Details

analyze481.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
1.6%	1.6%	98.2%	0.2%	0%	0%	0%	9
2.3%	2.3%	97.5%	0.2%	0%	0%	0%	10
11.7%	11.7%	88.1%	0.2%	0%	0%	0%	11
13.1%	12.3%	81.3%	0.2%	0%	6.2%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample6.0s (34.8%)

Results

2.0s	1676×	body	8192	exit
1.4s	1878×	body	1024	valid
996.0ms	4658×	body	256	valid
651.0ms	1427×	body	512	valid
371.0ms	1992×	body	256	invalid
281.0ms	293×	body	2048	valid
103.0ms	209×	body	1024	invalid
101.0ms	258×	body	512	invalid
4.0ms	31×	body	256	infinite

Bogosity

preprocess103.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

694×	`sub-neg_binary64`
471×	`div-sub_binary64`
471×	`fma-neg_binary64`
400×	`fma-def_binary64`
318×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	140
1	94	126
2	235	119
3	504	119
4	1097	98
5	2406	98
6	3782	98
7	5051	98
8	6671	98
9	7684	98
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) -1))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 z (exp.f64 y) (neg.f64 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) t) t)) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 t)) y)) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

735×	`div-sub_binary64`
611×	`fma-def_binary64`
545×	`sub-neg_binary64`
473×	`associate-/l*_binary64`
373×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	23	18
2	48	17
3	96	17
4	206	14
5	427	14
6	727	14
7	915	14
8	1032	14
9	1246	14
10	1756	14
11	3370	14
12	4326	14
13	4949	14
14	5748	14
15	6517	14
16	7072	14
17	7614	14
18	7912	14

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

eval1.0ms (0%)

Compiler: Compiled 60 to 33 computations (45% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

1.4b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓	0.0b	(*.f64 y (expm1.f64 z))
✓	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	3.3b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

Compiler

Compiled 35 to 9 computations (74.3% saved)

series94.0ms (0.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
32.0ms	z	@	-inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
24.0ms	z	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
16.0ms	t	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
7.0ms	t	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
2.0ms	x	@	0	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

rewrite116.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`prod-diff_binary64`
547×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
286×	`pow2_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	210	39
2	2856	39

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
419×	`fma-def_binary64`
316×	`log-prod_binary64`
304×	`associate-r_binary64`
282×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	692	10647
1	1864	8548
2	6758	8460

Stop Event

1×	node limit

Counts

365 → 447

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (.f64 y z) t))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (.f64 y z) t)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/24 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 (.f64 12 (pow.f64 y 3)) (+.f64 (.f64 -4 (pow.f64 y 2)) (.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(+.f64 (.f64 (-.f64 (exp.f64 z) 1) y) (.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))
(+.f64 (.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (.f64 -1 (log.f64 (/.f64 1 y)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 1/2 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 y (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (.f64 1/2 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 y (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y))) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 12 (pow.f64 y 3)) (+.f64 (.f64 -4 (pow.f64 y 2)) (.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
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(fma.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) 2) (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)

Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (.f64 y y)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) t) (.f64 (/.f64 (expm1.f64 z) t) y))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3) t) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))
(fma.f64 1/3 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3) t) (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3) t) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3) t) (fma.f64 -1/2 (/.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) t) (.f64 (/.f64 (expm1.f64 z) t) y))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))))
(+.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/2 (.f64 t (pow.f64 (.f64 (expm1.f64 z) y) 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))) (/.f64 1/3 (.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3) t))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))) (-.f64 (/.f64 1/3 (.f64 t (pow.f64 (.f64 (expm1.f64 z) y) 3))) (/.f64 1/2 (.f64 t (pow.f64 (.f64 (expm1.f64 z) y) 2))))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))))
(+.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (.f64 t (pow.f64 (.f64 (expm1.f64 z) y) 2)))))
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(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(+.f64 (.f64 0 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(+.f64 (.f64 0 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) 2) (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (.f64 0 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (.f64 0 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (.f64 0 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 (expm1.f64 z) y)) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))) (.f64 0 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

eval137.0ms (0.8%)

Compiler: Compiled 12775 to 4421 computations (65.4% saved)

prune108.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	428	19	447
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	428	20	448

Error

0.2b

Counts

448 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
	46.4b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
	25.7b	(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (.f64 z z))) x) (*.f64 (/.f64 y t) z))
▶	25.8b	(-.f64 x (/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t))
	14.9b	(-.f64 x (/.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (cbrt.f64 (.f64 t t))) (cbrt.f64 t)))
	6.7b	(-.f64 x (/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3)) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t))
	13.8b	(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
	8.4b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
	18.2b	(-.f64 x (/.f64 (*.f64 z y) t))
	19.5b	(-.f64 x (/.f64 (log1p.f64 (fma.f64 z y (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (.f64 y (*.f64 (pow.f64 z 3) 1/6)))))) t))
	19.5b	(-.f64 x (/.f64 (log1p.f64 (+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))) t))
	19.2b	(-.f64 x (/.f64 (log1p.f64 (+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶	8.5b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
	17.6b	(-.f64 x (/.f64 y (/.f64 t z)))
	7.5b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
▶	18.2b	(-.f64 x (*.f64 (/.f64 y t) z))
▶	1.5b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	13.8b	(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
	17.1b	x

Compiler

Compiled 682 to 457 computations (33% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	0.0b	(*.f64 y (expm1.f64 z))
	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	3.4b	(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
0.0ms	y	@	inf	(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))
0.0ms	y	@	-inf	(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))
0.0ms	z	@	0	(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))
0.0ms	y	@	inf	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
604×	`log-prod_binary64`
314×	`pow2_binary64`
244×	`fma-def_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	247	25
2	3176	25

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

Inputs
(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))
(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))

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

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simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

492×	`unswap-sqr_binary64`
421×	`fma-neg_binary64`
222×	`+-commutative_binary64`
222×	`sub-neg_binary64`
209×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	632	6825
1	1684	6125
2	5030	5468

Stop Event

1×	node limit

Counts

288 → 343

Calls

Call 1

Inputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(/.f64 (*.f64 y z) t)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (.f64 y z) t))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (.f64 y z) t)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/24 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 (.f64 12 (pow.f64 y 3)) (+.f64 (.f64 -4 (pow.f64 y 2)) (.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))))
(-.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(-.f64 x (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t))
(+.f64 0 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z))))))
(/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z))))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (.f64 -1 (log1p.f64 (.f64 y (expm1.f64 z)))) (neg.f64 t))
(/.f64 (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) -1) (neg.f64 t))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) 1) (/.f64 1 t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (.f64 (log.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1))
(+.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(+.f64 x (.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (fma.f64 -1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(+.f64 0 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) x)
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) x)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x) (.f64 x x))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) 2) (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(fma.f64 (.f64 (/.f64 -1 t) 1) (log1p.f64 (.f64 y (expm1.f64 z))) x)
(fma.f64 (.f64 (/.f64 -1 t) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)
(fma.f64 (.f64 (/.f64 -1 t) (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)

Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (.f64 y y)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (.f64 y y)) (/.f64 (*.f64 (expm1.f64 z) y) t))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (.f64 y y))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (.f64 y y)) (/.f64 (.f64 (expm1.f64 z) y) t)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (.f64 y y)))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (.f64 y y)) (/.f64 (*.f64 (expm1.f64 z) y) t))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y)))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t))) (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 t (pow.f64 y 3))))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y))))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))) (-.f64 (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 t (pow.f64 y 3)))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y)))))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 1/3 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))) (/.f64 -1/2 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (*.f64 y y))))))
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(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) 2) (cbrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) (sqrt.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (.f64 (/.f64 -1 t) 1) (log1p.f64 (.f64 y (expm1.f64 z))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (.f64 (/.f64 -1 t) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (.f64 (/.f64 -1 t) (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(*.f64 (/.f64 y t) z)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (/.f64 y t) z)
1.0ms	y	@	inf	(*.f64 (/.f64 y t) z)
1.0ms	z	@	inf	(*.f64 (/.f64 y t) z)
1.0ms	z	@	0	(*.f64 (/.f64 y t) z)
1.0ms	t	@	0	(*.f64 (/.f64 y t) z)

rewrite40.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 y t) z)

Outputs

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

687×	`log-prod_binary64`
409×	`associate-l_binary64`
376×	`associate-r_binary64`
291×	`log-div_binary64`
291×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	413
1	153	413
2	553	413
3	3905	413

Stop Event

1×	node limit

Counts

59 → 25

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 z (/.f64 t y))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 1 (/.f64 t (*.f64 y z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y z) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) 1) t)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (*.f64 (/.f64 y t) z) 1)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y t) 3) (pow.f64 z 3)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y t) 3)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
✓	2.0b	(/.f64 (expm1.f64 z) (/.f64 t y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series24.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(/.f64 (expm1.f64 z) (/.f64 t y))
1.0ms	z	@	0	(/.f64 (expm1.f64 z) (/.f64 t y))
1.0ms	t	@	inf	(/.f64 (expm1.f64 z) (/.f64 t y))
0.0ms	z	@	inf	(/.f64 (expm1.f64 z) (/.f64 t y))
0.0ms	z	@	-inf	(/.f64 (expm1.f64 z) (/.f64 t y))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
572×	`log-prod_binary64`
280×	`pow2_binary64`
233×	`fma-def_binary64`
208×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	200	21
2	3006	21

Stop Event

1×	node limit

Counts

2 → 256

Calls

Call 1

Inputs
(/.f64 (expm1.f64 z) (/.f64 t y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))

Outputs

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t)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) (sqrt.f64 (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
467×	`times-frac_binary64`
255×	`cube-prod_binary64`
229×	`exp-prod_binary64`
229×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	8786
1	1590	6821
2	5249	6821

Stop Event

1×	node limit

Counts

340 → 322

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)) (+.f64 (.f64 -1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) x)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
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(fma.f64 1 x (.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1))
(fma.f64 1 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 1 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 1 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 1 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 1 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 1 (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) 2) (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) x)
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) (sqrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(fma.f64 -1 (*.f64 (expm1.f64 z) (/.f64 y t)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2)) (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(fma.f64 (neg.f64 (/.f64 (expm1.f64 z) t)) y x)

Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))
(fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (/.f64 (*.f64 y z) t))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (/.f64 (*.f64 y z) t)))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
(fma.f64 1/24 (.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (/.f64 (.f64 y z) t))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
x
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(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (*.f64 (expm1.f64 z) (+.f64 (/.f64 (neg.f64 y) t) (/.f64 y t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x)))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) 2) (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) (sqrt.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 -1 (*.f64 (expm1.f64 z) (/.f64 y t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (/.f64 y t)) (expm1.f64 z) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (*.f64 (expm1.f64 z) (+.f64 (/.f64 (neg.f64 y) t) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (*.f64 (expm1.f64 z) (+.f64 (/.f64 (neg.f64 y) t) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (*.f64 (expm1.f64 z) (+.f64 (/.f64 (neg.f64 y) t) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (+.f64 (.f64 (expm1.f64 z) (neg.f64 (/.f64 y t))) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (*.f64 (expm1.f64 z) (+.f64 (/.f64 (neg.f64 y) t) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (*.f64 (expm1.f64 z) (+.f64 (/.f64 (neg.f64 y) t) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2)) (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 (neg.f64 (/.f64 (expm1.f64 z) t)) y x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2)))
✓	0.0b	(-.f64 y (*.f64 y y))
✓	6.8b	(/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t)
✓	9.4b	(.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))

Compiler

Compiled 86 to 28 computations (67.4% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))
1.0ms	t	@	0	(/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t)
1.0ms	z	@	0	(.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))
1.0ms	y	@	inf	(.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))
1.0ms	y	@	-inf	(/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t)

rewrite172.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`prod-diff_binary64`
677×	`log-prod_binary64`
352×	`fma-def_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	263	64
2	3613	64

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

Inputs
(.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t)
(-.f64 y (*.f64 y y))
(fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sqrt.f64 (.f64 (-.f64 y (.f64 y y)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) 1/2) 2) (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z z) 3) (pow.f64 (.f64 (-.f64 y (.f64 y y)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) 1/2) 3) (pow.f64 (.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 z) (log.f64 (.f64 (-.f64 y (.f64 y y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 z) (log.f64 (.f64 (-.f64 y (.f64 y y)) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))) (cbrt.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)) (pow.f64 (cbrt.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)) 2) (cbrt.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 2) (.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)) (sqrt.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 2) 1) (/.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 1) (/.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 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simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-neg_binary64`
324×	`log-prod_binary64`
301×	`associate-r_binary64`
259×	`associate-l_binary64`
246×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	5950
1	1293	5256
2	4760	5119

