Details

analyze442.0ms (1.6%)

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)

sample8.8s (31.3%)

Results

6.1s	18687×	body	256	invalid
2.1s	7803×	body	256	valid
256.0ms	145×	body	1024	valid
184.0ms	308×	body	512	valid
59.0ms	133×	body	512	invalid
31.0ms	43×	body	1024	invalid

preprocess67.0ms (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)

simplify63.0ms (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)))))
▶	1.7b	(.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)

localize37.0ms (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)))))
✓	0.1b	(*.f64 y (-.f64 (log.f64 z) t))
✓	0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
✓	8.0b	(log.f64 (-.f64 1 z))

Compiler

Compiled 95 to 45 computations (52.6% saved)

series167.0ms (0.6%)

Counts

4 → 176

Calls

45 calls:

Time	Variable		Point	Expression
54.0ms	x	@	0	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
30.0ms	y	@	0	(*.f64 y (-.f64 (log.f64 z) t))
13.0ms	z	@	0	(*.f64 y (-.f64 (log.f64 z) t))
11.0ms	z	@	-inf	(*.f64 y (-.f64 (log.f64 z) t))
10.0ms	y	@	0	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))

rewrite101.0ms (0.4%)

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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simplify122.0ms (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)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))
(+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))))
(+.f64 (.f64 -1/2 (.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 a z)) (+.f64 (.f64 -1/3 (.f64 a (pow.f64 z 3))) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b))))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))
(+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (.f64 -1 (/.f64 a z)))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y) (+.f64 (.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))))
(+.f64 (.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 a (-.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) b)) (+.f64 (.f64 -1/3 (/.f64 a (pow.f64 z 3))) (.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (log.f64 z)))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 -1 (.f64 y t))))
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 -1 (.f64 y t))))
(+.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)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

0.1b

(*.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)

series39.0ms (0.1%)

Counts

2 → 132

Calls

33 calls:

Time	Variable		Expression
13.0ms	x	@	(.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (.f64 y (-.f64 (log.f64 z) t)))))
2.0ms	a	@	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
2.0ms	b	@	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
2.0ms	y	@	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
2.0ms	t	@	(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))

rewrite92.0ms (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	45
1	332	41
2	4451	41

Stop Event

1×	node limit

Counts

2 → 52

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)))))

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

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

simplify124.0ms (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	4816
1	796	4461
2	2935	4082

Stop Event

1×	node limit

Counts

184 → 155

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

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

eval217.0ms (0.8%)

Compiler: Compiled 13299 to 5913 computations (55.5% saved)

prune526.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	442	6	448
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	444	6	450

Error

0.0b

Counts

450 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(.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)))))
▶	22.5b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
▶	45.2b	(.f64 x (exp.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
▶	17.8b	(.f64 x (exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
▶	20.5b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
▶	20.8b	(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))

Compiler

Compiled 222 to 166 computations (25.2% saved)

localize14.0ms (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)

series32.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
13.0ms	a	@	0	(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
2.0ms	z	@	0	(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
1.0ms	z	@	inf	(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)))

rewrite77.0ms (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

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

((#(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))))))

simplify90.0ms (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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(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 a a) (fma.f64 1/3 a (.f64 (pow.f64 a 3) 1/6))) (/.f64 (pow.f64 z 3) (.f64 (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) x))) (fma.f64 x (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) (fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b))) x) z) (/.f64 (.f64 (.f64 (fma.f64 1/2 (.f64 a a) (.f64 a -1/2)) (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b))) x) (.f64 z z)))))
(-.f64 (-.f64 (fma.f64 (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) x (.f64 (/.f64 (.f64 (fma.f64 1/2 (.f64 a a) (.f64 a -1/2)) x) z) (/.f64 (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) z))) (/.f64 a (/.f64 (/.f64 z (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b))) x))) (/.f64 (fma.f64 (.f64 a a) -1/2 (fma.f64 a 1/3 (.f64 (pow.f64 a 3) 1/6))) (/.f64 (/.f64 (pow.f64 z 3) x) (pow.f64 (exp.f64 a) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)))))
(-.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)

localize12.0ms (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)

series8.0ms (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	a	@	0	(exp.f64 (*.f64 b (neg.f64 a)))
1.0ms	x	@	inf	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
1.0ms	b	@	0	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))

rewrite58.0ms (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)))))))

simplify61.0ms (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))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite59.0ms (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 y (neg.f64 t)))
(.f64 x (exp.f64 (.f64 y (neg.f64 t))))

Outputs

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

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

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 56

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series151.0ms (0.5%)

Counts

2 → 24

Calls

15 calls:

Time	Variable		Point	Expression
79.0ms	t	@	inf	(pow.f64 (/.f64 z (exp.f64 t)) y)
21.0ms	t	@	-inf	(pow.f64 (/.f64 z (exp.f64 t)) y)
18.0ms	z	@	-inf	(pow.f64 (/.f64 z (exp.f64 t)) y)
16.0ms	z	@	0	(pow.f64 (/.f64 z (exp.f64 t)) y)
12.0ms	z	@	inf	(pow.f64 (/.f64 z (exp.f64 t)) y)

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1859	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 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))))))

