Details

analyze985.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	97.4%	2.6%	9
0%	47.5%	52.5%	10
0%	47.5%	52.5%	11
0%	47.5%	52.5%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample10.5s (35.5%)

Results

7.3s	18486×	body	256	invalid
2.7s	7819×	body	256	valid
201.0ms	323×	body	512	valid
117.0ms	114×	body	1024	valid
79.0ms	139×	body	512	invalid
52.0ms	52×	body	1024	invalid

preprocess65.0ms (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)

simplify59.0ms (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

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
▶	2.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
✓	0.2b	(*.f64 y (-.f64 (log.f64 z) t))
✓	0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
✓	5.0b	(log.f64 (-.f64 1 z))

Compiler

Compiled 95 to 45 computations (52.6% saved)

series267.0ms (0.9%)

Counts

4 → 176

Calls

45 calls:

Time	Variable		Point	Expression
58.0ms	y	@	0	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
55.0ms	z	@	0	(*.f64 y (-.f64 (log.f64 z) t))
46.0ms	x	@	0	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
36.0ms	y	@	0	(*.f64 y (-.f64 (log.f64 z) t))
15.0ms	z	@	inf	(*.f64 y (-.f64 (log.f64 z) t))

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`fma-def_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
329×	`fma-neg_binary64`
295×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	382	59
2	5303	59

Stop Event

1×	node limit

Counts

4 → 129

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

Outputs
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simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

426×	`distribute-rgt-in_binary64`
419×	`distribute-lft-in_binary64`
357×	`times-frac_binary64`
325×	`fma-def_binary64`
317×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	5355
1	918	4977
2	3283	4592

Stop Event

1×	node limit

Counts

305 → 265

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 z) t)
✓	0.0b	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
	0.2b	(*.f64 y (-.f64 (log.f64 z) t))
✓	0.3b	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))

Compiler

Compiled 77 to 15 computations (80.5% saved)

series56.0ms (0.2%)

Counts

3 → 152

Calls

39 calls:

Time	Variable		Point	Expression
15.0ms	t	@	0	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
12.0ms	x	@	0	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
3.0ms	x	@	inf	(.f64 x (exp.f64 (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	b	@	0	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))

rewrite102.0ms (0.3%)

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	51
1	332	47
2	4451	47

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs
(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)))))
(-.f64 (log.f64 z) t)

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

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((#(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 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) t) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.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 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 t))) (cbrt.f64 (/.f64 z (exp.f64 t))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 z (exp.f64 t)))) (log.f64 (sqrt.f64 (/.f64 z (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 z) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 z) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 z) t) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 t) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (*.f64 (neg.f64 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simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-+l+_binary64`
382×	`distribute-rgt-in_binary64`
379×	`distribute-lft-in_binary64`
357×	`times-frac_binary64`
303×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	5019
1	796	4604
2	2935	4225

Stop Event

1×	node limit

Counts

295 → 254

Calls

Call 1

Inputs
(*.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 (-.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))
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(.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)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t)
(log.f64 z)
(+.f64 (*.f64 -1 t) (log.f64 z))
(+.f64 (*.f64 -1 t) (log.f64 z))
(+.f64 (*.f64 -1 t) (log.f64 z))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (log.f64 z))
(+.f64 (*.f64 -1 t) (log.f64 z))
(+.f64 (*.f64 -1 t) (log.f64 z))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (log.f64 z))
(+.f64 (*.f64 -1 t) (log.f64 z))
(+.f64 (*.f64 -1 t) (log.f64 z))

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

eval547.0ms (1.8%)

Compiler: Compiled 15673 to 6737 computations (57% saved)

prune565.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	540	7	547
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	542	7	549

Error

Counts

549 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.1b	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
▶	24.3b	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))
▶	18.6b	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
▶	22.4b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
	21.5b	(+.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))))
	32.8b	(.f64 x (exp.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (log.f64 z) t)))) 1) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
▶	21.3b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))

Compiler

Compiled 288 to 208 computations (27.8% saved)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series210.0ms (0.7%)

Counts

2 → 52

Calls

18 calls:

Time	Variable		Point	Expression
77.0ms	t	@	inf	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
34.0ms	x	@	0	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
30.0ms	t	@	-inf	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
28.0ms	z	@	0	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
19.0ms	z	@	-inf	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))

rewrite228.0ms (0.8%)

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	18
1	183	18
2	2332	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
432×	`unsub-neg_binary64`
422×	`times-frac_binary64`
354×	`distribute-rgt-in_binary64`
350×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	957
1	377	901
2	1371	820
3	5905	790

Stop Event

1×	node limit

Counts

96 → 72

Calls

Call 1

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

localize11.0ms (0%)

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)

series9.0ms (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	(exp.f64 (*.f64 b (neg.f64 a)))
1.0ms	b	@	0	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
1.0ms	a	@	0	(exp.f64 (*.f64 b (neg.f64 a)))
0.0ms	b	@	inf	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))

rewrite50.0ms (0.2%)

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)))))))

simplify62.0ms (0.2%)

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))

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
1.0ms	x	@	0	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
1.0ms	y	@	0	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
1.0ms	x	@	-inf	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
1.0ms	y	@	inf	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))

rewrite44.0ms (0.1%)

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	11
1	159	9
2	1993	9

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-neg_binary64`
768×	`cancel-sign-sub-inv_binary64`
707×	`distribute-rgt-neg-in_binary64`
624×	`distribute-lft-neg-in_binary64`
564×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	472
1	92	466
2	294	462
3	1382	392
4	3277	392

Stop Event

1×	node limit

Counts

49 → 22

Calls

Call 1

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

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
✓	0.0b	(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
✓	0.0b	(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))

Compiler

Compiled 45 to 12 computations (73.3% saved)

series29.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
3.0ms	z	@	0	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
1.0ms	z	@	inf	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
1.0ms	z	@	-inf	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
1.0ms	z	@	inf	(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
463×	`prod-diff_binary64`
358×	`pow-prod-down_binary64`
276×	`pow2_binary64`
240×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	226	34
2	2961	34

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))

Outputs

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

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+l+_binary64`
365×	`times-frac_binary64`
330×	`distribute-lft-in_binary64`
330×	`distribute-rgt-in_binary64`
316×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3378
1	735	3117
2	2612	2755

Stop Event

1×	node limit

Counts

257 → 250

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 a x)) x)
	0.0b	(/.f64 z (exp.f64 t))
✓	3.7b	(.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 a x))
✓	4.5b	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))

