Details

analyze179.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	9.4%	65.5%	0.1%	0%	25%	0%	6
18.8%	14%	60.8%	0.1%	0%	25%	0%	7
20%	14%	56.2%	0.1%	4.7%	25%	0%	8
27.7%	14%	36.7%	0.1%	11.7%	37.4%	0%	9
32.8%	14.8%	30.4%	0.1%	17.2%	37.4%	0%	10
35.4%	15.5%	28.3%	0.1%	18.6%	37.4%	0%	11
47.3%	16.4%	18.3%	0.1%	21.4%	43.7%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.6s (71.7%)

Results

2.2s	8256×	body	256	valid
691.0ms	2515×	body	256	invalid
626.0ms	3112×	body	256	infinite

Bogosity

preprocess64.0ms (1.3%)

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)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

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 20 to 12 computations (40% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.8b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
▶	0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 8 computations (77.1% saved)

series59.0ms (1.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(*.f64 y (log.f64 y))
23.0ms	y	@	-inf	(*.f64 y (log.f64 y))
8.0ms	y	@	inf	(*.f64 y (log.f64 y))

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
332×	`add-sqr-sqrt_binary64`
327×	`*-un-lft-identity_binary64`
319×	`add-log-exp_binary64`
319×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	76	6
2	887	6

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify214.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

812×	`distribute-rgt-in_binary64`
775×	`unsub-neg_binary64`
633×	`fma-def_binary64`
625×	`distribute-neg-in_binary64`
524×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	31	80
2	63	48
3	138	48
4	263	48
5	648	48
6	2097	48
7	3410	48
8	4566	48
9	4930	48
10	5014	48
11	5043	48
12	5055	48
13	5055	48
14	6025	48
15	7066	48
16	7502	48
17	7680	48
18	7818	48
19	7842	48
20	7842	48
21	7842	48

Stop Event

1×	node limit

Counts

31 → 26

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)

Outputs
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(neg.f64 (*.f64 (neg.f64 y) (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))))
(neg.f64 (*.f64 (neg.f64 y) (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))))
(neg.f64 (*.f64 (neg.f64 y) (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))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 y (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 y (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 y (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 y (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 y (log.f64 y))

localize11.0ms (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)

series38.0ms (0.8%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	z	@	inf	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
8.0ms	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	z	@	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)))

rewrite66.0ms (1.3%)

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))))))

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))))))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

483×	`fma-def_binary64`
452×	`associate-l_binary64`
449×	`associate-r_binary64`
315×	`unsub-neg_binary64`
276×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	606
1	292	560
2	1083	458
3	6624	456

Stop Event

1×	node limit

Counts

65 → 71

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)))

