Details

analyze521.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	99.7%	0.3%	0%	0%	0%	8
0%	0%	97.4%	0.3%	2.3%	0%	0%	9
0%	0%	47.5%	0.3%	3.5%	48.7%	0%	10
0%	0%	47.5%	0.3%	3.5%	48.7%	0%	11
0%	0%	47.5%	0.3%	3.5%	48.7%	0%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample9.4s (35.9%)

Results

3.9s	12710×	body	256	invalid
2.5s	7832×	body	256	valid
1.9s	5426×	body	256	infinite
790.0ms	305×	body	512	valid
94.0ms	119×	body	1024	valid
64.0ms	134×	body	512	infinite
46.0ms	57×	body	1024	infinite

Bogosity

preprocess63.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

580×	`fma-def_binary64`
570×	`exp-sum_binary64`
512×	`unswap-sqr_binary64`
350×	`associate-r_binary64`
332×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	416
1	270	400
2	647	400
3	1788	400
4	5146	400
0	6	6

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

Inputs
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 y (exp.f64 (+.f64 (.f64 x (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 z (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 x) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 x)) b)))))
(.f64 t (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) x)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 a (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 x (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 b (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) x)))))
(.f64 x (exp.f64 (+.f64 (.f64 z (-.f64 (log.f64 y) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 y)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 t (-.f64 (log.f64 z) y)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 a (-.f64 (log.f64 z) t)) (*.f64 y (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 b (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) y)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 t) z)) (*.f64 a (-.f64 (log.f64 (-.f64 1 t)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 a) t)) (*.f64 z (-.f64 (log.f64 (-.f64 1 a)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 b) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 b)) z)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) a)) (*.f64 t (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) b)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) t)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 b (-.f64 (log.f64 (-.f64 1 z)) a)))))

Outputs
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
(.f64 y (exp.f64 (+.f64 (.f64 x (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 y (exp.f64 (fma.f64 x (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 y (exp.f64 (fma.f64 x (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(.f64 z (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 x) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 x)) b)))))
(.f64 z (exp.f64 (fma.f64 y (-.f64 (log.f64 x) t) (.f64 a (-.f64 (log.f64 (-.f64 1 x)) b)))))
(.f64 z (exp.f64 (fma.f64 y (-.f64 (log.f64 x) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 x)) b)))))
(.f64 z (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 x)) b) (.f64 y (-.f64 (log.f64 x) t)))))
(.f64 t (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) x)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 t (exp.f64 (fma.f64 y (-.f64 (log.f64 z) x) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 t (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) x)))))
(.f64 t (exp.f64 (fma.f64 y (-.f64 (log.f64 z) x) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(.f64 a (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 x (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 a (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 x (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 a (exp.f64 (fma.f64 x (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
(.f64 b (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) x)))))
(.f64 b (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) x)))))
(.f64 b (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) x)))))
(.f64 b (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) x) (.f64 y (-.f64 (log.f64 z) t)))))
(.f64 x (exp.f64 (+.f64 (.f64 z (-.f64 (log.f64 y) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 y)) b)))))
(.f64 x (exp.f64 (fma.f64 z (-.f64 (log.f64 y) t) (.f64 a (-.f64 (log.f64 (-.f64 1 y)) b)))))
(.f64 x (exp.f64 (fma.f64 z (-.f64 (log.f64 y) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 y)) b)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 y)) b) (.f64 z (-.f64 (log.f64 y) t)))))
(.f64 x (exp.f64 (+.f64 (.f64 t (-.f64 (log.f64 z) y)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 t (-.f64 (log.f64 z) y) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 t (-.f64 (log.f64 z) y)))))
(.f64 x (exp.f64 (fma.f64 t (-.f64 (log.f64 z) y) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 a (-.f64 (log.f64 z) t)) (*.f64 y (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log.f64 z) t) (.f64 y (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) a))))
(.f64 x (exp.f64 (+.f64 (.f64 b (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) y)))))
(.f64 x (exp.f64 (fma.f64 b (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) y)))))
(.f64 x (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) b (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) y)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 t) z)) (*.f64 a (-.f64 (log.f64 (-.f64 1 t)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 t) z) (.f64 a (-.f64 (log.f64 (-.f64 1 t)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 t) z) (.f64 a (-.f64 (log1p.f64 (neg.f64 t)) b)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 t)) b) (.f64 y (-.f64 (log.f64 t) z)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 a) t)) (*.f64 z (-.f64 (log.f64 (-.f64 1 a)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 a) t) (.f64 z (-.f64 (log.f64 (-.f64 1 a)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 a) t) (.f64 z (-.f64 (log1p.f64 (neg.f64 a)) b)))))
(.f64 x (exp.f64 (fma.f64 z (-.f64 (log1p.f64 (neg.f64 a)) b) (.f64 y (-.f64 (log.f64 a) t)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 b) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 b)) z)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 b) t) (.f64 a (-.f64 (log.f64 (-.f64 1 b)) z)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 b) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 b)) z)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 b)) z) (.f64 y (-.f64 (log.f64 b) t)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) a)) (*.f64 t (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) a) (.f64 t (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) a) (.f64 t (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(.f64 x (exp.f64 (fma.f64 t (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) a)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) b)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) t)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) b) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) t)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) b) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) t)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) t) (.f64 y (-.f64 (log.f64 z) b)))))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 b (-.f64 (log.f64 (-.f64 1 z)) a)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 b (-.f64 (log.f64 (-.f64 1 z)) a)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 b (-.f64 (log1p.f64 (neg.f64 z)) a)))))
(.f64 x (exp.f64 (fma.f64 b (-.f64 (log1p.f64 (neg.f64 z)) a) (.f64 y (-.f64 (log.f64 z) t)))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

556×	`associate-/l*_binary64`
456×	`unswap-sqr_binary64`
440×	`fma-neg_binary64`
361×	`fma-def_binary64`
333×	`exp-sum_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	34	25
2	73	25
3	186	25
4	478	25
5	1553	25
6	3824	25
7	7467	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))

Outputs
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))

eval1.0ms (0%)

Compiler: Compiled 40 to 23 computations (42.5% saved)

prune2.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.8b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
▶	0.1b	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
✓	0.1b	(*.f64 y (-.f64 (log.f64 z) t))
✓	0.8b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
✓	5.7b	(log.f64 (-.f64 1 z))

Compiler

Compiled 95 to 45 computations (52.6% saved)

series226.0ms (0.9%)

Counts

4 → 164

Calls

42 calls:

Time	Variable		Point	Expression
83.0ms	y	@	0	(*.f64 y (-.f64 (log.f64 z) t))
39.0ms	y	@	0	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
22.0ms	z	@	-inf	(*.f64 y (-.f64 (log.f64 z) t))
20.0ms	z	@	0	(*.f64 y (-.f64 (log.f64 z) t))
14.0ms	z	@	inf	(*.f64 y (-.f64 (log.f64 z) t))

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log-prod_binary64`
697×	`fma-def_binary64`
323×	`fma-neg_binary64`
315×	`expm1-udef_binary64`
315×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	343	56
2	4827	56

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(log.f64 (-.f64 1 z))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
(*.f64 y (-.f64 (log.f64 z) t))
(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))

Outputs
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simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-+l+_binary64`
334×	`distribute-rgt-in_binary64`
328×	`distribute-lft-in_binary64`
312×	`fma-def_binary64`
225×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	4846
1	858	4418
2	2899	4002