Compiler

Compiled 75 to 16 computations (78.7% saved)

series57.0ms (0.2%)

Counts

3 → 168

Calls

42 calls:

Time	Variable		Point	Expression
7.0ms	t	@	inf	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))
7.0ms	y	@	inf	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))
6.0ms	a	@	0	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))
3.0ms	b	@	0	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))
2.0ms	a	@	-inf	(.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 a x))

rewrite153.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`fma-def_binary64`
328×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
285×	`log-pow_binary64`
285×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	372	49
2	5358	49

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

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

(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x))

(+.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x)

Outputs

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

simplify196.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

734×	`distribute-rgt-in_binary64`
730×	`distribute-lft-in_binary64`
423×	`times-frac_binary64`
319×	`fma-def_binary64`
293×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	5207
1	859	4717
2	3443	4094

Stop Event

1×	node limit

Counts

316 → 267

Calls

Call 1

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

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

eval328.0ms (1.1%)

Compiler: Compiled 16415 to 6389 computations (61.1% saved)

prune149.0ms (0.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	694	12	706
Fresh	2	0	2
Picked	1	0	1
Done	2	2	4
Total	699	14	713

Error

Counts

713 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.9b	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
	50.4b	(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
	45.4b	(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
▶	44.7b	(-.f64 x (.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t)))))
	45.2b	(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
▶	45.9b	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
	19.1b	(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
	44.1b	x
✓	22.4b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
▶	40.9b	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
▶	44.4b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
	26.9b	(*.f64 (pow.f64 z y) x)
✓	21.3b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	29.9b	(.f64 (pow.f64 z y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))

Compiler

Compiled 397 to 286 computations (28% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 z (exp.f64 t))
	0.0b	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
✓	0.2b	(cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))
✓	0.2b	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)

Compiler

Compiled 51 to 14 computations (72.5% saved)

series43.0ms (0.1%)

Counts

2 → 72

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	t	@	0	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
7.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
3.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
3.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
420×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
290×	`pow2_binary64`
273×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	251	26
2	2835	26

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
(cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))

Outputs

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(log.f64 z) t) (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 3/2) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (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 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 1/6) (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))) 2)) (cbrt.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))))) (sqrt.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (fma.f64 y (-.f64 (log.f64 z) t) (log.f64 x))) 1) 1))))))

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-+l+_binary64`
482×	`associate-+r+_binary64`
403×	`associate-r_binary64`
323×	`associate-l_binary64`
282×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	5496
1	1015	4461
2	3761	3447

Stop Event

1×	node limit

Counts

151 → 122

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) x))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) x))
(.f64 (.f64 (pow.f64 z y) x) (pow.f64 1 1/3))
(+.f64 (.f64 (.f64 (pow.f64 z y) x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 13) (.f64 1 (pow.f64 x 13))) 1/9) y)) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 13) (*.f64 1 (pow.f64 x 13))) 1/9) y))) t))
(+.f64 (.f64 (.f64 (pow.f64 z y) x) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 13) (.f64 1 (pow.f64 x 13))) 1/9) y)) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 13) (.f64 1 (pow.f64 x 13))) 1/9) y))) t) (.f64 (pow.f64 t 2) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 z y) (.f64 1 x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 14) (.f64 1 (pow.f64 x 14))) 1/9) (pow.f64 y 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z y) x)) 1/3) (-.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) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 (pow.f64 z y) (.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))) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))) (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2))))))))
(+.f64 (.f64 (.f64 (pow.f64 z y) x) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 13) (.f64 1 (pow.f64 x 13))) 1/9) y)) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 13) (.f64 1 (pow.f64 x 13))) 1/9) y))) t) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 z y) (.f64 1 x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 14) (.f64 1 (pow.f64 x 14))) 1/9) (pow.f64 y 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z y) x)) 1/3) (-.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) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 (pow.f64 z y) (.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))) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))) (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 z y) (.f64 1 x)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 z y) (.f64 1 x)) 1/9) (.f64 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) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z y) x)) 1/3) (-.f64 (.f64 (pow.f64 z y) (.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)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 7) (.f64 1 (pow.f64 x 7))) 1/3) (pow.f64 y 3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 4) (.f64 1 (pow.f64 x 4))) 1/9) (.f64 (-.f64 (.f64 (pow.f64 z y) (.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))) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))) y))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 (pow.f64 z y) (.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)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 7) (.f64 1 (pow.f64 x 7))) 1/3) (pow.f64 y 3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 4) (.f64 1 (pow.f64 x 4))) 1/9) (.f64 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) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2))))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 7) (.f64 1 (pow.f64 x 7))) 1/9) (.f64 y (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 14) (.f64 1 (pow.f64 x 14))) 1/9) (pow.f64 y 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z y) x)) 1/3) (-.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) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))))))) (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 4) (.f64 1 (pow.f64 x 4))) 1/9) (.f64 (-.f64 (.f64 (pow.f64 z y) (.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))) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (*.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))) y)))))) (pow.f64 t 3)))))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 13)) 1/9) (log.f64 (/.f64 z (exp.f64 t))))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 13)) 1/9) (log.f64 (/.f64 z (exp.f64 t)))))) y))
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(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x) 1/3)
(pow.f64 (*.f64 (pow.f64 z y) x) 1/3)
(+.f64 (pow.f64 (.f64 (pow.f64 z y) x) 1/3) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 7) (.f64 1 (pow.f64 x 7))) 1/9) (.f64 y t))))
(+.f64 (pow.f64 (.f64 (pow.f64 z y) x) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 7) (.f64 1 (pow.f64 x 7))) 1/9) (.f64 y t))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (pow.f64 z y) 2) (pow.f64 x 2))) 1/3) (.f64 (pow.f64 t 2) (-.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) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 z y) 17) (.f64 1 (pow.f64 x 17))) 1/9) (pow.f64 y 2)))))))))
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(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 x 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 y (log.f64 (/.f64 z (exp.f64 t)))))) (pow.f64 x 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 y (log.f64 (/.f64 z (exp.f64 t)))))) (+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 17)) 1/9) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))
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(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)