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 (exp.f64 (neg.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))
(fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z)))
(fma.f64 (*.f64 y (exp.f64 (-.f64 x z))) (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 (exp.f64 (neg.f64 (-.f64 z x))) (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)))))
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (.f64 (/.f64 (.f64 y y) (exp.f64 (-.f64 z x))) (pow.f64 (log.f64 y) 2)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))))
(fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (/.f64 (.f64 y y) (exp.f64 (-.f64 z x)))) (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (.f64 (.f64 y y) (exp.f64 (-.f64 x z)))) (fma.f64 (.f64 y (exp.f64 (-.f64 x z))) (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 (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 (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 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (.f64 (/.f64 (.f64 y y) (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 (log.f64 y)) (exp.f64 (-.f64 z x))))))
(+.f64 (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (/.f64 (.f64 y y) (exp.f64 (-.f64 z x)))) (/.f64 1/6 (/.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 3)) (pow.f64 y 3)))))
(+.f64 (fma.f64 (.f64 y (exp.f64 (-.f64 x z))) (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (.f64 (.f64 y y) (exp.f64 (-.f64 x z)))) (.f64 (.f64 (pow.f64 y 3) (*.f64 1/6 (pow.f64 (log.f64 y) 3))) (exp.f64 (-.f64 x z)))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 y y) (exp.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))))
(fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 x) (-.f64 (pow.f64 y y) (.f64 z (pow.f64 y y))))
(+.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)))))
(fma.f64 -1 (.f64 (/.f64 (.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (.f64 z z)) (fma.f64 -1 (/.f64 (.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (.f64 z z) (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x)))))
(-.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 (*.f64 z z) -1/2) z)))
(+.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))))))
(fma.f64 -1 (.f64 (/.f64 (.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (.f64 z z)) (fma.f64 -1 (/.f64 (.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (fma.f64 -1 (.f64 (pow.f64 z 3) (fma.f64 -1 (/.f64 (.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))
(fma.f64 (.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (.f64 z z) (-.f64 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 z 3) (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3 (.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x)))))
(-.f64 (-.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (.f64 1/6 (.f64 (.f64 (pow.f64 z 3) (pow.f64 y y)) (exp.f64 x)))) (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 (.f64 z z) -1/2) z)))
(-.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (.f64 (.f64 z z) -1/2) z)) (.f64 1/6 (.f64 (.f64 (pow.f64 z 3) (pow.f64 y y)) (exp.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 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x))))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.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 (pow.f64 y y) (/.f64 (exp.f64 z) x)))
(fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) x (/.f64 (pow.f64 y y) (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 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x)) (.f64 x (.f64 x (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z))))))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (.f64 -1/2 (*.f64 x x)))))
(+.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))))))
(fma.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6)) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x)) (.f64 x (.f64 x (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z))))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 3) (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (.f64 -1/2 (.f64 x x)))) (.f64 (*.f64 (/.f64 -1/6 (exp.f64 z)) (pow.f64 y y)) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (.f64 -1/2 (*.f64 x x)))) (fma.f64 (pow.f64 x 3) (/.f64 1/6 (/.f64 (exp.f64 z) (pow.f64 y y))) (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

eval59.0ms (1.2%)

Compiler: Compiled 1647 to 562 computations (65.9% saved)

prune16.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	96	3	99

Error

Counts

99 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.7b	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	27.7b	(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
▶	0.9b	(exp.f64 (-.f64 x z))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize7.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series3.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

778×	`unswap-sqr_binary64`
553×	`distribute-rgt-in_binary64`
549×	`distribute-lft-in_binary64`
532×	`*-commutative_binary64`
349×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	187
1	114	182
2	361	168
3	1584	155
4	3207	148
5	7714	148

Stop Event

1×	node limit

Counts

19 → 25

Calls

Call 1

Inputs
(exp.f64 x)
(+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))))
(pow.f64 y y)
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (pow.f64 y y) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))))

Outputs
(exp.f64 x)
(+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(fma.f64 (exp.f64 x) (*.f64 y (log.f64 y)) (exp.f64 x))
(.f64 (exp.f64 x) (+.f64 1 (.f64 y (log.f64 y))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (.f64 (exp.f64 x) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 (.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2))))))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (.f64 (log.f64 y) (+.f64 y (.f64 (log.f64 y) (.f64 y (*.f64 y 1/2)))))))
(.f64 (exp.f64 x) (+.f64 1 (.f64 (log.f64 y) (+.f64 y (.f64 (log.f64 y) (.f64 y (*.f64 y 1/2)))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))))
(fma.f64 1/6 (.f64 (exp.f64 x) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (.f64 (exp.f64 x) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))))
(+.f64 (exp.f64 x) (fma.f64 1/6 (.f64 (exp.f64 x) (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 (.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2)))))))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 (pow.f64 (log.f64 y) 2) (+.f64 (.f64 y (.f64 y 1/2)) (.f64 (log.f64 y) (*.f64 1/6 (pow.f64 y 3))))))))
(.f64 (exp.f64 x) (+.f64 (.f64 (log.f64 y) (+.f64 y (.f64 (log.f64 y) (.f64 y (.f64 y 1/2))))) (+.f64 1 (.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))))))
(pow.f64 y y)
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))
(*.f64 (+.f64 x 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(+.f64 (pow.f64 y y) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))
(+.f64 (pow.f64 y y) (fma.f64 1/2 (.f64 (pow.f64 y y) (.f64 x x)) (*.f64 x (pow.f64 y y))))
(+.f64 (.f64 (+.f64 x 1) (pow.f64 y y)) (.f64 1/2 (.f64 (pow.f64 y y) (.f64 x x))))
(.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (.f64 x (*.f64 x 1/2))))
(.f64 (pow.f64 y y) (+.f64 x (+.f64 1 (.f64 x (*.f64 x 1/2)))))
(.f64 (pow.f64 y y) (+.f64 1 (+.f64 x (.f64 x (*.f64 x 1/2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))))
(fma.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (pow.f64 y y) (fma.f64 1/2 (.f64 (pow.f64 y y) (.f64 x x)) (.f64 x (pow.f64 y y)))))
(fma.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 x 1) (pow.f64 y y)) (.f64 1/2 (.f64 (pow.f64 y y) (*.f64 x x)))))
(fma.f64 1/6 (.f64 (pow.f64 y y) (pow.f64 x 3)) (.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (.f64 x (.f64 x 1/2)))))
(.f64 (pow.f64 y y) (+.f64 (+.f64 x (+.f64 1 (.f64 x (.f64 x 1/2)))) (.f64 1/6 (pow.f64 x 3))))
(.f64 (pow.f64 y y) (+.f64 x (+.f64 1 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 1/6))))))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`pow1_binary64`
626×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
611×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	149	9
2	2004	9

