Details

analyze588.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
12.3%	81.3%	6.4%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample7.3s (37.8%)

Results

2.4s	1580×	body	8192	exit
1.9s	1820×	body	1024	valid
1.1s	4744×	body	256	valid
774.0ms	1384×	body	512	valid
428.0ms	1878×	body	256	invalid
376.0ms	308×	body	2048	valid
106.0ms	196×	body	1024	invalid
105.0ms	259×	body	512	invalid

preprocess89.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

707×	`sub-neg_binary64`
471×	`div-sub_binary64`
471×	`fma-neg_binary64`
400×	`fma-def_binary64`
308×	`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	2393	98
6	3747	98
7	4924	98
8	6488	98
9	7485	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 (*.f64 y (exp.f64 x)) y)) 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 (-.f64 (*.f64 z (exp.f64 y)) 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 t (+.f64 (exp.f64 z) -1))) 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)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

734×	`div-sub_binary64`
582×	`fma-def_binary64`
560×	`sub-neg_binary64`
453×	`associate-/l*_binary64`
369×	`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	423	14
6	722	14
7	906	14
8	1020	14
9	1231	14
10	1745	14
11	3240	14
12	4174	14
13	4800	14
14	5587	14
15	6365	14
16	6918	14
17	7460	14
18	7758	14

Stop Event

1×	node limit

Counts

1 → 2

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 26 to 17 computations (34.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

1.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.8b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
	0.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓	0.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓	0.0b	(*.f64 y (expm1.f64 z))
✓	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	3.8b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

Compiler

Compiled 35 to 9 computations (74.3% saved)

series114.0ms (0.6%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
36.0ms	z	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
27.0ms	z	@	-inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
19.0ms	t	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
8.0ms	t	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
6.0ms	z	@	0	(log1p.f64 (*.f64 y (expm1.f64 z)))

rewrite157.0ms (0.8%)

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	2852	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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(expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) x)))) (#(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 (/.f64 1 t)) (log1p.f64 (.f64 y (expm1.f64 z))) (/.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 (/.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 (neg.f64 (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))))))))

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary64`
607×	`associate-l_binary64`
602×	`associate-r_binary64`
372×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2738
1	648	2655
2	2159	2603

Stop Event

1×	node limit

Counts

365 → 341

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)))))))
(-.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 -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)

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

eval823.0ms (4.3%)

Compiler: Compiled 9896 to 3599 computations (63.6% saved)

prune68.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	327	14	341
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	327	15	342

Error

0.0b

Counts

342 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.2b	(-.f64 x (/.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
	7.2b	(-.f64 x (.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
▶	1.5b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
	16.1b	(-.f64 x (*.f64 (/.f64 y t) z))
	31.8b	(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)))
▶	1.5b	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
	7.3b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
	33.7b	(-.f64 x (.f64 (pow.f64 t -1/2) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (sqrt.f64 t))))
	20.0b	x
	23.9b	(-.f64 x (/.f64 (fma.f64 z y (.f64 (.f64 z z) (.f64 1/2 (-.f64 y (.f64 y y))))) t))
	43.7b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
▶	16.4b	(-.f64 x (/.f64 (*.f64 y z) t))
▶	18.1b	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
	1.8b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
✓	1.5b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 518 to 311 computations (40% saved)

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
	0.0b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
	0.0b	(*.f64 y (expm1.f64 z))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	0.6b	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓	3.7b	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series66.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	y	@	inf	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
20.0ms	y	@	-inf	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
3.0ms	y	@	inf	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
3.0ms	z	@	0	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
2.0ms	z	@	0	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
880×	`add-log-exp_binary64`
880×	`expm1-log1p-u_binary64`
879×	`log1p-expm1-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	201	22
2	2434	22

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

Outputs

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

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

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-r_binary64`
325×	`associate-l_binary64`
315×	`fma-def_binary64`
307×	`cancel-sign-sub-inv_binary64`
293×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	4371
1	1319	4034
2	6527	4012

Stop Event

1×	node limit

Counts

143 → 139

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.2b	(/.f64 (*.f64 y z) t)
	0.0b	(-.f64 x (/.f64 (*.f64 y z) t))
✓	0.0b	(-.f64 x (/.f64 (*.f64 y z) t))
✓	5.2b	(/.f64 (*.f64 y z) t)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`prod-diff_binary64`
503×	`log-prod_binary64`
320×	`pow-prod-down_binary64`
250×	`pow2_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2609	17

Stop Event

1×	node limit

Counts

2 → 250

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

365×	`fma-def_binary64`
220×	`fma-neg_binary64`
81×	`cancel-sign-sub-inv_binary64`
49×	`associate-/l*_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	456
1	19	420
2	41	420
3	80	420
4	141	420
5	214	420
6	300	420
7	379	420
8	482	420
9	747	420
10	1170	420
11	1327	420
12	1443	420
13	1448	420

Stop Event

1×

saturated

Counts

298 → 255

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))
	0.1b	(.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))
	0.0b	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
	0.0b	(+.f64 y (.f64 y (.f64 1/2 z)))
✓	0.0b	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
✓	0.1b	(.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))
✓	1.0b	(log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))
✓	3.8b	(/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t)

Compiler

Compiled 69 to 40 computations (42% saved)

series55.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	t	@	0	(/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t)
6.0ms	y	@	-inf	(.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))
5.0ms	t	@	inf	(/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t)
3.0ms	z	@	-inf	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
2.0ms	x	@	0	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log-prod_binary64`
532×	`fma-def_binary64`
270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`
243×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	291	59
2	4260	59

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t)
(log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))
(.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))
(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t))) (cbrt.f64 (pow.f64 (fma.f64 z (.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 z (.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 z (.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t) 1)))) (#(struct:change 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1)))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 z (.f64 y (fma.f64 z 1/2 1)) 1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (log1p.f64 (.f64 z (.f64 y (fma.f64 z 1/2 1)))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (.f64 z (*.f64 y (fma.f64 z 1/2 1)))) t)))))))
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simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64`
467×	`distribute-lft-in_binary64`
388×	`times-frac_binary64`
305×	`sub-neg_binary64`
303×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	4326
1	1080	4016
2	3807	3968

Stop Event

1×	node limit

Counts

358 → 378

Calls

Call 1

Inputs
(/.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 (.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 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3))) (pow.f64 z 3)) t)) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 (.f64 12 (pow.f64 y 3)) (.f64 -6 (pow.f64 y 4)))) (pow.f64 z 4)) t)) (/.f64 (*.f64 y z) t))))
(/.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/2 y))) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t))))
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (/.f64 1 y)) 4) (.f64 t (pow.f64 z 2)))) (.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (/.f64 1 y)) 4) (.f64 t (pow.f64 z 2)))) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (.f64 1/6 (/.f64 (-.f64 16 (.f64 24 (/.f64 1 y))) (.f64 t (pow.f64 z 3))))))))
(/.f64 (+.f64 (log.f64 (.f64 1/2 y)) (.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (/.f64 1 y)) 4) (.f64 t (pow.f64 z 2)))) (.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (/.f64 1 y)) 4) (.f64 t (pow.f64 z 2)))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 24 (/.f64 1 y)) 16) (.f64 t (pow.f64 z 3)))) (.f64 2 (/.f64 1 (.f64 t z)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 3) (.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 3) (.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (.f64 (+.f64 1 (*.f64 1/2 z)) z))) t)
(+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (.f64 1/2 z)) z)) t) (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (.f64 t (pow.f64 z 2)))))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 3) (.f64 (pow.f64 y 3) (.f64 t (pow.f64 z 3)))))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (.f64 1/2 z)) z)) t) (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 z (-.f64 (*.f64 -1/2 z) 1)))) t)
(-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (.f64 -1/2 z) 1))) t)) (/.f64 1 (.f64 y (.f64 t (.f64 (-.f64 (*.f64 -1/2 z) 1) z)))))
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(/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))) t)
(*.f64 y z)
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(.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))
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(.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))
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x
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x
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x
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Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 (/.f64 z t) y)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (.f64 y z) t))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (.f64 (/.f64 y t) z))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (.f64 (/.f64 z t) y))
(+.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 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3))) (pow.f64 z 3)) t)) (/.f64 (.f64 y z) t)))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (fma.f64 1/6 (/.f64 (fma.f64 -3 (.f64 y y) (.f64 2 (pow.f64 y 3))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))))
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(/.f64 (neg.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y)))) t)
(/.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1))))) t)
(+.f64 x (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)))
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
(+.f64 x (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)))
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
(+.f64 x (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)))
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
x
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (.f64 y z)))))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 (*.f64 y z) 1/2)))) t) x)
(-.f64 x (/.f64 (log1p.f64 (.f64 z (fma.f64 (.f64 y z) 1/2 y))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 z (fma.f64 z 1/2 1)))) t))