Stop Event

1×	node limit

Counts

317 → 289

Calls

Call 1

Inputs
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (.f64 -1/2 (pow.f64 z 2)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2))))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1/3 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (pow.f64 z 2)) (.f64 -1/4 (pow.f64 z 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (/.f64 1 z))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(*.f64 -1 (log.f64 (/.f64 -1 z)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 z))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 -1/3 (.f64 a (pow.f64 z 3))) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))
(+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (/.f64 a z)))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (+.f64 (.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (+.f64 (.f64 -1/3 (/.f64 a (pow.f64 z 3))) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 -1 (.f64 y t))))
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 -1 (.f64 y t))))
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(+.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) b))) (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 (log.f64 (-.f64 1 z)) a))) (pow.f64 b 3)))))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1 z (.f64 -1/2 (.f64 z z)))
(-.f64 (.f64 -1/2 (.f64 z z)) z)
(.f64 z (+.f64 -1 (.f64 -1/2 z)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2))))
(fma.f64 -1 z (fma.f64 -1/3 (pow.f64 z 3) (.f64 -1/2 (.f64 z z))))
(-.f64 (fma.f64 -1/2 (.f64 z z) (.f64 -1/3 (pow.f64 z 3))) z)
(-.f64 (.f64 (.f64 z z) (+.f64 -1/2 (*.f64 -1/3 z))) z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1/3 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (pow.f64 z 2)) (.f64 -1/4 (pow.f64 z 4)))))
(fma.f64 -1 z (fma.f64 -1/3 (pow.f64 z 3) (fma.f64 -1/2 (.f64 z z) (.f64 -1/4 (pow.f64 z 4)))))
(-.f64 (fma.f64 -1/3 (pow.f64 z 3) (fma.f64 -1/2 (.f64 z z) (.f64 -1/4 (pow.f64 z 4)))) z)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 z))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (/.f64 1 z))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) (/.f64 1 z))
(+.f64 (log.f64 -1) (-.f64 (log.f64 z) (/.f64 1 z)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 z) (/.f64 -1 z)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) (+.f64 (/.f64 1 z) (/.f64 1/2 (*.f64 z z))))
(+.f64 (log.f64 z) (-.f64 (+.f64 (log.f64 -1) (/.f64 -1 z)) (/.f64 1/2 (*.f64 z z))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 z)) (+.f64 (/.f64 -1 z) (/.f64 -1/2 (*.f64 z z))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 z) (+.f64 (/.f64 1/2 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3))))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 z) (/.f64 -1/2 (*.f64 z z))) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 z)))
(neg.f64 (log.f64 (/.f64 -1 z)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 z))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (/.f64 1 z))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 -1 z))
(-.f64 (/.f64 -1 z) (log.f64 (/.f64 -1 z)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 1 z) (/.f64 1/2 (*.f64 z z))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 -1 z)) (/.f64 1/2 (*.f64 z z)))
(+.f64 (-.f64 (/.f64 -1 z) (log.f64 (/.f64 -1 z))) (/.f64 -1/2 (*.f64 z z)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 1/2 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 -1 z)) (/.f64 1/2 (*.f64 z z))) (/.f64 1/3 (pow.f64 z 3)))
(+.f64 (-.f64 (-.f64 (/.f64 -1 z) (log.f64 (/.f64 -1 z))) (/.f64 1/3 (pow.f64 z 3))) (/.f64 -1/2 (*.f64 z z)))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))
(fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (*.f64 b a)))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 b (neg.f64 a)))
(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))
(+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))
(fma.f64 -1 (.f64 z a) (fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (.f64 b a))))
(-.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 b (neg.f64 a))) (.f64 z a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (neg.f64 a) (+.f64 b z)))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))))
(fma.f64 -1/2 (.f64 (.f64 z z) a) (fma.f64 -1 (.f64 z a) (fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (.f64 b a)))))
(fma.f64 -1/2 (.f64 (.f64 z z) a) (-.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 b (neg.f64 a))) (.f64 z a)))
(+.f64 (-.f64 (.f64 a (.f64 z (+.f64 -1 (.f64 -1/2 z)))) (.f64 b a)) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 -1/3 (.f64 a (pow.f64 z 3))) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))))
(fma.f64 -1/2 (.f64 (.f64 z z) a) (fma.f64 -1 (.f64 z a) (fma.f64 -1/3 (.f64 (pow.f64 z 3) a) (fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (*.f64 b a))))))
(fma.f64 -1/2 (.f64 (.f64 z z) a) (-.f64 (-.f64 (fma.f64 -1/3 (.f64 (pow.f64 z 3) a) (.f64 (-.f64 (log.f64 z) t) y)) (.f64 b a)) (.f64 z a)))
(+.f64 (-.f64 (fma.f64 -1/3 (.f64 (pow.f64 z 3) a) (.f64 (-.f64 (log.f64 z) t) y)) (.f64 b a)) (.f64 a (.f64 z (+.f64 -1 (.f64 -1/2 z)))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))
(fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (*.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b)))
(fma.f64 a (+.f64 (log.f64 -1) (-.f64 (log.f64 z) b)) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z))))
(fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (neg.f64 (/.f64 a z))))
(-.f64 (fma.f64 a (+.f64 (log.f64 -1) (-.f64 (log.f64 z) b)) (*.f64 (-.f64 (log.f64 z) t) y)) (/.f64 a z))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (/.f64 a z)))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (neg.f64 (/.f64 a z)))))
(fma.f64 -1/2 (/.f64 a (.f64 z z)) (-.f64 (fma.f64 a (+.f64 (log.f64 -1) (-.f64 (log.f64 z) b)) (.f64 (-.f64 (log.f64 z) t) y)) (/.f64 a z)))
(+.f64 (fma.f64 a (+.f64 (log.f64 -1) (-.f64 (log.f64 z) b)) (.f64 (-.f64 (log.f64 z) t) y)) (.f64 (/.f64 a z) (+.f64 -1 (/.f64 -1/2 z))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (+.f64 (.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(fma.f64 -1/2 (/.f64 a (.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (fma.f64 -1 (/.f64 a z) (.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (+.f64 (log.f64 -1) (-.f64 (log.f64 z) b)) (fma.f64 (-.f64 (log.f64 z) t) y (-.f64 (/.f64 -1/3 (/.f64 (pow.f64 z 3) a)) (/.f64 a z)))))
(+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))))
(fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))
(fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (*.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z)))))
(+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))
(fma.f64 -1 (/.f64 a z) (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))))
(-.f64 (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))) (/.f64 a z))
(-.f64 (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (*.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z))))) (/.f64 a z))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))))
(fma.f64 -1/2 (/.f64 a (.f64 z z)) (fma.f64 -1 (/.f64 a z) (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))))))
(fma.f64 -1/2 (/.f64 a (.f64 z z)) (-.f64 (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))) (/.f64 a z)))
(+.f64 (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z))))) (.f64 (/.f64 a z) (+.f64 -1 (/.f64 -1/2 z))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (+.f64 (.f64 -1/3 (/.f64 a (pow.f64 z 3))) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))))
(fma.f64 -1/2 (/.f64 a (.f64 z z)) (fma.f64 -1 (/.f64 a z) (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (fma.f64 -1/3 (/.f64 a (pow.f64 z 3)) (.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))))))
(fma.f64 -1/2 (/.f64 a (.f64 z z)) (-.f64 (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (fma.f64 -1/3 (/.f64 a (pow.f64 z 3)) (.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))) (/.f64 a z)))
(+.f64 (fma.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z))) (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 -1/3 (/.f64 (pow.f64 z 3) a)))) (*.f64 (/.f64 a z) (+.f64 -1 (/.f64 -1/2 z))))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (log.f64 z) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (log.f64 z) y))
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(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a)))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (log.f64 (-.f64 1 z)) a)))
(exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (-.f64 1 z) a))
(+.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 (log.f64 (-.f64 1 z)) a))) b))))
(+.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a))) (neg.f64 (.f64 a (.f64 b (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a)))))))
(-.f64 (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (.f64 (-.f64 (log.f64 z) t) y))) (.f64 b (.f64 a (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (.f64 (-.f64 (log.f64 z) t) y))))))
(.f64 (+.f64 (.f64 b (neg.f64 a)) 1) (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (-.f64 1 z) a)))
(+.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (pow.f64 b 2)))) (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) b)))))
(+.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a))) (fma.f64 1/2 (.f64 (.f64 a a) (.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a))) (.f64 b b))) (neg.f64 (.f64 a (.f64 b (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (log.f64 (-.f64 1 z)) a))))))))
(-.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)) (pow.f64 (-.f64 1 z) a) (.f64 1/2 (.f64 (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (.f64 (-.f64 (log.f64 z) t) y))) (.f64 (.f64 b b) (.f64 a a))))) (.f64 b (.f64 a (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (*.f64 (-.f64 (log.f64 z) t) y))))))
(fma.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (-.f64 1 z) a) (.f64 (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (-.f64 1 z) a)) (-.f64 (.f64 (.f64 1/2 (.f64 a a)) (.f64 b b)) (*.f64 b a))))
(+.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) (pow.f64 b 2)))) (+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (log.f64 (-.f64 1 z)) a))) b))) (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 (log.f64 (-.f64 1 z)) a))) (pow.f64 b 3)))))))
(+.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a))) (fma.f64 1/2 (.f64 (.f64 a a) (.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a))) (.f64 b b))) (fma.f64 -1 (.f64 a (.f64 b (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 (log.f64 (-.f64 1 z)) a))))) (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (log.f64 (-.f64 1 z)) a))) (pow.f64 b 3)))))))
(fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)) (pow.f64 (-.f64 1 z) a) (fma.f64 1/2 (.f64 (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (.f64 (-.f64 (log.f64 z) t) y))) (.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 -1/6 (.f64 (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (.f64 (-.f64 (log.f64 z) t) y))) (.f64 (pow.f64 b 3) (pow.f64 a 3)))) (.f64 b (.f64 a (exp.f64 (fma.f64 (log1p.f64 (neg.f64 z)) a (.f64 (-.f64 (log.f64 z) t) y))))))))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (-.f64 1 z) a)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 a 3)) (pow.f64 b 3)) (.f64 b a))) (.f64 (+.f64 (.f64 (.f64 1/2 (.f64 a a)) (.f64 b b)) 1) (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (-.f64 1 z) a))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (+.f64 (log.f64 (-.f64 1 z)) (*.f64 -1 b)))))
(exp.f64 (-.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (.f64 (log.f64 z) y)) (.f64 t y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
✓	0.0b	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
✓	0.0b	(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t))))
	0.1b	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 77 to 15 computations (80.5% saved)

series126.0ms (0.5%)

Counts

3 → 188

Calls

48 calls:

Time	Variable		Point	Expression
87.0ms	x	@	0	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
5.0ms	z	@	-inf	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
2.0ms	b	@	0	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
2.0ms	a	@	0	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
2.0ms	a	@	-inf	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log-prod_binary64`
413×	`fma-def_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
275×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	332	61
2	4451	61

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))

Inputs

(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t))))

(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))

(*.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))))

Outputs
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Outputs

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

simplify292.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

506×	`distribute-rgt-in_binary64`
503×	`distribute-lft-in_binary64`
500×	`times-frac_binary64`
469×	`associate-r_binary64`
407×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	7558
1	1152	7015
2	4175	6228

Stop Event

1×	node limit

Counts

263 → 238

Calls

Call 1

Inputs
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 z) t) y)))) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y)))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 z) t) y)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 z)) b) 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) (.f64 a (exp.f64 (.f64 (-.f64 (log.f64 z) t) y)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 z)) b) 3) (.f64 (pow.f64 a 3) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 z)) b) 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y)))))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b))))
(+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))) z))) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))))
(+.f64 (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a)))) (+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))) z))) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/3 a) (.f64 -1/6 (pow.f64 a 3)))) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))) (pow.f64 z 3))) (+.f64 (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a)))) (+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))) z))) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (.f64 a b)))))))
(exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))) z)) (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 a (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))) z)) (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/3 a) (.f64 -1/6 (pow.f64 a 3)))) (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a)) (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 a (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))))) z)) (exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))))))
(exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))) z)) (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))) z)) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a))) (pow.f64 z 2)) (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 1/3 a) (.f64 1/6 (pow.f64 a 3)))) (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a))) (pow.f64 z 2)) (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (-.f64 1 z))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))) (+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))) (+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (-.f64 1 z)))))))) (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (-.f64 1 z))))))))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (+.f64 (.f64 -1 b) (log1p.f64 (neg.f64 z))) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (+.f64 (.f64 -1 b) (log1p.f64 (neg.f64 z))) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (+.f64 (.f64 -1 b) (log1p.f64 (neg.f64 z))) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (+.f64 (.f64 -1 b) (log1p.f64 (neg.f64 z))) (.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a))))) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a))))
(+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a))))) (+.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a))))))))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
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(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 1/3 a) (.f64 1/6 (pow.f64 a 3)))) (.f64 (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))) x)) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 -1/2 a)) x)) (pow.f64 z 2)) (+.f64 (.f64 (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))) x) (.f64 -1 (/.f64 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))) x)) z)))))
(.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (*.f64 y (-.f64 (log.f64 z) t)))) x)
(+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) (.f64 b x)))) (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (*.f64 y (-.f64 (log.f64 z) t)))) x))
(+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) (.f64 b x)))) (+.f64 (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) x) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) (*.f64 (pow.f64 b 2) x))))))
(+.f64 (.f64 -1 (.f64 a (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) (.f64 b x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) (.f64 (pow.f64 b 3) x)))) (+.f64 (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) x) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))) (*.f64 (pow.f64 b 2) x)))))))
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (+.f64 (log1p.f64 (neg.f64 z)) (.f64 -1 b)) (*.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (+.f64 (log1p.f64 (neg.f64 z)) (.f64 -1 b)) (*.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (+.f64 (log1p.f64 (neg.f64 z)) (.f64 -1 b)) (*.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (+.f64 (log1p.f64 (neg.f64 z)) (.f64 -1 b)) (*.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x)
(+.f64 (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x) (.f64 (-.f64 (log.f64 z) t) (.f64 y (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x))))
(+.f64 (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x) (+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x))) (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x))))))
(+.f64 (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x) (+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x)))) (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x)))))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))) x)
(.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (log.f64 z)))) x)
(+.f64 (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))) x) (.f64 -1 (.f64 y (.f64 t (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (log.f64 z)))) x)))))
(+.f64 (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))) x) (+.f64 (.f64 -1 (.f64 y (.f64 t (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))) x)))) (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 t 2) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (log.f64 z)))) x))))))
(+.f64 (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))) x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 t 3) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))) x)))) (+.f64 (.f64 -1 (.f64 y (.f64 t (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))) x)))) (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 t 2) (.f64 (exp.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (log.f64 z)))) x)))))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 (-.f64 (log.f64 z) t) y))))
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))) x)
(.f64 (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))) x)

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

eval373.0ms (1.4%)

Compiler: Compiled 17162 to 7727 computations (55% saved)

prune265.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	549	9	558
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	551	9	560

Error

0.0b

Counts

560 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	23.4b	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
	20.6b	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
▶	3.3b	(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))
▶	23.1b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	23.0b	(+.f64 (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x) (.f64 (-.f64 (log.f64 z) t) (.f64 y (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)) x))))
	2.4b	(.f64 x (pow.f64 (exp.f64 1) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b)))))
▶	19.9b	(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
▶	2.6b	(.f64 x (pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 z) b))))) 1/3))
▶	1.8b	(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))

Compiler

Compiled 368 to 260 computations (29.3% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
✓	0.0b	(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
✓	0.1b	(*.f64 (-.f64 (log.f64 z) t) y)
✓	0.8b	(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))

Compiler

Compiled 61 to 13 computations (78.7% saved)

series35.0ms (0.1%)

Counts

4 → 212

Calls

57 calls:

Time	Variable		Expression
6.0ms	b	@	(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
1.0ms	t	@	(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
1.0ms	x	@	(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
1.0ms	b	@	(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
1.0ms	z	@	(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))

rewrite118.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
567×	`fma-def_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`
266×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	302	61
2	4119	61

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))
(*.f64 (-.f64 (log.f64 z) t) y)
(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (.f64 a (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (log.f64 z) t) y) (fma.f64 b (neg.f64 a) (fma.f64 b (neg.f64 a) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) (fma.f64 b (neg.f64 a) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) (fma.f64 (.f64 a (neg.f64 b)) 1 (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 b a))) (pow.f64 (cbrt.f64 (.f64 b a)) 2) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) (.f64 (fma.f64 b (neg.f64 a) (.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) (+.f64 (fma.f64 b (neg.f64 a) (.f64 b a)) (fma.f64 b (neg.f64 a) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (neg.f64 a) (.f64 b a)) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (neg.f64 b)) (.f64 (-.f64 (log.f64 z) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 1/3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))) (.f64 1/3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))) (.f64 1/2 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))) (.f64 2 (.f64 1/3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))) 2) (cbrt.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))) (sqrt.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 1/3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 (-.f64 (log.f64 z) t) y) 3) (pow.f64 (.f64 b a) 3)) (/.f64 1 (fma.f64 (.f64 b a) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 b a)) (pow.f64 (.f64 (-.f64 (log.f64 z) t) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 (-.f64 (log.f64 z) t) y) 2) (pow.f64 (.f64 b a) 2)) (/.f64 1 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 (-.f64 (log.f64 z) t) y)) (sqrt.f64 (.f64 b a))) (-.f64 (sqrt.f64 (.f64 (-.f64 (log.f64 z) t) y)) (sqrt.f64 (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 b a) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 b a)) (pow.f64 (.f64 (-.f64 (log.f64 z) t) y) 2)) (-.f64 (pow.f64 (.f64 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simplify269.0ms (1%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary64`
612×	`fma-neg_binary64`
574×	`unswap-sqr_binary64`
512×	`*-commutative_binary64`
226×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	4471
1	515	4280
2	1711	3904
3	5016	3820