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-/l/_binary64`
484×	`distribute-rgt-in_binary64`
482×	`fma-neg_binary64`
428×	`distribute-lft-in_binary64`
281×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	281
1	158	246
2	527	210
3	3171	190

Stop Event

1×	node limit

Counts

44 → 48

Calls

Call 1

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

Outputs
(/.f64 1 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (/.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (neg.f64 x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (*.f64 (/.f64 y (exp.f64 (neg.f64 x))) (log.f64 y)))
(.f64 (exp.f64 x) (+.f64 1 (.f64 y (log.f64 y))))
(+.f64 (/.f64 (.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x)))) (/.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (/.f64 (.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 (neg.f64 x)))))
(+.f64 (.f64 (/.f64 y (exp.f64 (neg.f64 x))) (log.f64 y)) (fma.f64 1/2 (/.f64 (.f64 y y) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (log.f64 y) 2))) (exp.f64 x)))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 (pow.f64 (log.f64 y) 2) (.f64 1/2 (*.f64 y y))))))
(.f64 (exp.f64 x) (+.f64 1 (.f64 (log.f64 y) (+.f64 y (.f64 1/2 (.f64 (log.f64 y) (*.f64 y y)))))))
(+.f64 (/.f64 (.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 (exp.f64 (neg.f64 x))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (neg.f64 x)))))))
(+.f64 (/.f64 (.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 (neg.f64 x)))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 (/.f64 y (exp.f64 (neg.f64 x))) (log.f64 y)) (fma.f64 1/2 (/.f64 (.f64 y y) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (log.f64 y) 2))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 (neg.f64 x))) (pow.f64 (log.f64 y) 3)) (exp.f64 x))))
(+.f64 (.f64 (exp.f64 x) (+.f64 1 (.f64 y (log.f64 y)))) (.f64 (exp.f64 x) (+.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 1/6 (pow.f64 y 3))) (.f64 (pow.f64 (log.f64 y) 2) (.f64 1/2 (.f64 y y))))))
(.f64 (exp.f64 x) (+.f64 (+.f64 (.f64 y (log.f64 y)) 1) (.f64 (pow.f64 (log.f64 y) 2) (+.f64 (.f64 y (.f64 y 1/2)) (.f64 1/6 (*.f64 (log.f64 y) (pow.f64 y 3)))))))
(pow.f64 y y)
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))
(*.f64 (+.f64 x 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 1 x))
(+.f64 (pow.f64 y y) (+.f64 (.f64 (pow.f64 y y) x) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 x 2)))))
(+.f64 (pow.f64 y y) (fma.f64 (pow.f64 y y) x (neg.f64 (.f64 (.f64 (pow.f64 y y) -1/2) (*.f64 x x)))))
(-.f64 (.f64 (+.f64 x 1) (pow.f64 y y)) (.f64 (pow.f64 y y) (.f64 -1/2 (.f64 x x))))
(+.f64 (pow.f64 y y) (.f64 (pow.f64 y y) (-.f64 x (.f64 (*.f64 x x) -1/2))))
(.f64 (pow.f64 y y) (-.f64 (+.f64 1 x) (.f64 (*.f64 x x) -1/2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (+.f64 (pow.f64 y y) (.f64 -1/6 (pow.f64 y y)))) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (.f64 (pow.f64 y y) x) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (pow.f64 y y) (.f64 5/6 (pow.f64 y y))) (pow.f64 x 3)) (+.f64 (pow.f64 y y) (fma.f64 (pow.f64 y y) x (neg.f64 (.f64 (.f64 (pow.f64 y y) -1/2) (*.f64 x x))))))
(-.f64 (-.f64 (.f64 (+.f64 x 1) (pow.f64 y y)) (.f64 (pow.f64 y y) (.f64 -1/2 (.f64 x x)))) (.f64 (.f64 (pow.f64 y y) -1/6) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y y) (-.f64 x (.f64 (.f64 x x) -1/2))) (fma.f64 (pow.f64 x 3) (.f64 1/6 (pow.f64 y y)) (pow.f64 y y)))
(+.f64 (pow.f64 y y) (.f64 (pow.f64 y y) (-.f64 (+.f64 x (.f64 1/2 (.f64 x x))) (.f64 -1/6 (pow.f64 x 3)))))
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x)))
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))