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.9b	(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
	0.0b	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
✓	0.0b	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
	0.0b	(*.f64 y (expm1.f64 z))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	3.9b	(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t))
0.0ms	y	@	0	(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t))
0.0ms	y	@	inf	(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t))
0.0ms	y	@	inf	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
0.0ms	y	@	-inf	(.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`prod-diff_binary64`
609×	`log-prod_binary64`
314×	`pow2_binary64`
247×	`fma-def_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	249	25
2	3214	25

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-neg_binary64`
494×	`associate-r_binary64`
443×	`associate-l_binary64`
407×	`fma-def_binary64`
303×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1917
1	467	1867
2	1515	1809
3	7454	1809

Stop Event

1×	node limit

Counts

292 → 276

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 -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 -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)

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

localize30.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
	0.2b	(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)
	0.0b	(*.f64 y (expm1.f64 z))
	0.0b	(-.f64 x (/.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	3.8b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
✓	10.7b	(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
✓	27.8b	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))

Compiler

Compiled 92 to 29 computations (68.5% saved)

series47.0ms (0.2%)

Counts

3 → 68

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
4.0ms	y	@	inf	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
4.0ms	z	@	inf	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
4.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
4.0ms	z	@	0	(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
422×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
282×	`pow2_binary64`
225×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	265	34
2	2874	34

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))

(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)

Outputs

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

762×	`distribute-rgt-in_binary64`
750×	`times-frac_binary64`
748×	`distribute-lft-in_binary64`
219×	`cancel-sign-sub-inv_binary64`
214×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	4215
1	912	3852
2	3375	3708

Stop Event

1×	node limit

Counts

209 → 211

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3)
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 y)) (-.f64 (exp.f64 z) 1))) (.f64 2 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (-.f64 (exp.f64 z) 1)))) y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 4)) 1/9))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 4)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (pow.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 y)) (-.f64 (exp.f64 z) 1))) (.f64 2 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (-.f64 (exp.f64 z) 1)))) 2)))) (pow.f64 y 2)))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 y)) (-.f64 (exp.f64 z) 1))) (.f64 2 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (-.f64 (exp.f64 z) 1)))) y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 4)) 1/9))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3)))
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(pow.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) 1/3) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) 1) 1/9) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))))
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(+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (+.f64 (.f64 -4/3 (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (.f64 4/3 (.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 16) 1) 1/9)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) 1/9))) (.f64 -8/27 (.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) 1) 1/3))))) (pow.f64 y 3)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) 1) 1/9) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 4)) 1/3) (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (.f64 4/3 (.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 16) 1) 1/9)))) (pow.f64 y 2)))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 2) 1/3)
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3))
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(pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/9) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/9) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (.f64 1/3 (.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3)))
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(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) 1/3)
(/.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)))
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(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
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(/.f64 (*.f64 y z) t)
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(/.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)

Outputs
(pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))
(+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 y)) (-.f64 (exp.f64 z) 1))) (.f64 2 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (-.f64 (exp.f64 z) 1)))) y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 4)) 1/9))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 y)) (expm1.f64 z)) (.f64 2 (/.f64 (log.f64 (expm1.f64 z)) (expm1.f64 z)))) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 4)) 1/18))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 2 (/.f64 (log.f64 (expm1.f64 z)) (expm1.f64 z)) (.f64 -2 (/.f64 (neg.f64 (log.f64 y)) (expm1.f64 z)))) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 4)) 1/18))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 2 (/.f64 (log.f64 (expm1.f64 z)) (expm1.f64 z)) (/.f64 (.f64 2 (log.f64 y)) (expm1.f64 z))) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 4)) 1/18))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)))
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(+.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 (*.f64 y y) t)))))
(+.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 (pow.f64 (expm1.f64 z) 2) (.f64 y (*.f64 y t))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y (*.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 (.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 (pow.f64 y 3) t))))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 (*.f64 y y) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 (/.f64 1/3 (.f64 (pow.f64 y 3) t)) (pow.f64 (expm1.f64 z) 3)) (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y (.f64 y t))))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 (pow.f64 y 3) t)))) (/.f64 -1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y (*.f64 y t)))))
(/.f64 (*.f64 y z) t)
(/.f64 (*.f64 z y) t)
(*.f64 (/.f64 y t) z)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (.f64 y z) t))
(fma.f64 1/2 (/.f64 (.f64 (fma.f64 -1 (.f64 y y) y) (.f64 z z)) t) (/.f64 (.f64 z y) t))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (/.f64 (.f64 z y) t))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (.f64 (/.f64 y t) z))
(+.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 (pow.f64 z 3) (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 y (.f64 2 (pow.f64 y 3))))) t)) (/.f64 (.f64 y z) t)))
(fma.f64 1/2 (/.f64 (.f64 (fma.f64 -1 (.f64 y y) y) (.f64 z z)) t) (fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (.f64 y y) (+.f64 y (.f64 2 (pow.f64 y 3)))))) (/.f64 (.f64 z y) t)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (/.f64 (.f64 z y) t)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (.f64 (/.f64 y t) z)))
(+.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 (pow.f64 z 3) (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 y (.f64 2 (pow.f64 y 3))))) t)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 z 4) (+.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))))))) t)) (/.f64 (.f64 y z) t))))
(fma.f64 1/2 (/.f64 (.f64 (fma.f64 -1 (.f64 y y) y) (.f64 z z)) t) (fma.f64 1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (.f64 y y) (+.f64 y (.f64 2 (pow.f64 y 3)))))) (fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t (fma.f64 -3 (.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (.f64 y y) (.f64 (pow.f64 y 4) -6))))))) (/.f64 (*.f64 z y) t))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (.f64 y y) -4 (.f64 (pow.f64 y 4) -6))) (fma.f64 (.f64 y y) -3 y))) (/.f64 (.f64 z y) t))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (.f64 y y) -4 (.f64 (pow.f64 y 4) -6))) (fma.f64 (.f64 y y) -3 y))) (.f64 (/.f64 y t) z))))
(/.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 (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)

eval973.0ms (5.1%)

Compiler: Compiled 49887 to 25363 computations (49.2% saved)

prune371.0ms (1.9%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1518	17	1535
Fresh	7	2	9
Picked	1	0	1
Done	1	4	5
Total	1527	23	1550

Error

Counts

1550 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.7b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
	7.3b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
	18.1b	(-.f64 x (.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (.f64 1/2 z))))) (/.f64 1 t)))
	16.1b	(-.f64 x (.f64 z (.f64 y (/.f64 1 t))))
	20.0b	x
	43.7b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
	16.3b	(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
	8.8b	(-.f64 x (pow.f64 (/.f64 t (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) -1))
	23.3b	(-.f64 x (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
	16.4b	(-.f64 x (pow.f64 (/.f64 t (*.f64 y z)) -1))
✓	18.1b	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
▶	39.8b	(-.f64 x (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))))
▶	1.5b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
	8.4b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
	1.8b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
▶	53.8b	(*.f64 z (/.f64 (neg.f64 y) t))
✓	1.5b	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
	16.3b	(-.f64 x (*.f64 (/.f64 z t) y))
	23.9b	(-.f64 x (/.f64 (fma.f64 y z (.f64 (-.f64 y (.f64 y y)) (.f64 1/2 (.f64 z z)))) t))
▶	29.6b	(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t))
✓	16.4b	(-.f64 x (/.f64 (*.f64 y z) t))
	56.6b	(-.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (*.f64 -1/2 z) 1))) t)))
✓	1.5b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 624 to 427 computations (31.6% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
	0.0b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
	0.0b	(*.f64 y (expm1.f64 z))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	0.6b	(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
	3.7b	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
877×	`add-log-exp_binary64`
877×	`expm1-log1p-u_binary64`
876×	`log1p-expm1-u_binary64`
855×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	200	11
2	2463	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

408×	`associate-r_binary64`
390×	`unswap-sqr_binary64`
379×	`associate-l_binary64`
325×	`cancel-sign-sub-inv_binary64`
309×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	924
1	343	896
2	1080	873
3	5420	865

Stop Event

1×	node limit

Counts

72 → 70

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)