Outputs
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)) y)) 2) (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (log.f64 z)))))) 1/3) x)
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(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
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(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
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(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z)))))) x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
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(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 1 z)))))) x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) 2))) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) 3)) x)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 (exp.f64 t))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) x))
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(fma.f64 1/3 (.f64 y (.f64 (-.f64 (log.f64 z) t) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))) (fma.f64 1/3 (.f64 (.f64 y y) (.f64 (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (-.f64 (.f64 1/2 x) (.f64 1/3 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18))))) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 y (log.f64 (/.f64 z (exp.f64 t)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (-.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3) x)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) (.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 17)) 1/9) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))) (log.f64 (/.f64 z (exp.f64 t)))))) (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3)))))))) (+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2) x)) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 17)) 1/9) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 y (log.f64 (/.f64 z (exp.f64 t))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 3) (-.f64 (.f64 1/6 (.f64 x (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3))) (fma.f64 2/3 (.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)) x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))) (.f64 (log.f64 (/.f64 z (exp.f64 t))) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))) (.f64 (.f64 1/27 (cbrt.f64 (pow.f64 x 7))) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 3)))))) (+.f64 (cbrt.f64 x) (.f64 1/3 (.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)) x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (pow.f64 (log.f64 (/.f64 z (exp.f64 t))) 2)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (.f64 x x)))))))))
(fma.f64 1/3 (.f64 y (.f64 (-.f64 (log.f64 z) t) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))) (fma.f64 1/3 (.f64 (pow.f64 y 3) (.f64 (-.f64 (.f64 x (.f64 1/6 (pow.f64 (-.f64 (log.f64 z) t) 3))) (fma.f64 1/27 (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (cbrt.f64 (pow.f64 x 7))) (.f64 (.f64 (fma.f64 1/2 (.f64 x (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (-.f64 (log.f64 z) t) 2))))) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) (.f64 (-.f64 (log.f64 z) t) 2/3)))) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 (.f64 (.f64 1/3 (.f64 y y)) (fma.f64 1/2 (.f64 x (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (-.f64 (log.f64 z) t) 2)))))) (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 x))))
(+.f64 (fma.f64 1/3 (.f64 y (.f64 (-.f64 (log.f64 z) t) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))) (cbrt.f64 x)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x)))) (+.f64 (.f64 y (.f64 y (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (-.f64 (.f64 1/2 x) (.f64 1/3 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18))))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (-.f64 (.f64 1/6 x) (.f64 1/27 (cbrt.f64 (pow.f64 x 7))))) (.f64 (.f64 (-.f64 (log.f64 z) t) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) (-.f64 (.f64 1/2 x) (.f64 1/3 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)))))) (.f64 -2/3 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))))))))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 (exp.f64 t))) (log.f64 z))) x))
(cbrt.f64 (.f64 (exp.f64 (.f64 y (-.f64 (log.f64 z) t))) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))

localize14.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.2%)

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)))))))

simplify38.0ms (0.1%)

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)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
✓	5.7b	(.f64 y (.f64 t x))

Compiler

Compiled 34 to 14 computations (58.8% saved)

series9.0ms (0%)

Counts

2 → 18

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 y (.f64 t x))
1.0ms	t	@	inf	(.f64 y (.f64 t x))
1.0ms	x	@	0	(.f64 y (.f64 t x))
1.0ms	t	@	0	(.f64 y (.f64 t x))
1.0ms	x	@	0	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	189	17
2	2608	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(.f64 y (.f64 t x))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)

Outputs

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

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

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

342×	`fma-def_binary64`
109×	`fma-neg_binary64`
74×	`associate-l_binary64`
56×	`associate-r_binary64`
55×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	170
1	40	158
2	101	158
3	225	158
4	366	158
5	585	158
6	1085	158
7	1126	158

Stop Event

1×

saturated

Counts

70 → 58

Calls

Call 1

Inputs
x
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
x
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))

Outputs
x
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 x t)))
(.f64 (.f64 x t) (neg.f64 y))
(.f64 x (neg.f64 (.f64 y t)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 x t)))
(.f64 (.f64 x t) (neg.f64 y))
(.f64 x (neg.f64 (.f64 y t)))
x
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 x t)))
(.f64 (.f64 x t) (neg.f64 y))
(.f64 x (neg.f64 (.f64 y t)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 x t)))
(.f64 (.f64 x t) (neg.f64 y))
(.f64 x (neg.f64 (.f64 y t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))
(.f64 -1 (.f64 (-.f64 (*.f64 y t) 1) x))
(.f64 x (fma.f64 -1 (.f64 y t) 1))
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 x t)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t)))
✓	0.0b	(-.f64 x (.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t)))))
✓	2.2b	(.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t))))
✓	4.3b	(.f64 (.f64 x -1/2) (*.f64 y t))

Compiler

Compiled 60 to 28 computations (53.3% saved)

series38.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t)))
1.0ms	x	@	0	(.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t))))
1.0ms	t	@	-inf	(.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t))))
1.0ms	y	@	-inf	(.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t))))
1.0ms	x	@	-inf	(.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t))))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log-prod_binary64`
581×	`fma-def_binary64`
349×	`pow2_binary64`
245×	`fma-neg_binary64`
243×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	254	58
2	3907	58

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x -1/2) (pow.f64 (cbrt.f64 (.f64 y t)) 2)) (cbrt.f64 (.f64 y t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x -1/2) (sqrt.f64 (.f64 y t))) (sqrt.f64 (.f64 y t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 y t) (pow.f64 (cbrt.f64 (.f64 x -1/2)) 2)) (cbrt.f64 (.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 y t) (sqrt.f64 (.f64 x -1/2))) (sqrt.f64 (.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (.f64 x -1/2) y) 1) t x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (.f64 x -1/2) y) (cbrt.f64 (.f64 t t))) (cbrt.f64 t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (.f64 x -1/2) y) (sqrt.f64 t)) (sqrt.f64 t) x)))))

simplify163.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
509×	`unswap-sqr_binary64`
378×	`unsub-neg_binary64`
343×	`cancel-sign-sub-inv_binary64`
323×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	2276
1	138	2166
2	464	1906
3	1951	1906
4	4824	1906
5	6222	1906

Stop Event

1×	node limit

Counts

410 → 292

Calls

Call 1

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

Outputs
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
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(.f64 -1/2 (.f64 y (*.f64 t x)))
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(.f64 -1/2 (.f64 y (*.f64 t x)))
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(.f64 -1/2 (.f64 (.f64 t t) (.f64 x (*.f64 y y))))
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(fma.f64 -1/2 (.f64 (.f64 t t) (.f64 x (.f64 y y))) (.f64 y (.f64 t x)))
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(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
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(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
x
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(.f64 -1/2 (.f64 y (*.f64 t x)))
(.f64 x (.f64 t (*.f64 -1/2 y)))
(.f64 (.f64 y t) (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))
(+.f64 (.f64 -1/2 (.f64 y (*.f64 t x))) x)
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y t))))
(.f64 x (fma.f64 -1/2 (.f64 y t) 1))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 b a))
✓	0.0b	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
✓	0.4b	(+.f64 1 (expm1.f64 (*.f64 b a)))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series16.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
1.0ms	x	@	0	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
1.0ms	b	@	0	(+.f64 1 (expm1.f64 (*.f64 b a)))
1.0ms	x	@	inf	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
1.0ms	b	@	0	(expm1.f64 (*.f64 b a))