eval14.0ms (0.3%)

Compiler: Compiled 969 to 365 computations (62.3% saved)

prune15.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	71	5	76

Error

Counts

76 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.7b	(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
▶	44.2b	(*.f64 (pow.f64 y y) (+.f64 x 1))
▶	44.2b	(pow.f64 y y)
✓	0.9b	(exp.f64 (-.f64 x z))
▶	19.2b	(exp.f64 x)

Compiler

Compiled 38 to 27 computations (28.9% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

localize18.0ms (0.4%)

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

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.7b	(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))
✓	44.2b	(*.f64 (pow.f64 y y) (+.f64 x 1))
✓	44.2b	(pow.f64 y y)
✓	0.9b	(exp.f64 (-.f64 x z))
✓	19.2b	(exp.f64 x)

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes40.0ms (0.8%)

Counts

8 → 1

Calls

Call 1

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

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

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 100 to 57 computations (43% saved)

regimes20.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`
0.9b	1	`z`

Compiler

Compiled 52 to 26 computations (50% saved)

regimes16.0ms (0.3%)

Accuracy

Total -25.9b remaining (-134.6%)

Threshold costs -25.9b (-134.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(exp.f64 x)

Calls

3 calls:

9.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
19.2b	1	`x`
19.2b	1	`y`
19.2b	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify8.0ms (0.2%)

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	12	23
1	17	23
2	23	23
3	25	23
4	26	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

soundness0.0ms (0%)

end42.0ms (0.8%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

Details

analyze179.0ms (3.6%)

sample3.6s (71.7%)

preprocess64.0ms (1.3%)

simplify90.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series59.0ms (1.2%)

rewrite52.0ms (1%)

simplify214.0ms (4.3%)

localize11.0ms (0.2%)

series38.0ms (0.8%)

rewrite66.0ms (1.3%)

simplify66.0ms (1.3%)

eval59.0ms (1.2%)

prune16.0ms (0.3%)

localize7.0ms (0.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite60.0ms (1.2%)

simplify67.0ms (1.3%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite70.0ms (1.4%)

simplify58.0ms (1.2%)

eval14.0ms (0.3%)

prune15.0ms (0.3%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

localize18.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes40.0ms (0.8%)

regimes20.0ms (0.4%)

regimes16.0ms (0.3%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end42.0ms (0.8%)

Profiling