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 (.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 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.f64 (expm1.f64 z) (/.f64 t y)))
(.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 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 (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 -1/2 (.f64 (.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 1/3 (.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 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 (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 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (.f64 (.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 1/3 (.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/4 (.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 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 (+.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 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t)))))
(+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) 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 (/.f64 1 (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 y (.f64 (expm1.f64 z) t)))) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/2 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 1/2 (.f64 y (.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2))))))
(+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 -1/2 (.f64 y (.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 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 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (.f64 y t)))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (.f64 y y)))))
(+.f64 (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) 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 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 (/.f64 (/.f64 1/3 t) (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (.f64 y (.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2)))))
(+.f64 (/.f64 (/.f64 (/.f64 1/3 t) (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) (+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 -1/2 (.f64 y (.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 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 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) 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 (/.f64 1 (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 y (.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 -1/2 (.f64 y (.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2))))))
(-.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (.f64 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 (/.f64 1/3 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 1/2 (.f64 t (.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))))
(+.f64 (/.f64 (/.f64 (/.f64 1/3 t) (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 1 (.f64 y (.f64 (expm1.f64 z) t))) (/.f64 -1/2 (.f64 y (.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) 2)))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(*.f64 (/.f64 z t) y)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (.f64 y z) t))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (/.f64 y (/.f64 t z)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (.f64 (/.f64 y t) z))
(fma.f64 (/.f64 y t) z (.f64 (/.f64 (.f64 z z) t) (.f64 1/2 (-.f64 y (.f64 y y)))))
(fma.f64 (/.f64 y t) z (/.f64 (.f64 1/2 (.f64 (.f64 z y) (-.f64 z (.f64 z y)))) 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)))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (.f64 y y) (.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (.f64 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (.f64 (.f64 y y) -3))) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z)))
(fma.f64 1/2 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 z z) t)) (fma.f64 1/6 (.f64 (pow.f64 z 3) (/.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y)) t)) (.f64 (/.f64 z t) y)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 z y) (-.f64 z (.f64 z y))) t) (fma.f64 1/6 (.f64 (pow.f64 z 3) (/.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y)) t)) (.f64 (/.f64 z t) y)))
(+.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)))))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (+.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (.f64 y y) (.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))) (.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (.f64 y y) (.f64 (pow.f64 y 4) -6))))) (/.f64 t (pow.f64 z 4))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (.f64 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (.f64 (.f64 y y) -3))) t) (pow.f64 z 3)) (fma.f64 1/24 (.f64 (/.f64 (+.f64 y (fma.f64 (.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (.f64 y y) -4 (.f64 (pow.f64 y 4) -6))))) t) (pow.f64 z 4)) (*.f64 (/.f64 y t) z))))
(fma.f64 1/2 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 z z) t)) (fma.f64 1/6 (.f64 (pow.f64 z 3) (/.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y)) t)) (fma.f64 1/24 (.f64 (pow.f64 z 4) (/.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (.f64 (.f64 y y) (+.f64 (.f64 y 12) -4))) (fma.f64 y (.f64 y -3) y)) t)) (*.f64 (/.f64 z t) y))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 z y) (-.f64 z (.f64 z y))) t) (fma.f64 1/6 (.f64 (pow.f64 z 3) (/.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y)) t)) (fma.f64 1/24 (.f64 (pow.f64 z 4) (/.f64 (+.f64 y (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -6 y) 12)) (.f64 (.f64 y y) -7))) t)) (*.f64 (/.f64 z t) y))))
(/.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)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.0b	(*.f64 z (/.f64 (neg.f64 y) t))
✓	3.0b	(*.f64 z (/.f64 (neg.f64 y) t))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	(*.f64 z (/.f64 (neg.f64 y) t))
1.0ms	z	@	0	(*.f64 z (/.f64 (neg.f64 y) t))
1.0ms	t	@	0	(*.f64 z (/.f64 (neg.f64 y) t))
0.0ms	y	@	0	(*.f64 z (/.f64 (neg.f64 y) t))
0.0ms	y	@	-inf	(*.f64 z (/.f64 (neg.f64 y) t))

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2148	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.5b	(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)
	0.1b	(.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))
	0.0b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
✓	0.0b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
✓	0.1b	(.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))
✓	5.5b	(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)

Compiler

Compiled 54 to 31 computations (42.6% saved)

series19.0ms (0.1%)

Counts

3 → 72

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))
1.0ms	y	@	0	(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)
1.0ms	z	@	0	(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)
1.0ms	t	@	0	(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)
1.0ms	z	@	inf	(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)

rewrite145.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`prod-diff_binary64`
758×	`log-prod_binary64`
474×	`fma-def_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	281	42
2	3985	42

Stop Event

1×	node limit

Counts

3 → 322

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
605×	`distribute-rgt-neg-in_binary64`
461×	`distribute-lft-neg-in_binary64`
376×	`distribute-rgt-out_binary64`
356×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	1192
1	80	1062
2	192	1035
3	572	981
4	2030	903
5	5877	903

Stop Event

1×	node limit

Counts

394 → 344

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

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

localize22.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.5b	(.f64 y (.f64 1/2 (*.f64 z z)))
	5.0b	(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)
	1.0b	(log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z))))
✓	1.0b	(log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z))))
✓	5.0b	(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)
✓	5.5b	(.f64 y (.f64 1/2 (*.f64 z z)))

Compiler

Compiled 54 to 26 computations (51.9% saved)

series49.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
19.0ms	t	@	0	(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)
14.0ms	t	@	inf	(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)
2.0ms	z	@	0	(.f64 y (.f64 1/2 (*.f64 z z)))
1.0ms	z	@	0	(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)
1.0ms	z	@	inf	(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
404×	`exp-prod_binary64`
402×	`prod-diff_binary64`
310×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	206	37
2	2540	37

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs
(.f64 y (.f64 1/2 (*.f64 z z)))
(/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t)
(log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z))))

Outputs

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-neg_binary64`
561×	`fma-def_binary64`
499×	`times-frac_binary64`
458×	`associate-+r+_binary64`
361×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2315
1	485	2236
2	1508	2197
3	5453	2197