Stop Event

1×	node limit

Counts

312 → 338

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (.f64 1/2 (.f64 y (pow.f64 z 2))))
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(.f64 1/2 (/.f64 (.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(.f64 1/2 (/.f64 (.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (pow.f64 z 2)) t)))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (pow.f64 z 2)) z)) t)
(+.f64 (/.f64 (.f64 y (+.f64 (.f64 1/2 (pow.f64 z 2)) z)) t) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y (+.f64 (.f64 1/2 (pow.f64 z 2)) z)) t) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y (+.f64 (.f64 1/2 (pow.f64 z 2)) z)) t) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y))
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(+.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (.f64 y (sqrt.f64 y)) (.f64 (sqrt.f64 y) (*.f64 y (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (.f64 y (sqrt.f64 y)) (.f64 (sqrt.f64 y) (*.f64 y (sqrt.f64 y)))))
(+.f64 (fma.f64 y 1 (neg.f64 (.f64 (cbrt.f64 y) (.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 y (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 y) (.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 y (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (neg.f64 (.f64 (cbrt.f64 y) (.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 y (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 y) (.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 y (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (cbrt.f64 y) (.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 y (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (.f64 (cbrt.f64 y) (.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 y (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 y (.f64 y y)))) (cbrt.f64 (exp.f64 (-.f64 y (.f64 y y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y (.f64 y y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y (.f64 y y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y (.f64 y y))))))
(*.f64 y (-.f64 1 y))
(*.f64 y (+.f64 1 (neg.f64 y)))
(.f64 (-.f64 y (.f64 y y)) 1)
(.f64 1 (-.f64 y (.f64 y y)))
(.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (cbrt.f64 (-.f64 y (*.f64 y y))))
(.f64 (sqrt.f64 (-.f64 y (.f64 y y))) (sqrt.f64 (-.f64 y (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (/.f64 1 (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))))
(.f64 (-.f64 (.f64 y y) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y y)))
(*.f64 (+.f64 (sqrt.f64 y) y) (-.f64 (sqrt.f64 y) y))
(*.f64 (fma.f64 -1 y 1) y)
(/.f64 1 (/.f64 (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3)) (-.f64 (pow.f64 y 3) (pow.f64 y 6))))
(/.f64 1 (/.f64 (fma.f64 y y y) (-.f64 (*.f64 y y) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 y 4)) (fma.f64 y y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 6))) (neg.f64 (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y 4))) (neg.f64 (fma.f64 y y y)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 y (neg.f64 y)) 3)) (fma.f64 y y (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 y (.f64 y (neg.f64 y))))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 y (*.f64 y (neg.f64 y))))
(pow.f64 (-.f64 y (*.f64 y y)) 1)
(pow.f64 (pow.f64 (-.f64 y (*.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 y (*.f64 y y))) 3)
(pow.f64 (sqrt.f64 (-.f64 y (*.f64 y y))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 y (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (*.f64 y y)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 y)) (pow.f64 (exp.f64 y) y)))
(log.f64 (/.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (*.f64 y y)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (*.f64 y y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (.f64 y (neg.f64 y)))))
(log.f64 (*.f64 (exp.f64 y) (/.f64 1 (pow.f64 (exp.f64 y) y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (/.f64 1 (pow.f64 (exp.f64 y) y))))
(log.f64 (.f64 (exp.f64 (.f64 y (neg.f64 y))) (exp.f64 y)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) y)) (exp.f64 y)))
(log.f64 (.f64 (exp.f64 (.f64 y (neg.f64 y))) (+.f64 1 (expm1.f64 y))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) y)) (+.f64 1 (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 y (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 y y))))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 y (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (-.f64 y (.f64 y y))) 1))
(fma.f64 y 1 (*.f64 y (neg.f64 y)))
(fma.f64 y 1 (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 y (neg.f64 y) y)
(fma.f64 y (-.f64 1 y) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 y (-.f64 1 y) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 y (-.f64 1 y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 y (+.f64 1 (neg.f64 y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 y (+.f64 1 (neg.f64 y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 y (+.f64 1 (neg.f64 y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (-.f64 y (.f64 y y)) 1 (fma.f64 (neg.f64 y) y (.f64 y y)))
(fma.f64 (-.f64 y (.f64 y y)) 1 (fma.f64 (.f64 y (neg.f64 y)) 1 (*.f64 y y)))
(fma.f64 (-.f64 y (.f64 y y)) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))
(fma.f64 1 y (*.f64 y (neg.f64 y)))
(fma.f64 1 y (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 1 (-.f64 y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))
(fma.f64 1 (-.f64 y (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (*.f64 y y)))
(fma.f64 1 (-.f64 y (.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))
(fma.f64 1 (*.f64 y (neg.f64 y)) y)
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 (cbrt.f64 y) 2)) y)
(fma.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (cbrt.f64 (-.f64 y (.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (cbrt.f64 (-.f64 y (.f64 y y))) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (.f64 y y))) 2) (cbrt.f64 (-.f64 y (.f64 y y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (-.f64 y (.f64 y y))) (sqrt.f64 (-.f64 y (.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (sqrt.f64 (-.f64 y (.f64 y y))) (sqrt.f64 (-.f64 y (.f64 y y))) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 (sqrt.f64 (-.f64 y (.f64 y y))) (sqrt.f64 (-.f64 y (.f64 y y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (/.f64 1 (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (/.f64 1 (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (/.f64 1 (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (-.f64 (.f64 y y) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))
(fma.f64 (-.f64 (.f64 y y) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (*.f64 y y)))
(fma.f64 (-.f64 (.f64 y y) (pow.f64 y 4)) (/.f64 1 (fma.f64 y y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))
(fma.f64 (neg.f64 y) y y)
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 y))) (cbrt.f64 (.f64 y (neg.f64 y)))) (cbrt.f64 (.f64 y (neg.f64 y))) y)
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 y))) (sqrt.f64 (.f64 y (neg.f64 y))) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 y (neg.f64 y)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 -1 (*.f64 y y) y)
(fma.f64 (+.f64 (sqrt.f64 y) y) (-.f64 (sqrt.f64 y) y) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (+.f64 (sqrt.f64 y) y) (-.f64 (sqrt.f64 y) y) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 (+.f64 (sqrt.f64 y) y) (-.f64 (sqrt.f64 y) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) y)
(fma.f64 (fma.f64 -1 y 1) y (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (fma.f64 -1 y 1) y (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(fma.f64 (fma.f64 -1 y 1) y (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (*.f64 (neg.f64 y) 1) y y)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 y)) (sqrt.f64 y) y)
(+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y))
(+.f64 (.f64 z y) (.f64 z (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))
(+.f64 0 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))
(+.f64 (.f64 (.f64 z y) 1) (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))) (cbrt.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))) 1)
(.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))
(.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2)))) 1)
(.f64 1 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
(.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 2) (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))))
(.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 z y) 3) (pow.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) 3)) (fma.f64 (.f64 z y) (.f64 z y) (-.f64 (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) 1/2) 2) (pow.f64 z 4)) (.f64 (.f64 z y) (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))
(/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (pow.f64 (.f64 (-.f64 y (.f64 y y)) 1/2) 2) (pow.f64 z 4))) (-.f64 (.f64 z y) (.f64 z (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
(pow.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 1)
(pow.f64 (pow.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 3)
(pow.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 2)
(sqrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 2))
(log.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z)) (exp.f64 (.f64 z y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (exp.f64 (.f64 z y))))
(log.f64 (.f64 (exp.f64 (.f64 z y)) (+.f64 1 (expm1.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(log1p.f64 (expm1.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(exp.f64 (log.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))) 1))

Outputs
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y)))
(.f64 1/2 (.f64 z (.f64 z (-.f64 y (.f64 y y)))))
(.f64 1/2 (.f64 (.f64 z z) (-.f64 y (.f64 y y))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y)))
(.f64 1/2 (.f64 z (.f64 z (-.f64 y (.f64 y y)))))
(.f64 1/2 (.f64 (.f64 z z) (-.f64 y (.f64 y y))))
(.f64 1/2 (.f64 (pow.f64 z 2) (-.f64 y (pow.f64 y 2))))
(.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y)))
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(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(pow.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) 2)
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(sqrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 2))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(log.f64 (exp.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y (.f64 y y))) 1/2) (.f64 z z)) (exp.f64 (.f64 z y))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))) (exp.f64 (.f64 z y))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(log.f64 (.f64 (exp.f64 (.f64 z y)) (+.f64 1 (expm1.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(cbrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) 3))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(expm1.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(log1p.f64 (expm1.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(exp.f64 (log.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))))))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (*.f64 y y)) 1/2))))) 1))
(fma.f64 y z (.f64 (.f64 1/2 (.f64 z z)) (-.f64 y (.f64 y y))))
(.f64 z (fma.f64 z (.f64 1/2 (-.f64 y (*.f64 y y))) y))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	0.6b	(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
✓	0.8b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
	3.3b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

Compiler

Compiled 58 to 13 computations (77.6% saved)

series63.0ms (0.4%)

Counts

2 → 72

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
8.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
8.0ms	t	@	inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
6.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`prod-diff_binary64`
616×	`log-prod_binary64`
327×	`pow2_binary64`
268×	`fma-def_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	277	30
2	3340	30

Stop Event

1×	node limit

Counts

2 → 202

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))

Outputs

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simplify281.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

361×	`associate-/r*_binary64`
317×	`*-commutative_binary64`
308×	`times-frac_binary64`
298×	`distribute-rgt-in_binary64`
296×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1091	21696
1	3498	19245

Stop Event

1×	node limit

Counts

274 → 391

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
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(*.f64 (pow.f64 1 1/3) x)
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(.f64 (pow.f64 1 1/3) (-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))))
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(*.f64 (pow.f64 1 1/3) x)
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(*.f64 (pow.f64 1 1/3) x)
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(.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) t) 1/3) (cbrt.f64 -1))
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(pow.f64 x 1/3)
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) 1) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) 1) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) 1) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) 1) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6)) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6)) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6)) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 2) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6)) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6) (+.f64 (/.f64 (neg.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) t) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))
(+.f64 0 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) 1)
(.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 1)
(.f64 1 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 1/6) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3))) (cbrt.f64 (fma.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (.f64 x x))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(exp.f64 (.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 1))

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) t) (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) t) 1/3) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) t) (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t) (fma.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (.f64 (cbrt.f64 -1) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) -1/9))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)))
(-.f64 (fma.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t)) (.f64 (cbrt.f64 -1) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 t 4) (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18) (pow.f64 (/.f64 t (log1p.f64 (.f64 (expm1.f64 z) y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) -1/9))) (.f64 x x) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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(pow.f64 x 1/3)
(cbrt.f64 x)
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(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2))
(fabs.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 1/3))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)))) 1))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))

eval1.4s (8.3%)

Compiler: Compiled 70792 to 31730 computations (55.2% saved)

prune563.0ms (3.3%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1682	21	1703
Fresh	8	6	14
Picked	0	1	1
Done	2	3	5
Total	1692	31	1723

Error

0.2b

Counts

1723 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(pow.f64 (pow.f64 x 1/3) 3)
✓	2.7b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
▶	18.1b	(pow.f64 (cbrt.f64 x) 3)
	46.4b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
	21.2b	(-.f64 x (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
	20.7b	(-.f64 x (/.f64 (fma.f64 z y (.f64 -1/2 (.f64 z (.f64 y (.f64 z y))))) t))
▶	6.7b	(-.f64 x (/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3)) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t))
	25.1b	(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
	25.1b	(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
	18.2b	(-.f64 x (/.f64 (*.f64 z y) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.8b	(-.f64 x (/.f64 z (/.f64 t y)))
▶	17.6b	(-.f64 x (/.f64 y (/.f64 t z)))
▶	27.3b	(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
	21.1b	(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
	20.9b	(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
	22.1b	(-.f64 x (+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))))
	7.5b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
▶	8.7b	(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
✓	18.2b	(-.f64 x (*.f64 (/.f64 y t) z))
	25.8b	(-.f64 x (.f64 (/.f64 1 t) (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
	8.4b	(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
	18.2b	(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
✓	1.5b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	24.3b	(-.f64 x (.f64 (/.f64 1 t) (exp.f64 (log.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
	31.4b	(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
	26.3b	(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
	31.9b	(-.f64 x (log.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))
	50.8b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
	57.5b	(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
	17.1b	x

Compiler

Compiled 972 to 649 computations (33.2% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) y))
✓	3.3b	(/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3)) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t)
✓	3.4b	(log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) y)))
✓	5.3b	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))

