Details

analyze610.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample6.2s (30%)

Results

2.0s	1621×	body	8192	exit
1.4s	1894×	body	1024	valid
1.3s	4670×	body	256	valid
564.0ms	1401×	body	512	valid
398.0ms	291×	body	2048	valid
285.0ms	1986×	body	256	invalid
124.0ms	255×	body	512	invalid
98.0ms	217×	body	1024	invalid
5.0ms	35×	body	256	infinite

Bogosity

preprocess94.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1100×	`associate-+l-`
844×	`associate-*r/`
804×	`associate--l+`
798×	`associate-+r-`
786×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	273
1	96	245
2	238	231
3	502	231
4	1084	189
5	2906	189
6	5231	189
7	6653	189
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 (fma.f64 y (exp.f64 z) (neg.f64 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 (fma.f64 y (exp.f64 x) (neg.f64 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 (fma.f64 y (exp.f64 z) (neg.f64 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 (*.f64 (exp.f64 z) t) t)) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 t) (neg.f64 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def`
920×	`*-commutative`
798×	`associate--r+`
782×	`associate-/l*`
728×	`associate-+l-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	25	35
2	51	33
3	98	33
4	205	27
5	506	27
6	1005	27
7	1240	27
8	1353	27
9	1632	27
10	2449	27
11	4905	27
12	5557	27
13	6096	27
14	6879	27
15	7662	27

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.4b

Counts

6 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series111.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
61.0ms	z	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
21.0ms	z	@	-inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
12.0ms	t	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
9.0ms	t	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
2.0ms	y	@	-inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1944×	`*-un-lft-identity`
1796×	`add-cube-cbrt`
1768×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	197	47
2	2426	47

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

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

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 (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 (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 (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 (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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(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 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 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)))) 1) (/.f64 (sqrt.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 (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 (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 (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 pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(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 (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) 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 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 log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))

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

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

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1788×	`associate-/r*`
1502×	`associate-*r/`
1194×	`associate-*l/`
1094×	`associate-+l+`
866×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	4585
1	813	4321
2	3527	4321

Stop Event

1×	node limit

Counts

145 → 201

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

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

eval102.0ms (0.5%)

Compiler: Compiled 4827 to 2385 computations (50.6% saved)

prune50.0ms (0.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	185	16	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	17	202

Error

Counts

202 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
	1.7b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
	44.9b	(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
	17.4b	(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
	17.2b	(-.f64 x (/.f64 (*.f64 y z) t))
	1.6b	(-.f64 x (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3)) t))
	12.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶	1.5b	(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
	11.9b	(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y)))
	20.2b	(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
	17.1b	(-.f64 x (/.f64 z (/.f64 t y)))
	15.4b	(-.f64 x (/.f64 y (/.f64 t z)))
▶	9.7b	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
▶	17.3b	(-.f64 x (*.f64 (/.f64 y t) z))
▶	1.5b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	24.7b	(-.f64 x (exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))

Compiler

Compiled 449 to 317 computations (29.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
✓	4.0b	(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`*-commutative`
792×	`unswap-sqr`
608×	`swap-sqr`
520×	`associate-*r/`
418×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	231	21
2	2688	21

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

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

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-*r/`
1168×	`associate-/l/`
1138×	`associate-*l/`
908×	`associate-/r/`
840×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	289	4236
1	755	4122
2	2819	4122

Stop Event

1×	node limit

Counts

102 → 173

Calls

Call 1

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

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 y t) z))
✓	4.4b	(*.f64 (/.f64 y t) z)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`associate-*r/`
1058×	`*-commutative`
1010×	`associate-/r*`
980×	`associate-*l/`
764×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	199	32
2	2832	32

Stop Event

1×	node limit

Counts

2 → 243

Calls

Call 1

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

Outputs

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simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-/l*`
692×	`associate-r`
656×	`times-frac`
590×	`associate-l`
588×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	13133
1	1691	12177