Stop Event

1×	node limit

Counts

187 → 177

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) t)) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) t)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 6)) t)) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) t)) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) t)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 6)) t)) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)))))
(/.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 (*.f64 1/2 (pow.f64 z 2))) t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) t))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (.f64 t (pow.f64 z 4))))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 t (pow.f64 z 6))))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) t)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 4))))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1/2 (pow.f64 z 2)))) t)
(+.f64 (/.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) t) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) t) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (.f64 t (pow.f64 z 4))))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) t) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 t (pow.f64 z 6))))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 4))))))
(.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) t)) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) t)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 6)) t)) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) t)) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) t)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 6)) t)) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t)))))
(/.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/2 y))) t)
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (.f64 t (pow.f64 z 4))))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 t (pow.f64 z 6))))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (.f64 -2 (/.f64 (log.f64 (/.f64 1 z)) t))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 4))))))
(/.f64 (+.f64 (log.f64 (.f64 1/2 y)) (.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (.f64 t (pow.f64 z 4))))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 t (pow.f64 z 6))))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (.f64 t (pow.f64 z 2))))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 4))))))
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(/.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 y (pow.f64 z 2))))) t)
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 1/24 (.f64 (pow.f64 y 3) (pow.f64 z 6)))))
(+.f64 (.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8))) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 1/24 (.f64 (pow.f64 y 3) (pow.f64 z 6))))))
(+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(-.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1/2 (pow.f64 z 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (log.f64 (.f64 -1/2 (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 1/24 (.f64 (pow.f64 y 3) (pow.f64 z 6)))))
(+.f64 (.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8))) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 1/24 (.f64 (pow.f64 y 3) (pow.f64 z 6))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/2 y)))
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(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
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(-.f64 (+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (.f64 -2 (log.f64 (/.f64 -1 z))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
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Outputs
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(.f64 1/2 (.f64 y (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 1/2 y))
(.f64 z (.f64 (*.f64 y z) 1/2))
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(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 1/2 y))
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(.f64 z (.f64 y (*.f64 1/2 z)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (*.f64 z z)))
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(.f64 z (.f64 (*.f64 y z) 1/2))
(.f64 z (.f64 y (*.f64 1/2 z)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 1/2 y))
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(.f64 z (.f64 y (*.f64 1/2 z)))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (*.f64 z z)))
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(.f64 (.f64 z z) (*.f64 1/2 y))
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(fma.f64 -1/8 (.f64 (pow.f64 z 4) (/.f64 (.f64 y y) t)) (fma.f64 1/2 (.f64 (.f64 z z) (/.f64 y t)) (fma.f64 1/24 (.f64 (pow.f64 z 6) (/.f64 (pow.f64 y 3) t)) (.f64 -1/64 (*.f64 (pow.f64 z 8) (/.f64 (pow.f64 y 4) t))))))
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(/.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (.f64 -1 (log.f64 (/.f64 1 y)))) t)
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(/.f64 (+.f64 (fma.f64 2 (log.f64 z) (log.f64 1/2)) (log.f64 y)) t)
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(fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 (.f64 y y) (pow.f64 z 4)) (.f64 (*.f64 1/24 (pow.f64 y 3)) (pow.f64 z 6)))))
(fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 y (.f64 y (pow.f64 z 4))) (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 6) 1/24)))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 -1/8 (.f64 (.f64 y y) (pow.f64 z 4)) (.f64 (pow.f64 y 3) (*.f64 1/24 (pow.f64 z 6))))))
(fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 (.f64 y y) (.f64 -1/8 (pow.f64 z 4)) (fma.f64 (.f64 z z) (.f64 1/2 y) (.f64 (pow.f64 z 6) (*.f64 1/24 (pow.f64 y 3))))))
(+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (log.f64 y))
(+.f64 (fma.f64 2 (log.f64 z) (log.f64 1/2)) (log.f64 y))
(+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 (.f64 y (.f64 z z)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (+.f64 (log.f64 y) (/.f64 (/.f64 2 y) (*.f64 z z))))
(+.f64 (log.f64 (.f64 1/2 y)) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))))
(-.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 (.f64 y (.f64 z z)))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4)))))
(+.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (+.f64 (log.f64 y) (/.f64 (/.f64 2 y) (.f64 z z)))) (/.f64 -2 (.f64 y (*.f64 y (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 y)) (-.f64 (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))) (/.f64 (/.f64 -2 (*.f64 y y)) (pow.f64 z 4))))
(-.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 z 2))) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 (.f64 y (.f64 z z)))) (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (/.f64 2 (.f64 (*.f64 y y) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (+.f64 (log.f64 y) (-.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (/.f64 2 (.f64 y (.f64 y (pow.f64 z 4))))))))
(+.f64 (+.f64 (log.f64 (.f64 1/2 y)) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z)))) (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (/.f64 (/.f64 -2 (.f64 y y)) (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (+.f64 (log.f64 (.f64 1/2 y)) (/.f64 (/.f64 8/3 (pow.f64 y 3)) (pow.f64 z 6)))) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 -2 (*.f64 y y)) (pow.f64 z 4))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1/2 (pow.f64 z 2))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 (.f64 z z) -1/2)))
(-.f64 (log.f64 (.f64 z (.f64 z -1/2))) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (.f64 (.f64 z z) -1/2)) (log.f64 (/.f64 -1 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (log.f64 (.f64 -1/2 (pow.f64 z 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 (.f64 z z) -1/2))) (/.f64 2 (.f64 y (.f64 z z))))
(+.f64 (-.f64 (log.f64 (.f64 z (.f64 z -1/2))) (log.f64 (/.f64 -1 y))) (/.f64 (/.f64 2 y) (*.f64 z z)))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (*.f64 z z))) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 (.f64 z z) -1/2))) (/.f64 2 (.f64 y (.f64 z z)))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4))))
(+.f64 (-.f64 (log.f64 (.f64 z (.f64 z -1/2))) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (/.f64 2 (.f64 y (*.f64 y (pow.f64 z 4))))))
(+.f64 (log.f64 (.f64 z (.f64 z -1/2))) (-.f64 (-.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (log.f64 (/.f64 -1 y))) (/.f64 2 (.f64 (*.f64 y y) (pow.f64 z 4)))))
(+.f64 (+.f64 (log.f64 -1/2) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z)))) (-.f64 (/.f64 (/.f64 -2 (.f64 y y)) (pow.f64 z 4)) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 z 2))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (+.f64 (log.f64 (.f64 (.f64 z z) -1/2)) (/.f64 2 (.f64 y (.f64 z z)))))) (/.f64 2 (.f64 (*.f64 y y) (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (+.f64 (-.f64 (log.f64 (.f64 z (.f64 z -1/2))) (log.f64 (/.f64 -1 y))) (/.f64 (/.f64 2 y) (.f64 z z)))) (/.f64 -2 (.f64 y (.f64 y (pow.f64 z 4)))))
(+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (+.f64 (log.f64 (.f64 z (.f64 z -1/2))) (-.f64 (-.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (log.f64 (/.f64 -1 y))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4))))))
(+.f64 (+.f64 (log.f64 -1/2) (-.f64 (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (/.f64 8/3 (pow.f64 y 3)) (pow.f64 z 6)) (/.f64 (/.f64 -2 (.f64 y y)) (pow.f64 z 4))))
(.f64 1/2 (.f64 y (pow.f64 z 2)))
(.f64 1/2 (.f64 y (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 1/2 y))
(.f64 z (.f64 (*.f64 y z) 1/2))
(.f64 z (.f64 y (*.f64 1/2 z)))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 (.f64 -1/8 (*.f64 y y)) (pow.f64 z 4)))
(fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 -1/8 (.f64 y (*.f64 y (pow.f64 z 4)))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 y (.f64 y (*.f64 -1/8 (pow.f64 z 4)))))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 1/24 (.f64 (pow.f64 y 3) (pow.f64 z 6)))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 (.f64 y y) (pow.f64 z 4)) (.f64 (.f64 1/24 (pow.f64 y 3)) (pow.f64 z 6))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 y (.f64 y (pow.f64 z 4))) (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 6) 1/24))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 (.f64 y y) (pow.f64 z 4)) (.f64 (pow.f64 y 3) (.f64 1/24 (pow.f64 z 6)))))
(fma.f64 (.f64 y y) (.f64 -1/8 (pow.f64 z 4)) (fma.f64 (.f64 z z) (.f64 1/2 y) (.f64 (pow.f64 z 6) (.f64 1/24 (pow.f64 y 3)))))
(+.f64 (.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8))) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 1/24 (.f64 (pow.f64 y 3) (pow.f64 z 6))))))
(fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 (.f64 y y) (pow.f64 z 4)) (.f64 (*.f64 1/24 (pow.f64 y 3)) (pow.f64 z 6)))))
(fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/8 (.f64 y (.f64 y (pow.f64 z 4))) (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 6) 1/24)))))
(fma.f64 1/2 (.f64 y (.f64 z z)) (fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 -1/8 (.f64 (.f64 y y) (pow.f64 z 4)) (.f64 (pow.f64 y 3) (*.f64 1/24 (pow.f64 z 6))))))
(fma.f64 -1/64 (.f64 (pow.f64 y 4) (pow.f64 z 8)) (fma.f64 (.f64 y y) (.f64 -1/8 (pow.f64 z 4)) (fma.f64 (.f64 z z) (.f64 1/2 y) (.f64 (pow.f64 z 6) (*.f64 1/24 (pow.f64 y 3))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/2 y)))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (log.f64 y))
(+.f64 (fma.f64 2 (log.f64 z) (log.f64 1/2)) (log.f64 y))
(+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/2 y))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 (.f64 y (.f64 z z)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (+.f64 (log.f64 y) (/.f64 (/.f64 2 y) (*.f64 z z))))
(+.f64 (log.f64 (.f64 1/2 y)) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (.f64 1/2 y)) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 (.f64 y (.f64 z z)))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4)))))
(+.f64 (+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (+.f64 (log.f64 y) (/.f64 (/.f64 2 y) (.f64 z z)))) (/.f64 -2 (.f64 y (*.f64 y (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 y)) (-.f64 (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z))) (/.f64 (/.f64 -2 (*.f64 y y)) (pow.f64 z 4))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 2 (.f64 y (.f64 z z)))) (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (/.f64 2 (.f64 (*.f64 y y) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 (.f64 z z))) (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (+.f64 (log.f64 y) (-.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (/.f64 2 (.f64 y (.f64 y (pow.f64 z 4))))))))
(+.f64 (+.f64 (log.f64 (.f64 1/2 y)) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 2 y) (.f64 z z)))) (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (/.f64 (/.f64 -2 (.f64 y y)) (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (+.f64 (log.f64 (.f64 1/2 y)) (/.f64 (/.f64 8/3 (pow.f64 y 3)) (pow.f64 z 6)))) (fma.f64 2 (log.f64 z) (/.f64 (/.f64 -2 (*.f64 y y)) (pow.f64 z 4))))
(+.f64 (log.f64 (.f64 1/2 y)) (.f64 -2 (log.f64 (/.f64 -1 z))))
(fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1/2 y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (+.f64 (log.f64 (.f64 1/2 y)) (.f64 -2 (log.f64 (/.f64 -1 z)))))
(+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 z))) (/.f64 2 (.f64 y (.f64 z z)))))
(+.f64 (log.f64 (.f64 1/2 y)) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 (/.f64 2 y) (.f64 z z))))
(-.f64 (+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (.f64 -2 (log.f64 (/.f64 -1 z))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(+.f64 (log.f64 (.f64 1/2 y)) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 z))) (/.f64 2 (.f64 y (.f64 z z)))) (/.f64 2 (.f64 (.f64 y y) (pow.f64 z 4)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 1/2 y))) (-.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (/.f64 2 (.f64 y (.f64 y (pow.f64 z 4))))))
(+.f64 (log.f64 (.f64 1/2 y)) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (+.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (/.f64 (/.f64 -2 (*.f64 y y)) (pow.f64 z 4)))))
(-.f64 (+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (.f64 8/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (.f64 2 (/.f64 1 (.f64 y (pow.f64 z 2)))) (.f64 -2 (log.f64 (/.f64 -1 z)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 4)))))
(-.f64 (+.f64 (+.f64 (log.f64 (.f64 1/2 y)) (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 z))) (/.f64 2 (.f64 y (.f64 z z))))) (/.f64 2 (.f64 (*.f64 y y) (pow.f64 z 4))))
(+.f64 (+.f64 (log.f64 (.f64 1/2 y)) (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6)))) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 (/.f64 2 y) (.f64 z z))) (/.f64 -2 (.f64 y (*.f64 y (pow.f64 z 4))))))
(+.f64 (log.f64 (.f64 1/2 y)) (+.f64 (/.f64 8/3 (.f64 (pow.f64 y 3) (pow.f64 z 6))) (fma.f64 -2 (log.f64 (/.f64 -1 z)) (+.f64 (/.f64 (/.f64 2 y) (.f64 z z)) (/.f64 (/.f64 -2 (.f64 y y)) (pow.f64 z 4))))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (/.f64 (/.f64 2 y) (.f64 z z))) (+.f64 (+.f64 (log.f64 (.f64 1/2 y)) (/.f64 (/.f64 8/3 (pow.f64 y 3)) (pow.f64 z 6))) (/.f64 (/.f64 -2 (*.f64 y y)) (pow.f64 z 4))))