Compiler

Compiled 124 to 49 computations (60.5% saved)

series226.0ms (1.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
93.0ms	z	@	-inf	(log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) y)))
50.0ms	t	@	0	(/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3)) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t)
19.0ms	z	@	inf	(log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) y)))
17.0ms	z	@	-inf	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))
15.0ms	z	@	inf	(log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log-prod_binary64`
684×	`fma-def_binary64`
313×	`fma-neg_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	342	82
2	4614	76

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))
(log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) y)))
(/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3)) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t)
(-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) y))

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

simplify197.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-neg_binary64`
541×	`fma-def_binary64`
378×	`associate-l_binary64`
360×	`associate-r_binary64`
312×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	778	11709
1	2151	10240
2	7937	10238

Stop Event

1×	node limit

Counts

323 → 490

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (+.f64 (pow.f64 y 3) (*.f64 1/2 (pow.f64 y 3))) (pow.f64 z 4)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (pow.f64 z 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (+.f64 (pow.f64 y 3) (*.f64 1/2 (pow.f64 y 3))) (pow.f64 z 4))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (+.f64 (.f64 1/24 (pow.f64 y 3)) (+.f64 (.f64 y (+.f64 (.f64 1/12 (pow.f64 y 2)) (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/6 (pow.f64 y 3)))))) (.f64 -360 (pow.f64 y 6))) (pow.f64 z 6))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (pow.f64 z 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (+.f64 (pow.f64 y 3) (.f64 1/2 (pow.f64 y 3))) (pow.f64 z 4)))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 6) (pow.f64 y 6))) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 6) (pow.f64 y 6))) (+.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 9) (pow.f64 y 9)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 12) (pow.f64 y 12))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 6) (pow.f64 y 6))) (+.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) (.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 9) (pow.f64 y 9))))))
(+.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (*.f64 -3 (log.f64 (/.f64 1 y))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 y))) (log.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 y))) (log.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 6) (pow.f64 y 6)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 9) (pow.f64 y 9)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 y))) (log.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 6) (pow.f64 y 6)))))
(+.f64 (log.f64 (.f64 -1 (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (.f64 -3 (log.f64 (/.f64 -1 y))))
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(fma.f64 (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) y) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) y) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (*.f64 (expm1.f64 z) y)))
(fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (.f64 (expm1.f64 z) y)))
(fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) (fma.f64 (neg.f64 y) (expm1.f64 z) (.f64 (expm1.f64 z) y)))
(fma.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) 1 (.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) 1 (.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 1 (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 1 (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 1 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 1 (pow.f64 (.f64 (expm1.f64 z) y) 2) (.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 1 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 1 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 1 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 1 (fma.f64 (*.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) 1) -1)
(fma.f64 1 (.f64 (expm1.f64 z) (neg.f64 y)) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (cbrt.f64 (pow.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 2)) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (cbrt.f64 (pow.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (cbrt.f64 (pow.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 2)) (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 2)) (cbrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 2)) (cbrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1)) 2)) (cbrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4)) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (.f64 (cbrt.f64 (.f64 (expm1.f64 z) y)) (.f64 (expm1.f64 z) y)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (.f64 (cbrt.f64 (.f64 (expm1.f64 z) y)) (.f64 (expm1.f64 z) y)) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4)) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4)) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (sqrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 (sqrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (sqrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (sqrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (sqrt.f64 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1))) (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) y)) (pow.f64 (.f64 (expm1.f64 z) y) 3/2) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) y)) (pow.f64 (.f64 (expm1.f64 z) y) 3/2) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) y)) (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) y))) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y y) (.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y y) (.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2) (.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2) (.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 6) (pow.f64 (.f64 (expm1.f64 z) y) 3)) (/.f64 1 (fma.f64 (fma.f64 (expm1.f64 z) y 1) (pow.f64 (.f64 (expm1.f64 z) y) 2) (pow.f64 (.f64 (expm1.f64 z) y) 4))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 6) (pow.f64 (.f64 (expm1.f64 z) y) 3)) (/.f64 1 (fma.f64 (fma.f64 (expm1.f64 z) y 1) (pow.f64 (.f64 (expm1.f64 z) y) 2) (pow.f64 (.f64 (expm1.f64 z) y) 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 6) (pow.f64 (.f64 (expm1.f64 z) y) 3)) (/.f64 1 (fma.f64 (fma.f64 (expm1.f64 z) y 1) (pow.f64 (.f64 (expm1.f64 z) y) 2) (pow.f64 (.f64 (expm1.f64 z) y) 4))) (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4) (pow.f64 (.f64 (expm1.f64 z) y) 2)) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y 1))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (.f64 (expm1.f64 z) y)))
(fma.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4) (pow.f64 (.f64 (expm1.f64 z) y) 2)) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 4) (pow.f64 (.f64 (expm1.f64 z) y) 2)) (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y 1))) (fma.f64 (neg.f64 y) (expm1.f64 z) (*.f64 (expm1.f64 z) y)))
(fma.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3/2) (sqrt.f64 (.f64 (expm1.f64 z) y)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3/2) (sqrt.f64 (.f64 (expm1.f64 z) y)) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (neg.f64 (expm1.f64 z)) y (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 y))) (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 y)))) (cbrt.f64 (.f64 (expm1.f64 z) (neg.f64 y))) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) 1)) (cbrt.f64 (fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) 1))) (cbrt.f64 (fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) 1)) -1)
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) (neg.f64 y))) (sqrt.f64 (.f64 (expm1.f64 z) (neg.f64 y))) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) 1)) (sqrt.f64 (fma.f64 (.f64 (expm1.f64 z) y) (fma.f64 (expm1.f64 z) y -1) 1)) -1)
(fma.f64 (neg.f64 y) (expm1.f64 z) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) y))) (sqrt.f64 (.f64 (expm1.f64 z) y)) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2))) (cbrt.f64 (.f64 (expm1.f64 z) y)) (pow.f64 (*.f64 (expm1.f64 z) y) 2))
(fma.f64 -1 (.f64 (expm1.f64 z) y) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 (expm1.f64 z) y))) (-.f64 (.f64 (expm1.f64 z) y) (sqrt.f64 (.f64 (expm1.f64 z) y))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (*.f64 (expm1.f64 z) y)))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 (expm1.f64 z) y))) (-.f64 (.f64 (expm1.f64 z) y) (sqrt.f64 (.f64 (expm1.f64 z) y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (.f64 (expm1.f64 z) y)))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 (expm1.f64 z) y))) (-.f64 (.f64 (expm1.f64 z) y) (sqrt.f64 (.f64 (expm1.f64 z) y))) (fma.f64 (neg.f64 y) (expm1.f64 z) (.f64 (expm1.f64 z) y)))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) 1) y (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (expm1.f64 z)) y (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (expm1.f64 z)) y (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) y) (expm1.f64 z) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) y) (expm1.f64 z) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2))) (cbrt.f64 (.f64 (expm1.f64 z) y)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2))) (cbrt.f64 (.f64 (expm1.f64 z) y)) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))

Outputs
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (+.f64 (pow.f64 y 3) (*.f64 1/2 (pow.f64 y 3))) (pow.f64 z 4)))
(fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (.f64 3/2 (pow.f64 y 3)) (pow.f64 z 4)))
(fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 3/2 (.f64 (pow.f64 y 3) (pow.f64 z 4))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (pow.f64 z 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (+.f64 (pow.f64 y 3) (*.f64 1/2 (pow.f64 y 3))) (pow.f64 z 4))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) 7/12) y (.f64 (pow.f64 y 3) 2/3)) (pow.f64 z 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (*.f64 3/2 (pow.f64 y 3)) (pow.f64 z 4))))
(fma.f64 (fma.f64 (pow.f64 y 3) 2/3 (.f64 (pow.f64 y 3) 7/12)) (pow.f64 z 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 3/2 (*.f64 (pow.f64 y 3) (pow.f64 z 4)))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (+.f64 (.f64 1/24 (pow.f64 y 3)) (+.f64 (.f64 y (+.f64 (.f64 1/12 (pow.f64 y 2)) (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/6 (pow.f64 y 3)))))) (.f64 -360 (pow.f64 y 6))) (pow.f64 z 6))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (pow.f64 z 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (+.f64 (pow.f64 y 3) (.f64 1/2 (pow.f64 y 3))) (pow.f64 z 4)))))
(fma.f64 1/720 (.f64 (fma.f64 720 (fma.f64 1/24 (pow.f64 y 3) (fma.f64 y (.f64 1/4 (.f64 y y)) (fma.f64 1/2 (.f64 y (.f64 (.f64 y y) 7/12)) (.f64 (pow.f64 y 3) 1/6)))) (.f64 -360 (pow.f64 y 6))) (pow.f64 z 6)) (fma.f64 (fma.f64 (.f64 (.f64 y y) 7/12) y (.f64 (pow.f64 y 3) 2/3)) (pow.f64 z 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (*.f64 3/2 (pow.f64 y 3)) (pow.f64 z 4)))))
(fma.f64 1/720 (.f64 (fma.f64 720 (+.f64 (fma.f64 1/2 (.f64 (pow.f64 y 3) 7/12) (.f64 (pow.f64 y 3) 1/6)) (fma.f64 (pow.f64 y 3) 1/24 (.f64 (pow.f64 y 3) 1/4))) (.f64 -360 (pow.f64 y 6))) (pow.f64 z 6)) (fma.f64 (fma.f64 (pow.f64 y 3) 2/3 (.f64 (pow.f64 y 3) 7/12)) (pow.f64 z 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 3/2 (.f64 (pow.f64 y 3) (pow.f64 z 4))))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))
(log.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))
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(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2)) (neg.f64 (cbrt.f64 (.f64 y (expm1.f64 z)))) (pow.f64 (*.f64 y (expm1.f64 z)) 2))
(fma.f64 -1 (.f64 (expm1.f64 z) y) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(-.f64 (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 y (expm1.f64 z)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 y (expm1.f64 z) -1)))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 (expm1.f64 z) y))) (-.f64 (.f64 (expm1.f64 z) y) (sqrt.f64 (.f64 (expm1.f64 z) y))) (fma.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1 (*.f64 (expm1.f64 z) y)))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 y (expm1.f64 z)))) (-.f64 (.f64 y (expm1.f64 z)) (sqrt.f64 (.f64 y (expm1.f64 z)))) (fma.f64 (neg.f64 y) (expm1.f64 z) (.f64 y (expm1.f64 z))))
(fma.f64 (fma.f64 y (expm1.f64 z) (sqrt.f64 (.f64 y (expm1.f64 z)))) (-.f64 (.f64 y (expm1.f64 z)) (sqrt.f64 (.f64 y (expm1.f64 z)))) (.f64 0 (*.f64 y (expm1.f64 z))))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 (expm1.f64 z) y))) (-.f64 (.f64 (expm1.f64 z) y) (sqrt.f64 (.f64 (expm1.f64 z) y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2)) (.f64 (expm1.f64 z) y)))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 y (expm1.f64 z)))) (-.f64 (.f64 y (expm1.f64 z)) (sqrt.f64 (.f64 y (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2)) (.f64 y (expm1.f64 z))))
(fma.f64 (fma.f64 y (expm1.f64 z) (sqrt.f64 (.f64 y (expm1.f64 z)))) (-.f64 (.f64 y (expm1.f64 z)) (sqrt.f64 (.f64 y (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2)) (.f64 y (expm1.f64 z))))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 (expm1.f64 z) y))) (-.f64 (.f64 (expm1.f64 z) y) (sqrt.f64 (.f64 (expm1.f64 z) y))) (fma.f64 (neg.f64 y) (expm1.f64 z) (.f64 (expm1.f64 z) y)))
(fma.f64 (fma.f64 (expm1.f64 z) y (sqrt.f64 (.f64 y (expm1.f64 z)))) (-.f64 (.f64 y (expm1.f64 z)) (sqrt.f64 (.f64 y (expm1.f64 z)))) (fma.f64 (neg.f64 y) (expm1.f64 z) (.f64 y (expm1.f64 z))))
(fma.f64 (fma.f64 y (expm1.f64 z) (sqrt.f64 (.f64 y (expm1.f64 z)))) (-.f64 (.f64 y (expm1.f64 z)) (sqrt.f64 (.f64 y (expm1.f64 z)))) (.f64 0 (*.f64 y (expm1.f64 z))))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) 1) y (pow.f64 (.f64 (expm1.f64 z) y) 2))
(-.f64 (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 y (expm1.f64 z)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 y (expm1.f64 z) -1)))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 y (expm1.f64 z)) 2))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 (expm1.f64 z) y) 2))
(fma.f64 (.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 y (expm1.f64 z)) 2))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (expm1.f64 z)) y (*.f64 (expm1.f64 z) (neg.f64 y)))
(-.f64 (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 y (expm1.f64 z)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 y (expm1.f64 z) -1)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (expm1.f64 z)) y (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(-.f64 (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 y (expm1.f64 z)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 y (expm1.f64 z) -1)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) y) (expm1.f64 z) (*.f64 (expm1.f64 z) (neg.f64 y)))
(-.f64 (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 y (expm1.f64 z)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 y (expm1.f64 z) -1)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) y) (expm1.f64 z) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(-.f64 (.f64 (.f64 y y) (pow.f64 (expm1.f64 z) 2)) (*.f64 y (expm1.f64 z)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 y (expm1.f64 z) -1)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2))) (cbrt.f64 (.f64 (expm1.f64 z) y)) (*.f64 (expm1.f64 z) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2)) (.f64 (.f64 y (expm1.f64 z)) (cbrt.f64 (.f64 y (expm1.f64 z)))) (*.f64 (expm1.f64 z) (neg.f64 y)))
(-.f64 (.f64 (expm1.f64 z) (.f64 (.f64 y (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2))) (cbrt.f64 (.f64 y (expm1.f64 z))))) (.f64 y (expm1.f64 z)))
(fma.f64 (.f64 (.f64 (expm1.f64 z) y) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2))) (cbrt.f64 (.f64 (expm1.f64 z) y)) (.f64 (.f64 (expm1.f64 z) (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2)) (.f64 (.f64 y (expm1.f64 z)) (cbrt.f64 (.f64 y (expm1.f64 z)))) (*.f64 (expm1.f64 z) (neg.f64 y)))
(-.f64 (.f64 (expm1.f64 z) (.f64 (.f64 y (cbrt.f64 (pow.f64 (.f64 y (expm1.f64 z)) 2))) (cbrt.f64 (.f64 y (expm1.f64 z))))) (.f64 y (expm1.f64 z)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(/.f64 y (/.f64 t z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