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

860×	`times-frac_binary64`
709×	`associate-l_binary64`
693×	`fma-def_binary64`
663×	`associate-r_binary64`
311×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	610
1	341	498
2	1276	410
3	7544	383

Stop Event

1×	node limit

Counts

71 → 73

Calls

Call 1

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

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

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2)
✓	0.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
✓	0.3b	(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
	8.0b	(log.f64 (-.f64 1 z))

Compiler

Compiled 121 to 55 computations (54.5% saved)

series32.0ms (0.1%)

Counts

3 → 69

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
3.0ms	a	@	0	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
2.0ms	t	@	inf	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
2.0ms	y	@	-inf	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
1.0ms	y	@	inf	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))

rewrite136.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`fma-def_binary64`
332×	`fma-neg_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	392	40
2	5086	40

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) y) (*.f64 (neg.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 z)) (*.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 (log.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 z) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1/4) (*.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1/4) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1/4)) (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 z) t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (fma.f64 t (+.f64 (log.f64 z) t) (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (+.f64 (log.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (fma.f64 t (+.f64 (log.f64 z) t) (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (+.f64 (log.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (log.f64 z) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 z) (*.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (*.f64 (neg.f64 t) y))))))

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-def_binary64`
657×	`fma-neg_binary64`
604×	`associate-+l+_binary64`
471×	`associate-+r+_binary64`
421×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1478
1	413	1291
2	1279	1278
3	5695	1241

Stop Event

1×	node limit

Counts

203 → 190

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(sqrt.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(sqrt.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(sqrt.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(sqrt.f64 (*.f64 y (log.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (log.f64 z))) t)) (sqrt.f64 (*.f64 y (log.f64 z))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (log.f64 z))) t)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (log.f64 z) 3))) (pow.f64 t 2))) (sqrt.f64 (*.f64 y (log.f64 z)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (log.f64 z))) t)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (log.f64 z) 3))) (pow.f64 t 2))) (+.f64 (sqrt.f64 (.f64 y (log.f64 z))) (.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (log.f64 z) 5))) (pow.f64 t 3))))))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (*.f64 a b)))
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(+.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 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/4 (/.f64 y (log.f64 z))) (*.f64 1/4 (/.f64 y (log.f64 z))))))))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/4 (/.f64 y (log.f64 z))) (.f64 1/4 (/.f64 y (log.f64 z))))) (.f64 (pow.f64 t 3) (+.f64 (.f64 1/8 (/.f64 y (pow.f64 (log.f64 z) 2))) (.f64 -1/8 (/.f64 y (pow.f64 (log.f64 z) 2)))))))))
(*.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 (-.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))))
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(+.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 y (-.f64 (log.f64 z) t))
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 y (-.f64 (log.f64 z) t))
(.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 (.f64 y (log.f64 z)) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/4 (/.f64 y (log.f64 z))) (.f64 1/4 (/.f64 y (log.f64 z)))))))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/4 (/.f64 y (log.f64 z))) (.f64 1/4 (/.f64 y (log.f64 z))))) (.f64 (pow.f64 t 3) (+.f64 (.f64 1/8 (/.f64 y (pow.f64 (log.f64 z) 2))) (*.f64 -1/8 (/.f64 y (pow.f64 (log.f64 z) 2))))))))

Outputs
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(sqrt.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(sqrt.f64 (.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
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(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
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(sqrt.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
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(sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(sqrt.f64 (*.f64 y (log.f64 z)))
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(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.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 y (-.f64 (log.f64 z) t)))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (-.f64 (log.f64 z) t)))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 y (-.f64 (log.f64 z) t)))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.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 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.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 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.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 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (log.f64 (-.f64 1 z))))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (log.f64 (-.f64 1 z)) a))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (log1p.f64 (neg.f64 z)) a))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 -1 (.f64 a b)) (.f64 a (log.f64 (-.f64 1 z)))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 -1 (.f64 a b)) (.f64 a (log.f64 (-.f64 1 z)))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 -1 (.f64 a b)) (.f64 a (log.f64 (-.f64 1 z)))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(.f64 -1 (.f64 a b))
(neg.f64 (*.f64 b a))
(*.f64 b (neg.f64 a))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(.f64 -1 (.f64 a b))
(neg.f64 (*.f64 b a))
(*.f64 b (neg.f64 a))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 -1 (.f64 a b))))
(fma.f64 -1 (.f64 t y) (fma.f64 y (log.f64 z) (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a))
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(.f64 (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 y (log.f64 z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y (log.f64 z)))
(*.f64 y (-.f64 (log.f64 z) t))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/4 (/.f64 y (log.f64 z))) (.f64 1/4 (/.f64 y (log.f64 z)))))))
(*.f64 y (-.f64 (log.f64 z) t))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/4 (/.f64 y (log.f64 z))) (.f64 1/4 (/.f64 y (log.f64 z))))) (.f64 (pow.f64 t 3) (+.f64 (.f64 1/8 (/.f64 y (pow.f64 (log.f64 z) 2))) (*.f64 -1/8 (/.f64 y (pow.f64 (log.f64 z) 2))))))))
(*.f64 y (-.f64 (log.f64 z) t))

eval307.0ms (1.1%)