localize37.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.5b	(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
	0.1b	(/.f64 z (sqrt.f64 t))
	0.1b	(/.f64 y (sqrt.f64 t))
	0.0b	(-.f64 x (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))))
✓	0.0b	(-.f64 x (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))))
✓	0.1b	(/.f64 y (sqrt.f64 t))
✓	0.1b	(/.f64 z (sqrt.f64 t))
✓	2.5b	(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series62.0ms (0.3%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
40.0ms	z	@	inf	(/.f64 z (sqrt.f64 t))
6.0ms	t	@	inf	(/.f64 y (sqrt.f64 t))
2.0ms	z	@	inf	(-.f64 x (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))))
1.0ms	t	@	-inf	(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
1.0ms	t	@	0	(/.f64 z (sqrt.f64 t))

rewrite162.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
645×	`log-prod_binary64`
242×	`fma-def_binary64`
216×	`pow1/3_binary64`
209×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	227	29
2	3436	29

Stop Event

1×	node limit

Counts

4 → 332

Calls

Call 1

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

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

simplify183.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1127×	`div-sub_binary64`
563×	`distribute-neg-frac_binary64`
485×	`fma-def_binary64`
427×	`fma-neg_binary64`
393×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	924
1	51	888
2	145	888
3	456	888
4	2053	888
5	3940	888
6	6316	888

Stop Event

1×	node limit

Counts

440 → 344

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

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

eval886.0ms (4.6%)

Compiler: Compiled 31494 to 15505 computations (50.8% saved)

prune259.0ms (1.4%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	1094	11	1105
Fresh	4	10	14
Picked	0	1	1
Done	1	7	8
Total	1099	29	1128

Error

Counts

1128 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	53.7b	(/.f64 (*.f64 z y) (neg.f64 t))
	16.3b	(-.f64 x (*.f64 (/.f64 z t) y))
✓	19.7b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
	7.3b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
	20.0b	x
	43.7b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
	16.3b	(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
✓	29.6b	(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t))
	52.9b	(*.f64 (neg.f64 y) (/.f64 z t))
	8.8b	(-.f64 x (/.f64 1 (/.f64 t (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))
	56.6b	(-.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (*.f64 -1/2 z) 1))) t)))
▶	18.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))))
✓	18.1b	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
	27.4b	(-.f64 x (.f64 z (.f64 (*.f64 y z) (/.f64 1/2 t))))
✓	39.8b	(-.f64 x (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))))
	16.4b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
✓	1.5b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
▶	62.3b	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
▶	8.4b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
▶	1.8b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
✓	1.5b	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
	14.6b	(-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t))))
✓	53.8b	(*.f64 z (/.f64 (neg.f64 y) t))
	18.1b	(+.f64 x (/.f64 (neg.f64 (fma.f64 1/2 z 1)) (/.f64 (/.f64 t z) y)))
▶	62.4b	(/.f64 (*.f64 z y) t)
	23.9b	(-.f64 x (/.f64 (fma.f64 y z (.f64 (-.f64 y (.f64 y y)) (.f64 1/2 (.f64 z z)))) t))
	22.6b	(-.f64 x (/.f64 1 (fma.f64 -1/2 (.f64 (/.f64 t (.f64 y y)) (-.f64 y (.f64 y y))) (/.f64 t (.f64 z y)))))
	23.3b	(-.f64 x (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
✓	1.5b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 754 to 514 computations (31.8% saved)

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
	0.0b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
	0.5b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
	3.8b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
✓	15.2b	(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 57 to 15 computations (73.7% saved)

series135.0ms (0.7%)

Counts

2 → 32

Calls

18 calls:

Time	Variable		Point	Expression
73.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
15.0ms	z	@	0	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
9.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
8.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
5.0ms	z	@	0	(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`expm1-log1p-u_binary64`
904×	`log1p-expm1-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	228	24
2	2502	24

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

679×	`associate-*l/_binary64`
574×	`associate-*r/_binary64`
561×	`associate-/l*_binary64`
522×	`distribute-rgt-in_binary64`
518×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	6212
1	873	5396
2	3334	5337

Stop Event

1×	node limit

Counts

106 → 110

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3)
(cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))
(cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (.f64 (.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (pow.f64 t 7)) 1/18))) (/.f64 (/.f64 1 (expm1.f64 z)) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (pow.f64 t 7)) 1/18)) (.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
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(/.f64 -1 y)))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (.f64 t (pow.f64 (expm1.f64 z) 2)))) (expm1.f64 z)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 4) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 t 4) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 5))) 1/18))) 2/9 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 7) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 t 7) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))) 1/18)) (/.f64 (fma.f64 (/.f64 1/9 (pow.f64 (expm1.f64 z) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 14) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 t 14) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 4))) 1/18)) (.f64 (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (.f64 t (pow.f64 (expm1.f64 z) 2)))) (.f64 -2/3 (cbrt.f64 (/.f64 t (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))))))) (expm1.f64 z))) (.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)) (fma.f64 -2/3 (.f64 (fma.f64 2/3 (.f64 (/.f64 (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (.f64 t (pow.f64 (expm1.f64 z) 2)))) (expm1.f64 z)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 t 4) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 t 4) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 5))) 1/18))) (fma.f64 -1/27 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 t 7) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)))) (pow.f64 (expm1.f64 z) 3)) (/.f64 1/3 (.f64 t (pow.f64 (expm1.f64 z) 3))))) (cbrt.f64 (/.f64 t (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))))) (.f64 2/9 (.f64 (/.f64 (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (.f64 t (pow.f64 (expm1.f64 z) 2)))) (expm1.f64 z)) (.f64 (pow.f64 (/.f64 1 (.f64 t (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 8))) 1/18))))))))) (pow.f64 y 3)))
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(.f64 1 (/.f64 (log1p.f64 (.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.2b	(/.f64 (*.f64 z y) t)
✓	5.2b	(/.f64 (*.f64 z y) t)

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 43

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)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.7b	(.f64 (.f64 z z) (/.f64 -1/2 t))
	5.1b	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
✓	5.1b	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
✓	6.7b	(.f64 (.f64 z z) (/.f64 -1/2 t))

Compiler

Compiled 30 to 15 computations (50% saved)

series15.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(.f64 (.f64 z z) (/.f64 -1/2 t))
1.0ms	z	@	0	(.f64 (.f64 z z) (/.f64 -1/2 t))
1.0ms	t	@	inf	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
1.0ms	y	@	0	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
1.0ms	t	@	0	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	191	23
2	2389	23

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

872×	`associate-*l/_binary64`
746×	`*-commutative_binary64`
609×	`sqr-pow_binary64`
537×	`associate-/r/_binary64`
338×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	708
1	26	708
2	59	708
3	150	708
4	480	708
5	1850	708
6	3216	708
7	3704	708
8	3919	708
9	4069	708
10	4247	708
11	4496	708
12	5394	708
13	6426	708
14	6884	708
15	7484	708

Stop Event

1×	node limit

Counts

101 → 45

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(/.f64 (expm1.f64 z) (/.f64 t y))
	0.0b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
✓	0.0b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
✓	1.5b	(/.f64 (expm1.f64 z) (/.f64 t y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
573×	`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	3002	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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simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

521×	`cancel-sign-sub-inv_binary64`
512×	`associate-*l/_binary64`
484×	`associate-r_binary64`
439×	`associate-/l/_binary64`
418×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	942
1	143	933
2	355	933
3	1037	911
4	3977	888

Stop Event

1×	node limit

Counts

340 → 280

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))
(-.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)

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

localize48.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))))
	0.1b	(.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))
	0.0b	(+.f64 y (.f64 y (.f64 1/2 z)))
	0.0b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))))
	0.1b	(.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))
✓	0.6b	(/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))))
	1.0b	(log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))
✓	3.7b	(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))