Stop Event

1×	node limit

Counts

466 → 337

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
✓	0.0b	(exp.f64 (*.f64 b (neg.f64 a)))

Compiler

Compiled 27 to 10 computations (63% saved)

series12.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
1.0ms	b	@	0	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
1.0ms	x	@	inf	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
1.0ms	a	@	0	(exp.f64 (*.f64 b (neg.f64 a)))
1.0ms	b	@	0	(exp.f64 (*.f64 b (neg.f64 a)))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`pow1_binary64`
607×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	159	15
2	1994	15

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(exp.f64 (*.f64 b (neg.f64 a)))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))

Outputs

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

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

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

921×	`distribute-rgt-neg-in_binary64`
891×	`fma-neg_binary64`
775×	`distribute-lft-neg-in_binary64`
747×	`unswap-sqr_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	734
1	111	724
2	367	696
3	1737	634
4	4197	634

Stop Event

1×	node limit

Counts

98 → 57

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1 (.f64 a b)))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b)))))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
1
(+.f64 1 (.f64 -1 (.f64 a b)))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b)))))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (.f64 -1 (.f64 a b)))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (.f64 b x))) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (.f64 b x))) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))

Outputs
1
(+.f64 1 (.f64 -1 (.f64 a b)))
(+.f64 1 (neg.f64 (*.f64 a b)))
(-.f64 1 (*.f64 a b))
(fma.f64 a (neg.f64 b) 1)
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b))))
(+.f64 1 (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (neg.f64 (.f64 a b))))
(+.f64 (-.f64 1 (.f64 a b)) (.f64 1/2 (.f64 (.f64 a b) (*.f64 a b))))
(+.f64 1 (.f64 b (-.f64 (.f64 1/2 (.f64 a (.f64 a b))) a)))
(+.f64 1 (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 b b))) b)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b)))))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 1 (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (neg.f64 (*.f64 a b)))))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (-.f64 1 (.f64 a b)) (.f64 1/2 (.f64 (.f64 a b) (.f64 a b)))))
(+.f64 (.f64 b (-.f64 (.f64 1/2 (.f64 a (.f64 a b))) a)) (fma.f64 (pow.f64 a 3) (*.f64 -1/6 (pow.f64 b 3)) 1))
(+.f64 1 (fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 a (-.f64 (.f64 1/2 (.f64 a (*.f64 b b))) b))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 b b))) b)) (fma.f64 (pow.f64 b 3) (*.f64 -1/6 (pow.f64 a 3)) 1))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
1
(+.f64 1 (.f64 -1 (.f64 a b)))
(+.f64 1 (neg.f64 (*.f64 a b)))
(-.f64 1 (*.f64 a b))
(fma.f64 a (neg.f64 b) 1)
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b))))
(+.f64 1 (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (neg.f64 (.f64 a b))))
(+.f64 (-.f64 1 (.f64 a b)) (.f64 1/2 (.f64 (.f64 a b) (*.f64 a b))))
(+.f64 1 (.f64 b (-.f64 (.f64 1/2 (.f64 a (.f64 a b))) a)))
(+.f64 1 (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 b b))) b)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (.f64 a b)))))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 1 (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (neg.f64 (*.f64 a b)))))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (-.f64 1 (.f64 a b)) (.f64 1/2 (.f64 (.f64 a b) (.f64 a b)))))
(+.f64 (.f64 b (-.f64 (.f64 1/2 (.f64 a (.f64 a b))) a)) (fma.f64 (pow.f64 a 3) (*.f64 -1/6 (pow.f64 b 3)) 1))
(+.f64 1 (fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 a (-.f64 (.f64 1/2 (.f64 a (*.f64 b b))) b))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 b b))) b)) (fma.f64 (pow.f64 b 3) (*.f64 -1/6 (pow.f64 a 3)) 1))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(exp.f64 (.f64 -1 (.f64 a b)))
(exp.f64 (neg.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (neg.f64 a)) b)
(pow.f64 (exp.f64 a) (neg.f64 b))
(pow.f64 (exp.f64 b) (neg.f64 a))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 (exp.f64 (.f64 -1 (*.f64 a b))) x)
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(fma.f64 -1 (.f64 a (.f64 b x)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 x (fma.f64 a (neg.f64 b) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (.f64 b x))) x))
(fma.f64 1/2 (.f64 (.f64 (.f64 a a) (.f64 b b)) x) (fma.f64 -1 (.f64 a (.f64 b x)) x))
(fma.f64 1/2 (.f64 (.f64 (.f64 a b) (.f64 a b)) x) (-.f64 x (.f64 a (.f64 b x))))
(+.f64 x (.f64 x (.f64 b (-.f64 (.f64 1/2 (.f64 a (*.f64 a b))) a))))
(-.f64 x (.f64 (.f64 b x) (-.f64 a (.f64 b (.f64 1/2 (*.f64 a a))))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x)) (fma.f64 1/2 (.f64 (.f64 (.f64 a a) (.f64 b b)) x) (fma.f64 -1 (.f64 a (.f64 b x)) x)))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x)) (fma.f64 1/2 (.f64 (.f64 (.f64 a b) (.f64 a b)) x) (-.f64 x (.f64 a (.f64 b x)))))
(+.f64 x (fma.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x)) (.f64 x (.f64 b (-.f64 (.f64 1/2 (.f64 a (*.f64 a b))) a)))))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 b b))) b)))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(fma.f64 -1 (.f64 a (.f64 b x)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 x (fma.f64 a (neg.f64 b) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (.f64 b x))) x))
(fma.f64 1/2 (.f64 (.f64 (.f64 a a) (.f64 b b)) x) (fma.f64 -1 (.f64 a (.f64 b x)) x))
(fma.f64 1/2 (.f64 (.f64 (.f64 a b) (.f64 a b)) x) (-.f64 x (.f64 a (.f64 b x))))
(+.f64 x (.f64 x (.f64 b (-.f64 (.f64 1/2 (.f64 a (*.f64 a b))) a))))
(-.f64 x (.f64 (.f64 b x) (-.f64 a (.f64 b (.f64 1/2 (*.f64 a a))))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) (+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x)) (fma.f64 1/2 (.f64 (.f64 (.f64 a a) (.f64 b b)) x) (fma.f64 -1 (.f64 a (.f64 b x)) x)))
(fma.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x)) (fma.f64 1/2 (.f64 (.f64 (.f64 a b) (.f64 a b)) x) (-.f64 x (.f64 a (.f64 b x)))))
(+.f64 x (fma.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x)) (.f64 x (.f64 b (-.f64 (.f64 1/2 (.f64 a (*.f64 a b))) a)))))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 a (-.f64 (.f64 1/2 (.f64 a (.f64 b b))) b)))))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))
(.f64 x (exp.f64 (.f64 -1 (*.f64 a b))))
(.f64 (exp.f64 (neg.f64 (.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(/.f64 x (pow.f64 (exp.f64 a) b))

localize42.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (exp.f64 t))
✓	0.0b	(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
✓	0.2b	(pow.f64 (/.f64 z (exp.f64 t)) y)

Compiler

Compiled 30 to 10 computations (66.7% saved)

series394.0ms (1.5%)

Counts

3 → 44

Calls

27 calls:

Time	Variable		Point	Expression
143.0ms	t	@	-inf	(pow.f64 (/.f64 z (exp.f64 t)) y)
64.0ms	t	@	inf	(pow.f64 (/.f64 z (exp.f64 t)) y)
61.0ms	z	@	0	(pow.f64 (/.f64 z (exp.f64 t)) y)
52.0ms	z	@	-inf	(pow.f64 (/.f64 z (exp.f64 t)) y)
35.0ms	x	@	0	(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`pow1_binary64`
862×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
840×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	183	27
2	2332	27

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(pow.f64 (/.f64 z (exp.f64 t)) y)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(/.f64 z (exp.f64 t))

Outputs

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

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

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

simplify279.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

514×	`unsub-neg_binary64`
422×	`times-frac_binary64`
398×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
387×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1220
1	444	1017
2	1656	852
3	6011	784