Compiler: Compiled 14272 to 6471 computations (54.7% saved)

prune188.0ms (0.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	664	11	675
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	667	14	681

Error

Counts

681 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
▶	24.7b	(*.f64 x (pow.f64 z y))
▶	44.0b	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
	29.2b	(.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)))))
✓	22.5b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
	40.1b	(*.f64 (pow.f64 (-.f64 1 z) a) x)
▶	39.2b	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
▶	17.8b	(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
	44.2b	(.f64 x (exp.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (*.f64 a (-.f64 (neg.f64 z) b)))))
✓	20.5b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	42.0b	(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
	42.9b	(.f64 x (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (log1p.f64 z) b) a) 2))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 z) b) a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 z) b) a)))))
▶	42.0b	(.f64 (-.f64 1 (.f64 y t)) x)
	41.7b	x

Compiler

Compiled 445 to 312 computations (29.9% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

series17.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite89.0ms (0.3%)

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 a (neg.f64 (+.f64 b z)))
(.f64 x (exp.f64 (.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))))) 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((#(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))))))

((#(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))))))

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

906×	`distribute-rgt-in_binary64`
903×	`distribute-lft-in_binary64`
818×	`fma-neg_binary64`
430×	`*-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	4175	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 -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)))
(.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)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(-.f64 1 (*.f64 y t))
1.0ms	y	@	0	(.f64 (-.f64 1 (.f64 y t)) x)
1.0ms	t	@	inf	(.f64 (-.f64 1 (.f64 y t)) x)
1.0ms	y	@	-inf	(.f64 (-.f64 1 (.f64 y t)) x)
1.0ms	x	@	inf	(.f64 (-.f64 1 (.f64 y t)) x)

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	17
2	2055	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

412×	`fma-def_binary64`
164×	`fma-neg_binary64`
52×	`distribute-rgt-in_binary64`
51×	`associate-l_binary64`
46×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	406
1	30	370
2	71	370
3	142	370
4	180	370
5	308	370
6	628	370
7	811	370
8	1029	370
9	1207	370

Stop Event

1×

saturated

Counts

95 → 57

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 y (*.f64 t x))) x)
✓	5.6b	(.f64 y (.f64 t x))

Compiler

Compiled 34 to 14 computations (58.8% saved)

series10.0ms (0%)

Counts

2 → 18

Calls

18 calls:

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

rewrite65.0ms (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)))))

simplify28.0ms (0.1%)

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)))

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`pow1_binary64`
535×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
521×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1470	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-def_binary64`
805×	`distribute-rgt-neg-out_binary64`
672×	`distribute-lft-neg-out_binary64`
503×	`unsub-neg_binary64`
436×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	309
1	130	309
2	356	308
3	1460	300
4	4224	300

Stop Event

1×	node limit

Counts

47 → 22

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series10.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
1.0ms	b	@	0	(expm1.f64 (*.f64 b a))
1.0ms	x	@	0	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))
1.0ms	a	@	0	(expm1.f64 (*.f64 b a))
0.0ms	x	@	inf	(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))

rewrite71.0ms (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
(expm1.f64 (*.f64 b a))
(+.f64 1 (expm1.f64 (*.f64 b a)))
(.f64 x (+.f64 1 (expm1.f64 (.f64 b a))))

Outputs

((#(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 (expm1.f64 (*.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 (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))))))))

((#(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 (exp.f64 b) a)))) (#(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 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))))))

simplify150.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary64`
371×	`associate-l_binary64`
369×	`distribute-rgt-in_binary64`
333×	`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	1960	860
4	3300	842
5	4009	836
6	4894	836
7	6787	798

Stop Event

1×	node limit

Counts

164 → 107

Calls

Call 1

Inputs
(*.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)
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)))

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

eval136.0ms (0.5%)

Compiler: Compiled 7271 to 3027 computations (58.4% saved)

prune154.0ms (0.5%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	493	6	499
Fresh	1	6	7
Picked	1	0	1
Done	2	4	6
Total	497	16	513

Error

Counts

513 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
✓	24.7b	(*.f64 x (pow.f64 z y))
	44.2b	(.f64 x (exp.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 y (-.f64 (log.f64 z) t))) 2) (*.f64 a (-.f64 (neg.f64 z) b)))))
	33.3b	(.f64 x (exp.f64 (.f64 a (neg.f64 z))))
▶	39.2b	(.f64 (exp.f64 (.f64 a b)) x)
	42.0b	(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
	42.9b	(.f64 x (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (log1p.f64 z) b) a) 2))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 z) b) a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 z) b) a)))))
	55.6b	(.f64 (.f64 y (neg.f64 t)) x)
▶	29.2b	(.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)))))
✓	22.5b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
▶	38.3b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
▶	55.7b	(.f64 t (.f64 y (neg.f64 x)))
▶	54.9b	(.f64 -1 (.f64 y (*.f64 t x)))
✓	20.5b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
✓	42.0b	(.f64 (-.f64 1 (.f64 y t)) x)
	41.7b	x

Compiler

Compiled 465 to 328 computations (29.5% saved)

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (log.f64 z) t)))) 1) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
✓	0.3b	(exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t))))
✓	4.1b	(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)
	8.0b	(log.f64 (-.f64 1 z))