Compiler

Compiled 86 to 52 computations (39.5% saved)

series24.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))
4.0ms	y	@	-inf	(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))
2.0ms	z	@	inf	(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))
2.0ms	z	@	-inf	(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))
1.0ms	z	@	0	(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`log-prod_binary64`
360×	`pow2_binary64`
358×	`fma-def_binary64`
252×	`pow1/3_binary64`
247×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	282	32
2	3887	32

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))
(/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z)))))))

Outputs

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simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

403×	`associate-r_binary64`
400×	`unswap-sqr_binary64`
330×	`associate-/r*_binary64`
305×	`fma-def_binary64`
301×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	4470
1	1358	4055
2	5601	3930

Stop Event

1×	node limit

Counts

156 → 184

Calls

Call 1

Inputs
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (log.f64 (+.f64 1 (.f64 z (+.f64 y (.f64 1/2 (*.f64 y z)))))))
(/.f64 t (*.f64 y z))
(+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3))) t) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (.f64 t (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))) z)) (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3))) t) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (.f64 t (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) y)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3))) (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y))) (pow.f64 y 3))) (.f64 1/24 (/.f64 (.f64 t (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 (.f64 12 (pow.f64 y 3)) (.f64 -6 (pow.f64 y 4))))) (pow.f64 y 2))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3))) t) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (.f64 t (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))) z)) (/.f64 t (.f64 y z)))))
(/.f64 t (+.f64 (.f64 -2 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/2 y))))
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Outputs
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(+.f64 (/.f64 (log.f64 (.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 z)) t) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (.f64 t (.f64 z z))) (/.f64 2 (.f64 t z))) (.f64 1/6 (/.f64 (-.f64 16 (/.f64 24 y)) (.f64 t (pow.f64 z 3)))))))
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(+.f64 (+.f64 (/.f64 (log.f64 (.f64 y 1/2)) t) (/.f64 (.f64 2 (log.f64 z)) t)) (fma.f64 1/2 (/.f64 (+.f64 -4 (/.f64 4 y)) (.f64 t (.f64 z z))) (fma.f64 1/6 (/.f64 (/.f64 (+.f64 16 (/.f64 -24 y)) t) (pow.f64 z 3)) (/.f64 (/.f64 2 t) z))))
(/.f64 (+.f64 (log.f64 (.f64 1/2 y)) (.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(/.f64 (+.f64 (log.f64 (.f64 y 1/2)) (.f64 -2 (log.f64 (/.f64 -1 z)))) t)
(/.f64 (fma.f64 -2 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 y 1/2))) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t))))
(+.f64 (+.f64 (/.f64 2 (.f64 t z)) (/.f64 (log.f64 (.f64 y 1/2)) t)) (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)))
(+.f64 (/.f64 (/.f64 2 t) z) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (*.f64 y 1/2)) t)))
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (/.f64 1 y)) 4) (.f64 t (pow.f64 z 2)))) (.f64 2 (/.f64 1 (*.f64 t z))))))
(+.f64 (/.f64 (log.f64 (.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (.f64 t (.f64 z z))) (/.f64 2 (.f64 t z)))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 -4 (/.f64 4 y)) (.f64 t (.f64 z z))) (/.f64 (/.f64 2 t) z)) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (*.f64 y 1/2)) t)))
(+.f64 (/.f64 (log.f64 (.f64 1/2 y)) t) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (/.f64 1 y)) 4) (.f64 t (pow.f64 z 2)))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 24 (/.f64 1 y)) 16) (.f64 t (pow.f64 z 3)))) (.f64 2 (/.f64 1 (.f64 t z)))))))
(+.f64 (/.f64 (log.f64 (.f64 y 1/2)) t) (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 4 y) -4) (.f64 t (.f64 z z))) (fma.f64 -1/6 (/.f64 (+.f64 (/.f64 24 y) -16) (.f64 t (pow.f64 z 3))) (/.f64 2 (*.f64 t z))))))
(+.f64 (fma.f64 -2 (/.f64 (log.f64 (/.f64 -1 z)) t) (/.f64 (log.f64 (.f64 y 1/2)) t)) (fma.f64 1/2 (/.f64 (+.f64 -4 (/.f64 4 y)) (.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 (/.f64 (+.f64 (/.f64 24 y) -16) t) (pow.f64 z 3)) (/.f64 (/.f64 2 t) z))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)
(/.f64 (+.f64 1 (.f64 z 1/2)) (/.f64 t (.f64 z y)))
(.f64 (/.f64 (fma.f64 z 1/2 1) t) (.f64 z y))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 2) (/.f64 t (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (+.f64 1 (.f64 z 1/2)) (/.f64 t (.f64 z y))))
(fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) (/.f64 (/.f64 t (.f64 y y)) (.f64 z z))) (.f64 (/.f64 (fma.f64 z 1/2 1) t) (.f64 z y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 3) (.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t)))
(fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 3) (/.f64 t (.f64 (pow.f64 y 3) (pow.f64 z 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 2) (/.f64 t (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (+.f64 1 (.f64 z 1/2)) (/.f64 t (.f64 z y)))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 3) t) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) (/.f64 (/.f64 t (.f64 y y)) (.f64 z z))) (.f64 (/.f64 (fma.f64 z 1/2 1) t) (.f64 z y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 4) (.f64 (pow.f64 y 4) (pow.f64 z 4))) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 3) (.f64 (pow.f64 y 3) (pow.f64 z 3))) t)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (pow.f64 z 2))) t)) (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))))
(fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 4) (/.f64 t (.f64 (pow.f64 y 4) (pow.f64 z 4)))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 3) (/.f64 t (.f64 (pow.f64 y 3) (pow.f64 z 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 2) (/.f64 t (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (+.f64 1 (.f64 z 1/2)) (/.f64 t (.f64 z y))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 4) t) (.f64 (pow.f64 y 4) (pow.f64 z 4))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 3) t) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 z 1/2 1) 2) (/.f64 (/.f64 t (.f64 y y)) (.f64 z z))) (.f64 (/.f64 (fma.f64 z 1/2 1) t) (.f64 z y)))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (.f64 (+.f64 1 (*.f64 1/2 z)) z))) t)
(/.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (.f64 z (+.f64 1 (.f64 z 1/2))))) t)
(/.f64 (+.f64 (log.f64 (*.f64 z (fma.f64 z 1/2 1))) (log.f64 y)) t)
(+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (.f64 1/2 z)) z)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))
(+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 z 1/2)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 z (+.f64 1 (.f64 z 1/2)))) t) (/.f64 (neg.f64 (neg.f64 (log.f64 y))) t)))
(+.f64 (/.f64 (log.f64 (.f64 z (fma.f64 z 1/2 1))) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (.f64 t z) (.f64 y (fma.f64 z 1/2 1))))))
(+.f64 (/.f64 1 (.f64 (.f64 t z) (.f64 y (fma.f64 z 1/2 1)))) (/.f64 (+.f64 (log.f64 (.f64 z (fma.f64 z 1/2 1))) (log.f64 y)) t))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (.f64 1/2 z)) z)) t) (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (.f64 t (pow.f64 z 2)))))))
(+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 z 1/2)) (.f64 y (.f64 t z)))) (-.f64 (+.f64 (/.f64 (log.f64 (.f64 z (+.f64 1 (.f64 z 1/2)))) t) (/.f64 (neg.f64 (neg.f64 (log.f64 y))) t)) (/.f64 1/2 (.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 2) (.f64 (.f64 (.f64 y y) t) (.f64 z z))))))
(+.f64 (/.f64 1 (.f64 (.f64 t z) (.f64 y (fma.f64 z 1/2 1)))) (+.f64 (/.f64 (log.f64 (.f64 z (fma.f64 z 1/2 1))) t) (-.f64 (/.f64 (log.f64 y) t) (/.f64 1/2 (.f64 (.f64 t (.f64 z z)) (.f64 (*.f64 y y) (pow.f64 (fma.f64 z 1/2 1) 2)))))))
(+.f64 (/.f64 1 (.f64 (.f64 t z) (.f64 y (fma.f64 z 1/2 1)))) (+.f64 (/.f64 (+.f64 (log.f64 (.f64 z (fma.f64 z 1/2 1))) (log.f64 y)) t) (/.f64 -1/2 (.f64 (.f64 t (.f64 z z)) (.f64 (*.f64 y y) (pow.f64 (fma.f64 z 1/2 1) 2))))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 3) (.f64 (pow.f64 y 3) (.f64 t (pow.f64 z 3)))))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y (.f64 t z)))) (+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (.f64 1/2 z)) z)) t) (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 1/2 z)) 2) (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 3) (.f64 (.f64 (pow.f64 y 3) t) (pow.f64 z 3)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 z 1/2)) (.f64 y (.f64 t z)))) (-.f64 (+.f64 (/.f64 (log.f64 (.f64 z (+.f64 1 (.f64 z 1/2)))) t) (/.f64 (neg.f64 (neg.f64 (log.f64 y))) t)) (/.f64 1/2 (.f64 (pow.f64 (+.f64 1 (.f64 z 1/2)) 2) (.f64 (.f64 (.f64 y y) t) (.f64 z z)))))))
(+.f64 (+.f64 (/.f64 (log.f64 (.f64 z (fma.f64 z 1/2 1))) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (.f64 t z) (.f64 y (fma.f64 z 1/2 1)))))) (-.f64 (/.f64 1/3 (.f64 (pow.f64 (fma.f64 z 1/2 1) 3) (.f64 (pow.f64 z 3) (.f64 t (pow.f64 y 3))))) (/.f64 1/2 (.f64 (.f64 t (.f64 z z)) (.f64 (.f64 y y) (pow.f64 (fma.f64 z 1/2 1) 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (.f64 t z) (.f64 y (fma.f64 z 1/2 1)))) (/.f64 (+.f64 (log.f64 (.f64 z (fma.f64 z 1/2 1))) (log.f64 y)) t)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 (fma.f64 z 1/2 1) 3) (.f64 (pow.f64 z 3) (.f64 t (pow.f64 y 3))))) (/.f64 -1/2 (.f64 (.f64 t (.f64 z z)) (.f64 (.f64 y y) (pow.f64 (fma.f64 z 1/2 1) 2))))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 z (-.f64 (*.f64 -1/2 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 z (fma.f64 -1/2 z -1)))) t)
(/.f64 (-.f64 (log.f64 (*.f64 z (fma.f64 z -1/2 -1))) (log.f64 (/.f64 -1 y))) t)
(-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (.f64 -1/2 z) 1))) t)) (/.f64 1 (.f64 y (.f64 t (.f64 (-.f64 (*.f64 -1/2 z) 1) z)))))
(-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (.f64 z (fma.f64 -1/2 z -1))) t)) (/.f64 1 (.f64 y (.f64 (.f64 t z) (fma.f64 -1/2 z -1)))))
(+.f64 (-.f64 (/.f64 (log.f64 (.f64 z (fma.f64 z -1/2 -1))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1 (.f64 y (.f64 t (.f64 z (fma.f64 z -1/2 -1))))))
(+.f64 (/.f64 (-.f64 (log.f64 (.f64 z (fma.f64 z -1/2 -1))) (log.f64 (/.f64 -1 y))) t) (/.f64 (/.f64 -1 y) (.f64 t (*.f64 z (fma.f64 z -1/2 -1)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (.f64 -1/2 z) 1))) t)) (+.f64 (/.f64 1 (.f64 y (.f64 t (.f64 z (-.f64 (.f64 -1/2 z) 1))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 y 2) (.f64 t (.f64 (pow.f64 (-.f64 (.f64 -1/2 z) 1) 2) (pow.f64 z 2))))))))
(-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (.f64 z (fma.f64 -1/2 z -1))) t)) (+.f64 (/.f64 1 (.f64 y (.f64 (.f64 t z) (fma.f64 -1/2 z -1)))) (/.f64 1/2 (.f64 (.f64 (.f64 y y) t) (.f64 (*.f64 z z) (pow.f64 (fma.f64 -1/2 z -1) 2))))))
(+.f64 (-.f64 (/.f64 (log.f64 (.f64 z (fma.f64 z -1/2 -1))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)) (-.f64 (/.f64 -1 (.f64 y (.f64 t (.f64 z (fma.f64 z -1/2 -1))))) (/.f64 1/2 (.f64 (.f64 t (pow.f64 (fma.f64 z -1/2 -1) 2)) (.f64 z (.f64 z (*.f64 y y)))))))
(+.f64 (/.f64 (-.f64 (log.f64 (.f64 z (fma.f64 z -1/2 -1))) (log.f64 (/.f64 -1 y))) t) (-.f64 (/.f64 (/.f64 -1 y) (.f64 t (.f64 z (fma.f64 z -1/2 -1)))) (/.f64 1/2 (.f64 (.f64 t (pow.f64 (fma.f64 z -1/2 -1) 2)) (.f64 z (.f64 z (.f64 y y)))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (.f64 -1/2 z) 1))) t)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 t (.f64 (pow.f64 z 3) (pow.f64 (-.f64 (.f64 -1/2 z) 1) 3)))))) (+.f64 (/.f64 1 (.f64 y (.f64 t (.f64 z (-.f64 (.f64 -1/2 z) 1))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 y 2) (.f64 t (.f64 (pow.f64 (-.f64 (*.f64 -1/2 z) 1) 2) (pow.f64 z 2)))))))))
(-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (.f64 z (fma.f64 -1/2 z -1))) t)) (+.f64 (+.f64 (/.f64 1 (.f64 y (.f64 (.f64 t z) (fma.f64 -1/2 z -1)))) (/.f64 1/2 (.f64 (.f64 (.f64 y y) t) (.f64 (.f64 z z) (pow.f64 (fma.f64 -1/2 z -1) 2))))) (/.f64 1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 t (pow.f64 z 3)) (pow.f64 (fma.f64 -1/2 z -1) 3))))))
(-.f64 (-.f64 (/.f64 (log.f64 (.f64 z (fma.f64 z -1/2 -1))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 (/.f64 (/.f64 1 y) t) (.f64 z (fma.f64 z -1/2 -1))) (+.f64 (/.f64 1/2 (.f64 (.f64 t (pow.f64 (fma.f64 z -1/2 -1) 2)) (.f64 z (.f64 z (.f64 y y))))) (/.f64 1/3 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (fma.f64 z -1/2 -1) 3)) (.f64 t (pow.f64 y 3)))))))
(+.f64 (/.f64 (-.f64 (log.f64 (.f64 z (fma.f64 z -1/2 -1))) (log.f64 (/.f64 -1 y))) t) (+.f64 (-.f64 (/.f64 (/.f64 -1 y) (.f64 t (.f64 z (fma.f64 z -1/2 -1)))) (/.f64 1/2 (.f64 (.f64 t (pow.f64 (fma.f64 z -1/2 -1) 2)) (.f64 z (.f64 z (.f64 y y)))))) (/.f64 -1/3 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (fma.f64 z -1/2 -1) 3)) (*.f64 t (pow.f64 y 3))))))