839×	`log-div_binary64`
661×	`log-prod_binary64`
492×	`associate-*l/_binary64`
436×	`fma-def_binary64`
434×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	618
1	295	606
2	1006	606
3	5764	606

Stop Event

1×	node limit

Counts

77 → 50

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
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(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(-.f64 (+.f64 1 (*.f64 y (/.f64 z t))) 1)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 z (/.f64 y t))
(*.f64 z (/.f64 y t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(.f64 (.f64 y (/.f64 z t)) 1)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 1 (.f64 y (/.f64 z t)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (cbrt.f64 (.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 z t)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (sqrt.f64 (.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 z t)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 z t) y)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 y t) z)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (cbrt.f64 (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 (/.f64 t z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (.f64 y (/.f64 z t))))
(*.f64 (cbrt.f64 (/.f64 y (/.f64 t z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)))
(.f64 (cbrt.f64 (.f64 y (/.f64 z t))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)))
(/.f64 (cbrt.f64 (*.f64 z (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (cbrt.f64 (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 (/.f64 t z))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 t z))) (sqrt.f64 (/.f64 t z)))
(/.f64 y (*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 t z))) (sqrt.f64 (/.f64 t z)))
(/.f64 y (*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z))))
(*.f64 (/.f64 y 1) (/.f64 z t))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (.f64 (/.f64 y t) 1) z)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (.f64 (/.f64 y t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(.f64 (.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(pow.f64 (*.f64 y (/.f64 z t)) 1)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(pow.f64 (/.f64 t (*.f64 y z)) -1)
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(neg.f64 (/.f64 y (/.f64 (neg.f64 t) z)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 t z) 3)))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))
(exp.f64 (log.f64 (*.f64 y (/.f64 z t))))
(/.f64 y (/.f64 t z))
(*.f64 y (/.f64 z t))
(*.f64 z (/.f64 y t))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z))))
✓	1.6b	(.f64 z (.f64 (*.f64 y y) z))
✓	7.0b	(/.f64 t (.f64 z (.f64 (*.f64 y y) z)))
✓	7.1b	(.f64 (.f64 y y) z)

Compiler

Compiled 57 to 14 computations (75.4% saved)

series15.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
437×	`exp-prod_binary64`
359×	`pow-prod-down_binary64`
276×	`pow2_binary64`
269×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	218	37
2	2943	37

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 y (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 y z)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 y z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y z))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 t (pow.f64 (.f64 y z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (pow.f64 (.f64 y z) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (pow.f64 (.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t (pow.f64 (.f64 y z) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 t (pow.f64 (.f64 y z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 t (pow.f64 (.f64 y z) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 4)) (cbrt.f64 (.f64 t (pow.f64 (.f64 y z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) (pow.f64 (.f64 y z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (/.f64 (sqrt.f64 t) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (pow.f64 (.f64 y z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 t) (/.f64 1 (neg.f64 (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y z) -2) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t z) (pow.f64 (.f64 y (sqrt.f64 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (/.f64 t (.f64 y (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) z) (/.f64 (cbrt.f64 t) (.f64 y (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 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exp.f64 (.f64 (.f64 (log.f64 (.f64 t (pow.f64 (*.f64 y z) -2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 y z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y z) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y z) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 2 (log.f64 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 y z)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 y z))))) (sqrt.f64 (.f64 2 (log.f64 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 y z))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y z) 2) (/.f64 -1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 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(/.f64 -1/2 t)) (.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 t (pow.f64 (.f64 y z) -2)) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2)))) 1) 1))))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
405×	`associate-/r/_binary64`
355×	`associate-/l/_binary64`
312×	`log-prod_binary64`
227×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	351	3661
1	825	3007
2	2650	3007

Stop Event

1×	node limit

Counts

266 → 178

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) t))
(+.f64 0 (.f64 y (.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y z)))) 1)
(pow.f64 (.f64 y (.f64 y z)) 1)
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y z))) 3)
(pow.f64 (*.f64 y (sqrt.f64 z)) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 y (.f64 y z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 y z)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 y z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 y z)))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 4))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 6))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y z))))
(exp.f64 (log.f64 (.f64 y (.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y z))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y z))) 1) 1))
(+.f64 0 (.f64 t (pow.f64 (.f64 y z) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (pow.f64 (.f64 y z) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 t (pow.f64 (.f64 y z) -2)))) 1)
(.f64 t (pow.f64 (.f64 y z) -2))
(.f64 (.f64 t (pow.f64 (*.f64 y z) -2)) 1)
(.f64 1 (.f64 t (pow.f64 (*.f64 y z) -2)))
(.f64 (cbrt.f64 (.f64 t (pow.f64 (.f64 y z) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 4)) (cbrt.f64 (.f64 t (pow.f64 (.f64 y z) -2))))
(.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) (pow.f64 (*.f64 y z) -2)))
(.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (pow.f64 (*.f64 y z) -2)))
(.f64 (neg.f64 t) (/.f64 1 (neg.f64 (pow.f64 (.f64 y z) 2))))
(.f64 (pow.f64 (.f64 y z) -2) t)
(.f64 (/.f64 t z) (pow.f64 (.f64 y (sqrt.f64 z)) -2))
(.f64 (/.f64 1 z) (/.f64 t (.f64 y (*.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) z) (/.f64 (cbrt.f64 t) (.f64 y (*.f64 y z))))
(.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (sqrt.f64 t) (.f64 y (*.f64 y z))))
(.f64 (/.f64 (sqrt.f64 t) (.f64 y (*.f64 y z))) (/.f64 (sqrt.f64 t) z))
(.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -2) (/.f64 t z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 y (*.f64 y z))) (/.f64 (cbrt.f64 t) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (pow.f64 (.f64 y z) 2)))
(.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (pow.f64 (.f64 y z) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 y z) 4))) (/.f64 t (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (pow.f64 (.f64 y z) 4))) (cbrt.f64 (.f64 t (pow.f64 (.f64 y z) -2))))
(.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 (pow.f64 (.f64 y z) 4))) (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(.f64 (/.f64 1 (.f64 y z)) (/.f64 t (*.f64 y z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 y z)) (/.f64 (cbrt.f64 t) (*.f64 y z)))
(pow.f64 (.f64 t (pow.f64 (.f64 y z) -2)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 t (pow.f64 (.f64 y z) -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 y z) 2) t) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 t (pow.f64 (.f64 y z) -2))))
(pow.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 y z) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y z) 2) t) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t (pow.f64 (.f64 y z) -2)))) 2)) (cbrt.f64 (log.f64 (.f64 t (pow.f64 (.f64 y z) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t (pow.f64 (.f64 y z) -2))))) (sqrt.f64 (log.f64 (.f64 t (pow.f64 (.f64 y z) -2)))))
(neg.f64 (/.f64 t (neg.f64 (pow.f64 (*.f64 y z) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4))
(log.f64 (pow.f64 (exp.f64 t) (pow.f64 (*.f64 y z) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (pow.f64 (.f64 y z) -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 6))
(cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 y z) 6)))
(expm1.f64 (log1p.f64 (.f64 t (pow.f64 (.f64 y z) -2))))
(log1p.f64 (expm1.f64 (.f64 t (pow.f64 (.f64 y z) -2))))
(exp.f64 (log.f64 (.f64 t (pow.f64 (.f64 y z) -2))))
(exp.f64 (.f64 (log.f64 (.f64 t (pow.f64 (*.f64 y z) -2))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 t (pow.f64 (*.f64 y z) -2)))) 3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 t) (.f64 y z))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 y z) 2) t)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 t (pow.f64 (.f64 y z) -2))) 1) 1))
(+.f64 0 (pow.f64 (*.f64 y z) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y z) 2))) 1)
(pow.f64 (pow.f64 (*.f64 y z) 2) 1)
(pow.f64 (pow.f64 (*.f64 y z) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 y z) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 3)
(pow.f64 (*.f64 y z) 2)
(pow.f64 (exp.f64 1) (.f64 2 (log.f64 (.f64 y z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 y z)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 y z))))) (sqrt.f64 (.f64 2 (log.f64 (.f64 y z)))))
(sqrt.f64 (pow.f64 (*.f64 y z) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 y z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 y z) 2))))
(cbrt.f64 (pow.f64 (*.f64 y z) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y z) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y z) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 y z))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 y z))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2)) 3))
(exp.f64 (.f64 (log.f64 (.f64 y z)) 2))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 y z))) 1) 1))
(+.f64 0 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (.f64 y z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))) 1)
(.f64 (pow.f64 (.f64 y z) 2) (/.f64 -1/2 t))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2))) 1)
(.f64 1 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2))))
(.f64 (cbrt.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (.f64 y z)) 4))) (cbrt.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) (.f64 (sqrt.f64 (/.f64 -1/2 t)) (*.f64 y z)))
(.f64 1/2 (/.f64 1 (.f64 t (neg.f64 (pow.f64 (*.f64 y z) -2)))))
(.f64 (/.f64 (pow.f64 (.f64 y z) 2) t) -1/2)
(.f64 (/.f64 -1/2 t) (pow.f64 (.f64 y z) 2))
(.f64 (/.f64 -1/2 (neg.f64 t)) (neg.f64 (pow.f64 (.f64 y z) 2)))
(.f64 (/.f64 -1/2 (/.f64 t z)) (.f64 y (*.f64 y z)))
(.f64 (.f64 (/.f64 -1/2 t) z) (.f64 y (.f64 y z)))
(.f64 (.f64 (/.f64 -1/2 t) (.f64 y (.f64 y z))) z)
(.f64 (.f64 (/.f64 -1/2 t) 1) (pow.f64 (*.f64 y z) 2))
(.f64 (.f64 (/.f64 -1/2 t) (cbrt.f64 (pow.f64 (.f64 y z) 4))) (pow.f64 (cbrt.f64 (.f64 y z)) 2))
(.f64 (.f64 (/.f64 -1/2 t) (.f64 y z)) (.f64 y z))
(pow.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))) 1)
(pow.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) 6) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))) 3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) 2)
(pow.f64 (.f64 (.f64 t (pow.f64 (*.f64 y z) -2)) -2) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(pow.f64 (/.f64 (.f64 (.f64 t (pow.f64 (*.f64 y z) -2)) -2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))) (sqrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (*.f64 y z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) 6))
(expm1.f64 (log1p.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(log1p.f64 (expm1.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(exp.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(exp.f64 (.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (*.f64 y z)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (*.f64 y z))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 t (pow.f64 (.f64 y z) -2)) -2)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))) 1) 1))