Compiler

Compiled 132 to 55 computations (58.3% saved)

series246.0ms (0.9%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
122.0ms	z	@	0	(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)
53.0ms	z	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)
17.0ms	z	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)
14.0ms	y	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)
13.0ms	y	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)

rewrite294.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`fma-def_binary64`
426×	`fma-neg_binary64`
341×	`log1p-udef_binary64`
340×	`expm1-udef_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	395	41
2	5402	39

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs

(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)

(exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 y (-.f64 (log.f64 z) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) y) (*.f64 (neg.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 z)) (*.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 (log.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 z) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) t) 2)) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 2) (+.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 2) -1) (/.f64 1 (+.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) t) 2))) (cbrt.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 z) t) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 z) t) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 2) (+.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 1)) (expm1.f64 (*.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 y (-.f64 (log.f64 z) t) 1) 1) (+.f64 (pow.f64 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simplify183.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

644×	`times-frac_binary64`
623×	`distribute-rgt-in_binary64`
615×	`distribute-lft-in_binary64`
405×	`fma-def_binary64`
227×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4132
1	976	3550
2	3722	3092

Stop Event

1×	node limit

Counts

315 → 310

Calls

Call 1

Inputs
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)))) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)))) (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 3)) (+.f64 (.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 3)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 z) t) 3)))) (pow.f64 y 3))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)))) (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 3)) (+.f64 (.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 3)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 z) t) 3)))) (pow.f64 y 3)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/8 (pow.f64 (-.f64 (log.f64 z) t) 4)) (+.f64 (.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 4)) (+.f64 (.f64 1/24 (pow.f64 (-.f64 (log.f64 z) t) 4)) (*.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 4)))))))))
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) 1)
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) (.f64 (-.f64 (log.f64 z) t) y)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t))))) 1)
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) (.f64 (-.f64 (log.f64 z) t) y)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t))))) 1)
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(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (.f64 (-.f64 (log.f64 z) t) y)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (.f64 (-.f64 (log.f64 z) t) y)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (.f64 (-.f64 (log.f64 z) t) y)))) 1)
(+.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 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2))) (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2)))) (.f64 (+.f64 (*.f64 y (log.f64 z)) 1) (pow.f64 t 2))))))
(+.f64 (.f64 -1 (.f64 y t)) (+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2))) (.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2)))) (.f64 (+.f64 (.f64 y (log.f64 z)) 1) (pow.f64 t 2))) (.f64 (+.f64 (.f64 y (log.f64 z)) 1) (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3))) (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3)))))))))))
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (*.f64 -1 y))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 y (log.f64 z)) 1) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y))))) (*.f64 y t))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (pow.f64 y 2))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (pow.f64 y 2))))) (pow.f64 t 2)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 y (log.f64 z)) 1) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y))))) (.f64 y t)))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (pow.f64 y 2))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (pow.f64 y 2))))) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3) (pow.f64 y 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3) (pow.f64 y 3))) (.f64 -1/6 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3) (pow.f64 y 3))))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y))))) (pow.f64 t 3)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 y (log.f64 z)) 1) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (log.f64 (.f64 -1 y))))) (*.f64 y t))))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (/.f64 1 y) (log.f64 z))) t)))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (/.f64 1 y) (log.f64 z))) t)) (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (pow.f64 y 2))) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 y) (log.f64 z)) 2)))) (pow.f64 t 2))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (/.f64 1 y) (log.f64 z))) t)) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (pow.f64 y 2))) (.f64 1/2 (pow.f64 (+.f64 (/.f64 1 y) (log.f64 z)) 2)))) (pow.f64 t 2)) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (log.f64 y))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 3) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) 1) 2) (+.f64 (/.f64 1 y) (log.f64 z))) (pow.f64 y 2))) (*.f64 1/6 (pow.f64 (+.f64 (/.f64 1 y) (log.f64 z)) 3))))) (pow.f64 t 3))))))) 1)
(*.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))
(+.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))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (.f64 (log.f64 (-.f64 1 z)) a) (.f64 y (-.f64 (log.f64 z) t)))
(+.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 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(.f64 -1 (.f64 a b))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))