eval639.0ms (3.3%)

Compiler: Compiled 31873 to 17801 computations (44.2% saved)

prune177.0ms (0.9%)

Pruning

31 alts after pruning (19 fresh and 12 done)

	Pruned	Kept	Total
New	920	9	929
Fresh	6	10	16
Picked	0	1	1
Done	1	11	12
Total	927	31	958

Error

Counts

958 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	18.4b	(-.f64 x (/.f64 1 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z))) (.f64 -1/4 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z)))))) (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))))
	53.7b	(/.f64 (*.f64 z y) (neg.f64 t))
	16.3b	(-.f64 x (*.f64 (/.f64 z t) y))
	8.6b	(fma.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)) x)
	21.9b	(-.f64 x (.f64 (/.f64 y t) (-.f64 z (.f64 (.f64 z z) (+.f64 -1/2 (.f64 z -1/6))))))
✓	19.7b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
	11.9b	(-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z))))))
✓	62.4b	(/.f64 (*.f64 z y) t)
	62.3b	(.f64 y (.f64 -1/2 (/.f64 z (/.f64 t z))))
	20.0b	x
	43.7b	(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
	16.3b	(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
✓	29.6b	(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t))
	52.9b	(*.f64 (neg.f64 y) (/.f64 z t))
	8.8b	(-.f64 x (/.f64 1 (/.f64 t (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))
	56.6b	(-.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (.f64 z (-.f64 (*.f64 -1/2 z) 1))) t)))
✓	18.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))))
✓	18.1b	(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
	27.4b	(-.f64 x (.f64 z (.f64 (*.f64 y z) (/.f64 1/2 t))))
	16.4b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
✓	1.5b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
✓	8.4b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
	47.7b	(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
✓	62.3b	(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
	16.0b	(-.f64 x (/.f64 1 (/.f64 (/.f64 t y) z)))
✓	1.8b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
✓	53.8b	(*.f64 z (/.f64 (neg.f64 y) t))
✓	1.5b	(-.f64 x (.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (/.f64 1 t)))
✓	1.5b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	62.6b	(*.f64 y (/.f64 z t))
	23.3b	(-.f64 x (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))

Compiler

Compiled 480 to 336 computations (30% saved)

regimes82.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	t
17.0ms	x
17.0ms	z
16.0ms	y

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`y`
1.5b	1	`z`
1.5b	1	`t`

Compiler

Compiled 380 to 200 computations (47.4% saved)

regimes131.0ms (0.7%)