Outputs
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 y (.f64 y z))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(/.f64 (/.f64 t (.f64 y y)) (.f64 z z))
(.f64 t (pow.f64 (.f64 y z) -2))
(/.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
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(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (/.f64 -1/2 t) (pow.f64 (.f64 y z) 2))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (/.f64 -1/2 (neg.f64 t)) (neg.f64 (pow.f64 (.f64 y z) 2)))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (/.f64 -1/2 (/.f64 t z)) (.f64 y (*.f64 y z)))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (.f64 (/.f64 -1/2 t) z) (.f64 y (.f64 y z)))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (.f64 (/.f64 -1/2 t) (.f64 y (.f64 y z))) z)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (.f64 (/.f64 -1/2 t) 1) (pow.f64 (*.f64 y z) 2))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(.f64 (.f64 (/.f64 -1/2 t) (cbrt.f64 (pow.f64 (.f64 y z) 4))) (pow.f64 (cbrt.f64 (.f64 y z)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 y z) 4)) (/.f64 -1/2 t)))
(.f64 (cbrt.f64 (pow.f64 (.f64 y z) 4)) (.f64 (/.f64 -1/2 t) (pow.f64 (cbrt.f64 (.f64 y z)) 2)))
(.f64 (.f64 (/.f64 -1/2 t) (.f64 y z)) (.f64 y z))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))) 1)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4)) 1/2)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) 6) 1/3)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (cbrt.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))) 3)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) 2)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (.f64 (.f64 t (pow.f64 (*.f64 y z) -2)) -2) -1)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (/.f64 (.f64 (.f64 t (pow.f64 (*.f64 y z) -2)) -2) 1) -1)
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 -1/2 t) (pow.f64 (.f64 y z) -2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 -1/2 t) (pow.f64 (.f64 y z) -2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))) (sqrt.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 -1/2 t) (pow.f64 (.f64 y z) -2))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 -1/2 t) (pow.f64 (.f64 y z) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))))) (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t)))))
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 t)) (pow.f64 (*.f64 y z) 2)))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2))))))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (.f64 y z)) 6))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(expm1.f64 (log1p.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(log1p.f64 (expm1.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2)))) 1))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (*.f64 y z)) 6)) 1/3))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 (.f64 t (pow.f64 (*.f64 y z) -2))))) 3))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 -1/2 t)) (*.f64 y z))) 2))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 t (pow.f64 (.f64 y z) -2)) -2)) -1))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/2 (.f64 t (pow.f64 (.f64 y z) -2)))) 1) 1))
(.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))
(.f64 -1/2 (/.f64 (pow.f64 (.f64 y z) 2) t))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
✓	2.0b	(*.f64 (/.f64 y t) (expm1.f64 z))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
1.0ms	t	@	inf	(*.f64 (/.f64 y t) (expm1.f64 z))
0.0ms	t	@	-inf	(*.f64 (/.f64 y t) (expm1.f64 z))
0.0ms	y	@	0	(*.f64 (/.f64 y t) (expm1.f64 z))
0.0ms	z	@	0	(*.f64 (/.f64 y t) (expm1.f64 z))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
540×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
273×	`pow2_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	197	21
2	2810	21

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

Inputs
(*.f64 (/.f64 y t) (expm1.f64 z))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))

Outputs

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

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

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

464×	`fma-neg_binary64`
390×	`unswap-sqr_binary64`
273×	`distribute-rgt-neg-in_binary64`
172×	`log-prod_binary64`
170×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	3767
1	1307	3667
2	3924	3667

Stop Event

1×	node limit

Counts

276 → 240

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
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(fma.f64 1 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 1 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 1 (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) 2) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) 2) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) 2) (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) 2) (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) 2) (cbrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (sqrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (sqrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (sqrt.f64 (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) (neg.f64 (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) 2) (cbrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) x)
(fma.f64 (sqrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (sqrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) x)
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) x)
(fma.f64 -1 (*.f64 (/.f64 y t) (expm1.f64 z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2)) (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) 1) (expm1.f64 z) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (cbrt.f64 (expm1.f64 z)) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (expm1.f64 z)) x)

Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))
(fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (*.f64 (/.f64 y t) z))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (/.f64 y (/.f64 t z))))
(fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (.f64 (/.f64 y t) z)))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
(fma.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (fma.f64 1/2 (.f64 (/.f64 y t) (*.f64 z z)) (/.f64 y (/.f64 t z)))))
(fma.f64 1/24 (.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (*.f64 (/.f64 y t) z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 y (/.f64 t (expm1.f64 z)))
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3)) (fma.f64 (/.f64 y (/.f64 t (expm1.f64 z))) (fma.f64 y (/.f64 (expm1.f64 z) t) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (*.f64 x x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (*.f64 (/.f64 y t) (expm1.f64 z))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3)) (fma.f64 (/.f64 y (/.f64 t (expm1.f64 z))) (fma.f64 y (/.f64 (expm1.f64 z) t) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (*.f64 x x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (.f64 (/.f64 y t) (expm1.f64 z))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 3)) (fma.f64 (/.f64 y (/.f64 t (expm1.f64 z))) (fma.f64 y (/.f64 (expm1.f64 z) t) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 3)) (fma.f64 (.f64 (/.f64 y t) (expm1.f64 z)) (fma.f64 (/.f64 y t) (expm1.f64 z) x) (*.f64 x x)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (fma.f64 (/.f64 y t) (expm1.f64 z) x))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (fma.f64 (/.f64 y t) (expm1.f64 z) x))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 y t) (expm1.f64 z)) 2)) (/.f64 1 (fma.f64 (/.f64 y t) (expm1.f64 z) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 t (expm1.f64 z))) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y t) (expm1.f64 z)) 2)) (fma.f64 (/.f64 y t) (expm1.f64 z) x))
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) 2) (cbrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (sqrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) (sqrt.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 -1 (*.f64 (/.f64 y t) (expm1.f64 z)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) 1 (.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2) (*.f64 (/.f64 y t) (expm1.f64 z))))
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) 2)) (cbrt.f64 (.f64 (/.f64 y t) (expm1.f64 z))) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) 1) (expm1.f64 z) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (cbrt.f64 (expm1.f64 z)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (expm1.f64 z)) x)
(fma.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 x)
✓	0.8b	(pow.f64 (cbrt.f64 x) 3)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 3)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 3)
0.0ms	x	@	0	(cbrt.f64 x)
0.0ms	x	@	-inf	(cbrt.f64 x)

rewrite40.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

347×	`pow1_binary64`
344×	`add-sqr-sqrt_binary64`
332×	`add-log-exp_binary64`
332×	`log1p-expm1-u_binary64`
332×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	107	4
2	956	4

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 x) 3)
(cbrt.f64 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 7)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3/2) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3/2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) 3/2) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 7) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 8) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 (+.f64 1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 (pow.f64 x 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/6)) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/6) 1/3) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2))))))

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
300×	`associate-+l-_binary64`
247×	`sqr-pow_binary64`
245×	`distribute-rgt-in_binary64`
225×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	4294968058
1	418	760
2	1281	746
3	4858	740

Stop Event

1×	node limit

Counts

81 → 108

Calls

Call 1

Inputs
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
(*.f64 x 1)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2))
(*.f64 1 x)
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x))))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 5/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 x) 3/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 7)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))
(*.f64 (pow.f64 (sqrt.f64 x) 3/2) (pow.f64 x 1/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) 3/2) (pow.f64 x 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 7) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 8) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (.f64 (+.f64 1 x) 1))))
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 (pow.f64 x 5/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x))) 1/3))
(*.f64 (pow.f64 x 1/12) (pow.f64 x 1/4))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))
(*.f64 (cbrt.f64 (pow.f64 x 5/6)) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (cbrt.f64 (pow.f64 x 1/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 x 5/6) 1/3) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) (+.f64 1 (.f64 (+.f64 1 (cbrt.f64 x)) 1))))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3/2)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 1/3) (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))

Outputs
(+.f64 0 x)
x
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 3)
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
x
(.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2))
(*.f64 1 x)
x
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
x
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x (.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x x) 7/6)))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 5/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 5/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 x) 3/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 5/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 7)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 7)))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 5/2))
(*.f64 (pow.f64 (sqrt.f64 x) 3/2) (pow.f64 x 1/4))
(*.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 x) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) 3/2) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 7) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 7)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 8) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (cbrt.f64 (pow.f64 x 5/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (.f64 (+.f64 1 x) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (fma.f64 (+.f64 x 1) (+.f64 x 1) (+.f64 1 (+.f64 x 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (fma.f64 (+.f64 x 1) (+.f64 x 1) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
x
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x
(+.f64 0 (cbrt.f64 x))
(cbrt.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(cbrt.f64 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 (pow.f64 x 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x (cbrt.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 7/6))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x (cbrt.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 7/6))))
(*.f64 (pow.f64 x 1/12) (pow.f64 x 1/4))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))
(*.f64 (cbrt.f64 (pow.f64 x 5/6)) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 x 5/6) 1/3) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) (+.f64 1 (.f64 (+.f64 1 (cbrt.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) -1) (fma.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x)) (+.f64 1 (+.f64 1 (cbrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) -1) (fma.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x)) (+.f64 2 (cbrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) -1) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 2 (cbrt.f64 x)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 x x) 1/6)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 3) 1/9)
(*.f64 (pow.f64 (pow.f64 x 3) 1/18) (pow.f64 (pow.f64 x 3) 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3/2)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (sqrt.f64 x) 2/3)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(pow.f64 (exp.f64 1/3) (log.f64 x))
(cbrt.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x x)))) 3/2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3/2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(cbrt.f64 x)

eval482.0ms (2.8%)

Compiler: Compiled 30689 to 14354 computations (53.2% saved)

prune512.0ms (3%)

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1057	9	1066
Fresh	0	22	22
Picked	1	0	1
Done	1	7	8
Total	1059	38	1097

Error

0.2b

Counts

1097 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(pow.f64 (pow.f64 x 1/3) 3)
✓	2.7b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
	54.1b	(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
	46.4b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶	32.2b	(-.f64 (+.f64 1 x) 1)
	21.2b	(-.f64 x (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
	20.7b	(-.f64 x (/.f64 (fma.f64 z y (.f64 -1/2 (.f64 z (.f64 y (.f64 z y))))) t))
	10.2b	(-.f64 x (/.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 z)) 3) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t))
	25.1b	(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
	25.1b	(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
	18.2b	(-.f64 x (/.f64 (*.f64 z y) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.8b	(-.f64 x (/.f64 z (/.f64 t y)))
✓	17.6b	(-.f64 x (/.f64 y (/.f64 t z)))
✓	27.3b	(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
	21.1b	(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
▶	20.9b	(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
	22.1b	(-.f64 x (+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))))
▶	7.5b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
✓	8.7b	(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
✓	18.2b	(-.f64 x (*.f64 (/.f64 y t) z))
	25.8b	(-.f64 x (.f64 (/.f64 1 t) (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
▶	8.4b	(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
	18.2b	(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
✓	1.5b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	24.3b	(-.f64 x (.f64 (/.f64 1 t) (exp.f64 (log.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
	31.4b	(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
	26.3b	(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
	31.9b	(-.f64 x (log.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))
	43.4b	(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
	50.8b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
	51.7b	(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
	57.5b	(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
	40.9b	(fabs.f64 x)
▶	43.7b	(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
	43.5b	(exp.f64 (log.f64 x))
	46.8b	(cbrt.f64 (pow.f64 x 3))
	17.1b	x

Compiler

Compiled 1082 to 751 computations (30.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
✓	0.0b	(/.f64 (expm1.f64 z) t)
✓	2.3b	(*.f64 (/.f64 (expm1.f64 z) t) y)

Compiler

Compiled 28 to 8 computations (71.4% saved)

series8.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(/.f64 (expm1.f64 z) t)
0.0ms	z	@	inf	(/.f64 (expm1.f64 z) t)
0.0ms	z	@	0	(/.f64 (expm1.f64 z) t)
0.0ms	t	@	-inf	(/.f64 (expm1.f64 z) t)
0.0ms	t	@	0	(/.f64 (expm1.f64 z) t)

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
540×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
273×	`pow2_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	197	27
2	2812	27

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))

Outputs

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

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#<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) (sqrt.f64 y)) (sqrt.f64 y) x)))))

simplify184.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

536×	`fma-neg_binary64`
247×	`log-prod_binary64`
237×	`div-sub_binary64`
235×	`cube-prod_binary64`
224×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	591	6465
1	1533	5592
2	5006	5422