Outputs
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)))) (.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)))) (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 3)) (+.f64 (.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 3)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 z) t) 3)))) (pow.f64 y 3))))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)) (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 2)))) (+.f64 (.f64 (-.f64 (log.f64 z) t) y) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 3)) (+.f64 (.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 3)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 z) t) 3)))) (pow.f64 y 3)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/8 (pow.f64 (-.f64 (log.f64 z) t) 4)) (+.f64 (.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 4)) (+.f64 (.f64 1/24 (pow.f64 (-.f64 (log.f64 z) t) 4)) (*.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 4)))))))))
(fma.f64 (.f64 y y) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) 0) (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 (fma.f64 -1/2 (pow.f64 (-.f64 (log.f64 z) t) 3) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) 1/2)) (pow.f64 y 3) (.f64 (pow.f64 y 4) (fma.f64 1/8 (pow.f64 (-.f64 (log.f64 z) t) 4) (fma.f64 1/3 (pow.f64 (-.f64 (log.f64 z) t) 4) (*.f64 (pow.f64 (-.f64 (log.f64 z) t) 4) -11/24)))))))
(fma.f64 (.f64 y y) 0 (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 (.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) 0) (pow.f64 y 3) (.f64 (pow.f64 y 4) (fma.f64 1/8 (pow.f64 (-.f64 (log.f64 z) t) 4) (.f64 (pow.f64 (-.f64 (log.f64 z) t) 4) -1/8))))))
(fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 (-.f64 (log.f64 z) t) 4) 0) 0))
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) 1)
(expm1.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (-.f64 (log.f64 z) t))))
(fma.f64 y (-.f64 (log.f64 z) t) -1)
(fma.f64 (-.f64 (log.f64 z) t) y -1)
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) (.f64 (-.f64 (log.f64 z) t) y)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t))))) 1)
(*.f64 (-.f64 (log.f64 z) t) y)
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) (.f64 (-.f64 (log.f64 z) t) y)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t))))) 1)
(*.f64 (-.f64 (log.f64 z) t) y)
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t)))) (.f64 (-.f64 (log.f64 z) t) y)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 (log.f64 z) t))))) 1)
(*.f64 (-.f64 (log.f64 z) t) y)
(-.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) 1)
(expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 (log.f64 z) t)))))
(fma.f64 (pow.f64 (/.f64 -1 y) -1) (neg.f64 (-.f64 (log.f64 z) t)) -1)
(+.f64 -1 (/.f64 (neg.f64 (-.f64 (log.f64 z) t)) (/.f64 -1 y)))
(-.f64 (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (/.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (log.f64 z) t))))) (*.f64 (-.f64 (log.f64 z) t) y))) 1)
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 (log.f64 z) t))))) (-.f64 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (-.f64 (log.f64 z) t))))) (*.f64 (-.f64 (log.f64 z) t) y)) 1))
(+.f64 -1 (fma.f64 (pow.f64 (/.f64 -1 y) -1) (neg.f64 (-.f64 (log.f64 z) t)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 y) -1) (-.f64 (log.f64 z) t)) (/.f64 (neg.f64 (-.f64 (log.f64 z) t)) y))))
(+.f64 (/.f64 (neg.f64 (-.f64 (log.f64 z) t)) (/.f64 -1 y)) (fma.f64 (/.f64 (/.f64 1 (/.f64 -1 y)) y) -1 -1))
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(.f64 -1 (.f64 a b))
(neg.f64 (*.f64 b a))
(*.f64 a (neg.f64 b))
(*.f64 b (neg.f64 a))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 (-.f64 1 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 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 (-.f64 1 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 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 (-.f64 1 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 -1 (.f64 a b))
(neg.f64 (*.f64 b a))
(*.f64 a (neg.f64 b))
(*.f64 b (neg.f64 a))
(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (+.f64 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 (-.f64 1 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 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 (-.f64 1 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 (.f64 a (log.f64 (-.f64 1 z))) (.f64 -1 (.f64 a b))))
(fma.f64 (-.f64 (log.f64 (-.f64 1 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))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(.f64 t (.f64 y (neg.f64 x)))

Compiler

Compiled 21 to 9 computations (57.1% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
565×	`add-log-exp_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`
552×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	7
2	1867	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify195.0ms (0.7%)

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

48 → 14

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)))

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.6b	(.f64 y (.f64 t x))

Compiler

Compiled 25 to 11 computations (56% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 x (.f64 x (.f64 y t))))
✓	0.0b	(+.f64 x (.f64 x (.f64 y t)))
✓	2.7b	(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
✓	5.6b	(.f64 x (.f64 y t))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series10.0ms (0%)

Counts

4 → 144

Calls

36 calls:

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

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	227	34
2	3388	32

Stop Event

1×	node limit

Counts

4 → 344

Calls

Call 1

Inputs
(.f64 x (.f64 y t))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1)
(+.f64 x (.f64 x (.f64 y t)))
(+.f64 1 (+.f64 x (.f64 x (.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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) t) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) t) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) t) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) t) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.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)) 2) 1/2)))) (#(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 y) t) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 y t)))))))) (#(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 exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y t))) 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 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 (.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 x 1) (fma.f64 x (.f64 y t) -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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simplify124.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

349×	`fma-def_binary64`
269×	`fma-neg_binary64`
63×	`cancel-sign-sub-inv_binary64`
62×	`associate-l_binary64`
55×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	1320
1	50	1088
2	115	1088
3	274	1088
4	538	1088
5	952	1088
6	1186	1088
7	1342	1088
8	1357	1088

Stop Event

1×

saturated

Counts

488 → 246

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 9 computations (59.1% saved)

series11.0ms (0%)

Counts

2 → 28

Calls

15 calls:

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

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	372
1	114	368
2	344	352
3	1564	346
4	2697	346
5	4847	346
6	5595	346

Stop Event

1×	node limit

Counts

62 → 50

Calls

Call 1

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

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

eval309.0ms (1.1%)

Compiler: Compiled 16784 to 8904 computations (46.9% saved)

prune143.0ms (0.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	682	2	684
Fresh	3	4	7
Picked	1	0	1
Done	4	4	8
Total	690	10	700

