Details

analyze1.6s (15%)

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
14.9%	78.7%	6.4%	13
17.4%	76.2%	6.4%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample6.2s (56.8%)

Results

2.0s	1589×	body	8192	exit
1.5s	1912×	body	1024	valid
730.0ms	3791×	body	128	valid
682.0ms	1447×	body	512	valid
370.0ms	298×	body	2048	valid
320.0ms	1859×	body	128	invalid
256.0ms	808×	body	256	valid
117.0ms	274×	body	512	invalid
107.0ms	200×	body	1024	invalid
48.0ms	166×	body	256	invalid

Compiler

Compiled 36 to 26 computations (27.8% saved)

preprocess52.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

471×	`fma-neg_binary64`
400×	`fma-def_binary64`
360×	`sub-neg_binary64`
211×	`cancel-sign-sub-inv_binary64`
190×	`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
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 17 to 12 computations (29.4% saved)

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-def_binary64`
369×	`fma-neg_binary64`
355×	`div-sub_binary64`
287×	`sub-neg_binary64`
210×	`distribute-rgt-in_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

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))

prune3.0ms (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

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓	0.0b	(*.f64 y (expm1.f64 z))
✓	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	2.7b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

series107.0ms (1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
30.0ms	z	@	-inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
29.0ms	z	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
14.0ms	t	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
12.0ms	t	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
3.0ms	y	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`prod-diff_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
110×	`add-sqr-sqrt_binary64`
110×	`pow1_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 → 168

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
((#(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 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)) (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 (cbrt.f64 (pow.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 (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 (/.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))))) (#(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 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.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)))) (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 (cbrt.f64 (pow.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 pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.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)))))) (#(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 -.f64 (exp.f64 (log1p.f64 (log1p.f64 (.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (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 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 (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 (log1p.f64 (.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (.f64 y (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))))))
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simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

480×	`sub-neg_binary64`
305×	`fma-def_binary64`
276×	`+-commutative_binary64`
275×	`associate-+r+_binary64`
236×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3764
1	1042	3317
2	4075	3303

Stop Event

1×	node limit

Counts

300 → 274

Calls

Call 1

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

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

prune286.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	266	8	274
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	8	275

Error

0.2b

Counts

275 → 8

Alt Table

Status	Error	Program
	39.4b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (neg.f64 (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t))) (.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))
	10.1b	(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))
▶	0.4b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
	17.6b	(-.f64 x (/.f64 (log1p.f64 (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (fma.f64 y z (fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 y (*.f64 (pow.f64 z 3) 1/6)))))) t))
	13.1b	(-.f64 x (/.f64 (log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) t))
	22.9b	(-.f64 x (.f64 (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
	6.5b	(-.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)))
	6.5b	(-.f64 x (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (.f64 y (expm1.f64 z))) 2)) (.f64 (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 1 t))))

Compiler

Compiled 9490 to 3864 computations (59.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (expm1.f64 z))
	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	0.6b	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓	2.7b	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

series83.0ms (0.8%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
50.0ms	y	@	0	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
7.0ms	y	@	-inf	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
7.0ms	y	@	inf	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
6.0ms	y	@	0	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	y	@	inf	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`expm1-log1p-u_binary64`
879×	`log1p-expm1-u_binary64`
99×	`add-sqr-sqrt_binary64`
98×	`pow1_binary64`
96×	`*-un-lft-identity_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 → 76

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
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Outputs

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(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 expm1.f64 (log1p.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 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t)))))))

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-/l*_binary64`
687×	`fma-def_binary64`
255×	`*-commutative_binary64`
234×	`+-commutative_binary64`
200×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	789	8170
1	2888	7767

Stop Event

1×	node limit

Counts

148 → 143

Calls

Call 1

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

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

prune356.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	209	4	213
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	213	8	221

Error

0.2b

Counts

221 → 8

Alt Table

Status	Error	Program
✓	0.4b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
▶	0.4b	(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
	17.6b	(-.f64 x (/.f64 (log1p.f64 (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (fma.f64 y z (fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 y (*.f64 (pow.f64 z 3) 1/6)))))) t))
	22.8b	(-.f64 x (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
	6.5b	(-.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)))
	31.3b	(-.f64 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))))
	10.1b	(-.f64 x (pow.f64 (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) -1))
	10.1b	(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))

Compiler

Compiled 13885 to 8271 computations (40.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (expm1.f64 z))
✓	0.2b	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	3.3b	(/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))

series14.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	y	@	inf	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	y	@	-inf	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	z	@	0	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	z	@	inf	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary64`
227×	`prod-diff_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`
173×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	226	22
2	2841	22

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

361×	`associate-+r+_binary64`
305×	`associate-r_binary64`
255×	`fma-def_binary64`
248×	`associate-+l+_binary64`
247×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	390	3325
1	1233	3069

Stop Event

1×	node limit

Counts

125 → 132

Calls

Call 1

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

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

prune248.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	202	8	210

Error

0.2b

Counts

210 → 8

Alt Table

Status	Error	Program
✓	0.4b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
✓	0.4b	(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
	17.6b	(-.f64 x (/.f64 (log1p.f64 (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (fma.f64 y z (fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 y (*.f64 (pow.f64 z 3) 1/6)))))) t))
	22.8b	(-.f64 x (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
▶	6.5b	(-.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)))
	31.3b	(-.f64 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))))
	10.1b	(-.f64 x (pow.f64 (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) -1))
	10.1b	(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))

Compiler

Compiled 7621 to 4529 computations (40.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log1p.f64 (*.f64 y (expm1.f64 z)))
✓	0.3b	(.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))
✓	11.4b	(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
✓	30.5b	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))

series88.0ms (0.8%)