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
829×	`add-log-exp_binary64`
811×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	183	21
2	2335	21

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(+.f64 1 (expm1.f64 (*.f64 b a)))
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
(expm1.f64 (*.f64 b a))

Outputs

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

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

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

631×	`times-frac_binary64`
369×	`associate-l_binary64`
369×	`distribute-rgt-in_binary64`
331×	`associate-/l/_binary64`
328×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	52	896
1	151	892
2	439	870
3	1950	860
4	3292	842
5	4001	836
6	4887	836
7	6783	798

Stop Event

1×	node limit

Counts

164 → 107

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))
(.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)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
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)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 a b) (+.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 (.f64 a b) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 a b) (+.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 (.f64 a b) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)
(-.f64 (exp.f64 (*.f64 a b)) 1)

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 (.f64 a a) (*.f64 1/2 b)) b (fma.f64 a b 1))
(fma.f64 (.f64 b b) (.f64 a (*.f64 a 1/2)) (fma.f64 a b 1))
(fma.f64 a b (fma.f64 (.f64 a a) (.f64 (*.f64 1/2 b) b) 1))
(fma.f64 a b (fma.f64 1/2 (pow.f64 (*.f64 a b) 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 b b) (.f64 1/2 (*.f64 a a)))))
(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 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) 1)))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) 1)))
(fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) 1)))
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
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 (.f64 a a) (*.f64 1/2 b)) b (fma.f64 a b 1))
(fma.f64 (.f64 b b) (.f64 a (*.f64 a 1/2)) (fma.f64 a b 1))
(fma.f64 a b (fma.f64 (.f64 a a) (.f64 (*.f64 1/2 b) b) 1))
(fma.f64 a b (fma.f64 1/2 (pow.f64 (*.f64 a b) 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 b b) (.f64 1/2 (*.f64 a a)))))
(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 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) 1)))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) 1)))
(fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) 1)))
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(exp.f64 (*.f64 a b))
(pow.f64 (exp.f64 a) b)
(.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)
(fma.f64 b (*.f64 a x) 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 b b) (.f64 (*.f64 a a) x)) x))
(.f64 x (fma.f64 (.f64 (.f64 a a) (.f64 1/2 b)) b (fma.f64 a b 1)))
(.f64 x (fma.f64 (.f64 b b) (.f64 a (.f64 a 1/2)) (fma.f64 a b 1)))
(.f64 (fma.f64 (.f64 b b) (.f64 a (.f64 a 1/2)) (fma.f64 a b 1)) x)
(.f64 (fma.f64 a b (fma.f64 (.f64 a a) (.f64 (.f64 1/2 b) b) 1)) x)
(.f64 (fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 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 b 3) (.f64 (pow.f64 a 3) x)) (fma.f64 1/2 (.f64 (.f64 b b) (.f64 (*.f64 a a) x)) x)))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (.f64 (pow.f64 a 3) x)) (.f64 x (fma.f64 (.f64 (.f64 a a) (.f64 1/2 b)) b (fma.f64 a b 1))))
(.f64 x (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))))
(.f64 x (fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))))
(.f64 (fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))) x)
(.f64 (fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))) x)
(.f64 (fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.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)
(fma.f64 b (*.f64 a x) 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 b b) (.f64 (*.f64 a a) x)) x))
(.f64 x (fma.f64 (.f64 (.f64 a a) (.f64 1/2 b)) b (fma.f64 a b 1)))
(.f64 x (fma.f64 (.f64 b b) (.f64 a (.f64 a 1/2)) (fma.f64 a b 1)))
(.f64 (fma.f64 (.f64 b b) (.f64 a (.f64 a 1/2)) (fma.f64 a b 1)) x)
(.f64 (fma.f64 a b (fma.f64 (.f64 a a) (.f64 (.f64 1/2 b) b) 1)) x)
(.f64 (fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 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 b 3) (.f64 (pow.f64 a 3) x)) (fma.f64 1/2 (.f64 (.f64 b b) (.f64 (*.f64 a a) x)) x)))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (.f64 (pow.f64 a 3) x)) (.f64 x (fma.f64 (.f64 (.f64 a a) (.f64 1/2 b)) b (fma.f64 a b 1))))
(.f64 x (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))))
(.f64 x (fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))))
(.f64 (fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))) x)
(.f64 (fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))) x)
(.f64 (fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/6 (pow.f64 (*.f64 a b) 3) 1))) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(.f64 x (exp.f64 (.f64 a b)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(fma.f64 a b (.f64 1/2 (.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a b (.f64 (.f64 b b) (.f64 1/2 (.f64 a a))))
(.f64 b (+.f64 (.f64 (.f64 a a) (.f64 1/2 b)) a))
(.f64 a (+.f64 b (.f64 (.f64 b (.f64 a b)) 1/2)))
(.f64 a (+.f64 b (.f64 (.f64 (.f64 1/2 b) b) a)))
(fma.f64 a b (.f64 1/2 (pow.f64 (.f64 a b) 2)))
(+.f64 (.f64 a b) (+.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)))))
(fma.f64 a b (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 a b (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (.f64 b b) (.f64 1/2 (*.f64 a a)))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 b (+.f64 (.f64 (.f64 a a) (*.f64 1/2 b)) a)))
(.f64 b (+.f64 a (.f64 b (+.f64 (.f64 a (.f64 a 1/2)) (.f64 b (.f64 1/6 (pow.f64 a 3)))))))
(fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 a (+.f64 b (.f64 (.f64 b (*.f64 a b)) 1/2))))
(fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 a (+.f64 b (.f64 (.f64 (*.f64 1/2 b) b) a))))
(fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(fma.f64 a b (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))))))
(fma.f64 a b (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 a 1/2)) (.f64 (pow.f64 a 3) (*.f64 1/6 b))))))
(fma.f64 a b (.f64 (.f64 b b) (+.f64 (.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 (.f64 1/24 (pow.f64 a 4)) b))) (.f64 a (.f64 a 1/2)))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 1/24 (pow.f64 (.f64 a b) 4)))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/24 (pow.f64 (.f64 a b) 4) (.f64 1/6 (pow.f64 (.f64 a b) 3)))))
(fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/24 (pow.f64 (.f64 a b) 4) (.f64 1/6 (pow.f64 (.f64 a b) 3)))))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(fma.f64 a b (.f64 1/2 (.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a b (.f64 (.f64 b b) (.f64 1/2 (.f64 a a))))
(.f64 b (+.f64 (.f64 (.f64 a a) (.f64 1/2 b)) a))
(.f64 a (+.f64 b (.f64 (.f64 b (.f64 a b)) 1/2)))
(.f64 a (+.f64 b (.f64 (.f64 (.f64 1/2 b) b) a)))
(fma.f64 a b (.f64 1/2 (pow.f64 (.f64 a b) 2)))
(+.f64 (.f64 a b) (+.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)))))
(fma.f64 a b (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(fma.f64 a b (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (.f64 b b) (.f64 1/2 (*.f64 a a)))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 b (+.f64 (.f64 (.f64 a a) (*.f64 1/2 b)) a)))
(.f64 b (+.f64 a (.f64 b (+.f64 (.f64 a (.f64 a 1/2)) (.f64 b (.f64 1/6 (pow.f64 a 3)))))))
(fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 a (+.f64 b (.f64 (.f64 b (*.f64 a b)) 1/2))))
(fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 a (+.f64 b (.f64 (.f64 (*.f64 1/2 b) b) a))))
(fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(fma.f64 a b (fma.f64 1/2 (.f64 (.f64 a a) (.f64 b b)) (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3))))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))))))
(fma.f64 a b (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 a 1/2)) (.f64 (pow.f64 a 3) (*.f64 1/6 b))))))
(fma.f64 a b (.f64 (.f64 b b) (+.f64 (.f64 b (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 (.f64 1/24 (pow.f64 a 4)) b))) (.f64 a (.f64 a 1/2)))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 b 4))))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 b (.f64 a b))) (fma.f64 1/6 (pow.f64 (.f64 a b) 3) (.f64 1/24 (pow.f64 (.f64 a b) 4)))))
(fma.f64 a b (fma.f64 1/2 (.f64 a (.f64 a (.f64 b b))) (fma.f64 1/24 (pow.f64 (.f64 a b) 4) (.f64 1/6 (pow.f64 (.f64 a b) 3)))))
(fma.f64 a b (fma.f64 1/2 (pow.f64 (.f64 a b) 2) (fma.f64 1/24 (pow.f64 (.f64 a b) 4) (.f64 1/6 (pow.f64 (.f64 a b) 3)))))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))
(-.f64 (exp.f64 (*.f64 a b)) 1)
(expm1.f64 (*.f64 a b))