Error

Counts

700 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	42.3b	(.f64 x (+.f64 1 (.f64 -1 (*.f64 a b))))
✓	24.7b	(*.f64 x (pow.f64 z y))
	1.7b	(.f64 x (exp.f64 (+.f64 (-.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) 1) 1) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
	42.9b	(.f64 x (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (log1p.f64 z) b) a) 2))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 z) b) a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 z) b) a)))))
✓	42.0b	(.f64 (-.f64 1 (.f64 y t)) x)
	21.0b	(-.f64 1 1)
✓	20.5b	(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
	42.0b	(-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x)))))
✓	22.5b	(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
	41.7b	x

Compiler

Compiled 166 to 117 computations (29.5% saved)

regimes146.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

12 calls:

15.0ms	z
15.0ms	y
15.0ms	t
14.0ms	a
14.0ms	x

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	`(.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 478 to 281 computations (41.2% saved)

regimes233.0ms (0.8%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

12 calls:

60.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
41.0ms	y
34.0ms	a
19.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
13.0ms	x

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`y`
1.7b	1	`z`
1.7b	1	`t`
0.0b	2	`a`
1.7b	1	`b`
1.7b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
1.7b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
0.6b	2	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.6b	2	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.6b	2	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`
0.6b	2	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`

Compiler

Compiled 370 to 236 computations (36.2% saved)

bsearch150.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
149.0ms	1.1056159681072163e+83	9.814536526567198e+91

Compiler

Compiled 384 to 313 computations (18.5% saved)

regimes233.0ms (0.8%)

Counts

21 → 2

Calls

Call 1

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

Calls

11 calls:

45.0ms	t
44.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
41.0ms	y
22.0ms	a
17.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`y`
1.7b	1	`z`
1.7b	1	`t`
0.0b	2	`a`
1.7b	1	`b`
1.7b	1	`(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))`
0.6b	2	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.6b	2	`(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))`
0.6b	2	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`
0.6b	2	`(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))`

Compiler

Compiled 324 to 207 computations (36.1% saved)

bsearch301.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
301.0ms	1.1056159681072163e+83	9.814536526567198e+91

Compiler

Compiled 348 to 277 computations (20.4% saved)

regimes686.0ms (2.4%)

Counts

20 → 3

Calls

Call 1

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

Outputs
(-.f64 1 1)
(.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z)))))
(-.f64 1 1)

Calls

6 calls:

151.0ms	x
148.0ms	a
112.0ms	t
111.0ms	z
102.0ms	b

Results

Error	Segments	Branch
12.3b	8	`x`
3.6b	3	`y`
11.6b	6	`z`
9.3b	4	`t`
6.2b	5	`a`
9.3b	5	`b`

Compiler

Compiled 196 to 117 computations (40.3% saved)

bsearch439.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
240.0ms	2.1966945034967214e-41	7.588348709331804e-34
199.0ms	-4.1144384480857626e-14	-7.4400849990758755e-25

Compiler

Compiled 527 to 443 computations (15.9% saved)

regimes661.0ms (2.4%)

Counts

17 → 4

Calls

Call 1

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

Outputs
(-.f64 1 1)
(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
(.f64 x (exp.f64 (.f64 b (neg.f64 a))))
(-.f64 1 1)

Calls

6 calls:

156.0ms	a
153.0ms	x
118.0ms	t
102.0ms	z
72.0ms	y

Results

Error	Segments	Branch
15.2b	6	`x`
4.0b	4	`y`
11.4b	8	`z`
10.0b	4	`t`
8.4b	4	`a`
10.8b	3	`b`

Compiler

Compiled 169 to 103 computations (39.1% saved)

bsearch693.0ms (2.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
183.0ms	2.1966945034967214e-41	7.588348709331804e-34
294.0ms	-8.314917090118043e-109	-9.749251419110436e-117
215.0ms	-4.637664153279963e-7	-1.5734960013381164e-7

Compiler

Compiled 621 to 517 computations (16.7% saved)

regimes288.0ms (1%)

Counts

15 → 5

Calls

Call 1

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

Outputs
(-.f64 1 1)
(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
(.f64 x (exp.f64 (.f64 a (neg.f64 z))))
(.f64 x (exp.f64 (.f64 y (neg.f64 t))))
(-.f64 1 1)

Calls

6 calls:

75.0ms	t
59.0ms	z
57.0ms	x
39.0ms	y
27.0ms	a

Results

Error	Segments	Branch
16.2b	6	`x`
9.0b	5	`y`
14.8b	5	`z`
12.3b	4	`t`
9.4b	3	`a`
10.8b	3	`b`

Compiler

Compiled 154 to 94 computations (39% saved)

bsearch1.0s (3.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
196.0ms	1.1265464464276505e-48	6.275161525373789e-43
361.0ms	1.431902863670808e-177	5.688362546360645e-171
383.0ms	-8.250349660561805e-201	-1.0120352877941983e-203
103.0ms	-4.637664153279963e-7	-1.5734960013381164e-7

Compiler

Compiled 845 to 693 computations (18% saved)

regimes406.0ms (1.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

6 calls:

117.0ms	t
99.0ms	z
61.0ms	b
59.0ms	y
34.0ms	a

Results

Error	Segments	Branch
17.4b	4	`x`
11.1b	3	`y`
14.7b	7	`z`
13.1b	5	`t`
10.9b	3	`a`
11.1b	7	`b`

