Details

analyze128.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.1s (64.2%)

Results

1.4s	8256×	body	256	valid
751.0ms	5545×	body	256	invalid

preprocess108.0ms (3.2%)

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)

simplify80.0ms (2.4%)

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
▶	0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	15.3b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize12.0ms (0.4%)

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)

series78.0ms (2.3%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
47.0ms	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))

rewrite69.0ms (2.1%)

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))))))

simplify208.0ms (6.2%)

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 (0.3%)

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)

series36.0ms (1.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	z	@	inf	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
11.0ms	x	@	inf	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
6.0ms	y	@	-inf	(/.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	x	@	0	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

rewrite88.0ms (2.6%)

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))))))

simplify64.0ms (1.9%)

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))

eval22.0ms (0.7%)

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

prune29.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	97	2	99

Error

Counts

99 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(exp.f64 (-.f64 x z))
▶	28.8b	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize5.0ms (0.1%)

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series5.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite59.0ms (1.8%)

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))))))

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

372×	`fma-def_binary64`
359×	`associate-/l*_binary64`
351×	`distribute-rgt-out_binary64`
321×	`associate-/r*_binary64`
270×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	223
1	170	210
2	568	186
3	3416	178

Stop Event

1×	node limit

Counts

39 → 46

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))))

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

eval9.0ms (0.3%)

Compiler: Compiled 658 to 243 computations (63.1% saved)

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	45	3	48

Error

Counts

48 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(exp.f64 (-.f64 x z))
▶	44.1b	(pow.f64 y y)
▶	19.4b	(exp.f64 (neg.f64 z))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(exp.f64 (-.f64 x z))
✓	44.1b	(pow.f64 y y)
✓	19.4b	(exp.f64 (neg.f64 z))

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes46.0ms (1.4%)

Counts

6 → 1

Calls

Call 1

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

15.0ms	y
6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
5.0ms	x
5.0ms	(*.f64 y (log.f64 y))
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 87 to 53 computations (39.1% saved)

regimes17.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	y
4.0ms	z

Results

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

regimes11.0ms (0.3%)

Accuracy

Total -24.8b remaining (-127.4%)

Threshold costs -24.8b (-127.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
19.4b	1	`x`
19.4b	1	`y`
19.4b	1	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify6.0ms (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	14	29
1	22	29
2	26	29
3	27	29

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 31 to 22 computations (29% saved)

soundness0.0ms (0%)

end25.0ms (0.7%)

Compiler: Compiled 22 to 13 computations (40.9% saved)

Details

analyze128.0ms (3.8%)

sample2.1s (64.2%)

preprocess108.0ms (3.2%)

simplify80.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.4%)

series78.0ms (2.3%)

rewrite69.0ms (2.1%)

simplify208.0ms (6.2%)

localize11.0ms (0.3%)

series36.0ms (1.1%)

rewrite88.0ms (2.6%)

simplify64.0ms (1.9%)

eval22.0ms (0.7%)

prune29.0ms (0.9%)

localize5.0ms (0.1%)

localize9.0ms (0.3%)

series5.0ms (0.1%)

rewrite59.0ms (1.8%)

simplify51.0ms (1.5%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes46.0ms (1.4%)

regimes17.0ms (0.5%)

regimes11.0ms (0.3%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end25.0ms (0.7%)

Profiling