Stop Event

1×	node limit

Counts

104 → 105

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z)))))
(pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z))))
(pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z)))))
(pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z))))
(pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z)))))
(pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z))))
(pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y)
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z)))))
(pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z))))
(pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y)
(pow.f64 z y)
(+.f64 (pow.f64 z y) (.f64 -1 (.f64 (pow.f64 z y) (*.f64 y t))))
(+.f64 (pow.f64 z y) (neg.f64 (.f64 (pow.f64 z y) (.f64 t y))))
(-.f64 (pow.f64 z y) (.f64 t (.f64 y (pow.f64 z y))))
(.f64 (+.f64 (.f64 t (neg.f64 y)) 1) (pow.f64 z y))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z)) 1))) (.f64 1/2 (pow.f64 y 2))) (.f64 (pow.f64 z y) (pow.f64 t 2))) (+.f64 (pow.f64 z y) (.f64 -1 (.f64 (pow.f64 z y) (*.f64 y t)))))
(fma.f64 (.f64 1/2 (+.f64 (.f64 y (fma.f64 -2 (/.f64 (.f64 z -1/2) z) -1)) (.f64 y y))) (.f64 (pow.f64 z y) (.f64 t t)) (+.f64 (pow.f64 z y) (neg.f64 (.f64 (pow.f64 z y) (.f64 t y)))))
(fma.f64 (.f64 1/2 (.f64 y (+.f64 (+.f64 -1 (/.f64 (.f64 1 z) z)) y))) (.f64 t (.f64 t (pow.f64 z y))) (-.f64 (pow.f64 z y) (.f64 t (*.f64 y (pow.f64 z y)))))
(+.f64 (pow.f64 z y) (.f64 (pow.f64 z y) (+.f64 (.f64 (.f64 y (+.f64 0 (.f64 y 1/2))) (.f64 t t)) (.f64 t (neg.f64 y)))))
(+.f64 (pow.f64 z y) (.f64 (pow.f64 z y) (-.f64 (.f64 (.f64 y (.f64 y 1/2)) (.f64 t t)) (.f64 t y))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z)) 1))) (.f64 1/2 (pow.f64 y 2))) (.f64 (pow.f64 z y) (pow.f64 t 2))) (+.f64 (pow.f64 z y) (+.f64 (.f64 (pow.f64 z y) (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z)) 1))) (.f64 1/6 (.f64 y (-.f64 (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (+.f64 (.f64 -1 z) (.f64 1/2 z))) (.f64 1/6 z))) z)) (.f64 -6 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z))) 2))))))) (.f64 -1 (.f64 (pow.f64 z y) (.f64 y t))))))
(fma.f64 (.f64 1/2 (+.f64 (.f64 y (fma.f64 -2 (/.f64 (.f64 z -1/2) z) -1)) (.f64 y y))) (.f64 (pow.f64 z y) (.f64 t t)) (+.f64 (pow.f64 z y) (fma.f64 (pow.f64 z y) (.f64 (pow.f64 t 3) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 (fma.f64 -2 (/.f64 (.f64 z -1/2) z) -1) (.f64 y y)) (.f64 (.f64 1/6 y) (+.f64 (.f64 -6 (+.f64 (/.f64 (fma.f64 -1/2 z (fma.f64 -1 (.f64 z -1/2) (.f64 z 1/6))) z) (/.f64 (.f64 z -1/2) z))) -2))))) (neg.f64 (.f64 (pow.f64 z y) (.f64 t y))))))
(fma.f64 (.f64 1/2 (.f64 y (+.f64 (+.f64 -1 (/.f64 (.f64 1 z) z)) y))) (.f64 t (.f64 t (pow.f64 z y))) (-.f64 (.f64 (+.f64 (.f64 (pow.f64 t 3) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 y (.f64 y (+.f64 -1 (/.f64 (.f64 1 z) z)))) (.f64 (fma.f64 -6 (/.f64 (fma.f64 z -1/2 (fma.f64 z 1/6 (.f64 z 1/2))) z) (+.f64 (/.f64 (.f64 3 z) z) -2)) (.f64 y 1/6))))) 1) (pow.f64 z y)) (.f64 t (.f64 y (pow.f64 z y)))))
(fma.f64 (.f64 y (+.f64 0 (.f64 y 1/2))) (.f64 (pow.f64 z y) (.f64 t t)) (.f64 (pow.f64 z y) (-.f64 (+.f64 1 (.f64 (pow.f64 t 3) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/6 (.f64 y (fma.f64 -6 (/.f64 (+.f64 (.f64 z 1/6) 0) z) 1)) (.f64 y (.f64 y 0)))))) (*.f64 t y))))
(fma.f64 (.f64 y (.f64 y 1/2)) (.f64 (pow.f64 z y) (.f64 t t)) (.f64 (pow.f64 z y) (-.f64 (+.f64 1 (.f64 (pow.f64 t 3) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/6 (.f64 y (fma.f64 -6 (/.f64 (.f64 z 1/6) z) 1)) 0)))) (*.f64 t y))))
1
(+.f64 (*.f64 y (log.f64 (/.f64 z (exp.f64 t)))) 1)
(fma.f64 y (log.f64 (/.f64 z (exp.f64 t))) 1)
(fma.f64 y (-.f64 (log.f64 z) t) 1)
(+.f64 (.f64 y (log.f64 (/.f64 z (exp.f64 t)))) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))))
(+.f64 (fma.f64 y (log.f64 (/.f64 z (exp.f64 t))) 1) (.f64 (.f64 1/2 (*.f64 y y)) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))
(fma.f64 y (-.f64 (log.f64 z) t) (fma.f64 1/2 (.f64 y (.f64 y (pow.f64 (-.f64 (log.f64 z) t) 2))) 1))
(+.f64 (.f64 y (log.f64 (/.f64 z (exp.f64 t)))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3))) (.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2))))))
(+.f64 (fma.f64 y (log.f64 (/.f64 z (exp.f64 t))) 1) (fma.f64 1/6 (.f64 (pow.f64 y 3) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3)) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2))))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) (fma.f64 (.f64 y (.f64 y 1/2)) (pow.f64 (-.f64 (log.f64 z) t) 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (.f64 (pow.f64 y 3) 1/6))))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (+.f64 (.f64 y (.f64 y 1/2)) (.f64 (-.f64 (log.f64 z) t) (*.f64 (pow.f64 y 3) 1/6)))))
(.f64 x (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 x (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 x (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 x (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x)
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x)
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x)
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x)
(*.f64 x (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z))))) x)
(*.f64 (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z)))) x)
(*.f64 (pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y) x)
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z))))) x)
(*.f64 (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z)))) x)
(*.f64 (pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y) x)
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z))))) x)
(*.f64 (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z)))) x)
(*.f64 (pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y) x)
(.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (neg.f64 (log.f64 (/.f64 -1 z))))) x)
(*.f64 (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) t) (log.f64 (/.f64 -1 z)))) x)
(*.f64 (pow.f64 (/.f64 (/.f64 -1 (exp.f64 t)) (/.f64 -1 z)) y) x)
(*.f64 (pow.f64 z y) x)
(+.f64 (.f64 (pow.f64 z y) x) (.f64 -1 (.f64 (pow.f64 z y) (.f64 y (*.f64 t x)))))
(fma.f64 (pow.f64 z y) x (neg.f64 (.f64 (pow.f64 z y) (.f64 y (*.f64 t x)))))
(-.f64 (.f64 (pow.f64 z y) x) (.f64 (pow.f64 z y) (.f64 t (.f64 x y))))
(.f64 (pow.f64 z y) (-.f64 x (.f64 y (*.f64 t x))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z)) 1))) (.f64 1/2 (pow.f64 y 2))) (.f64 (pow.f64 z y) (.f64 (pow.f64 t 2) x))) (+.f64 (.f64 (pow.f64 z y) x) (.f64 -1 (.f64 (pow.f64 z y) (.f64 y (.f64 t x))))))
(fma.f64 (.f64 1/2 (+.f64 (.f64 y (fma.f64 -2 (/.f64 (.f64 z -1/2) z) -1)) (.f64 y y))) (.f64 (pow.f64 z y) (.f64 (.f64 t t) x)) (fma.f64 (pow.f64 z y) x (neg.f64 (.f64 (pow.f64 z y) (.f64 y (.f64 t x))))))
(-.f64 (fma.f64 (.f64 1/2 (.f64 y (+.f64 (+.f64 -1 (/.f64 (.f64 1 z) z)) y))) (.f64 (pow.f64 z y) (.f64 t (.f64 t x))) (.f64 (pow.f64 z y) x)) (.f64 (pow.f64 z y) (.f64 t (.f64 x y))))
(fma.f64 (.f64 y (+.f64 0 (.f64 y 1/2))) (.f64 (pow.f64 z y) (.f64 t (.f64 t x))) (.f64 (pow.f64 z y) (-.f64 x (.f64 y (.f64 t x)))))
(+.f64 (.f64 (pow.f64 z y) x) (.f64 x (.f64 (pow.f64 z y) (-.f64 (.f64 (.f64 y (.f64 y 1/2)) (.f64 t t)) (.f64 t y)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z)) 1))) (.f64 1/2 (pow.f64 y 2))) (.f64 (pow.f64 z y) (.f64 (pow.f64 t 2) x))) (+.f64 (.f64 (pow.f64 z y) x) (+.f64 (.f64 -1 (.f64 (pow.f64 z y) (.f64 y (.f64 t x)))) (.f64 (pow.f64 z y) (.f64 (pow.f64 t 3) (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z)) 1))) (.f64 1/6 (.f64 y (-.f64 (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (+.f64 (.f64 -1 z) (.f64 1/2 z))) (.f64 1/6 z))) z)) (.f64 -6 (/.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) z))) 2))))) x))))))
(fma.f64 (.f64 1/2 (+.f64 (.f64 y (fma.f64 -2 (/.f64 (.f64 z -1/2) z) -1)) (.f64 y y))) (.f64 (pow.f64 z y) (.f64 (.f64 t t) x)) (fma.f64 (pow.f64 z y) x (fma.f64 -1 (.f64 (pow.f64 z y) (.f64 y (.f64 t x))) (.f64 (.f64 (pow.f64 z y) (pow.f64 t 3)) (.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 (fma.f64 -2 (/.f64 (.f64 z -1/2) z) -1) (.f64 y y)) (.f64 (.f64 1/6 y) (+.f64 (.f64 -6 (+.f64 (/.f64 (fma.f64 -1/2 z (fma.f64 -1 (.f64 z -1/2) (.f64 z 1/6))) z) (/.f64 (.f64 z -1/2) z))) -2)))) x)))))
(fma.f64 (.f64 1/2 (.f64 y (+.f64 (+.f64 -1 (/.f64 (.f64 1 z) z)) y))) (.f64 (pow.f64 z y) (.f64 t (.f64 t x))) (fma.f64 (pow.f64 z y) x (-.f64 (.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 t 3)) x) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 y (.f64 y (+.f64 -1 (/.f64 (.f64 1 z) z)))) (.f64 (fma.f64 -6 (/.f64 (fma.f64 z -1/2 (fma.f64 z 1/6 (.f64 z 1/2))) z) (+.f64 (/.f64 (.f64 3 z) z) -2)) (.f64 y 1/6))))) (.f64 (pow.f64 z y) (.f64 t (*.f64 x y))))))
(+.f64 (.f64 (.f64 (pow.f64 z y) x) (-.f64 (.f64 (pow.f64 t 3) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/6 (.f64 y (fma.f64 -6 (/.f64 (+.f64 (.f64 z 1/6) 0) z) 1)) (.f64 y (.f64 y 0))))) (.f64 t y))) (.f64 (pow.f64 z y) (+.f64 x (.f64 (.f64 y (+.f64 0 (.f64 y 1/2))) (.f64 t (.f64 t x))))))
(+.f64 (.f64 (.f64 (pow.f64 z y) x) (-.f64 (.f64 (pow.f64 t 3) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/6 (.f64 y (fma.f64 -6 (/.f64 (.f64 z 1/6) z) 1)) 0))) (.f64 t y))) (.f64 (pow.f64 z y) (+.f64 x (.f64 (.f64 y (.f64 y 1/2)) (.f64 t (.f64 t x))))))
x
(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
(fma.f64 y (*.f64 (log.f64 (/.f64 z (exp.f64 t))) x) x)
(*.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x))) (+.f64 (.f64 y (*.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x)) (fma.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x) x))
(fma.f64 1/2 (.f64 y (.f64 y (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) x))) (.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) x))
(.f64 x (fma.f64 y (-.f64 (log.f64 z) t) (fma.f64 1/2 (.f64 y (*.f64 y (pow.f64 (-.f64 (log.f64 z) t) 2))) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x))) (+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3) x))) x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x)) (fma.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x) (fma.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3) x)) x)))
(fma.f64 1/2 (.f64 y (.f64 y (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) x))) (fma.f64 y (.f64 (-.f64 (log.f64 z) t) x) (fma.f64 1/6 (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (.f64 (pow.f64 y 3) x)) x)))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) x)) x) (.f64 x (.f64 (-.f64 (log.f64 z) t) (+.f64 y (.f64 (.f64 y (*.f64 y 1/2)) (-.f64 (log.f64 z) t))))))
z
(+.f64 (.f64 -1 (.f64 t z)) z)
(fma.f64 -1 (*.f64 t z) z)
(-.f64 z (*.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) (pow.f64 t 2))) z))
(fma.f64 -1 (.f64 t z) (fma.f64 -1 (.f64 (.f64 z -1/2) (.f64 t t)) z))
(-.f64 (fma.f64 (.f64 z 1/2) (.f64 t t) z) (*.f64 t z))
(-.f64 z (.f64 z (+.f64 t (.f64 (*.f64 t t) -1/2))))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 1/2 z)) (pow.f64 t 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (+.f64 (.f64 -1 z) (.f64 1/2 z))) (*.f64 1/6 z))))) z)))
(fma.f64 -1 (.f64 t z) (fma.f64 -1 (.f64 (.f64 z -1/2) (.f64 t t)) (fma.f64 -1 (.f64 (pow.f64 t 3) (fma.f64 -1/2 z (fma.f64 -1 (.f64 z -1/2) (*.f64 z 1/6)))) z)))
(-.f64 (fma.f64 (.f64 z 1/2) (.f64 t t) (-.f64 z (.f64 (pow.f64 t 3) (fma.f64 z -1/2 (fma.f64 z 1/6 (.f64 z 1/2)))))) (*.f64 t z))
(-.f64 (-.f64 z (.f64 z (+.f64 t (.f64 (.f64 t t) -1/2)))) (.f64 (pow.f64 t 3) (+.f64 (*.f64 z 1/6) 0)))
(-.f64 (-.f64 z (.f64 z (+.f64 t (.f64 (.f64 t t) -1/2)))) (.f64 (pow.f64 t 3) (*.f64 z 1/6)))

localize92.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (neg.f64 b))))
✓	0.8b	(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (neg.f64 b)))
✓	1.5b	(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))
✓	5.0b	(.f64 a (.f64 z x))

Compiler

Compiled 79 to 16 computations (79.7% saved)

series101.0ms (0.4%)

Counts

4 → 192

Calls

57 calls:

Time	Variable		Point	Expression
40.0ms	y	@	-inf	(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))
5.0ms	t	@	0	(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (neg.f64 b))))
2.0ms	t	@	0	(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))
2.0ms	a	@	0	(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))
2.0ms	z	@	-inf	(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))

rewrite156.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`log-prod_binary64`
476×	`fma-def_binary64`
320×	`expm1-udef_binary64`
320×	`log1p-udef_binary64`
271×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	68
1	361	62
2	5023	62

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

Inputs
(.f64 a (.f64 z x))
(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (neg.f64 b)))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (neg.f64 b))))

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

simplify210.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-neg_binary64`
401×	`distribute-rgt-in_binary64`
400×	`distribute-lft-in_binary64`
373×	`associate-r_binary64`
299×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	6336
1	731	5203
2	2685	4660
3	6845	4568