Compiler

Compiled 147 to 92 computations (37.4% saved)

bsearch328.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
172.0ms	9.164930298569892e+41	9.59543860496103e+53
156.0ms	-168496.6710173807	-72.19242284343811

Compiler

Compiled 429 to 367 computations (14.5% saved)

regimes235.0ms (0.8%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

6 calls:

58.0ms	b
41.0ms	y
40.0ms	t
39.0ms	a
28.0ms	z

Results

Error	Segments	Branch
19.1b	3	`x`
11.5b	7	`y`
18.6b	5	`z`
16.4b	7	`t`
16.5b	7	`a`
14.7b	9	`b`

Compiler

Compiled 122 to 80 computations (34.4% saved)

bsearch1.4s (5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
163.0ms	1.1265464464276505e-48	6.275161525373789e-43
396.0ms	1.7298377334902942e-127	5.614384187557645e-125
390.0ms	2.938085869073293e-241	4.186792285078308e-239
48.0ms	-5.969231034961329e-301	-2.2217569099938047e-303
206.0ms	-1.5804349812551786e-102	-2.138819538593569e-106
200.0ms	-4.1144384480857626e-14	-7.4400849990758755e-25

Compiler

Compiled 951 to 820 computations (13.8% saved)

regimes259.0ms (0.9%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

6 calls:

58.0ms	y
52.0ms	b
45.0ms	x
38.0ms	a
37.0ms	t

Results

Error	Segments	Branch
19.2b	3	`x`
11.6b	7	`y`
18.6b	5	`z`
16.4b	7	`t`
16.5b	7	`a`
14.8b	9	`b`

Compiler

Compiled 107 to 74 computations (30.8% saved)

bsearch1.6s (5.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
156.0ms	1.1265464464276505e-48	6.275161525373789e-43
238.0ms	1.7298377334902942e-127	5.614384187557645e-125
373.0ms	2.938085869073293e-241	4.186792285078308e-239
114.0ms	-5.969231034961329e-301	-2.2217569099938047e-303
311.0ms	-1.5804349812551786e-102	-2.138819538593569e-106
416.0ms	-4.1144384480857626e-14	-7.4400849990758755e-25

Compiler

Compiled 895 to 799 computations (10.7% saved)

regimes194.0ms (0.7%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

6 calls:

50.0ms	b
36.0ms	a
35.0ms	t
26.0ms	y
25.0ms	z

Results

Error	Segments	Branch
19.2b	3	`x`
13.3b	5	`y`
18.6b	5	`z`
16.4b	7	`t`
16.5b	7	`a`
14.8b	9	`b`

Compiler

Compiled 96 to 68 computations (29.2% saved)

bsearch997.0ms (3.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
241.0ms	1.1265464464276505e-48	6.275161525373789e-43
238.0ms	1.7298377334902942e-127	5.614384187557645e-125
320.0ms	2.938085869073293e-241	4.186792285078308e-239
196.0ms	-4.1144384480857626e-14	-7.4400849990758755e-25

Compiler

Compiled 747 to 671 computations (10.2% saved)

regimes726.0ms (2.6%)

Accuracy

Total -48.9b remaining (-364.6%)

Threshold costs -48.9b (-364.6%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(-.f64 1 1)
x
(-.f64 1 1)
x
(-.f64 1 1)

Calls

6 calls:

267.0ms	b
211.0ms	t
80.0ms	a
61.0ms	z
57.0ms	x

Results

Error	Segments	Branch
19.3b	3	`x`
13.4b	5	`y`
18.6b	5	`z`
16.4b	7	`t`
16.5b	7	`a`
15.9b	7	`b`

Compiler

Compiled 71 to 55 computations (22.5% saved)

bsearch1.1s (4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
159.0ms	1.1265464464276505e-48	6.275161525373789e-43
238.0ms	1.7298377334902942e-127	5.614384187557645e-125
314.0ms	2.938085869073293e-241	4.186792285078308e-239
412.0ms	-4.1144384480857626e-14	-7.4400849990758755e-25

Compiler

Compiled 645 to 603 computations (6.5% saved)

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

158×	`distribute-rgt-neg-in_binary64`
115×	`cancel-sign-sub-inv_binary64`
99×	`distribute-lft-neg-out_binary64`
97×	`distribute-lft-neg-in_binary64`
88×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	465
1	184	465
2	239	465
3	277	465
4	312	465
5	352	465
6	397	465
7	505	465
8	632	465
9	804	465
10	978	465
11	1126	465
12	1177	465
13	1182	465