Counts

3 → 68

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	y	@	inf	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
13.0ms	y	@	0	(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
12.0ms	y	@	0	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
10.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
9.0ms	z	@	0	(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

228×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
196×	`log-pow_binary64`
132×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	305	34
2	3303	34

Stop Event

1×	node limit

Counts

3 → 107

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

Outputs

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((#(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))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 t (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 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simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

483×	`fma-def_binary64`
399×	`associate-/r*_binary64`
318×	`associate-*r/_binary64`
310×	`associate-l_binary64`
274×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	6947
1	1702	6035

Stop Event

1×	node limit

Counts

175 → 177

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 2) 1/3)
(-.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 2) 1/3) (.f64 2/3 (.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 y (-.f64 (exp.f64 z) 1))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 4)) 1/9)))) (.f64 2/3 (.f64 (/.f64 (log.f64 (/.f64 1 y)) (.f64 y (-.f64 (exp.f64 z) 1))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 4)) 1/9))))
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(pow.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2) 1/3)
(-.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2) 1/3) (.f64 2/3 (.f64 (/.f64 (log.f64 (/.f64 -1 y)) (.f64 (-.f64 1 (exp.f64 z)) y)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 4)) 1/9)))) (.f64 2/3 (.f64 (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) (.f64 (-.f64 1 (exp.f64 z)) y)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 4)) 1/9))))
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(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 2) 1/3)
(pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 1/3)
(+.f64 (.f64 1/3 (.f64 (/.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 2)) 1/9))) (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 y (-.f64 (exp.f64 z) 1))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 2)) 1/9))) (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 1/3)) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 7)) 1/9))) (.f64 1/6 (.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) 2)) 1/3)))))
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(pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 1/3)
(-.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 1/3) (.f64 1/3 (.f64 (/.f64 1 (*.f64 (-.f64 1 (exp.f64 z)) y)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/9))))
(-.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 1/3) (+.f64 (.f64 1/6 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 7)) 1/9))) (.f64 1/3 (.f64 (/.f64 1 (*.f64 (-.f64 1 (exp.f64 z)) y)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/9))))))
(-.f64 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 1/3) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 7)) 1/9))) (+.f64 (.f64 1/6 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2) (pow.f64 y 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 11)) 1/9))) (+.f64 (.f64 5/81 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 4)) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3) (pow.f64 y 3))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/3))) (.f64 1/3 (.f64 (/.f64 1 (.f64 (-.f64 1 (exp.f64 z)) y)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/9)))))))))
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(pow.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) 1/3)
(/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 z)) t) (/.f64 (.f64 y (exp.f64 z)) t)) (+.f64 (/.f64 y t) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) t)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)) t)))))
(-.f64 (+.f64 (/.f64 (.f64 y (exp.f64 z)) t) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 z)) t) (+.f64 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 z)) t) (.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) t))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) t)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 3) t)) (+.f64 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 2)) t) (+.f64 (/.f64 y t) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)) t)))))))
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(/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 (/.f64 1 y))) t)
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 1 (.f64 y (.f64 t (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (/.f64 1 y)) t))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (/.f64 1 (.f64 y (.f64 t (-.f64 (exp.f64 z) 1))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 y 2) (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 (log.f64 (/.f64 1 y)) t)))
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(/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)
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(/.f64 (*.f64 y z) t)
(-.f64 (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (.f64 y (pow.f64 z 2)) t))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)))
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(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)
(/.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 y (exp.f64 z))) y)) t)

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

prune407.0ms (3.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	275	8	283

Error

0.2b

Counts

283 → 8

Alt Table

Status	Error	Program
✓	0.4b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
✓	0.4b	(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
	17.6b	(-.f64 x (/.f64 (log1p.f64 (fma.f64 1/24 (.f64 y (pow.f64 z 4)) (fma.f64 y z (fma.f64 1/2 (.f64 y (.f64 z z)) (.f64 y (*.f64 (pow.f64 z 3) 1/6)))))) t))
	22.8b	(-.f64 x (/.f64 (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))))))
✓	6.5b	(-.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)))
	0.7b	(-.f64 x (/.f64 (cbrt.f64 (log1p.f64 (.f64 y (expm1.f64 z)))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) t)))
	10.1b	(-.f64 x (pow.f64 (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) -1))
	10.1b	(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))

Compiler

Compiled 14432 to 8302 computations (42.5% saved)

regimes630.0ms (5.8%)

Accuracy

Total 0.2b remaining (19%)

Threshold costs 0.2b (19%)

Counts

149 → 1

Compiler

Compiled 2377 to 1010 computations (57.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`distribute-rgt-neg-in_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`distribute-lft-neg-in_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	23	17
2	35	17
3	58	17
4	78	17
5	85	17

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end121.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 200 to 136 computations (32% saved)

Details

analyze1.6s (15%)

sample6.2s (56.8%)

preprocess52.0ms (0.5%)

simplify45.0ms (0.4%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series107.0ms (1%)

rewrite83.0ms (0.8%)

simplify83.0ms (0.8%)

prune286.0ms (2.6%)

localize11.0ms (0.1%)

series83.0ms (0.8%)

rewrite53.0ms (0.5%)

simplify106.0ms (1%)

prune356.0ms (3.3%)

localize9.0ms (0.1%)

series14.0ms (0.1%)

rewrite46.0ms (0.4%)

simplify50.0ms (0.5%)

prune248.0ms (2.3%)

localize14.0ms (0.1%)

series88.0ms (0.8%)

rewrite60.0ms (0.6%)

simplify86.0ms (0.8%)

prune407.0ms (3.8%)

regimes630.0ms (5.8%)

simplify3.0ms (0%)

end121.0ms (1.1%)

Profiling