eval455.0ms (1.5%)

Compiler: Compiled 17327 to 8558 computations (50.6% saved)

prune278.0ms (0.9%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	672	12	684
Fresh	2	5	7
Picked	1	0	1
Done	3	3	6
Total	678	20	698

Error

Counts

698 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	44.1b	x
	56.9b	(.f64 (neg.f64 b) (.f64 a x))
	55.5b	(.f64 -1 (.f64 a (*.f64 b x)))
▶	50.4b	(+.f64 (.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x)) x)
	45.9b	(.f64 y (.f64 (.f64 x (.f64 t t)) (*.f64 y 1/2)))
▶	56.2b	(.f64 x (neg.f64 (.f64 y t)))
	45.2b	(+.f64 (.f64 -1 (.f64 a (*.f64 b x))) x)
✓	22.4b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
▶	40.6b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
	54.3b	(.f64 -1 (.f64 y (*.f64 t x)))
	27.3b	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z y) x)) 3)
▶	44.6b	(-.f64 x (.f64 x (.f64 y t)))
	41.2b	(.f64 (exp.f64 (.f64 a b)) x)
	45.4b	(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
✓	44.7b	(-.f64 x (.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t)))))
	39.3b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
✓	21.3b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	26.9b	(*.f64 (pow.f64 z y) x)
▶	19.1b	(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
	29.9b	(.f64 (pow.f64 z y) (+.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 a x)) x))

Compiler

Compiled 534 to 389 computations (27.2% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 11 computations (71.8% saved)

series32.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
9.0ms	b	@	inf	(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
2.0ms	x	@	0	(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
1.0ms	a	@	0	(exp.f64 (*.f64 a (neg.f64 (+.f64 b z))))
1.0ms	b	@	0	(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
1.0ms	a	@	inf	(*.f64 a (neg.f64 (+.f64 b z)))

rewrite123.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`prod-diff_binary64`
504×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
259×	`pow2_binary64`
250×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	212	28
2	2947	28

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

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

simplify158.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

906×	`distribute-rgt-in_binary64`
903×	`distribute-lft-in_binary64`
818×	`fma-neg_binary64`
426×	`*-commutative_binary64`
239×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1929
1	436	1910
2	1511	1766
3	4170	1620

Stop Event

1×	node limit

Counts

311 → 255

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(.f64 x (neg.f64 (.f64 y t)))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(.f64 x (neg.f64 (.f64 y t)))
1.0ms	y	@	0	(.f64 x (neg.f64 (.f64 y t)))
1.0ms	x	@	0	(.f64 x (neg.f64 (.f64 y t)))
0.0ms	x	@	-inf	(.f64 x (neg.f64 (.f64 y t)))
0.0ms	y	@	-inf	(.f64 x (neg.f64 (.f64 y t)))

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`pow1_binary64`
579×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
567×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	7
2	1904	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify30.0ms (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 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))

Outputs
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 y t)))
✓	4.3b	(.f64 x (.f64 y t))

Compiler

Compiled 24 to 9 computations (62.5% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 y t))
0.0ms	y	@	inf	(-.f64 x (.f64 x (.f64 y t)))
0.0ms	y	@	0	(.f64 x (.f64 y t))
0.0ms	x	@	0	(-.f64 x (.f64 x (.f64 y t)))
0.0ms	x	@	inf	(-.f64 x (.f64 x (.f64 y t)))

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
807×	`add-log-exp_binary64`
807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
789×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2206	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(.f64 x (.f64 y t))
(-.f64 x (.f64 x (.f64 y t)))

Outputs

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

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

440×	`fma-def_binary64`
125×	`fma-neg_binary64`
48×	`associate-l_binary64`
48×	`cancel-sign-sub-inv_binary64`
46×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	590
1	39	590
2	87	590
3	178	590
4	276	590
5	425	590
6	732	590
7	864	590
8	1082	590
9	1172	590