Counts

24 → 3

Calls

Call 1

Inputs
x
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z y) t)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(/.f64 (*.f64 z y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 1 (/.f64 (/.f64 t y) z)))
(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
(.f64 y (.f64 -1/2 (/.f64 z (/.f64 t z))))
(-.f64 x (.f64 z (.f64 (*.f64 y z) (/.f64 1/2 t))))
(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (.f64 (/.f64 y t) (-.f64 z (.f64 (.f64 z z) (+.f64 -1/2 (.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z))) (.f64 -1/4 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z)))))) (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(fma.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)) x)

Outputs

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

(fma.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)) x)

(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 1/2 z))))) t))

Calls

4 calls:

58.0ms	y
26.0ms	z
25.0ms	x
14.0ms	t

Results

Error	Segments	Branch
7.1b	2	`x`
4.3b	3	`y`
5.4b	2	`z`
8.4b	1	`t`

Compiler

Compiled 285 to 158 computations (44.6% saved)

bsearch134.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	6.407816591180857e+21	1.9854923049850388e+24
55.0ms	-173.48997110354924	-2.862946819178548e-9

Compiler

Compiled 280 to 194 computations (30.7% saved)

regimes154.0ms (0.8%)

Counts

23 → 3

Calls

Call 1

Inputs
x
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z y) t)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(/.f64 (*.f64 z y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 1 (/.f64 (/.f64 t y) z)))
(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
(.f64 y (.f64 -1/2 (/.f64 z (/.f64 t z))))
(-.f64 x (.f64 z (.f64 (*.f64 y z) (/.f64 1/2 t))))
(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (.f64 (/.f64 y t) (-.f64 z (.f64 (.f64 z z) (+.f64 -1/2 (.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z))) (.f64 -1/4 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z)))))) (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t))
(-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)

Outputs

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

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

(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 y (*.f64 1/2 z))))) t))

Calls

4 calls:

45.0ms	x
37.0ms	y
35.0ms	t
28.0ms	z

Results

Error	Segments	Branch
7.1b	2	`x`
4.3b	3	`y`
5.4b	2	`z`
8.4b	1	`t`

Compiler

Compiled 277 to 156 computations (43.7% saved)

bsearch162.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	6.407816591180857e+21	1.9854923049850388e+24
54.0ms	-173.48997110354924	-2.862946819178548e-9

Compiler

Compiled 280 to 194 computations (30.7% saved)

regimes176.0ms (0.9%)

Counts

20 → 2

Calls

Call 1

Inputs
x
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z y) t)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(/.f64 (*.f64 z y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 1 (/.f64 (/.f64 t y) z)))
(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
(.f64 y (.f64 -1/2 (/.f64 z (/.f64 t z))))
(-.f64 x (.f64 z (.f64 (*.f64 y z) (/.f64 1/2 t))))
(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (.f64 (/.f64 y t) (-.f64 z (.f64 (.f64 z z) (+.f64 -1/2 (.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z))) (.f64 -1/4 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z)))))) (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
(-.f64 x (/.f64 (log1p.f64 (.f64 y (.f64 1/2 (*.f64 z z)))) t))

Outputs
(-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z))))))
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))

Calls

4 calls:

53.0ms	x
42.0ms	z
42.0ms	y
32.0ms	t

Results

Error	Segments	Branch
7.1b	2	`x`
5.7b	2	`y`
7.0b	2	`z`
8.4b	1	`t`

Compiler

Compiled 239 to 134 computations (43.9% saved)

bsearch91.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
91.0ms	-173.48997110354924	-2.862946819178548e-9

Compiler

Compiled 24 to 18 computations (25% saved)

regimes256.0ms (1.3%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 z y) t)
(*.f64 z (/.f64 (neg.f64 y) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(/.f64 (*.f64 z y) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 1 (/.f64 (/.f64 t y) z)))
(.f64 y (.f64 (*.f64 z z) (/.f64 -1/2 t)))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(-.f64 x (.f64 y (.f64 z (/.f64 1 t))))
(.f64 y (.f64 -1/2 (/.f64 z (/.f64 t z))))
(-.f64 x (.f64 z (.f64 (*.f64 y z) (/.f64 1/2 t))))
(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z)) t))
(-.f64 x (.f64 (/.f64 y t) (-.f64 z (.f64 (.f64 z z) (+.f64 -1/2 (.f64 z -1/6))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z))))))
(-.f64 x (/.f64 1 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z))) (.f64 -1/4 (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 t z)))))) (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))

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

Calls

4 calls:

69.0ms	t
39.0ms	y
31.0ms	z
10.0ms	x

Results

Error	Segments	Branch
11.9b	1	`x`
11.9b	1	`y`
10.6b	3	`z`
11.9b	1	`t`

Compiler

Compiled 219 to 126 computations (42.5% saved)

bsearch452.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
196.0ms	5.680952625312589e-233	1.5368867834036403e-232
256.0ms	-1.4005213089897711e+26	-1.6621484405041414e+24

Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes307.0ms (1.6%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

148.0ms	y
65.0ms	x
48.0ms	t
41.0ms	z

Results

Error	Segments	Branch
12.2b	3	`x`
12.3b	4	`y`
11.1b	2	`z`
14.4b	3	`t`

Compiler

Compiled 146 to 78 computations (46.6% saved)

bsearch366.0ms (1.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
366.0ms	-1.4005213089897711e+26	-1.6621484405041414e+24

Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes47.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	y
15.0ms	x
8.0ms	z
5.0ms	t

Results

Error	Segments	Branch
17.7b	3	`x`
18.8b	3	`y`
20.0b	1	`z`
20.0b	1	`t`

Compiler

Compiled 53 to 30 computations (43.4% saved)

bsearch345.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
141.0ms	3.8516088628711375e-173	2.7753796098304577e-165
204.0ms	-1.3865486965715162e-282	-2.2273717676322216e-284

Compiler

Compiled 24 to 18 computations (25% saved)

regimes50.0ms (0.3%)

Accuracy

Total -42.6b remaining (-213.2%)

Threshold costs -42.6b (-213.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

35.0ms	y
5.0ms	t
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
20.0b	1	`x`
20.0b	1	`y`
20.0b	1	`z`
20.0b	1	`t`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64`
21×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	298
1	95	298
2	134	298
3	162	298
4	178	298
5	183	298

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))) (if (<=.f64 y 1949999999999999886753792) (fma.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)) x) (-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))) (if (<=.f64 y 1949999999999999886753792) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))))
(if (<=.f64 z -139999999999999999798673408) x (if (<=.f64 z 1626962564017353216/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (-.f64 x (.f64 (/.f64 z t) y)) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))))))))
(if (<=.f64 z -139999999999999999798673408) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 x -58035111822628112/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) x (if (<=.f64 x 5362773656969273/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 z (/.f64 (neg.f64 y) t)) x))
x

Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))) (if (<=.f64 y 1949999999999999886753792) (fma.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)) x) (-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 t 1/2) (/.f64 t (.f64 (+.f64 1 (.f64 z 1/2)) (.f64 y z)))))) (if (<=.f64 y 1949999999999999886753792) (fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) (-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 z 1/2))))) t))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))) (if (<=.f64 y 1949999999999999886753792) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 1/2 z))))) t))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 t 1/2) (/.f64 t (.f64 (+.f64 1 (.f64 z 1/2)) (.f64 y z)))))) (if (<=.f64 y 1949999999999999886753792) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 y (*.f64 z 1/2))))) t))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (.f64 y z)))))) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))))
(if (<=.f64 y -1526033924246997/8796093022208) (-.f64 x (/.f64 1 (+.f64 (.f64 t 1/2) (/.f64 t (.f64 (+.f64 1 (.f64 z 1/2)) (.f64 y z)))))) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))))
(if (<=.f64 z -139999999999999999798673408) x (if (<=.f64 z 1626962564017353216/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (-.f64 x (.f64 (/.f64 z t) y)) (-.f64 x (/.f64 1 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 (+.f64 1 (.f64 1/2 z)) (*.f64 y z))))))))
(if (<=.f64 z -139999999999999999798673408) x (if (<=.f64 z 3177661257846393/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (-.f64 x (.f64 y (/.f64 z t))) (-.f64 x (/.f64 1 (+.f64 (.f64 t 1/2) (/.f64 t (.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 y z))))))))
(if (<=.f64 z -139999999999999999798673408) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -139999999999999999798673408) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 x -58035111822628112/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) x (if (<=.f64 x 5362773656969273/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 z (/.f64 (neg.f64 y) t)) x))
(if (<=.f64 x -3627194488914257/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056) x (if (<=.f64 x 5362773656969273/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) (*.f64 z (/.f64 (neg.f64 y) t)) x))
x

end218.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 440 to 270 computations (38.6% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324