Stop Event

1×	node limit

Counts

340 → 326

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 z t)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (.f64 1/6 (/.f64 (pow.f64 z 3) t))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))))
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(/.f64 (-.f64 (exp.f64 z) 1) t)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)) (+.f64 (.f64 -1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) x)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 0 (*.f64 (/.f64 (expm1.f64 z) t) y))
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(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 (expm1.f64 z) t)) (neg.f64 y))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) (exp.f64 x)))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 z) t)) (neg.f64 y)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))))
(exp.f64 (.f64 (log.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 1))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 x 1 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 x 1 (.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1))
(fma.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) 1 (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) 1 (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 1 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 1 x (.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1))
(fma.f64 1 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 1 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 1 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 1 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 2) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 2) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 2) (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 2) (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) 2) (cbrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (sqrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (sqrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (sqrt.f64 (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) (neg.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 (expm1.f64 z) t) y) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) y) (fma.f64 (/.f64 (expm1.f64 z) t) y x) (.f64 x x))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 (expm1.f64 z) t) y) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) y) (fma.f64 (/.f64 (expm1.f64 z) t) y x) (.f64 x x))) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (/.f64 (expm1.f64 z) t) y) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) y) (fma.f64 (/.f64 (expm1.f64 z) t) y x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 (expm1.f64 z) t) y) 2)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 z) t) y x)) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 (expm1.f64 z) t) y) 2)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 z) t) y x)) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 (expm1.f64 z) t) y) 2)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 z) t) y x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) 2) (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) x)
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) x)
(fma.f64 -1 (*.f64 (/.f64 (expm1.f64 z) t) y) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2)) (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) 1) y x)
(fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) (sqrt.f64 y)) (sqrt.f64 y) x)

Outputs
(/.f64 (*.f64 y z) t)
(*.f64 (/.f64 y t) z)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))
(fma.f64 1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (*.f64 (/.f64 y t) z))
(fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (*.f64 (/.f64 y t) z))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (.f64 (/.f64 y t) z)))
(fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (.f64 (/.f64 y t) z)))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))))
(fma.f64 1/24 (.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/24 (.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (*.f64 (/.f64 y t) z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (/.f64 y t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 -1 (*.f64 (/.f64 (expm1.f64 z) t) y) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z))))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (/.f64 y (/.f64 t (expm1.f64 z)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (.f64 0 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 1 (.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z))))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (/.f64 y (/.f64 t (expm1.f64 z)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (.f64 0 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (/.f64 t (expm1.f64 z))))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y (/.f64 y (/.f64 t (expm1.f64 z)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (.f64 0 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) 2)) (cbrt.f64 (.f64 (/.f64 (expm1.f64 z) t) y)) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) 1) y x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 x (/.f64 y (/.f64 t (expm1.f64 z))))
(fma.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z) x)

localize31.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 14 to 11 computations (21.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	1
2	1663	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
675×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
370×	`times-frac_binary64`
202×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	235
1	224	214
2	1117	206

Stop Event

1×	node limit

Counts

49 → 44

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 -1 (+.f64 1 x))
x
(+.f64 (+.f64 x -1) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(/.f64 (-.f64 0 (*.f64 x (+.f64 x -2))) (-.f64 2 x))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.9b	(+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))
	4.6b	(/.f64 y (/.f64 t z))
✓	6.3b	(/.f64 y (/.f64 t (*.f64 z z)))
✓	7.4b	(/.f64 t (*.f64 z z))

Compiler

Compiled 73 to 19 computations (74% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log-prod_binary64`
449×	`fma-def_binary64`
300×	`log-div_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	277	37
2	4321	37

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

Outputs

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simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

398×	`log-prod_binary64`
296×	`associate-l_binary64`
290×	`associate-r_binary64`
288×	`cancel-sign-sub-inv_binary64`
248×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	4549
1	1264	4369
2	4817	4328

Stop Event

1×	node limit

Counts

280 → 273

Calls

Call 1

Inputs
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 t (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
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(fma.f64 1 (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)) (/.f64 (.f64 y z) t))
(fma.f64 (cbrt.f64 (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2))) (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2))) 2) (/.f64 (*.f64 y z) t))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2))) 2) (cbrt.f64 (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2))) (/.f64 (*.f64 y z) t))
(fma.f64 (cbrt.f64 (/.f64 (.f64 y z) t)) (pow.f64 (cbrt.f64 (/.f64 (.f64 y z) t)) 2) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 y z) t)) 2) (cbrt.f64 (/.f64 (.f64 y z) t)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 z t)) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 z z) (/.f64 y t))) 2) (.f64 (cbrt.f64 (.f64 (.f64 z z) (/.f64 y t))) 1/2) (/.f64 (.f64 y z) t))
(fma.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (/.f64 y t)) z)) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (/.f64 y t)) z)) (/.f64 (*.f64 y z) t))
(fma.f64 (sqrt.f64 (/.f64 (.f64 y z) t)) (sqrt.f64 (/.f64 (.f64 y z) t)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 z t)) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 y t)) z) (.f64 (.f64 (sqrt.f64 (/.f64 y t)) z) 1/2) (/.f64 (.f64 y z) t))
(fma.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 z t) y (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 y t) z (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2) (/.f64 (*.f64 y z) t))
(fma.f64 (.f64 y 1/2) (.f64 (/.f64 z t) z) (/.f64 (*.f64 y z) t))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (/.f64 (.f64 y z) t)) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 1/2 t) (/.f64 y (pow.f64 z -2)) (/.f64 (*.f64 y z) t))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 t (pow.f64 z -2))) 2)) (/.f64 y (cbrt.f64 (.f64 t (pow.f64 z -2)))) (/.f64 (*.f64 y z) t))
(fma.f64 (/.f64 1/2 (/.f64 (sqrt.f64 t) z)) (/.f64 y (/.f64 (sqrt.f64 t) z)) (/.f64 (*.f64 y z) t))
(fma.f64 (/.f64 y 1) (/.f64 z t) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 y (neg.f64 t)) (neg.f64 z) (.f64 (/.f64 y t) (.f64 (*.f64 z z) 1/2)))
(fma.f64 (/.f64 (.f64 y 1/2) t) (.f64 z z) (/.f64 (*.f64 y z) t))
(fma.f64 (/.f64 (.f64 y 1/2) (/.f64 t z)) z (/.f64 (.f64 y z) t))
(fma.f64 (/.f64 (.f64 y 1/2) 1) (.f64 (/.f64 z t) z) (/.f64 (*.f64 y z) t))
(fma.f64 (/.f64 (.f64 y 1/2) (neg.f64 t)) (.f64 z (neg.f64 z)) (/.f64 (*.f64 y z) t))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (.f64 z z) (/.f64 y t))) 2)) (cbrt.f64 (.f64 (.f64 z z) (/.f64 y t))) (/.f64 (.f64 y z) t))
(fma.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 y t)) z)) (.f64 (sqrt.f64 (/.f64 y t)) z) (/.f64 (.f64 y z) t))
(fma.f64 (.f64 1/2 (/.f64 y t)) (.f64 z z) (/.f64 (*.f64 y z) t))
(fma.f64 (.f64 (/.f64 y t) 1) z (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(fma.f64 (.f64 (/.f64 y t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(fma.f64 (.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))

Outputs
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 t (pow.f64 z 2))
(/.f64 t (*.f64 z z))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
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(/.f64 y (/.f64 t (*.f64 z z)))
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(/.f64 y (/.f64 t (*.f64 z z)))
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(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
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(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 y (pow.f64 z 2)) t)
(.f64 z (.f64 z (/.f64 y t)))
(/.f64 y (/.f64 t (*.f64 z z)))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 y (+.f64 (/.f64 z t) (.f64 1/2 (/.f64 (pow.f64 z 2) t))))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) y)
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (.f64 -1 (/.f64 z t)))))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2)))) t)
(/.f64 (fma.f64 y z (.f64 (.f64 y (*.f64 z z)) 1/2)) t)
(/.f64 (fma.f64 z y (.f64 (.f64 z z) (*.f64 y 1/2))) t)
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 y (pow.f64 z 2))) (.f64 -1 (*.f64 y z))) t))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 y (pow.f64 z 2))) (.f64 -1 (*.f64 y z))) t))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 y (pow.f64 z 2))) (.f64 -1 (*.f64 y z))) t))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 y (pow.f64 z 2))) (.f64 -1 (*.f64 y z))) t))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(/.f64 (*.f64 y z) t)
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(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(fma.f64 (/.f64 (.f64 y 1/2) (neg.f64 t)) (.f64 z (neg.f64 z)) (/.f64 (*.f64 y z) t))
(.f64 (neg.f64 y) (fma.f64 -1/2 (.f64 z (/.f64 z t)) (/.f64 (neg.f64 z) t)))
(.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (.f64 z z) (/.f64 y t))) 2)) (cbrt.f64 (.f64 (.f64 z z) (/.f64 y t))) (/.f64 (.f64 y z) t))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(fma.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 y t)) z)) (.f64 (sqrt.f64 (/.f64 y t)) z) (/.f64 (.f64 y z) t))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(fma.f64 (.f64 1/2 (/.f64 y t)) (.f64 z z) (/.f64 (*.f64 y z) t))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(fma.f64 (.f64 (/.f64 y t) 1) z (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(fma.f64 (.f64 (/.f64 y t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))
(fma.f64 (.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (/.f64 y t) (.f64 (.f64 z z) 1/2)))
(.f64 y (fma.f64 1/2 (.f64 z (/.f64 z t)) (/.f64 z t)))
(.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2))))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
✓	0.2b	(/.f64 (expm1.f64 z) (/.f64 1 y))
✓	3.3b	(*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y)))

Compiler

Compiled 45 to 26 computations (42.2% saved)

series8.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (expm1.f64 z) (/.f64 1 y))
0.0ms	t	@	0	(*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y)))
0.0ms	z	@	inf	(/.f64 (expm1.f64 z) (/.f64 1 y))
0.0ms	z	@	0	(*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y)))
0.0ms	z	@	0	(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))

rewrite134.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`prod-diff_binary64`
683×	`log-prod_binary64`
248×	`fma-def_binary64`
239×	`egg-rr`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	265	27
2	3797	27

Stop Event

1×	node limit

Counts

3 → 329

Calls

Call 1

Inputs
(*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y)))
(/.f64 (expm1.f64 z) (/.f64 1 y))
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))

Outputs

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

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

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x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) y) (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 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simplify191.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

321×	`associate-r_binary64`
313×	`associate-l_binary64`
297×	`associate-/l*_binary64`
232×	`+-commutative_binary64`
226×	`fma-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	874	10918
1	2362	8823

Stop Event

1×	node limit

Counts

437 → 439

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 y z) t)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)) (+.f64 (.f64 -1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) x)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
x
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(+.f64 0 (*.f64 (expm1.f64 z) (/.f64 y t)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (cbrt.f64 (exp.f64 (.f64 (expm1.f64 z) (/.f64 y t)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (expm1.f64 z) (/.f64 y t))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (expm1.f64 z) (/.f64 y t))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (expm1.f64 z) (/.f64 y t))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 1 (/.f64 t y)))
(/.f64 1 (*.f64 t (/.f64 (/.f64 1 y) (expm1.f64 z))))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) t))
(/.f64 1 (/.f64 (/.f64 t y) (expm1.f64 z)))
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 (expm1.f64 z) t)))
(/.f64 (/.f64 1 t) (/.f64 (/.f64 1 y) (expm1.f64 z)))
(/.f64 (expm1.f64 z) (/.f64 t y))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) y)) 2) (/.f64 t (cbrt.f64 (.f64 (expm1.f64 z) y))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (/.f64 (/.f64 t y) (cbrt.f64 (expm1.f64 z))))
(/.f64 (sqrt.f64 (.f64 (expm1.f64 z) y)) (/.f64 t (sqrt.f64 (.f64 (expm1.f64 z) y))))
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 (/.f64 t y) (sqrt.f64 (expm1.f64 z))))
(/.f64 -1 (*.f64 (neg.f64 t) (/.f64 (/.f64 1 y) (expm1.f64 z))))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 y) (expm1.f64 z)) (neg.f64 t)))
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 (/.f64 t y)))
(/.f64 (neg.f64 (expm1.f64 z)) (*.f64 (neg.f64 t) (/.f64 1 y)))
(/.f64 (neg.f64 (expm1.f64 z)) (*.f64 t (/.f64 -1 y)))
(/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 (neg.f64 (/.f64 (expm1.f64 z) t)) (/.f64 -1 y))
(/.f64 (.f64 (neg.f64 (expm1.f64 z)) 1) (.f64 (/.f64 -1 y) t))
(/.f64 (.f64 -1 (neg.f64 (expm1.f64 z))) (.f64 (neg.f64 t) (/.f64 -1 y)))
(/.f64 (.f64 (expm1.f64 z) -1) (.f64 (/.f64 1 y) (neg.f64 t)))
(/.f64 (.f64 (neg.f64 (expm1.f64 z)) -1) (.f64 (/.f64 -1 y) (neg.f64 t)))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (/.f64 (expm1.f64 z) t) 1) (/.f64 1 y))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (/.f64 (/.f64 (expm1.f64 z) t) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (expm1.f64 z) t) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(/.f64 (.f64 -1 (.f64 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 t)) (/.f64 -1 y))
(/.f64 (*.f64 (/.f64 1 t) (neg.f64 (expm1.f64 z))) (/.f64 -1 y))
(/.f64 (.f64 (.f64 (expm1.f64 z) y) -1) (neg.f64 t))
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(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) x)
(fma.f64 -1 (*.f64 (expm1.f64 z) (/.f64 y t)) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) y) x)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) x)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (sqrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) x)
(fma.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2)) (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(fma.f64 (.f64 (/.f64 -1 t) 1) (.f64 (expm1.f64 z) y) x)
(fma.f64 (*.f64 (/.f64 -1 t) (expm1.f64 z)) y x)
(fma.f64 (.f64 (/.f64 -1 t) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) y)) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) y)) x)
(fma.f64 (.f64 (/.f64 -1 t) (sqrt.f64 (.f64 (expm1.f64 z) y))) (sqrt.f64 (*.f64 (expm1.f64 z) y)) x)