Stop Event

1×

saturated

Counts

122 → 58

Calls

Call 1

Inputs
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
x
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
x
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)

Outputs
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 y (.f64 t x))
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (-.f64 1 (.f64 y t)) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 (+.f64 (.f64 -1 (*.f64 y t)) 1) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
x
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 y (.f64 t (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 y (.f64 t (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
x
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 y (.f64 t (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(.f64 -1 (.f64 y (*.f64 t x)))
(neg.f64 (.f64 y (.f64 t x)))
(.f64 y (neg.f64 (.f64 t x)))
(.f64 y (.f64 t (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
(.f64 x (-.f64 1 (.f64 y t)))
(-.f64 x (.f64 y (.f64 t x)))
(neg.f64 (*.f64 x (fma.f64 y t -1)))
(*.f64 (neg.f64 x) (fma.f64 y t -1))
(fma.f64 y (*.f64 t (neg.f64 x)) x)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 x (.f64 y t)))
✓	2.2b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
	4.3b	(.f64 x (.f64 y t))

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 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
0.0ms	y	@	inf	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)

rewrite81.0ms (0.3%)

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	32
1	227	16
2	3388	16

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
(+.f64 x (.f64 x (.f64 y t)))

Outputs

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-def_binary64`
124×	`fma-neg_binary64`
62×	`associate-l_binary64`
53×	`associate-r_binary64`
44×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	660
1	38	540
2	93	540
3	222	540
4	445	540
5	673	540
6	809	540
7	855	540

Stop Event

1×

saturated

Counts

310 → 133

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
x
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
x
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
x
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
x
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))
(+.f64 x (.f64 y (.f64 t x)))

Outputs
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
x
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
x
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y t)) 1) x))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
x
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
x
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 (.f64 y (.f64 t x)) x)
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(.f64 y (.f64 t x))
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)
(+.f64 x (.f64 y (.f64 t x)))
(.f64 (+.f64 1 (.f64 y t)) x)
(*.f64 (fma.f64 y t 1) x)

localize19.0ms (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)
	0.0b	(/.f64 z (exp.f64 t))
✓	0.1b	(*.f64 (log.f64 (/.f64 z (exp.f64 t))) x)
✓	0.6b	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))

Compiler

Compiled 48 to 12 computations (75% saved)

series29.0ms (0.1%)

Counts

3 → 63

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))
2.0ms	t	@	-inf	(*.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	z	@	inf	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))
1.0ms	z	@	-inf	(.f64 y (.f64 (log.f64 (/.f64 z (exp.f64 t))) x))

rewrite83.0ms (0.3%)

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	34
1	230	34
2	3161	34

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

799×	`times-frac_binary64`
728×	`fma-def_binary64`
377×	`cancel-sign-sub-inv_binary64`
367×	`associate-l_binary64`
325×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	1142
1	313	812
2	993	812
3	4829	812

Stop Event

1×	node limit

Counts

165 → 135

Calls

Call 1

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

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

eval160.0ms (0.5%)

Compiler: Compiled 10294 to 4273 computations (58.5% saved)

prune139.0ms (0.5%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	641	5	646
Fresh	3	9	12
Picked	1	0	1
Done	2	5	7
Total	647	19	666

Error

Counts

666 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1)
	44.1b	x
	56.9b	(.f64 (neg.f64 b) (.f64 a x))
	55.5b	(.f64 -1 (.f64 a (*.f64 b x)))
	45.9b	(.f64 y (.f64 (.f64 x (.f64 t t)) (*.f64 y 1/2)))
	45.2b	(-.f64 x (.f64 a (.f64 (+.f64 b z) x)))
✓	56.2b	(.f64 x (neg.f64 (.f64 y t)))
✓	22.4b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
	44.4b	(+.f64 (.f64 (log.f64 z) (.f64 y x)) x)
	27.3b	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z y) x)) 3)
✓	44.6b	(-.f64 x (.f64 x (.f64 y t)))
	41.2b	(.f64 (exp.f64 (.f64 a b)) x)
	45.4b	(-.f64 x (.f64 (.f64 b x) (+.f64 a (.f64 (.f64 a b) (*.f64 a -1/2)))))
✓	44.7b	(-.f64 x (.f64 (.f64 y t) (+.f64 x (.f64 (.f64 x -1/2) (*.f64 y t)))))
	39.3b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
✓	21.3b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	54.3b	(.f64 y (.f64 t x))
	36.1b	(.f64 x (exp.f64 (.f64 z (neg.f64 a))))
	26.9b	(*.f64 (pow.f64 z y) x)

Compiler

Compiled 264 to 193 computations (26.9% saved)

regimes319.0ms (1.1%)

Counts

38 → 1

Calls

Call 1

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

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:

38.0ms	t
38.0ms	x
37.0ms	z
37.0ms	b
36.0ms	a

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`t`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
0.3b	1	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.3b	1	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.3b	1	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`
0.3b	1	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`

Compiler

Compiled 539 to 283 computations (47.5% saved)

regimes278.0ms (0.9%)

Counts

35 → 2

Calls

Call 1

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

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 (.f64 a (neg.f64 (+.f64 b z)))))

Calls

11 calls:

46.0ms	t
41.0ms	a
29.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
27.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
25.0ms	z

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
2.0b	1	`t`
0.8b	2	`a`
2.0b	1	`b`
2.0b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
0.5b	2	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.5b	2	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.5b	2	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`
0.5b	2	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`

Compiler

Compiled 471 to 251 computations (46.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00037286752382028	-1.9013658300595014e-5

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes1.6s (5.4%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

6 calls:

417.0ms	x
297.0ms	z
281.0ms	a
234.0ms	b
182.0ms	y

Results

Error	Segments	Branch
12.1b	8	`x`
5.9b	3	`y`
13.2b	8	`z`
7.8b	6	`t`
7.0b	8	`a`
10.0b	7	`b`

Compiler

Compiled 332 to 159 computations (52.1% saved)

bsearch274.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
182.0ms	4.636502201524744e-17	1.5770126756440294e-11
91.0ms	-1.2359160118673132e+159	-5.037884101503431e+136

Compiler

Compiled 642 to 485 computations (24.5% saved)

regimes457.0ms (1.5%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

6 calls:

108.0ms	a
88.0ms	z
79.0ms	t
71.0ms	b
59.0ms	x

Results

Error	Segments	Branch
16.7b	5	`x`
6.3b	3	`y`
15.4b	7	`z`
7.8b	6	`t`
8.7b	7	`a`
11.7b	4	`b`