Stop Event

1×	node limit

Counts

294 → 199

Calls

Call 1

Inputs
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b)))))
(+.f64 (.f64 -1 (.f64 a (.f64 z (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b)))))))) (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))))
(+.f64 (.f64 -1 (.f64 a (.f64 z (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b)))))))) (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))))
(+.f64 (.f64 -1 (.f64 a (.f64 z (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b)))))))) (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))))
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(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(.f64 -1 (.f64 a b))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 -1 (.f64 a b))))
(exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (*.f64 a b))))
(+.f64 (.f64 -1 (.f64 y (.f64 t (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (.f64 a b))))))) (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (*.f64 a b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 t 2) (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (.f64 a b))))))) (+.f64 (.f64 -1 (.f64 y (.f64 t (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (.f64 a b))))))) (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (*.f64 a b))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 t 2) (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (.f64 a b))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 t 3) (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (.f64 a b))))))) (+.f64 (.f64 -1 (.f64 y (.f64 t (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (.f64 a b))))))) (exp.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 -1 (*.f64 a b)))))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (+.f64 (.f64 -1 t) (log.f64 z)) y (.f64 -1 (*.f64 a b))))
(exp.f64 (fma.f64 (+.f64 (.f64 -1 t) (log.f64 z)) y (.f64 -1 (*.f64 a b))))
(exp.f64 (fma.f64 (+.f64 (.f64 -1 t) (log.f64 z)) y (.f64 -1 (*.f64 a b))))
(exp.f64 (fma.f64 (+.f64 (.f64 -1 t) (log.f64 z)) y (.f64 -1 (*.f64 a b))))
(exp.f64 (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (exp.f64 (.f64 -1 (.f64 a b))))) (exp.f64 (.f64 -1 (.f64 a b))))
(+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (exp.f64 (.f64 -1 (.f64 a b))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (exp.f64 (.f64 -1 (.f64 a b)))))) (exp.f64 (.f64 -1 (*.f64 a b)))))
(+.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 y (exp.f64 (.f64 -1 (.f64 a b))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (exp.f64 (.f64 -1 (.f64 a b)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (exp.f64 (.f64 -1 (.f64 a b)))))) (exp.f64 (.f64 -1 (.f64 a b))))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))))
(+.f64 (.f64 -1 (.f64 a (.f64 b (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (exp.f64 (.f64 (-.f64 (log.f64 z) t) y))))) (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 -1 (.f64 a b))))

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

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b)))))
✓	0.2b	(.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))
✓	0.3b	(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 1/3)
✓	0.8b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 z) b)))

Compiler

Compiled 109 to 30 computations (72.5% saved)

series166.0ms (0.6%)

Counts

4 → 240

Calls

60 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 1/3)
11.0ms	y	@	0	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 z) b)))
10.0ms	z	@	0	(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 1/3)
9.0ms	z	@	-inf	(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 1/3)
9.0ms	z	@	inf	(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 1/3)

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`prod-diff_binary64`
410×	`fma-def_binary64`
312×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	359	82
2	4531	82

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

Inputs
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 z) b)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 1/3)
(.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (-.f64 (log1p.f64 z) b)) (.f64 y (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log1p.f64 z) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 z) b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (-.f64 (log.f64 z) t)) 1) (.f64 a (-.f64 (log1p.f64 z) b)))))) (#(struct:change #<rule 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simplify419.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-r_binary64`
537×	`fma-def_binary64`
522×	`associate-l_binary64`
439×	`*-commutative_binary64`
391×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	585	13413
1	1984	12723
2	6928	12423

Stop Event

1×	node limit

Counts

334 → 300

Calls

Call 1

Inputs
(*.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a)
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(exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) b)))))
(+.f64 (.f64 3 (/.f64 (.f64 a (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b)))))) z)) (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b))))))
(+.f64 (.f64 3 (/.f64 (.f64 a (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b)))))) z)) (+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b))))) (/.f64 (.f64 (+.f64 (.f64 -3/2 a) (.f64 9/2 (pow.f64 a 2))) (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b)))))) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b))))) (+.f64 (.f64 9/2 (pow.f64 a 2)) (+.f64 (.f64 -1 a) (.f64 -9/2 (pow.f64 a 3))))) (pow.f64 z 3))) (+.f64 (.f64 3 (/.f64 (.f64 a (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b)))))) z)) (+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b))))) (/.f64 (.f64 (+.f64 (.f64 -3/2 a) (.f64 9/2 (pow.f64 a 2))) (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b)))))) (pow.f64 z 2)))))
(exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))
(+.f64 (.f64 -3 (.f64 y (.f64 t (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))) (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a)))))
(+.f64 (.f64 9/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 t 2) (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))) (+.f64 (.f64 -3 (.f64 y (.f64 t (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))) (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))
(+.f64 (.f64 9/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 t 2) (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))) (+.f64 (.f64 -9/2 (.f64 (pow.f64 y 3) (.f64 (pow.f64 t 3) (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))) (+.f64 (.f64 -3 (.f64 y (.f64 t (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))))))) (exp.f64 (.f64 3 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a)))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(+.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) (.f64 3 (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) (.f64 (exp.f64 (.f64 3 (*.f64 y (-.f64 (log.f64 z) t)))) a))))
(+.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) (+.f64 (.f64 3 (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) (.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) a))) (.f64 9/2 (.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 z)) b) 2) (.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) (pow.f64 a 2))))))
(+.f64 (.f64 9/2 (.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 z)) b) 3) (.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) (pow.f64 a 3)))) (+.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) (+.f64 (.f64 3 (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) (.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) a))) (.f64 9/2 (.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 z)) b) 2) (.f64 (exp.f64 (.f64 3 (*.f64 y (-.f64 (log.f64 z) t)))) (pow.f64 a 2)))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (+.f64 1 z))))))
(+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (.f64 -3 (.f64 a (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (+.f64 1 z)))))) b))))
(+.f64 (.f64 9/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (pow.f64 b 2)))) (+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (.f64 -3 (.f64 a (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (+.f64 1 z)))))) b)))))
(+.f64 (.f64 -9/2 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (pow.f64 b 3)))) (+.f64 (.f64 9/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (pow.f64 b 2)))) (+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (.f64 -3 (.f64 a (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (+.f64 1 z)))))) b))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))

Outputs
(*.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a)
(*.f64 (-.f64 (log1p.f64 z) b) a)
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (-.f64 (log.f64 (+.f64 1 z)) b) a))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 -1 (*.f64 a b)))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (neg.f64 a) b))
(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))
(+.f64 (.f64 (-.f64 (log.f64 z) t) y) (+.f64 (.f64 a z) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 a z (*.f64 (neg.f64 a) b)))
(-.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 z a)) (.f64 b a))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (+.f64 (.f64 a z) (.f64 -1 (.f64 a b)))))
(fma.f64 -1/2 (.f64 a (.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 a z (*.f64 (neg.f64 a) b))))
(fma.f64 -1/2 (.f64 a (.f64 z z)) (-.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 z a)) (.f64 b a)))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (+.f64 (.f64 a z) (+.f64 (.f64 1/3 (.f64 a (pow.f64 z 3))) (.f64 -1 (.f64 a b))))))
(fma.f64 -1/2 (.f64 a (.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 a z (fma.f64 1/3 (.f64 a (pow.f64 z 3)) (.f64 (neg.f64 a) b)))))
(fma.f64 -1/2 (.f64 a (.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (-.f64 (fma.f64 z a (.f64 a (.f64 (pow.f64 z 3) 1/3))) (*.f64 b a))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) b)))
(fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (*.f64 a (-.f64 (neg.f64 (neg.f64 (log.f64 z))) b)))
(fma.f64 a (-.f64 (log.f64 z) b) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (/.f64 a z) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) b))))
(+.f64 (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (*.f64 a (-.f64 (neg.f64 (neg.f64 (log.f64 z))) b))) (/.f64 a z))
(+.f64 (fma.f64 a (-.f64 (log.f64 z) b) (*.f64 (-.f64 (log.f64 z) t) y)) (/.f64 a z))
(+.f64 (/.f64 a z) (+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) b)))))
(+.f64 (/.f64 a z) (fma.f64 -1/2 (/.f64 a (.f64 z z)) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (.f64 a (-.f64 (neg.f64 (neg.f64 (log.f64 z))) b)))))
(+.f64 (/.f64 a z) (fma.f64 -1/2 (/.f64 a (.f64 z z)) (fma.f64 a (-.f64 (log.f64 z) b) (.f64 (-.f64 (log.f64 z) t) y))))
(+.f64 (/.f64 a z) (+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) b)) (.f64 1/3 (/.f64 a (pow.f64 z 3)))))))
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(+.f64 (/.f64 a z) (fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 a (-.f64 (log.f64 z) b) (/.f64 1/3 (/.f64 (pow.f64 z 3) a))))))
(+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b)))
(fma.f64 (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))) t) y (*.f64 a (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b))))
(fma.f64 a (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) b) (*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))
(+.f64 (/.f64 a z) (+.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) b))))
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(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (+.f64 (.f64 -1 t) (log.f64 z)) (*.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (.f64 y (-.f64 (log.f64 z) t)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 (-.f64 (log.f64 z) t) y)))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
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(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a))))
(exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(pow.f64 (exp.f64 (.f64 3 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (log.f64 (+.f64 1 z)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (log1p.f64 z)))))
(cbrt.f64 (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (*.f64 (-.f64 (log.f64 z) t) y))))
(exp.f64 (fma.f64 a (log1p.f64 z) (*.f64 (-.f64 (log.f64 z) t) y)))
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(+.f64 (.f64 9/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (pow.f64 b 2)))) (+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (.f64 -3 (.f64 a (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (+.f64 1 z)))))) b)))))
(fma.f64 9/2 (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (log1p.f64 z)))) (.f64 b b))) (+.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (log1p.f64 z)))) (.f64 -3 (.f64 a (.f64 b (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (log1p.f64 z)))))))))
(fma.f64 9/2 (.f64 a (.f64 a (.f64 (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (.f64 (-.f64 (log.f64 z) t) y))) (.f64 b b)))) (fma.f64 (.f64 b (.f64 a (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (.f64 (-.f64 (log.f64 z) t) y))))) -3 (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (*.f64 (-.f64 (log.f64 z) t) y)))))
(+.f64 (.f64 -9/2 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (pow.f64 b 3)))) (+.f64 (.f64 9/2 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (pow.f64 b 2)))) (+.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 a (log.f64 (+.f64 1 z)))))) (.f64 -3 (.f64 a (.f64 (exp.f64 (.f64 3 (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a (log.f64 (+.f64 1 z)))))) b))))))
(fma.f64 -9/2 (.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (log1p.f64 z)))) (pow.f64 b 3))) (fma.f64 9/2 (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (log1p.f64 z)))) (.f64 b b))) (+.f64 (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (log1p.f64 z)))) (.f64 -3 (.f64 a (.f64 b (pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (log1p.f64 z))))))))))
(fma.f64 -9/2 (.f64 (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (.f64 (-.f64 (log.f64 z) t) y))) (.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 9/2 (.f64 a (.f64 a (.f64 (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (.f64 (-.f64 (log.f64 z) t) y))) (.f64 b b)))) (fma.f64 (.f64 b (.f64 a (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (.f64 (-.f64 (log.f64 z) t) y))))) -3 (pow.f64 (exp.f64 3) (fma.f64 a (log1p.f64 z) (.f64 (-.f64 (log.f64 z) t) y))))))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 (-.f64 (log1p.f64 z) b) a))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (.f64 3 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (+.f64 (*.f64 -1 b) (log1p.f64 z))))))
(pow.f64 (exp.f64 3) (fma.f64 (-.f64 (log.f64 z) t) y (*.f64 (-.f64 (log1p.f64 z) b) a)))

eval678.0ms (2.6%)

Compiler: Compiled 32691 to 13642 computations (58.3% saved)

prune244.0ms (0.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	983	15	998
Fresh	4	0	4
Picked	1	0	1
Done	3	1	4
Total	991	16	1007

Error

0.0b

Counts

1007 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.6b	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
	44.0b	x
▶	1.8b	(.f64 x (pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
	40.8b	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
	25.8b	(*.f64 (pow.f64 z y) x)
▶	44.7b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
	33.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a (.f64 z x)) 2)) (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a b)))) (.f64 (fma.f64 a z 1) x))
▶	42.8b	(*.f64 x (pow.f64 (exp.f64 a) b))
	23.2b	(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))
	2.1b	(.f64 x (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))) 1/3))
	50.5b	(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
▶	23.4b	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
	24.1b	(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
	45.5b	(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
✓	23.1b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	27.1b	(/.f64 x (pow.f64 (exp.f64 a) b))

Compiler

Compiled 512 to 370 computations (27.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
✓	0.1b	(pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
	0.1b	(*.f64 (-.f64 (log.f64 z) t) y)
	0.8b	(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))

Compiler

Compiled 68 to 21 computations (69.1% saved)

series70.0ms (0.3%)

Counts

2 → 132

Calls

33 calls:

Time	Variable		Point	Expression
23.0ms	z	@	inf	(pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
14.0ms	z	@	0	(pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
14.0ms	x	@	0	(.f64 x (pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
4.0ms	t	@	inf	(pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
1.0ms	y	@	0	(.f64 x (pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`log-prod_binary64`
571×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	341	37
2	4546	37