Outputs
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))
(fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (*.f64 (/.f64 y t) z))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (.f64 (/.f64 y t) z)))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t) (fma.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
(fma.f64 1/24 (.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (*.f64 (/.f64 y t) z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (.f64 (.f64 1/2 y) (*.f64 z z)))
(fma.f64 1/2 (.f64 z (.f64 z y)) (*.f64 z y))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 1/6 (.f64 y (pow.f64 z 3)))))
(fma.f64 z y (fma.f64 1/2 (.f64 z (.f64 z y)) (.f64 y (.f64 (pow.f64 z 3) 1/6))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 z y (fma.f64 1/2 (.f64 z (.f64 z y)) (fma.f64 1/6 (.f64 y (pow.f64 z 3)) (.f64 y (*.f64 (pow.f64 z 4) 1/24)))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 y (expm1.f64 z))
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(+.f64 (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(-.f64 x (fma.f64 y (/.f64 (expm1.f64 z) t) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(+.f64 (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(-.f64 x (fma.f64 y (/.f64 (expm1.f64 z) t) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(+.f64 (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(-.f64 x (fma.f64 y (/.f64 (expm1.f64 z) t) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(+.f64 (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(-.f64 x (fma.f64 y (/.f64 (expm1.f64 z) t) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t)))))
(fma.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 -1 (*.f64 (expm1.f64 z) (/.f64 y t)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 3)) (/.f64 1 (fma.f64 (.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 3)) (fma.f64 (.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 y (/.f64 (expm1.f64 z) t) x) (*.f64 x x))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 3)) (/.f64 1 (fma.f64 (.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 3)) (fma.f64 (.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 y (/.f64 (expm1.f64 z) t) x) (*.f64 x x))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 (.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 3)) (/.f64 1 (fma.f64 (.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (.f64 x x))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 3)) (fma.f64 (.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 y (/.f64 (expm1.f64 z) t) x) (*.f64 x x))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x)))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (/.f64 1 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(+.f64 (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 (expm1.f64 z) t)) 2)) (fma.f64 y (/.f64 (expm1.f64 z) t) x)))
(fma.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) y) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (sqrt.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (/.f64 -1 t) (.f64 (expm1.f64 z) y) (.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) (*.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (/.f64 (expm1.f64 z) t)))) (.f64 0 (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) 2)) (cbrt.f64 (.f64 (expm1.f64 z) (/.f64 y t))) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (.f64 (/.f64 -1 t) 1) (.f64 (expm1.f64 z) y) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (*.f64 (/.f64 -1 t) (expm1.f64 z)) y x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (.f64 (/.f64 -1 t) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 z) y)) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) y)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)
(fma.f64 (.f64 (/.f64 -1 t) (sqrt.f64 (.f64 (expm1.f64 z) y))) (sqrt.f64 (*.f64 (expm1.f64 z) y)) x)
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(fma.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t) x)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 2/3 (log.f64 x)) 3/2)
✓	0.2b	(*.f64 2/3 (log.f64 x))
✓	2.9b	(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series32.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(*.f64 2/3 (log.f64 x))
12.0ms	x	@	0	(*.f64 2/3 (log.f64 x))
6.0ms	x	@	inf	(*.f64 2/3 (log.f64 x))
0.0ms	x	@	-inf	(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
0.0ms	x	@	0	(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
515×	`add-sqr-sqrt_binary64`
488×	`add-log-exp_binary64`
487×	`log1p-expm1-u_binary64`
487×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	157	10
2	1762	10

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
(*.f64 2/3 (log.f64 x))
(.f64 (.f64 2/3 (log.f64 x)) 3/2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2/3 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (log.f64 x))))))))

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

466×	`log-prod_binary64`
400×	`unswap-sqr_binary64`
331×	`fma-neg_binary64`
283×	`distribute-rgt-in_binary64`
270×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	329
1	236	329
2	958	291
3	4884	291

Stop Event

1×	node limit

Counts

79 → 55

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 1 (-.f64 x 1))
(-.f64 (+.f64 1 x) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (pow.f64 (exp.f64 2/3) (log.f64 x)) 3/2)
(pow.f64 (exp.f64 2/3) (*.f64 (log.f64 x) 3/2))
(pow.f64 (exp.f64 3/2) (*.f64 2/3 (log.f64 x)))
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(-.f64 (+.f64 1 (*.f64 2/3 (log.f64 x))) 1)
(pow.f64 (*.f64 2/3 (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 2/3 (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2/3 (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2/3 (log.f64 x))) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 (log.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 2/3) (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (log.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (log.f64 x))))
(exp.f64 (log.f64 (*.f64 2/3 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(+.f64 0 (log.f64 x))
(-.f64 (+.f64 1 (log.f64 x)) 1)
(pow.f64 (log.f64 x) 1)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x 1))
(exp.f64 (log.f64 (log.f64 x)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(*.f64 -2/3 (log.f64 (/.f64 1 x)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(.f64 2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(log.f64 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(log.f64 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(log.f64 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(log.f64 x)
(+.f64 1 (-.f64 x 1))
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (pow.f64 (exp.f64 2/3) (log.f64 x)) 3/2)
(pow.f64 (exp.f64 2/3) (*.f64 (log.f64 x) 3/2))
(pow.f64 (exp.f64 3/2) (*.f64 2/3 (log.f64 x)))
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 x))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(-.f64 (+.f64 1 (*.f64 2/3 (log.f64 x))) 1)
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(pow.f64 (*.f64 2/3 (log.f64 x)) 1)
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(pow.f64 (pow.f64 (*.f64 2/3 (log.f64 x)) 3) 1/3)
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2/3 (log.f64 x))) 3)
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2/3 (log.f64 x))) 2)
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(sqrt.f64 (*.f64 4/9 (pow.f64 (log.f64 x) 2)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(log.f64 (pow.f64 (exp.f64 2/3) (log.f64 x)))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 2/3 (log.f64 x)) 3))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2/3 (log.f64 x))))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2/3 (log.f64 x))))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(exp.f64 (log.f64 (*.f64 2/3 (log.f64 x))))
(*.f64 -2/3 (neg.f64 (log.f64 x)))
(*.f64 2/3 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(log.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(log.f64 x)
(+.f64 0 (log.f64 x))
(log.f64 x)
(-.f64 (+.f64 1 (log.f64 x)) 1)
(log.f64 x)
(pow.f64 (log.f64 x) 1)
(log.f64 x)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(log.f64 x)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(log.f64 x)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(log.f64 x)
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(log.f64 x)
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(log.f64 x)
(expm1.f64 (log1p.f64 (log.f64 x)))
(log.f64 x)
(log1p.f64 (-.f64 x 1))
(log.f64 x)
(exp.f64 (log.f64 (log.f64 x)))
(log.f64 x)

eval337.0ms (2%)

Compiler: Compiled 28345 to 9762 computations (65.6% saved)

prune305.0ms (1.8%)

Pruning

43 alts after pruning (33 fresh and 10 done)

	Pruned	Kept	Total
New	1176	11	1187
Fresh	4	22	26
Picked	0	1	1
Done	2	9	11
Total	1182	43	1225

Error

0.2b

Counts

1225 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(pow.f64 (pow.f64 x 1/3) 3)
✓	2.7b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
	31.9b	(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
	46.4b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
✓	32.2b	(-.f64 (+.f64 1 x) 1)
	20.7b	(-.f64 x (/.f64 (fma.f64 z y (.f64 -1/2 (.f64 z (.f64 y (.f64 z y))))) t))
	7.5b	(-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y)))
	10.2b	(-.f64 x (/.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 z)) 3) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t))
	25.1b	(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
	25.1b	(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
	18.2b	(-.f64 x (/.f64 (*.f64 z y) t))
	8.5b	(-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (*.f64 t (/.f64 -1 y))))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.8b	(-.f64 x (/.f64 z (/.f64 t y)))
✓	17.6b	(-.f64 x (/.f64 y (/.f64 t z)))
	7.5b	(-.f64 x (/.f64 1 (/.f64 (/.f64 1 y) (/.f64 (expm1.f64 z) t))))
✓	27.3b	(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
	21.1b	(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
	24.8b	(-.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 y (/.f64 z t))) 1) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
✓	7.5b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
	21.6b	(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2)))))
✓	8.7b	(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
✓	18.2b	(-.f64 x (*.f64 (/.f64 y t) z))
	25.8b	(-.f64 x (.f64 (/.f64 1 t) (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
	18.2b	(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
✓	1.5b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	24.3b	(-.f64 x (.f64 (/.f64 1 t) (exp.f64 (log.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
	21.2b	(-.f64 x (.f64 (+.f64 (fma.f64 1/2 (/.f64 (.f64 z z) t) (/.f64 z t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))) y))
	21.2b	(-.f64 x (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (.f64 1/24 (/.f64 (pow.f64 z 4) t)) (.f64 1/6 (/.f64 (pow.f64 z 3) t))))) y))
	27.3b	(-.f64 x (.f64 y (/.f64 1/2 (/.f64 t (.f64 z z)))))
	20.3b	(-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
	26.3b	(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
	31.9b	(-.f64 x (log.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))
	43.4b	(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
	50.8b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
	51.7b	(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
	32.0b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
	57.5b	(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
	40.9b	(fabs.f64 x)
✓	43.7b	(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
	43.5b	(exp.f64 (log.f64 x))
	46.8b	(cbrt.f64 (pow.f64 x 3))
	17.1b	x

Compiler

Compiled 654 to 455 computations (30.4% saved)

regimes362.0ms (2.1%)

Counts

62 → 3

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (.f64 y (/.f64 1/2 (/.f64 t (.f64 z z)))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2)))))
(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
(-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
(-.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 y (/.f64 z t))) 1) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fabs.f64 x)
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y)))
(-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (*.f64 t (/.f64 -1 y))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 1 y) (/.f64 (expm1.f64 z) t))))
(-.f64 x (/.f64 (fma.f64 z y (.f64 -1/2 (.f64 z (.f64 y (.f64 z y))))) t))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(-.f64 x (/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t))
(-.f64 x (.f64 (/.f64 1 t) (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (.f64 z z))) x) (*.f64 (/.f64 y t) z))
(exp.f64 (log.f64 x))
(cbrt.f64 (pow.f64 x 3))
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 1/3) 3)
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (log.f64 (exp.f64 (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))))
(-.f64 x (.f64 (+.f64 (fma.f64 1/2 (/.f64 (.f64 z z) t) (/.f64 z t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))) y))
(-.f64 x (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
(-.f64 x (/.f64 (log1p.f64 (+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))) t))
(-.f64 x (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (.f64 1/24 (/.f64 (pow.f64 z 4) t)) (.f64 1/6 (/.f64 (pow.f64 z 3) t))))) y))
(-.f64 x (+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(-.f64 x (.f64 (/.f64 1 t) (exp.f64 (log.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
(-.f64 x (/.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) (cbrt.f64 (.f64 t t))) (cbrt.f64 t)))
(-.f64 x (/.f64 (log1p.f64 (+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))) t))
(-.f64 x (/.f64 (-.f64 (pow.f64 (.f64 y (expm1.f64 z)) 3) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 z y (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (.f64 y (*.f64 (pow.f64 z 3) 1/6)))))) t))
(-.f64 x (/.f64 (-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 z) y) 3)) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 z) y) 2) (*.f64 (expm1.f64 z) y)))) t))

Outputs
(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Calls

13 calls:

100.0ms	y
58.0ms	t
45.0ms	z
27.0ms	x
21.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))