Compiler

Compiled 262 to 138 computations (47.3% saved)

bsearch152.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	0.20900067905007513	155092.15222681005
50.0ms	-1.2359160118673132e+159	-5.037884101503431e+136

Compiler

Compiled 615 to 467 computations (24.1% saved)

regimes756.0ms (2.6%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

6 calls:

185.0ms	a
144.0ms	b
143.0ms	z
126.0ms	t
80.0ms	x

Results

Error	Segments	Branch
17.5b	6	`x`
7.0b	5	`y`
17.1b	6	`z`
8.7b	6	`t`
9.9b	9	`a`
10.8b	7	`b`

Compiler

Compiled 253 to 134 computations (47% saved)

bsearch547.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
95.0ms	0.20900067905007513	155092.15222681005
194.0ms	1.7341621099806148e-120	3.936181872927874e-112
208.0ms	1.7450190709544457e-160	1.8551888958181065e-153
50.0ms	-1.2359160118673132e+159	-5.037884101503431e+136

Compiler

Compiled 1079 to 843 computations (21.9% saved)

regimes714.0ms (2.4%)

Counts

23 → 6

Calls

Call 1

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

Outputs
(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
(*.f64 (pow.f64 z y) x)
(.f64 y (.f64 (.f64 x (.f64 t t)) (*.f64 y 1/2)))
(*.f64 (pow.f64 z y) x)
(.f64 y (.f64 (.f64 x (.f64 t t)) (*.f64 y 1/2)))
(.f64 x (exp.f64 (.f64 y (neg.f64 t))))

Calls

6 calls:

203.0ms	y
170.0ms	a
147.0ms	b
101.0ms	x
64.0ms	t

Results

Error	Segments	Branch
20.3b	5	`x`
13.6b	2	`y`
22.4b	1	`z`
11.4b	6	`t`
13.4b	11	`a`
16.8b	9	`b`

Compiler

Compiled 230 to 122 computations (47% saved)

bsearch998.0ms (3.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
243.0ms	6.881951532146738e-136	2.1361272829917345e-133
254.0ms	3.773385153021638e-144	8.422675334277007e-140
181.0ms	8.957079307428219e-166	3.7642275627243045e-165
195.0ms	-1.7919436032677236e-262	-2.1958737437132467e-263
125.0ms	-2.899425674824174e+21	-2.5218124581324443e+20

Compiler

Compiled 1045 to 777 computations (25.6% saved)

regimes235.0ms (0.8%)

Counts

22 → 4

Calls

Call 1

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

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

Calls

6 calls:

58.0ms	x
50.0ms	t
49.0ms	b
40.0ms	y
20.0ms	a

Results

Error	Segments	Branch
24.4b	5	`x`
18.4b	4	`y`
26.9b	1	`z`
21.0b	4	`t`
22.0b	2	`a`
24.4b	5	`b`

Compiler

Compiled 223 to 118 computations (47.1% saved)

bsearch200.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
110.0ms	4.636502201524744e-17	1.5770126756440294e-11
39.0ms	-1.7332799957860344e+62	-4.849700739744522e+57
51.0ms	-1.2359160118673132e+159	-5.037884101503431e+136

Compiler

Compiled 919 to 694 computations (24.5% saved)

regimes300.0ms (1%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

6 calls:

90.0ms	x
73.0ms	y
53.0ms	b
47.0ms	t
20.0ms	a

Results

Error	Segments	Branch
24.4b	5	`x`
21.3b	5	`y`
26.9b	1	`z`
21.0b	4	`t`
25.5b	2	`a`
24.4b	5	`b`

Compiler

Compiled 216 to 114 computations (47.2% saved)

bsearch537.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
232.0ms	8.957079307428219e-166	3.7642275627243045e-165
193.0ms	-1.7919436032677236e-262	-2.1958737437132467e-263
111.0ms	-2.2859733978061337e+45	-4.733069003411778e+42

Compiler

Compiled 633 to 473 computations (25.3% saved)

regimes395.0ms (1.3%)

Counts

19 → 6

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)
(-.f64 x (.f64 a (.f64 (+.f64 b z) x)))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
(.f64 y (.f64 (.f64 x (.f64 t t)) (*.f64 y 1/2)))
x
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1)

Calls

6 calls:

80.0ms	b
79.0ms	t
65.0ms	x
64.0ms	y
55.0ms	z

Results

Error	Segments	Branch
35.0b	7	`x`
30.9b	5	`y`
37.1b	4	`z`
29.2b	6	`t`
32.4b	5	`a`
33.4b	7	`b`

Compiler

Compiled 205 to 110 computations (46.3% saved)

bsearch994.0ms (3.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
210.0ms	7.87830983131779e+21	9.086331698753559e+23
158.0ms	5.6481278116886244e-133	1.956129206095764e-132
305.0ms	-2.2314288742134392e-157	-3.274221506448813e-167
183.0ms	-2.283771766615139e-42	-1.6105304402385192e-43
138.0ms	-4.733069003411778e+42	-6.511323563605256e+30

Compiler

Compiled 1249 to 942 computations (24.6% saved)

regimes192.0ms (0.6%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

6 calls:

45.0ms	b
36.0ms	x
32.0ms	t
32.0ms	y
31.0ms	a

Results

Error	Segments	Branch
37.7b	4	`x`
33.2b	4	`y`
40.6b	1	`z`
34.6b	4	`t`
34.8b	3	`a`
35.3b	6	`b`

Compiler

Compiled 164 to 92 computations (43.9% saved)

bsearch328.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
99.0ms	2.734407409151805e+156	3.603197661235538e+160
83.0ms	2.8509549633537372e-53	3.0762277765359656e-52
146.0ms	-7.692987518734158e-34	-1.4160163625875602e-38

Compiler

Compiled 769 to 597 computations (22.4% saved)

regimes228.0ms (0.8%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	x
49.0ms	b
43.0ms	z
28.0ms	t
23.0ms	y

Results

Error	Segments	Branch
38.8b	3	`x`
36.2b	3	`y`
40.2b	6	`z`
39.0b	4	`t`
35.7b	3	`a`
36.9b	7	`b`

Compiler

Compiled 142 to 81 computations (43% saved)

bsearch303.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
155.0ms	1.932136653665897e+77	5.806530519200185e+79
148.0ms	-4.53724458049253e-125	-4.8549504008940524e-126

Compiler

Compiled 481 to 389 computations (19.1% saved)

regimes206.0ms (0.7%)