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))
(.f64 x (pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))

Outputs

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

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

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-neg_binary64`
508×	`*-commutative_binary64`
462×	`distribute-rgt-neg-out_binary64`
410×	`times-frac_binary64`
351×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	3488
1	501	3395
2	1681	2931
3	4829	2895

Stop Event

1×	node limit

Counts

179 → 109

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.6b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series30.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	a	@	-inf	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
1.0ms	x	@	0	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
1.0ms	x	@	inf	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
1.0ms	x	@	-inf	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
0.0ms	b	@	0	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
815×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	203	10
2	2683	10

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))

Outputs

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

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

448×	`fma-def_binary64`
125×	`fma-neg_binary64`
58×	`distribute-rgt-in_binary64`
46×	`associate-r_binary64`
46×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	398
1	31	338
2	80	338
3	169	338
4	257	338
5	402	338
6	761	338
7	890	338
8	1062	338
9	1220	338

Stop Event

1×

saturated

Counts

62 → 33

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 -1 (.f64 a (*.f64 b x)))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 -1 (.f64 a (*.f64 b x)))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 -1 (.f64 a (*.f64 b x)))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 -1 (.f64 a (*.f64 b x)))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))

Outputs
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 (+.f64 1 (.f64 -1 (*.f64 a b))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 a (.f64 b (neg.f64 x)))
(.f64 (neg.f64 b) (.f64 a x))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 a (.f64 b (neg.f64 x)))
(.f64 (neg.f64 b) (.f64 a x))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
x
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 a (.f64 b (neg.f64 x)))
(.f64 (neg.f64 b) (.f64 a x))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 a (.f64 b (neg.f64 x)))
(.f64 (neg.f64 b) (.f64 a x))
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)
(+.f64 x (.f64 -1 (.f64 a (*.f64 b x))))
(.f64 (+.f64 1 (neg.f64 (.f64 a b))) x)
(.f64 (-.f64 1 (.f64 a b)) x)
(-.f64 x (.f64 a (.f64 b x)))
(*.f64 (fma.f64 a (neg.f64 b) 1) x)

localize38.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
✓	0.0b	(exp.f64 (*.f64 t (neg.f64 y)))

Compiler

Compiled 27 to 10 computations (63% saved)

series10.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
1.0ms	t	@	0	(exp.f64 (*.f64 t (neg.f64 y)))
1.0ms	y	@	0	(exp.f64 (*.f64 t (neg.f64 y)))
1.0ms	t	@	0	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
1.0ms	x	@	inf	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`pow1_binary64`
607×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	159	15
2	1994	15

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(exp.f64 (*.f64 t (neg.f64 y)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))

Outputs

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

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

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

951×	`distribute-rgt-neg-in_binary64`
802×	`distribute-lft-neg-in_binary64`
747×	`unswap-sqr_binary64`
461×	`*-commutative_binary64`
433×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	736
1	122	720
2	392	708
3	1836	630
4	4460	630

Stop Event

1×	node limit

Counts

98 → 56

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(pow.f64 (exp.f64 a) b)

Compiler

Compiled 21 to 9 computations (57.1% saved)

series59.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	a	@	inf	(pow.f64 (exp.f64 a) b)
15.0ms	a	@	-inf	(pow.f64 (exp.f64 a) b)
1.0ms	a	@	0	(pow.f64 (exp.f64 a) b)
1.0ms	b	@	0	(pow.f64 (exp.f64 a) b)
0.0ms	b	@	-inf	(pow.f64 (exp.f64 a) b)

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

466×	`pow1_binary64`
445×	`add-sqr-sqrt_binary64`
438×	`*-un-lft-identity_binary64`
429×	`add-log-exp_binary64`
429×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	99	6
2	1185	6

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(pow.f64 (exp.f64 a) b)

Outputs

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def_binary64`
747×	`unswap-sqr_binary64`
451×	`associate-/l/_binary64`
365×	`associate-/r/_binary64`
310×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	214
1	69	210
2	189	206
3	742	194
4	2080	188
5	4025	188
6	4575	188
7	6869	188
8	7830	188

Stop Event

1×	node limit

Counts

39 → 23

Calls

Call 1

Inputs
1
(+.f64 (*.f64 a b) 1)
(+.f64 (.f64 a b) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 a b) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
1
(+.f64 (*.f64 a b) 1)
(+.f64 (.f64 a b) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 a b) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))
(exp.f64 (*.f64 a b))

Outputs
1
(+.f64 (*.f64 a b) 1)
(fma.f64 a b 1)
(+.f64 (.f64 a b) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (fma.f64 a b 1) (.f64 1/2 (.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a b (fma.f64 1/2 (.f64 (.f64 a b) (*.f64 a b)) 1))
(fma.f64 (.f64 b b) (.f64 a (*.f64 a 1/2)) (fma.f64 a b 1))
(fma.f64 b (fma.f64 1/2 (.f64 b (.f64 a a)) a) 1)
(fma.f64 a (fma.f64 1/2 (.f64 b (.f64 a b)) b) 1)
(fma.f64 a (fma.f64 1/2 (.f64 a (.f64 b b)) b) 1)
(+.f64 (.f64 a b) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 a b 1) (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 a b 1) (fma.f64 1/2 (.f64 (.f64 a b) (.f64 a b)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) 1)))
(fma.f64 b (fma.f64 1/2 (.f64 b (.f64 a a)) a) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)) 1))
(fma.f64 b (fma.f64 b (fma.f64 a (.f64 a 1/2) (.f64 b (*.f64 1/6 (pow.f64 a 3)))) a) 1)
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 1/6 (pow.f64 a 3)) (.f64 a (*.f64 a 1/2))) a) 1)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
1
(+.f64 (*.f64 a b) 1)
(fma.f64 a b 1)
(+.f64 (.f64 a b) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (fma.f64 a b 1) (.f64 1/2 (.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a b (fma.f64 1/2 (.f64 (.f64 a b) (*.f64 a b)) 1))
(fma.f64 (.f64 b b) (.f64 a (*.f64 a 1/2)) (fma.f64 a b 1))
(fma.f64 b (fma.f64 1/2 (.f64 b (.f64 a a)) a) 1)
(fma.f64 a (fma.f64 1/2 (.f64 b (.f64 a b)) b) 1)
(fma.f64 a (fma.f64 1/2 (.f64 a (.f64 b b)) b) 1)
(+.f64 (.f64 a b) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(+.f64 (fma.f64 a b 1) (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 a b 1) (fma.f64 1/2 (.f64 (.f64 a b) (.f64 a b)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) 1)))
(fma.f64 b (fma.f64 1/2 (.f64 b (.f64 a a)) a) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)) 1))
(fma.f64 b (fma.f64 b (fma.f64 a (.f64 a 1/2) (.f64 b (*.f64 1/6 (pow.f64 a 3)))) a) 1)
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 1/6 (pow.f64 a 3)) (.f64 a (*.f64 a 1/2))) a) 1)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(pow.f64 (exp.f64 b) a)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
✓	0.1b	(exp.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))
✓	0.2b	(-.f64 (.f64 y (log.f64 z)) (.f64 a b))
✓	0.3b	(*.f64 y (log.f64 z))

Compiler

Compiled 48 to 12 computations (75% saved)

series37.0ms (0.1%)

Counts

4 → 92

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(-.f64 (.f64 y (log.f64 z)) (.f64 a b))
2.0ms	y	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
1.0ms	x	@	0	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
1.0ms	y	@	0	(exp.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))
1.0ms	y	@	0	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)

rewrite248.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log-prod_binary64`
437×	`pow-prod-down_binary64`
413×	`fma-def_binary64`
334×	`pow2_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	252	45
2	3282	45

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

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

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

simplify163.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-neg_binary64`
723×	`fma-def_binary64`
443×	`unswap-sqr_binary64`
367×	`*-commutative_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	1740
1	324	1695
2	1162	1435
3	3152	1352
4	7501	1350

Stop Event

1×	node limit

Counts

372 → 324

Calls

Call 1

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

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

eval431.0ms (1.7%)

Compiler: Compiled 16675 to 5015 computations (69.9% saved)

prune200.0ms (0.8%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	759	12	771
Fresh	4	6	10
Picked	0	1	1
Done	1	4	5
Total	764	23	787

Error

0.0b

Counts

787 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.6b	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
	45.2b	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
	23.1b	(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
	54.0b	(.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (cbrt.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))))) x)
✓	44.7b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
	24.1b	(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
▶	55.6b	(.f64 (neg.f64 b) (.f64 a x))
	45.5b	(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
	55.2b	(.f64 -1 (.f64 a (*.f64 b x)))
	33.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a (.f64 z x)) 2)) (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a b)))) (.f64 (fma.f64 a z 1) x))
✓	42.8b	(*.f64 x (pow.f64 (exp.f64 a) b))
	23.2b	(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))
▶	40.8b	(.f64 x (exp.f64 (.f64 a b)))
	44.7b	(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
▶	2.1b	(.f64 x (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))) 1/3))
▶	50.5b	(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
	44.5b	(.f64 (-.f64 1 (.f64 y t)) x)
	10.6b	(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
	44.0b	x
▶	41.7b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
✓	23.4b	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
	25.8b	(*.f64 (pow.f64 z y) x)
✓	23.1b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))

Compiler

Compiled 713 to 493 computations (30.9% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 (log.f64 z) t) y)
✓	0.3b	(.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))
✓	0.3b	(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)
	0.8b	(-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a))

Compiler

Compiled 96 to 29 computations (69.8% saved)

series61.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)
5.0ms	z	@	inf	(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)
5.0ms	y	@	inf	(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)
4.0ms	z	@	-inf	(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)
4.0ms	z	@	0	(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`log-prod_binary64`
624×	`fma-def_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
286×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	351	35
2	4523	35

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))) 1/3)
(.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a)) (*.f64 2 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))) (*.f64 (fma.f64 b (neg.f64 a) (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))) (*.f64 3 (fma.f64 b (neg.f64 a) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))) (log.f64 (pow.f64 (exp.f64 3) (fma.f64 b (neg.f64 a) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 3 (-.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 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simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-rgt-in_binary64`
589×	`distribute-lft-in_binary64`
352×	`cancel-sign-sub-inv_binary64`
290×	`associate-r_binary64`
284×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	4681
1	743	4585
2	2585	4118

Stop Event

1×	node limit

Counts

199 → 134

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a b)))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a b)))) 1/3)
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(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(.f64 -3 (.f64 a b))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))