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 a 112000000000000001293550548496057590096907021526990094016648959554497865038002388992) (.f64 x (exp.f64 (+.f64 (-.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) 1) 1) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (-.f64 1 1))
(if (<=.f64 a 112000000000000001293550548496057590096907021526990094016648959554497865038002388992) (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (-.f64 1 1))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z))))) (-.f64 1 1)))
(if (<=.f64 y -3022314549036573/18889465931478580854784) (-.f64 1 1) (if (<=.f64 y -4336527155264031/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) (-.f64 1 1))))
(if (<=.f64 y -3022314549036573/18889465931478580854784) (-.f64 1 1) (if (<=.f64 y -5653543569679537/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 6091515412016939/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 x (exp.f64 (.f64 a (neg.f64 z)))) (if (<=.f64 y 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (-.f64 1 1)))))
(if (<=.f64 a -74) (-.f64 1 1) (if (<=.f64 a 950000000000000057362845038319508477021361913303400448) (*.f64 x (pow.f64 z y)) (-.f64 1 1)))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x))))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (.f64 (-.f64 1 (.f64 y t)) x) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (.f64 (-.f64 1 (.f64 y t)) x) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) x (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))
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 a 112000000000000001293550548496057590096907021526990094016648959554497865038002388992) (.f64 x (exp.f64 (+.f64 (-.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) 1) 1) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (-.f64 1 1))
(if (<=.f64 a 112000000000000001293550548496057590096907021526990094016648959554497865038002388992) (.f64 x (exp.f64 (+.f64 (+.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) 1) -1) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) 0)
(if (<=.f64 a 112000000000000001293550548496057590096907021526990094016648959554497865038002388992) (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (-.f64 1 1))
(if (<=.f64 a 112000000000000001293550548496057590096907021526990094016648959554497865038002388992) (.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) 0)
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 b z))))) (-.f64 1 1)))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 a (neg.f64 (+.f64 z b))))) 0))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 (neg.f64 a) (+.f64 z b)))) 0))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 (+.f64 z b) (neg.f64 a)))) 0))
(if (<=.f64 y -3022314549036573/18889465931478580854784) (-.f64 1 1) (if (<=.f64 y -4336527155264031/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) (-.f64 1 1))))
(if (<=.f64 y -3022314549036573/18889465931478580854784) 0 (if (<=.f64 y -4336527155264031/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) 0)))
(if (<=.f64 y -3022314549036573/18889465931478580854784) 0 (if (<=.f64 y -4336527155264031/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 b (neg.f64 a)))) 0)))
(if (<=.f64 y -3022314549036573/18889465931478580854784) 0 (if (<=.f64 y -4336527155264031/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 4384504911992709/5846006549323611672814739330865132078623730171904) (.f64 x (exp.f64 (.f64 a (neg.f64 b)))) 0)))
(if (<=.f64 y -3022314549036573/18889465931478580854784) (-.f64 1 1) (if (<=.f64 y -5653543569679537/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 6091515412016939/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 x (exp.f64 (.f64 a (neg.f64 z)))) (if (<=.f64 y 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (-.f64 1 1)))))
(if (<=.f64 y -3022314549036573/18889465931478580854784) 0 (if (<=.f64 y -5653543569679537/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) (if (<=.f64 y 6091515412016939/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 x (exp.f64 (.f64 a (neg.f64 z)))) (if (<=.f64 y 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024) (.f64 x (exp.f64 (.f64 y (neg.f64 t)))) 0))))
(if (<=.f64 y -3022314549036573/18889465931478580854784) 0 (if (<=.f64 y -5653543569679537/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) (if (<=.f64 y 6091515412016939/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 x (exp.f64 (.f64 a (neg.f64 z)))) (if (<=.f64 y 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024) (.f64 x (exp.f64 (.f64 t (neg.f64 y)))) 0))))
(if (<=.f64 a -74) (-.f64 1 1) (if (<=.f64 a 950000000000000057362845038319508477021361913303400448) (*.f64 x (pow.f64 z y)) (-.f64 1 1)))
(if (<=.f64 a -74) 0 (if (<=.f64 a 950000000000000057362845038319508477021361913303400448) (*.f64 x (pow.f64 z y)) 0))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 1/2 x))))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (+.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) -1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (-.f64 x (.f64 (.f64 y t) (-.f64 x (.f64 (.f64 y t) (*.f64 x 1/2))))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) 0 (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x 0))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (+.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) -1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (-.f64 x (.f64 (.f64 y t) (+.f64 x (.f64 (.f64 y t) (*.f64 x -1/2))))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) 0 (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x 0))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (+.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) -1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (+.f64 x (.f64 (.f64 y t) (-.f64 (.f64 (.f64 y t) (*.f64 x 1/2)) x))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) 0 (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x 0))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (.f64 (-.f64 1 (.f64 y t)) x) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y -7817358029364665/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) x (if (<=.f64 y -7201348614621775/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (+.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 y t)))) -1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (.f64 x (-.f64 1 (.f64 y t))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) 0 (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x 0))))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (.f64 (-.f64 1 (.f64 y t)) x) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (.f64 x (-.f64 1 (.f64 y t))) (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) 0 (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x 0))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) (-.f64 1 1) (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) x (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (-.f64 1 1) (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x (-.f64 1 1)))))
(if (<=.f64 y -1624177331542419/39614081257132168796771975168) 0 (if (<=.f64 y 2346099009001469/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) x (if (<=.f64 y 8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) 0 (if (<=.f64 y 1945901537969871/3138550867693340381917894711603833208051177722232017256448) x 0))))
x

Compiler

Compiled 390 to 278 computations (28.7% saved)

soundness72.0ms (0.3%)

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

end226.0ms (0.8%)

Compiler: Compiled 324 to 197 computations (39.2% 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