Counts

13 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1)
x
(-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1)

Calls

6 calls:

48.0ms	b
42.0ms	z
34.0ms	y
30.0ms	x
28.0ms	t

Results

Error	Segments	Branch
38.8b	3	`x`
36.2b	3	`y`
40.2b	6	`z`
39.0b	4	`t`
35.9b	3	`a`
36.9b	7	`b`

Compiler

Compiled 133 to 75 computations (43.6% saved)

bsearch302.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	16163372391011594.0	132525174192333200.0
178.0ms	-4.53724458049253e-125	-4.8549504008940524e-126

Compiler

Compiled 321 to 265 computations (17.4% saved)

regimes86.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(.f64 y (.f64 t x))
x
(.f64 y (.f64 t x))

Calls

6 calls:

20.0ms	t
18.0ms	x
15.0ms	a
15.0ms	b
10.0ms	y

Results

Error	Segments	Branch
42.2b	3	`x`
40.5b	2	`y`
44.1b	1	`z`
41.0b	4	`t`
40.1b	3	`a`
41.6b	3	`b`

Compiler

Compiled 88 to 58 computations (34.1% saved)

bsearch370.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
221.0ms	3.004982758875786e+174	7.1568679485745e+183
149.0ms	-1206834079.9760811	-0.04006088694131828

Compiler

Compiled 413 to 329 computations (20.3% 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	t
3.0ms	a

Results

Error	Segments	Branch
44.1b	1	`x`
44.1b	1	`y`
44.1b	1	`z`
44.1b	1	`t`
44.1b	1	`a`
44.1b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
29×	`+-commutative_binary64`
21×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	793
1	236	789
2	282	789
3	309	789
4	321	789
5	325	789
6	326	789

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)))))
(if (<=.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -7378697629483821/36893488147419103232) (.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 (*.f64 a (neg.f64 (+.f64 b z))))))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4797017652230849/309485009821345068724781056) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z))))) (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 7566047373982433/36028797018963968) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z))))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 1745457621479963/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) (if (<=.f64 y 2616619407464185/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 155000) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x)))))
(if (<=.f64 t -2800000000000000000000) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 t -6204318022337247/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (.f64 (pow.f64 z y) x) (if (<=.f64 t 7676603802429837/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 y (.f64 (.f64 x (.f64 t t)) (.f64 y 1/2))) (if (<=.f64 t 6678075163775057/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (.f64 (pow.f64 z y) x) (if (<=.f64 t 671300808259951/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (.f64 y (.f64 (.f64 x (.f64 t t)) (.f64 y 1/2))) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))))))))
(if (<=.f64 y -52000000000000002534081210426466904797218788491663607952146151870806368464547969861295307458031007741051887298428872709578736544258195456) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1) (if (<=.f64 y -170000000000000007095537620268141899024965315816726212634476544) (.f64 y (.f64 (.f64 x (.f64 t t)) (.f64 y 1/2))) (if (<=.f64 y 1906546502743257/40564819207303340847894502572032) (.f64 x (exp.f64 (.f64 z (neg.f64 a)))) (.f64 (pow.f64 z y) x))))
(if (<=.f64 t -4799999999999999720275405140612290610987008) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1) (if (<=.f64 t -6204318022337247/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (.f64 (pow.f64 z y) x) (if (<=.f64 t 7676603802429837/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 y (.f64 (.f64 x (.f64 t t)) (.f64 y 1/2))) (*.f64 (pow.f64 z y) x))))
(if (<=.f64 t -4699999999999999855055088292409979858583552) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 a b)))) 1) (if (<=.f64 t -6904811908925349/3138550867693340381917894711603833208051177722232017256448) (-.f64 x (.f64 a (.f64 (+.f64 b z) x))) (if (<=.f64 t -8763776881476657/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1) (if (<=.f64 t 927034449501837/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (.f64 y (.f64 (.f64 x (.f64 t t)) (.f64 y 1/2))) (if (<=.f64 t 899999999999999958056960) x (-.f64 (+.f64 1 (+.f64 x (.f64 x (*.f64 a b)))) 1))))))
(if (<=.f64 y -4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 y (.f64 (.f64 x (.f64 t t)) (.f64 y 1/2))) (if (<=.f64 y 1010998000018149/3369993333393829974333376885877453834204643052817571560137951281152) (.f64 x (+.f64 1 (.f64 -1 (.f64 a b)))) (if (<=.f64 y 35000000000000002569805683814382103025796169865976664226019562908050154366801353717814985399785249715586775943274093618048323752824869527832627679742747964604416) (-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1) (.f64 y (.f64 (.f64 x (.f64 t t)) (*.f64 y 1/2))))))
(if (<=.f64 a -7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1) (if (<=.f64 a 194999999999999988286531651334692987839905027018285467114795916754209006944256) (.f64 x (+.f64 1 (.f64 -1 (.f64 a b)))) (-.f64 (+.f64 1 (.f64 x (*.f64 y t))) 1)))
(if (<=.f64 a -8574138474378641/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1) (if (<=.f64 a 16500000000000000) x (-.f64 (+.f64 1 (.f64 x (.f64 y t))) 1)))
(if (<=.f64 a -1200000000) (.f64 y (.f64 t x)) (if (<=.f64 a 3100000000000000016062286752456647315328717891348430349830990130722438803430299514611535396959912083692742296031302939182797422016833898237567848935750497130923465611715543040) x (.f64 y (.f64 t x))))
x

Outputs
(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
(if (<=.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -7378697629483821/36893488147419103232) (.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 (*.f64 a (neg.f64 (+.f64 b z))))))
(if (<=.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -7378697629483821/36893488147419103232) (.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 (*.f64 a (neg.f64 (+.f64 z b))))))
(if (<=.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -7378697629483821/36893488147419103232) (.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 (*.f64 a (-.f64 (neg.f64 b) z)))))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4797017652230849/309485009821345068724781056) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z))))) (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4797017652230849/309485009821345068724781056) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 z b))))) (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4797017652230849/309485009821345068724781056) (.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 b) z)))) (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(if (<=.f64 y -1220000000000000037621268676985162597476884025199204493062441389870728370058249215827292695006415169512501760466009171811993360006485228210210283888592180740096) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 7566047373982433/36028797018963968) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z))))) (*.f64 (pow.f64 z y) x)))
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x

Compiler

Compiled 615 to 375 computations (39% saved)

soundness106.0ms (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)

end174.0ms (0.6%)

Compiler: Compiled 537 to 240 computations (55.3% 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