Outputs
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))) t)) (.f64 a b))))
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))) t)) (.f64 a b))))
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))) t)) (.f64 a b))))
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y) (.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))) t)) (.f64 a b))))
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))))
(exp.f64 (fma.f64 y (log.f64 z) (*.f64 b (neg.f64 a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 7)) 1/9) (.f64 y t))) (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 1/3))
(fma.f64 -1 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18)) (.f64 y t)) (cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b)))))
(fma.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18))) (.f64 y t) (cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))))
(-.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7) 1/18)) (.f64 y t)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 2)) 1/3) (.f64 (pow.f64 t 2) (-.f64 (.f64 9/2 (.f64 (pow.f64 y 2) (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))))) (.f64 3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 17)) 1/9) (pow.f64 y 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 7)) 1/9) (.f64 y t))) (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b)))) 1/3)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 2))) (.f64 (.f64 t t) (+.f64 (.f64 9/2 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 y y))) (.f64 -3 (.f64 (.f64 y y) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18))))))) (fma.f64 -1 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18)) (.f64 y t)) (cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 2))) (.f64 (.f64 t t) (fma.f64 9/2 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 y y)) (.f64 (.f64 y (.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18)))) -3)))) (fma.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18))) (.f64 y t) (cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))))))
(fma.f64 1/3 (.f64 (.f64 t t) (.f64 (.f64 (.f64 y y) (-.f64 (.f64 9/2 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a))))) (.f64 3 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 17) 1/18))))) (cbrt.f64 (exp.f64 (neg.f64 (.f64 (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a))) 6)))))) (-.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7) 1/18)) (*.f64 y t))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 2)) 1/3) (.f64 (pow.f64 t 2) (-.f64 (.f64 9/2 (.f64 (pow.f64 y 2) (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))))) (.f64 3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 17)) 1/9) (pow.f64 y 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 2)) 1/3) (.f64 (pow.f64 t 3) (-.f64 (.f64 -9/2 (.f64 (pow.f64 y 3) (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 7)) 1/3) (pow.f64 y 3))) (.f64 -2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 4)) 1/9) (.f64 y (-.f64 (.f64 9/2 (.f64 (pow.f64 y 2) (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))))) (.f64 3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 17)) 1/9) (pow.f64 y 2)))))))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 7)) 1/9) (.f64 y t))) (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) 1/3))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 2))) (.f64 (.f64 t t) (+.f64 (.f64 9/2 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 y y))) (.f64 -3 (.f64 (.f64 y y) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18))))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 2))) (.f64 (pow.f64 t 3) (-.f64 (.f64 (.f64 -9/2 (pow.f64 y 3)) (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (fma.f64 -1 (.f64 (pow.f64 y 3) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7))) (.f64 -2 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 4) 1/18)) (.f64 y (+.f64 (.f64 9/2 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 y y))) (.f64 -3 (.f64 (.f64 y y) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18)))))))))))) (fma.f64 -1 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18)) (.f64 y t)) (cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b)))))))
(+.f64 (fma.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7) 1/18))) (.f64 y t) (cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 2)))) (+.f64 (.f64 (.f64 t t) (fma.f64 9/2 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 y y)) (.f64 (.f64 y (.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18)))) -3))) (.f64 (pow.f64 t 3) (-.f64 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 -9/2 (pow.f64 y 3))) (-.f64 (.f64 -2 (.f64 y (.f64 (fma.f64 9/2 (.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) (.f64 y y)) (.f64 (.f64 y (.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 17) 1/18)))) -3)) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 4) 1/18))))) (.f64 (pow.f64 y 3) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) 7)))))))))
(+.f64 (-.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7) 1/18)) (.f64 y t))) (.f64 1/3 (.f64 (cbrt.f64 (exp.f64 (neg.f64 (.f64 (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a))) 6)))) (.f64 (.f64 t t) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 9/2 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a))))) (.f64 3 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 17) 1/18))))) (.f64 t (-.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -9/2 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 7)))) (.f64 (.f64 -2 (.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 4) 1/18)))) (.f64 (.f64 y y) (-.f64 (.f64 9/2 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a))))) (.f64 3 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (.f64 b (neg.f64 a)))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) (fma.f64 y (log.f64 z) (*.f64 b (neg.f64 a)))) 17) 1/18)))))))))))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 a b)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (neg.f64 a))))
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(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 3 (.f64 y (-.f64 (log.f64 z) t)))
(.f64 (-.f64 (log.f64 z) t) (.f64 3 y))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 3 (.f64 y (-.f64 (log.f64 z) t)))
(.f64 (-.f64 (log.f64 z) t) (.f64 3 y))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 -3 (.f64 a b)) (.f64 3 (.f64 y (-.f64 (log.f64 z) t))))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 3 (.f64 (-.f64 (log.f64 z) t) y))
(.f64 3 (.f64 y (-.f64 (log.f64 z) t)))
(.f64 (-.f64 (log.f64 z) t) (.f64 3 y))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 -3 (.f64 a b))
(.f64 (.f64 a b) -3)
(.f64 a (.f64 b -3))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 -3 (.f64 a b))
(.f64 (.f64 a b) -3)
(.f64 a (.f64 b -3))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 3 (.f64 (-.f64 (log.f64 z) t) y))
(.f64 3 (.f64 y (-.f64 (log.f64 z) t)))
(.f64 (-.f64 (log.f64 z) t) (.f64 3 y))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 -3 (.f64 a b))
(.f64 (.f64 a b) -3)
(.f64 a (.f64 b -3))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(.f64 -3 (.f64 a b))
(.f64 (.f64 a b) -3)
(.f64 a (.f64 b -3))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))
(+.f64 (.f64 3 (.f64 (-.f64 (log.f64 z) t) y)) (.f64 -3 (.f64 a b)))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 (*.f64 a b) -3))
(fma.f64 3 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (*.f64 b -3)))
(fma.f64 (.f64 3 y) (-.f64 (log.f64 z) t) (.f64 a (*.f64 b -3)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(.f64 (neg.f64 b) (.f64 a x))

Compiler

Compiled 20 to 9 computations (55% saved)

series13.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(.f64 (neg.f64 b) (.f64 a x))
1.0ms	a	@	0	(.f64 (neg.f64 b) (.f64 a x))
1.0ms	x	@	0	(.f64 (neg.f64 b) (.f64 a x))
1.0ms	b	@	inf	(.f64 (neg.f64 b) (.f64 a x))
1.0ms	x	@	inf	(.f64 (neg.f64 b) (.f64 a x))

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`pow1_binary64`
564×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	7
2	1864	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (neg.f64 b) (.f64 a x))

Outputs

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

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
22×	`associate-l_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Stop Event

1×

saturated

Counts

49 → 15

Calls

Call 1

Inputs
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))

Outputs
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))
(.f64 -1 (.f64 a (*.f64 b x)))
(neg.f64 (.f64 a (.f64 b x)))
(.f64 a (neg.f64 (.f64 b x)))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.3b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
✓	5.5b	(.f64 x (.f64 a b))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`fma-def_binary64`
520×	`log-prod_binary64`
397×	`pow-prod-down_binary64`
325×	`fma-neg_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	227	15
2	3388	15

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(.f64 x (.f64 a b))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)

Outputs

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

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-def_binary64`
124×	`fma-neg_binary64`
60×	`associate-l_binary64`
53×	`associate-r_binary64`
43×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	522
1	39	522
2	93	522
3	222	522
4	443	522
5	671	522
6	807	522
7	853	522

Stop Event

1×

saturated

Counts

212 → 146

Calls

Call 1

Inputs
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 a (.f64 b x))
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
x
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(.f64 a (.f64 b x))
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(.f64 a (.f64 b x))
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
x
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(.f64 a (.f64 b x))
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(.f64 a (.f64 b x))
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) x)

Outputs
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 (+.f64 (.f64 a b) 1) x)
(*.f64 x (fma.f64 a b 1))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(*.f64 x (fma.f64 a b 1))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(*.f64 x (fma.f64 a b 1))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(*.f64 x (fma.f64 a b 1))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 a b)) 1) x))
(*.f64 x (fma.f64 a b 1))
x
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
x
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(.f64 a (.f64 b x))
(.f64 (.f64 a b) x)
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))
(+.f64 (.f64 a (.f64 b x)) x)
(*.f64 x (fma.f64 a b 1))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 a b)))
✓	0.0b	(exp.f64 (*.f64 a b))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series10.0ms (0%)

Counts

2 → 28

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (exp.f64 (.f64 a b)))
1.0ms	x	@	inf	(.f64 x (exp.f64 (.f64 a b)))
1.0ms	x	@	-inf	(.f64 x (exp.f64 (.f64 a b)))
1.0ms	a	@	0	(.f64 x (exp.f64 (.f64 a b)))
1.0ms	a	@	0	(exp.f64 (*.f64 a b))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	134	15
2	1585	15

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(exp.f64 (*.f64 a b))
(.f64 x (exp.f64 (.f64 a b)))

Outputs

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

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

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

747×	`unswap-sqr_binary64`
538×	`distribute-lft-out_binary64`
447×	`*-commutative_binary64`
417×	`associate-/l/_binary64`
363×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	372
1	114	368
2	344	352
3	1555	346
4	2681	346
5	4831	346
6	5579	346

Stop Event

1×	node limit

Counts

62 → 50

Calls

Call 1

Inputs
1
(+.f64 (*.f64 a b) 1)
(+.f64 (.f64 a b) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 a b) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
1
(+.f64 (*.f64 a b) 1)
(+.f64 (.f64 a b) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(+.f64 (.f64 a b) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
(.f64 (exp.f64 (.f64 a b)) x)
x
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x))
(+.f64 (.f64 a (.f64 b x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) x)))
x
(+.f64 (.f64 a (.f64 b x)) x)
(+.f64 (.f64 a (.f64 b x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x))
(+.f64 (.f64 a (.f64 b x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b 3) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) x))) x)))

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
✓	0.1b	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))
✓	0.1b	(*.f64 (log.f64 (/.f64 z (exp.f64 t))) x)
✓	1.0b	(log.f64 (/.f64 z (exp.f64 t)))

Compiler

Compiled 48 to 12 computations (75% saved)

series57.0ms (0.2%)

Counts

4 → 79

Calls

39 calls:

Time	Variable		Point	Expression
21.0ms	y	@	0	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))
2.0ms	z	@	-inf	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))
1.0ms	t	@	0	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))
1.0ms	t	@	0	(*.f64 (log.f64 (/.f64 z (exp.f64 t))) x)
1.0ms	t	@	inf	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))

rewrite148.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
418×	`pow-prod-down_binary64`
342×	`fma-def_binary64`
313×	`pow2_binary64`
222×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	230	40
2	3161	40

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

863×	`times-frac_binary64`
784×	`fma-def_binary64`
437×	`associate-l_binary64`
372×	`distribute-rgt-out_binary64`
369×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1349
1	339	937
2	1103	937
3	5463	937

Stop Event

1×	node limit

Counts

245 → 206

Calls

Call 1

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

eval506.0ms (1.9%)

Compiler: Compiled 18177 to 7581 computations (58.3% saved)

prune325.0ms (1.2%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	773	4	777
Fresh	1	12	13
Picked	1	0	1
Done	2	7	9
Total	777	23	800

Error

0.0b

Counts

800 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.6b	(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
	45.2b	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
	25.8b	(*.f64 (pow.f64 z y) x)
	45.0b	(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
	23.1b	(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
	55.2b	(.f64 a (neg.f64 (.f64 b x)))
	54.0b	(.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (cbrt.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))))) x)
✓	44.7b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
	24.1b	(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
✓	55.6b	(.f64 (neg.f64 b) (.f64 a x))
	33.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a (.f64 z x)) 2)) (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a b)))) (.f64 (fma.f64 a z 1) x))
✓	42.8b	(*.f64 x (pow.f64 (exp.f64 a) b))
	23.2b	(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))
	10.8b	(.f64 x (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (log.f64 z) y) (.f64 b a)))) 1/3))
	44.3b	(+.f64 (.f64 (log.f64 z) (.f64 x y)) x)
✓	23.1b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
✓	40.8b	(.f64 x (exp.f64 (.f64 a b)))
	44.7b	(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
	44.5b	(.f64 (-.f64 1 (.f64 y t)) x)
	10.6b	(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
	44.0b	x
✓	23.4b	(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
	45.5b	(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))

Compiler

Compiled 387 to 271 computations (30% saved)

regimes214.0ms (0.8%)

Counts

42 → 1

Calls

Call 1

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

Outputs
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))

Calls

11 calls:

29.0ms	x
24.0ms	b
24.0ms	t
23.0ms	z
22.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
0.1b	1	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.1b	1	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.1b	1	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`
0.1b	1	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`

Compiler

Compiled 645 to 321 computations (50.2% saved)

regimes209.0ms (0.8%)

Counts

36 → 1

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(+.f64 (.f64 (log.f64 z) (.f64 x y)) x)
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(/.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))
(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
(.f64 x (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (log.f64 z) y) (.f64 b a)))) 1/3))
(.f64 x (pow.f64 (exp.f64 1) (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
(.f64 x (pow.f64 (exp.f64 (.f64 3 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 b a)))) 1/3))
(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(.f64 (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) y (.f64 a (neg.f64 b)))) (-.f64 x (.f64 a (.f64 z x))))

Outputs
(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))

Calls

11 calls:

33.0ms	a
24.0ms	x
22.0ms	z
21.0ms	y
20.0ms	t

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`z`
1.8b	1	`t`
1.8b	1	`a`
1.8b	1	`b`
1.8b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
1.8b	1	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
1.8b	1	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
1.8b	1	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`
1.8b	1	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`

Compiler

Compiled 501 to 269 computations (46.3% saved)

regimes317.0ms (1.2%)

Counts

29 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(+.f64 (.f64 (log.f64 z) (.f64 x y)) x)
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(/.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))
(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)

Outputs
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (*.f64 a b))) x)
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))

Calls

6 calls:

65.0ms	z
63.0ms	a
50.0ms	b
45.0ms	x
44.0ms	t

Results

Error	Segments	Branch
9.6b	2	`x`
4.4b	3	`y`
7.8b	5	`z`
4.0b	3	`t`
7.4b	4	`a`
8.4b	3	`b`

Compiler

Compiled 281 to 151 computations (46.3% saved)

bsearch226.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
145.0ms	7.06940623993206e+166	5.107167121647572e+169
80.0ms	-3.6172962870766733e+33	-821075881835418.6

Compiler

Compiled 609 to 457 computations (25% saved)

regimes549.0ms (2.1%)