Results

Error	Segments	Branch
1.4b	1	`x`
0.3b	3	`y`
1.4b	1	`z`
1.4b	1	`t`
1.4b	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))`
0.3b	3	`(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)`
0.3b	3	`(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)`
0.3b	3	`(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))`
0.3b	3	`(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))`
0.3b	3	`(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))`
0.3b	3	`(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))`
1.4b	1	`(exp.f64 z)`
1.4b	1	`(exp.f64 z)`

Compiler

Compiled 956 to 499 computations (47.8% saved)

bsearch7.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	2.3573889145824252e-212	4.2055191944034263e-212
3.0ms	-6.819855658176446e-34	-3.784618768865889e-40

Results

4.0ms	28×	body	256	valid
1.0ms	2×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes189.0ms (1.1%)

Counts

47 → 3

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (.f64 y (/.f64 1/2 (/.f64 t (.f64 z z)))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2)))))
(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
(-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
(-.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 y (/.f64 z t))) 1) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fabs.f64 x)
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y)))
(-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (*.f64 t (/.f64 -1 y))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 1 y) (/.f64 (expm1.f64 z) t))))
(-.f64 x (/.f64 (fma.f64 z y (.f64 -1/2 (.f64 z (.f64 y (.f64 z y))))) t))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(-.f64 x (/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t))
(-.f64 x (.f64 (/.f64 1 t) (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (.f64 z z))) x) (*.f64 (/.f64 y t) z))
(exp.f64 (log.f64 x))
(cbrt.f64 (pow.f64 x 3))
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 1/3) 3)
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Calls

6 calls:

69.0ms	y
53.0ms	t
23.0ms	z
21.0ms	x
4.0ms	(exp.f64 z)

Results

Error	Segments	Branch
1.4b	1	`x`
0.3b	3	`y`
1.4b	1	`z`
1.4b	1	`t`
1.4b	1	`(exp.f64 z)`
1.4b	1	`(exp.f64 z)`

Compiler

Compiled 528 to 255 computations (51.7% saved)

bsearch86.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.3573889145824252e-212	4.2055191944034263e-212
61.0ms	-3.78636590215539e-11	-1.355981503996989e-14

Results

57.0ms	146×	body	256	valid
11.0ms	21×	body	1024	valid
9.0ms	9×	body	2048	valid
6.0ms	16×	body	512	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 348 to 246 computations (29.3% saved)

regimes171.0ms (1%)

Counts

46 → 2

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (.f64 y (/.f64 1/2 (/.f64 t (.f64 z z)))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2)))))
(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
(-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
(-.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 y (/.f64 z t))) 1) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fabs.f64 x)
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)))
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y)))
(-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (*.f64 t (/.f64 -1 y))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 (expm1.f64 z) (/.f64 1 y))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 1 y) (/.f64 (expm1.f64 z) t))))
(-.f64 x (/.f64 (fma.f64 z y (.f64 -1/2 (.f64 z (.f64 y (.f64 z y))))) t))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(-.f64 x (/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (.f64 y y)) 1/2))) t))
(-.f64 x (.f64 (/.f64 1 t) (fma.f64 z y (.f64 (.f64 z z) (.f64 (-.f64 y (*.f64 y y)) 1/2)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (.f64 z z))) x) (*.f64 (/.f64 y t) z))
(exp.f64 (log.f64 x))
(cbrt.f64 (pow.f64 x 3))
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 1/3) 3)
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 3/2))
(*.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)

Outputs
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
x

Calls

6 calls:

70.0ms	x
24.0ms	t
22.0ms	y
20.0ms	z
4.0ms	(exp.f64 z)

Results

Error	Segments	Branch
6.3b	2	`x`
7.5b	1	`y`
7.5b	1	`z`
7.5b	1	`t`
7.5b	1	`(exp.f64 z)`
7.5b	1	`(exp.f64 z)`

Compiler

Compiled 519 to 251 computations (51.6% saved)

bsearch66.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
66.0ms	4.947471044866381e-19	4.5853630153090624e-14

Results

34.0ms	81×	body	256	valid
21.0ms	37×	body	1024	valid
7.0ms	24×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 195 to 144 computations (26.2% saved)

regimes112.0ms (0.7%)

Counts

24 → 2

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (.f64 y (/.f64 1/2 (/.f64 t (.f64 z z)))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2)))))
(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
(-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
(-.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 y (/.f64 z t))) 1) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fabs.f64 x)
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))

Outputs
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z)))
x

Calls

4 calls:

38.0ms	z
24.0ms	x
23.0ms	y
13.0ms	t

Results

Error	Segments	Branch
7.2b	2	`x`
7.4b	2	`y`
7.5b	2	`z`
8.7b	1	`t`

Compiler

Compiled 277 to 133 computations (52% saved)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	4.947471044866381e-19	4.5853630153090624e-14

Results

17.0ms	32×	body	1024	valid
14.0ms	77×	body	256	valid
10.0ms	32×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 195 to 144 computations (26.2% saved)

regimes140.0ms (0.8%)

Counts

23 → 2

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(-.f64 x (*.f64 (/.f64 y t) z))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 z (/.f64 t y)))
(-.f64 x (/.f64 (*.f64 z y) t))
(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (.f64 y (/.f64 1/2 (/.f64 t (.f64 z z)))))
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1))
(-.f64 x (.f64 -1/2 (/.f64 (.f64 z (*.f64 z y)) (/.f64 t y))))
(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 z (*.f64 z 1/2)))))
(-.f64 x (/.f64 -1/2 (/.f64 t (.f64 z (.f64 (*.f64 y y) z)))))
(-.f64 x (.f64 1/2 (/.f64 (-.f64 y (.f64 y y)) (/.f64 t (*.f64 z z)))))
(-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(-.f64 x (/.f64 (.f64 z (+.f64 y (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2)))) t))
(-.f64 x (/.f64 (+.f64 (.f64 z (.f64 z (.f64 (-.f64 y (.f64 y y)) 1/2))) (*.f64 z y)) t))
(-.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 y (/.f64 z t))) 1) (.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))
(fabs.f64 x)
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))

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

Calls

4 calls:

43.0ms	y
34.0ms	t
34.0ms	x
21.0ms	z

Results

Error	Segments	Branch
11.9b	3	`x`
13.8b	4	`y`
10.6b	2	`z`
12.4b	3	`t`

Compiler

Compiled 269 to 131 computations (51.3% saved)

bsearch51.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	-5.1658947792872e+17	-19827.55401807433

Results

21.0ms	117×	body	256	valid
14.0ms	23×	body	1024	valid
10.0ms	19×	body	512	valid
3.0ms	28×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 294 to 198 computations (32.7% saved)

regimes131.0ms (0.8%)

Counts

15 → 2

Calls

Call 1

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

Outputs
x
(-.f64 x (/.f64 y (/.f64 t z)))

Calls

4 calls:

41.0ms	x
30.0ms	y
29.0ms	z
26.0ms	t

Results

Error	Segments	Branch
11.9b	3	`x`
13.8b	4	`y`
10.7b	2	`z`
12.4b	3	`t`

Compiler

Compiled 163 to 88 computations (46% saved)

bsearch55.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	-4.643582869176289e+49	-1.315166646609187e+44

Results

39.0ms	120×	body	256	valid
5.0ms	10×	body	1024	valid
4.0ms	14×	body	512	valid
4.0ms	37×	body	256	invalid

Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes58.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

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

Outputs
x
(-.f64 x (*.f64 (/.f64 y t) z))

Calls

4 calls:

27.0ms	x
13.0ms	y
10.0ms	t
6.0ms	z

Results

Error	Segments	Branch
12.3b	3	`x`
14.7b	4	`y`
11.9b	2	`z`
13.4b	3	`t`

Compiler

Compiled 37 to 27 computations (27% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	-4.643582869176289e+49	-1.315166646609187e+44

Results

16.0ms	106×	body	256	valid
9.0ms	16×	body	1024	valid
7.0ms	20×	body	512	valid
3.0ms	31×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 186 to 135 computations (27.4% saved)

regimes15.0ms (0.1%)

Accuracy

Total -15.2b remaining (-88.6%)

Threshold costs -15.2b (-88.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
17.1b	1	`x`
17.1b	1	`y`
17.1b	1	`z`
17.1b	1	`t`

Compiler

Compiled 30 to 24 computations (20% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

73×	`distribute-rgt-neg-in_binary64`
63×	`cancel-sign-sub-inv_binary64`
49×	`distribute-lft-neg-in_binary64`
41×	`neg-sub0_binary64`
41×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	211
1	104	209
2	180	209
3	253	209
4	322	209
5	382	209
6	461	209
7	533	209
8	563	209
9	573	209

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -1461501637330903/2923003274661805836407369665432566039311865085952) (-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))) (if (<=.f64 y 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -1077503010193995/79228162514264337593543950336) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 3979843742470079/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 x 3565267313141895/79228162514264337593543950336) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) x)
(if (<=.f64 x 3565267313141895/79228162514264337593543950336) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) x)
(if (<=.f64 z -20000) x (-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))))
(if (<=.f64 z -132000000000000005305944053863330878242947072) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -204999999999999982431117749459214496344047616) x (-.f64 x (*.f64 (/.f64 y t) z)))
x

Outputs
(if (<=.f64 y -1461501637330903/2923003274661805836407369665432566039311865085952) (-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))) (if (<=.f64 y 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -1461501637330903/2923003274661805836407369665432566039311865085952) (-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))) (if (<=.f64 y 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -1461501637330903/2923003274661805836407369665432566039311865085952) (+.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 -1 t))) (if (<=.f64 y 7580654747562055/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -1077503010193995/79228162514264337593543950336) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 3979843742470079/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (-.f64 x (.f64 (/.f64 y t) (expm1.f64 z))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -1077503010193995/79228162514264337593543950336) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 3979843742470079/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (-.f64 x (.f64 (expm1.f64 z) (/.f64 y t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 x 3565267313141895/79228162514264337593543950336) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) x)
(if (<=.f64 x 3565267313141895/79228162514264337593543950336) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) x)
(if (<=.f64 x 3565267313141895/79228162514264337593543950336) (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) x)
(if (<=.f64 x 3565267313141895/79228162514264337593543950336) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) x)
(if (<=.f64 z -20000) x (-.f64 x (.f64 y (neg.f64 (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t))))))
(if (<=.f64 z -20000) x (+.f64 x (.f64 y (-.f64 (.f64 z (*.f64 (/.f64 z t) -1/2)) (/.f64 z t)))))
(if (<=.f64 z -132000000000000005305944053863330878242947072) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -204999999999999982431117749459214496344047616) x (-.f64 x (*.f64 (/.f64 y t) z)))
(if (<=.f64 z -204999999999999982431117749459214496344047616) x (-.f64 x (*.f64 z (/.f64 y t))))
x

Compiler

Compiled 173 to 100 computations (42.2% saved)

soundness872.0ms (5.1%)

Algorithm

4×	egg-herbie

Rules

952×	`fma-neg_binary64`
735×	`div-sub_binary64`
735×	`div-sub_binary64`
735×	`div-sub_binary64`
611×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	23	18
2	48	17
3	96	17
4	206	14
5	427	14
6	727	14
7	915	14
8	1032	14
9	1246	14
10	1756	14
11	3370	14
12	4326	14
13	4949	14
14	5748	14
15	6517	14
16	7072	14
17	7614	14
18	7912	14
0	13	20
1	23	18
2	48	17
3	96	17
4	206	14
5	427	14
6	727	14
7	915	14
8	1032	14
9	1246	14
10	1756	14
11	3370	14
12	4326	14
13	4949	14
14	5748	14
15	6517	14
16	7072	14
17	7614	14
18	7912	14
0	692	10647
1	1864	8548
2	6758	8460
0	13	20
1	23	18
2	48	17
3	96	17
4	206	14
5	427	14
6	727	14
7	915	14
8	1032	14
9	1246	14
10	1756	14
11	3370	14
12	4326	14
13	4949	14
14	5748	14
15	6517	14
16	7072	14
17	7614	14
18	7912	14

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 712 to 508 computations (28.7% saved)

end69.0ms (0.4%)

Compiler: Compiled 145 to 58 computations (60% saved)

Iter	Nodes	Cost
0	59	211
1	104	209
2	180	209
3	253	209
4	322	209
5	382	209
6	461	209
7	533	209
8	563	209
9	573	209

Iter	Nodes	Cost
0	59	211
1	104	209
2	180	209
3	253	209
4	322	209
5	382	209
6	461	209
7	533	209
8	563	209
9	573	209

Iter	Nodes	Cost
0	59	211
1	104	209
2	180	209
3	253	209
4	322	209
5	382	209
6	461	209
7	533	209
8	563	209
9	573	209