)))))))) (#(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 pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 z x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 z x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (-.f64 z x) (*.f64 y (log.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))) 1) 1))))))

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
512×	`times-frac_binary64`
502×	`associate-/l*_binary64`
360×	`associate-*l/_binary64`
311×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	1490
1	558	1303
2	2043	1209

Stop Event

1×	node limit

Counts

65 → 108

Calls

Call 1

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

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

eval194.0ms (5.3%)

Compiler: Compiled 8946 to 2867 computations (68% saved)

prune124.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	505	3	508
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	507	4	511

Error

Counts

511 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.5b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
▶	25.6b	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	0.1b	(exp.f64 (-.f64 x z))
▶	18.1b	(exp.f64 (neg.f64 z))

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (-.f64 x z))

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (pow.f64 y y) (exp.f64 z))
1.0ms	z	@	0	(/.f64 (pow.f64 y y) (exp.f64 z))
1.0ms	y	@	inf	(/.f64 (pow.f64 y y) (exp.f64 z))
1.0ms	z	@	-inf	(/.f64 (pow.f64 y y) (exp.f64 z))
1.0ms	z	@	inf	(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite41.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
608×	`add-log-exp_binary64`
608×	`log1p-expm1-u_binary64`
608×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	9
2	1639	9

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Rules

493×	`fma-def_binary64`
300×	`unsub-neg_binary64`
269×	`associate-/l*_binary64`
221×	`unswap-sqr_binary64`
221×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	732
1	355	638
2	1185	527
3	5706	527

Stop Event

1×	node limit

Counts

39 → 68

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

eval22.0ms (0.6%)

Compiler: Compiled 1676 to 603 computations (64% saved)

prune20.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	119	6	125

Error

Counts

125 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.8b	(pow.f64 y y)
✓	12.5b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
▶	0.1b	(-.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 1)
✓	0.1b	(exp.f64 (-.f64 x z))
✓	18.1b	(exp.f64 (neg.f64 z))
▶	17.5b	(exp.f64 x)

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (-.f64 x z))
✓	0.0b	(+.f64 1 (exp.f64 (-.f64 x z)))
✓	0.0b	(-.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 1)

Compiler

Compiled 27 to 12 computations (55.6% saved)

series3.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 1 (exp.f64 (-.f64 x z)))
0.0ms	x	@	0	(-.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 1)
0.0ms	z	@	0	(+.f64 1 (exp.f64 (-.f64 x z)))
0.0ms	x	@	-inf	(+.f64 1 (exp.f64 (-.f64 x z)))
0.0ms	z	@	0	(-.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 1)

rewrite86.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
901×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	182	15
2	2689	15

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (-.f64 x z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (-.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2) (cbrt.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) (sqrt.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) (+.f64 (exp.f64 (-.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) -1) (/.f64 1 (+.f64 (exp.f64 (-.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 x z)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) (+.f64 (exp.f64 (-.f64 x z)) 2)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (-.f64 x z)) 2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) (+.f64 (exp.f64 (-.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) (-.f64 1 (*.f64 (+.f64 1 (exp.f64 (-.f64 x z))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) -1) (+.f64 (exp.f64 (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) -1) (-.f64 (+.f64 1 (exp.f64 (-.f64 x z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) (+.f64 (exp.f64 (-.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 2) -1)) (neg.f64 (+.f64 (exp.f64 (-.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 x z)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (-.f64 x z)) (expm1.f64 (-.f64 x z))) (expm1.f64 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (-.f64 x z)) (expm1.f64 (-.f64 x z)))) (-.f64 1 (expm1.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (exp.f64 (-.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 x z)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 x z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 x z)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 x z)))) -1)))))

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

627×	`times-frac_binary64`
437×	`cancel-sign-sub-inv_binary64`
352×	`associate-/l*_binary64`
302×	`unswap-sqr_binary64`
228×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	1816
1	530	1647
2	1973	1563

Stop Event

1×	node limit

Counts

121 → 153

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval47.0ms (1.3%)

Compiler: Compiled 3086 to 1550 computations (49.8% saved)

prune33.0ms (0.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	206	6	212

Error

Counts

212 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.8b	(pow.f64 y y)
✓	12.5b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
✓	0.1b	(-.f64 (+.f64 1 (exp.f64 (-.f64 x z))) 1)
✓	0.1b	(exp.f64 (-.f64 x z))
✓	18.1b	(exp.f64 (neg.f64 z))
✓	17.5b	(exp.f64 x)

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes80.0ms (2.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	z
20.0ms	(*.f64 y (log.f64 y))
8.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
6.0ms	x
5.0ms	(+.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 105 to 59 computations (43.8% saved)

regimes25.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`

Compiler

Compiled 57 to 28 computations (50.9% saved)

regimes33.0ms (0.9%)

Accuracy

Total -42.6b remaining (-9075.8%)

Threshold costs -42.6b (-9075.8%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
7.0ms	x
6.0ms	z

Results

Error	Segments	Branch
0.9b	2	`x`
13.1b	6	`y`
0.5b	2	`z`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch21.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.3418865304553436	4138.170685130857

Results

18.0ms	128×	body	256	valid
2.0ms	19×	body	256	infinite

Compiler

Compiled 122 to 101 computations (17.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	26	37
2	30	37
3	31	37

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))
(if (<=.f64 z 300) (exp.f64 x) (exp.f64 (neg.f64 z)))
(exp.f64 x)

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 x z))
(if (<=.f64 z 300) (exp.f64 x) (exp.f64 (neg.f64 z)))
(exp.f64 x)

Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness0.0ms (0%)

end26.0ms (0.7%)

Compiler: Compiled 27 to 16 computations (40.7% saved)

Details

analyze153.0ms (4.2%)

sample1.9s (53.5%)

preprocess50.0ms (1.4%)

simplify60.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

series59.0ms (1.6%)

rewrite71.0ms (2%)

simplify85.0ms (2.3%)

localize8.0ms (0.2%)

series39.0ms (1.1%)

rewrite53.0ms (1.5%)

simplify56.0ms (1.5%)

localize8.0ms (0.2%)

series6.0ms (0.2%)

rewrite66.0ms (1.8%)

simplify45.0ms (1.2%)

eval194.0ms (5.3%)

prune124.0ms (3.4%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite41.0ms (1.1%)

simplify72.0ms (2%)

eval22.0ms (0.6%)

prune20.0ms (0.6%)

localize3.0ms (0.1%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite86.0ms (2.4%)

simplify52.0ms (1.4%)

localize3.0ms (0.1%)

eval47.0ms (1.3%)

prune33.0ms (0.9%)

regimes80.0ms (2.2%)

regimes25.0ms (0.7%)

regimes33.0ms (0.9%)

bsearch21.0ms (0.6%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end26.0ms (0.7%)

Profiling