Counts

27 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(+.f64 (.f64 (log.f64 z) (.f64 x y)) x)
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(/.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))
(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))

Outputs
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
(*.f64 (pow.f64 z y) x)

Calls

6 calls:

164.0ms	x
125.0ms	z
88.0ms	b
86.0ms	a
39.0ms	y

Results

Error	Segments	Branch
10.8b	13	`x`
4.4b	3	`y`
11.9b	10	`z`
11.8b	3	`t`
7.7b	6	`a`
11.7b	7	`b`

Compiler

Compiled 259 to 143 computations (44.8% saved)

bsearch215.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
177.0ms	0.00048050790899767674	0.0026831007673643005
37.0ms	-9.556046752908743e+57	-4.2332427599032524e+54

Compiler

Compiled 455 to 349 computations (23.3% saved)

regimes1.1s (4.2%)

Counts

26 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(+.f64 (.f64 (log.f64 z) (.f64 x y)) x)
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(/.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
(.f64 x (pow.f64 (exp.f64 (.f64 a (*.f64 b -3))) 1/3))

Outputs
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b))))
(*.f64 (pow.f64 z y) x)

Calls

6 calls:

317.0ms	x
275.0ms	a
204.0ms	z
125.0ms	b
125.0ms	t

Results

Error	Segments	Branch
13.5b	8	`x`
6.1b	3	`y`
13.8b	8	`z`
12.8b	3	`t`
8.8b	6	`a`
12.2b	7	`b`

Compiler

Compiled 249 to 137 computations (45% saved)

bsearch372.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
188.0ms	0.00048050790899767674	0.0026831007673643005
182.0ms	-3.360150401933387e-31	-2.3901682993270974e-40

Compiler

Compiled 471 to 373 computations (20.8% saved)

regimes529.0ms (2%)

Counts

24 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(+.f64 (.f64 (log.f64 z) (.f64 x y)) x)
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
(.f64 (exp.f64 (.f64 y (neg.f64 t))) (-.f64 x (.f64 a (.f64 z x))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(/.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)

Outputs
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(*.f64 (pow.f64 z y) x)

Calls

6 calls:

160.0ms	z
96.0ms	b
92.0ms	x
81.0ms	a
49.0ms	y

Results

Error	Segments	Branch
13.5b	8	`x`
6.1b	3	`y`
13.8b	8	`z`
12.8b	3	`t`
8.8b	6	`a`
12.2b	7	`b`

Compiler

Compiled 230 to 125 computations (45.7% saved)

bsearch250.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	0.00048050790899767674	0.0026831007673643005
125.0ms	-3.360150401933387e-31	-2.3901682993270974e-40

Compiler

Compiled 441 to 343 computations (22.2% saved)

regimes252.0ms (1%)

Counts

17 → 2

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))

Outputs
(.f64 x (exp.f64 (.f64 t (neg.f64 y))))
(*.f64 (pow.f64 z y) x)

Calls

6 calls:

63.0ms	z
59.0ms	t
43.0ms	b
36.0ms	x
29.0ms	a

Results

Error	Segments	Branch
20.9b	4	`x`
15.1b	2	`y`
21.4b	2	`z`
16.1b	3	`t`
21.8b	3	`a`
20.1b	4	`b`

Compiler

Compiled 174 to 97 computations (44.3% saved)

bsearch499.0ms (1.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
498.0ms	6.291147967331357e-11	0.00048050790899767674

Compiler

Compiled 267 to 205 computations (23.2% saved)

regimes87.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
(*.f64 (pow.f64 z y) x)
(*.f64 (pow.f64 z y) x)
(.f64 x (exp.f64 (.f64 a b)))

Outputs
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(*.f64 (pow.f64 z y) x)

Calls

6 calls:

24.0ms	y
16.0ms	t
13.0ms	z
10.0ms	a
9.0ms	b

Results

Error	Segments	Branch
25.8b	1	`x`
22.2b	2	`y`
25.8b	1	`z`
23.7b	2	`t`
25.8b	1	`a`
25.8b	1	`b`

Compiler

Compiled 160 to 93 computations (41.9% saved)

bsearch102.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
102.0ms	-25769297732.504154	-0.16372127383513307

Compiler

Compiled 313 to 245 computations (21.7% saved)

regimes201.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))

Outputs
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)
x
(-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)

Calls

6 calls:

43.0ms	t
41.0ms	b
35.0ms	z
34.0ms	a
22.0ms	x

Results

Error	Segments	Branch
40.6b	3	`x`
31.1b	3	`y`
38.6b	5	`z`
38.4b	6	`t`
37.3b	5	`a`
36.1b	6	`b`

Compiler

Compiled 144 to 89 computations (38.2% saved)

bsearch286.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
150.0ms	0.0026831007673643005	392.68727034689647
136.0ms	-3.360150401933387e-31	-2.3901682993270974e-40

Compiler

Compiled 465 to 385 computations (17.2% saved)

regimes49.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))
(.f64 (neg.f64 b) (.f64 a x))
(.f64 -1 (.f64 a (*.f64 b x)))
(.f64 (-.f64 1 (.f64 y t)) x)

Outputs
(.f64 (neg.f64 b) (.f64 a x))
x
(.f64 (neg.f64 b) (.f64 a x))

Calls

6 calls:

13.0ms	y
13.0ms	b
6.0ms	z
5.0ms	a
5.0ms	t

Results

Error	Segments	Branch
44.0b	1	`x`
38.9b	3	`y`
44.0b	1	`z`
44.0b	1	`t`
44.0b	1	`a`
42.3b	3	`b`

Compiler

Compiled 76 to 55 computations (27.6% saved)

bsearch287.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
256.0ms	0.0026831007673643005	392.68727034689647
31.0ms	-4429113763857.871	-25769297732.504154

Compiler

Compiled 369 to 297 computations (19.5% saved)

regimes85.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(.f64 a (neg.f64 (.f64 b x)))

Outputs
(.f64 a (neg.f64 (.f64 b x)))
x
(.f64 a (neg.f64 (.f64 b x)))

Calls

6 calls:

25.0ms	b
24.0ms	y
10.0ms	a
8.0ms	t
8.0ms	x

Results

Error	Segments	Branch
44.0b	1	`x`
39.2b	3	`y`
44.0b	1	`z`
44.0b	1	`t`
44.0b	1	`a`
42.3b	3	`b`

Compiler

Compiled 56 to 45 computations (19.6% saved)

bsearch300.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
152.0ms	0.0026831007673643005	392.68727034689647
148.0ms	-3.360150401933387e-31	-2.3901682993270974e-40

Compiler

Compiled 411 to 331 computations (19.5% saved)

regimes23.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

6 calls:

5.0ms	y
3.0ms	x
3.0ms	z
3.0ms	a
3.0ms	t

Results

Error	Segments	Branch
44.0b	1	`x`
44.0b	1	`y`
44.0b	1	`z`
44.0b	1	`t`
44.0b	1	`a`
44.0b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
18×	`+-commutative_binary64`
17×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	378
1	146	378
2	185	378
3	210	378
4	218	378
5	219	378

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
(if (<=.f64 t -3500000000000000097743684606361600) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 t 50000000000000001720952715465622640458856885148708873735346823837532548981315723776946132907372413659248589542573711457538915860604509709821678979750150160787337627303936) (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) x) (.f64 x (exp.f64 (*.f64 t (neg.f64 y))))))
(if (<=.f64 y -9499999999999999675283001711917541226904655513165926236160) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y 5029131409596857/77371252455336267181195264) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (*.f64 (pow.f64 z y) x))
(if (<=.f64 y -5404319552844595/9007199254740992) (-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1) (*.f64 (pow.f64 z y) x))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1) (if (<=.f64 y 390) x (-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)))
(if (<=.f64 y -4400000000000) (.f64 (neg.f64 b) (.f64 a x)) (if (<=.f64 y 390) x (.f64 (neg.f64 b) (.f64 a x))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 a (neg.f64 (.f64 b x))) (if (<=.f64 y 390) x (.f64 a (neg.f64 (.f64 b x)))))
x

Outputs
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
(.f64 x (exp.f64 (-.f64 (.f64 (-.f64 (log.f64 z) t) y) (*.f64 b a))))
(.f64 x (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a b))))
(if (<=.f64 t -3500000000000000097743684606361600) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 t 50000000000000001720952715465622640458856885148708873735346823837532548981315723776946132907372413659248589542573711457538915860604509709821678979750150160787337627303936) (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b))) x) (.f64 x (exp.f64 (*.f64 t (neg.f64 y))))))
(if (<=.f64 t -3500000000000000097743684606361600) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 t 50000000000000001720952715465622640458856885148708873735346823837532548981315723776946132907372413659248589542573711457538915860604509709821678979750150160787337627303936) (.f64 x (exp.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (.f64 x (exp.f64 (*.f64 t (neg.f64 y))))))
(if (<=.f64 t -3500000000000000097743684606361600) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 t 50000000000000001720952715465622640458856885148708873735346823837532548981315723776946132907372413659248589542573711457538915860604509709821678979750150160787337627303936) (.f64 x (exp.f64 (-.f64 (.f64 y (log.f64 z)) (.f64 a b)))) (.f64 x (exp.f64 (*.f64 y (neg.f64 t))))))
(if (<=.f64 y -9499999999999999675283001711917541226904655513165926236160) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -9499999999999999675283001711917541226904655513165926236160) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -9499999999999999675283001711917541226904655513165926236160) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (pow.f64 (exp.f64 1) (.f64 a (neg.f64 b)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (pow.f64 (E.f64) (.f64 a (neg.f64 b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (pow.f64 (E.f64) (.f64 a (neg.f64 b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 a (neg.f64 b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 564931537257355/1152921504606846976) (.f64 x (exp.f64 (.f64 a (neg.f64 b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y 5029131409596857/77371252455336267181195264) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (*.f64 (pow.f64 z y) x))
(if (<=.f64 y 5029131409596857/77371252455336267181195264) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (*.f64 x (pow.f64 z y)))
(if (<=.f64 y 5029131409596857/77371252455336267181195264) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (*.f64 x (pow.f64 z y)))
(if (<=.f64 y -5404319552844595/9007199254740992) (-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1) (*.f64 (pow.f64 z y) x))
(if (<=.f64 y -5404319552844595/9007199254740992) (+.f64 (+.f64 1 (.f64 b (.f64 x a))) -1) (*.f64 x (pow.f64 z y)))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1) (if (<=.f64 y 390) x (-.f64 (+.f64 1 (.f64 b (.f64 a x))) 1)))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (+.f64 (+.f64 1 (.f64 b (.f64 x a))) -1) (if (<=.f64 y 390) x (+.f64 (+.f64 1 (.f64 b (.f64 x a))) -1)))
(if (<=.f64 y -4400000000000) (.f64 (neg.f64 b) (.f64 a x)) (if (<=.f64 y 390) x (.f64 (neg.f64 b) (.f64 a x))))
(if (<=.f64 y -4400000000000) (.f64 (neg.f64 b) (.f64 x a)) (if (<=.f64 y 390) x (.f64 (neg.f64 b) (.f64 x a))))
(if (<=.f64 y -4400000000000) (.f64 b (neg.f64 (.f64 x a))) (if (<=.f64 y 390) x (.f64 b (neg.f64 (.f64 x a)))))
(if (<=.f64 y -4400000000000) (.f64 b (.f64 x (neg.f64 a))) (if (<=.f64 y 390) x (.f64 b (.f64 x (neg.f64 a)))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 a (neg.f64 (.f64 b x))) (if (<=.f64 y 390) x (.f64 a (neg.f64 (.f64 b x)))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 a (.f64 b (neg.f64 x))) (if (<=.f64 y 390) x (.f64 a (.f64 b (neg.f64 x)))))
(if (<=.f64 y -1883966954371867/5708990770823839524233143877797980545530986496) (.f64 a (.f64 x (neg.f64 b))) (if (<=.f64 y 390) x (.f64 a (.f64 x (neg.f64 b)))))
x

Compiler

Compiled 323 to 209 computations (35.3% saved)

soundness113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

556×	`associate-/l*_binary64`
456×	`unswap-sqr_binary64`
440×	`fma-neg_binary64`
361×	`fma-def_binary64`
333×	`exp-sum_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	34	25
2	73	25
3	186	25
4	478	25
5	1553	25
6	3824	25
7	7467	25

Stop Event

1×	node limit

Compiler

Compiled 117 to 82 computations (29.9% saved)

end199.0ms (0.8%)

Compiler: Compiled 257 to 106 computations (58.8% saved)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324