Details

analyze320.0ms (12.9%)

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
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (62.1%)

Results

1.0s	8256×	body	128	valid
515.0ms	4322×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess43.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

574×	`times-frac_binary64`
403×	`associate-l_binary64`
372×	`associate-r_binary64`
304×	`fma-neg_binary64`
216×	`exp-sum_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	1222	48
6	4925	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 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)))
(/.f64 (pow.f64 x x) (exp.f64 (-.f64 z y)))
(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))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 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 12 to 8 computations (33.3% saved)

simplify22.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
477×	`associate-/l/_binary64`
420×	`associate-/r/_binary64`
262×	`times-frac_binary64`
256×	`associate-*l/_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	969	12
7	2570	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)))

prune3.0ms (0.1%)

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

Status	Error	Program
	14.3b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
▶	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 66 to 42 computations (36.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series72.0ms (2.9%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	(*.f64 y (log.f64 y))
24.0ms	y	@	-inf	(*.f64 y (log.f64 y))
7.0ms	y	@	inf	(*.f64 y (log.f64 y))
3.0ms	x	@	0	(+.f64 x (*.f64 y (log.f64 y)))
1.0ms	x	@	0	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

rewrite56.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`fma-def_binary64`
494×	`log-prod_binary64`
255×	`fma-neg_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	195	25
2	2867	25

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

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

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

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

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

simplify43.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

462×	`cancel-sign-sub-inv_binary64`
404×	`associate-l_binary64`
360×	`associate-r_binary64`
360×	`fma-neg_binary64`
336×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	946
1	258	904
2	740	794
3	3067	792

Stop Event

1×	node limit

Counts

167 → 133

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

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

prune80.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	133	2	135

Error

Counts

135 → 2

Alt Table

Status	Error	Program
▶	14.3b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 2058 to 741 computations (64% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series29.0ms (1.2%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	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)))
4.0ms	x	@	0	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
1.0ms	y	@	0	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
1.0ms	z	@	0	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

rewrite45.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`prod-diff_binary64`
458×	`log-prod_binary64`
197×	`fma-def_binary64`
167×	`expm1-udef_binary64`
167×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	177	12
2	2502	12

Stop Event

1×	node limit

Counts

1 → 37

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

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
449×	`unswap-sqr_binary64`
281×	`cancel-sign-sub-inv_binary64`
249×	`associate-r_binary64`
232×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	437
1	195	433
2	598	377
3	2906	373

Stop Event

1×	node limit

Counts

49 → 60

Calls

Call 1

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

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

prune39.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	14.3b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 1091 to 304 computations (72.1% saved)

regimes61.0ms (2.5%)

Accuracy

Total 0.0b remaining (90.2%)

Threshold costs 0.0b (90.2%)

Counts

12 → 1

Compiler

Compiled 143 to 74 computations (48.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	10	12
2	15	12
3	17	12
4	18	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

Outputs
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

end75.0ms (3%)

Stop Event

1×

done

Compiler

Compiled 45 to 29 computations (35.6% saved)

Details

analyze320.0ms (12.9%)

sample1.5s (62.1%)

preprocess43.0ms (1.7%)

simplify22.0ms (0.9%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series72.0ms (2.9%)

rewrite56.0ms (2.2%)

simplify43.0ms (1.7%)

prune80.0ms (3.2%)

localize7.0ms (0.3%)

series29.0ms (1.2%)

rewrite45.0ms (1.8%)

simplify38.0ms (1.5%)

prune39.0ms (1.6%)

regimes61.0ms (2.5%)

simplify2.0ms (0.1%)

end75.0ms (3%)

Profiling