Stop Event

1×	node limit

Counts

327 → 369

Calls

Call 1

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series24.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	z	@	0	(/.f64 (expm1.f64 z) t)
0.0ms	t	@	inf	(*.f64 (/.f64 (expm1.f64 z) t) y)
0.0ms	x	@	0	(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y))
0.0ms	z	@	0	(*.f64 (/.f64 (expm1.f64 z) t) y)
0.0ms	z	@	inf	(*.f64 (/.f64 (expm1.f64 z) t) y)

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`associate-*r/`
1304×	`associate-*l/`
1044×	`associate-/r*`
780×	`associate-/l*`
250×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	234	51
2	3218	51

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify167.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1550×	`associate-/l*`
782×	`associate-r`
712×	`associate-l`
626×	`associate-/l/`
578×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	748	16270
1	1911	15048

Stop Event

1×	node limit

Counts

394 → 458

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
✓	0.6b	(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)
✓	3.9b	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series19.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`*-commutative`
814×	`associate-/r*`
778×	`unswap-sqr`
662×	`associate-*r/`
628×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	242	42
2	2895	42

Stop Event

1×	node limit

Counts

2 → 222

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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simplify181.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-r`
1100×	`associate-/l*`
1060×	`associate-l`
1042×	`*-commutative`
974×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	813	19906
1	2408	19860

Stop Event

1×	node limit

Counts

294 → 444

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
	0.0b	(*.f64 y (expm1.f64 z))
✓	0.2b	(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓	3.9b	(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)

Compiler

Compiled 52 to 11 computations (78.8% saved)

series117.0ms (0.6%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
98.0ms	z	@	-inf	(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
13.0ms	z	@	inf	(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	y	@	inf	(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	y	@	-inf	(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	z	@	0	(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite129.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`*-commutative`
716×	`unswap-sqr`
616×	`associate-/r*`
598×	`swap-sqr`
594×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	235	55
2	2657	55

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-r`
942×	`associate-l`
728×	`fma-def`
580×	`associate-+r-`
536×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	9389
1	1542	8757
2	7034	8757

Stop Event

1×	node limit

Counts

211 → 296

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

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

eval1.0s (5.1%)

Compiler: Compiled 53234 to 20697 computations (61.1% saved)

prune978.0ms (4.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1955	15	1970
Fresh	6	5	11
Picked	1	0	1
Done	4	1	5
Total	1966	21	1987

Error

Counts

1987 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	16.7b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
	15.8b	(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y (/.f64 z t)))))
▶	12.1b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
	1.7b	(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3))
	17.2b	(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
	44.9b	(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
	11.7b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
▶	17.2b	(-.f64 x (/.f64 (*.f64 z y) t))
	1.6b	(-.f64 x (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3)) t))
	12.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.1b	(-.f64 x (/.f64 z (/.f64 t y)))
	15.4b	(-.f64 x (/.f64 y (/.f64 t z)))
	17.2b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
▶	1.5b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
	10.9b	(-.f64 x (-.f64 (/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t) (pow.f64 t -1)))
	15.7b	(-.f64 x (*.f64 (/.f64 z t) y))
	12.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
▶	51.2b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
▶	54.4b	(*.f64 (/.f64 y t) (neg.f64 z))
	18.8b	x

Compiler

Compiled 528 to 373 computations (29.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (*.f64 y (expm1.f64 z)))
	0.0b	(*.f64 y (expm1.f64 z))
✓	0.6b	(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
	3.9b	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	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	@	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)))))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`*-commutative`
1016×	`associate-/r*`
948×	`associate-*r/`
670×	`associate-*l/`
648×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	238	21
2	2897	21

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-*r/`
1026×	`associate-/l*`
940×	`associate-/r*`
896×	`associate-*l/`
680×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3580
1	650	3470
2	2312	3454

Stop Event

1×	node limit

Counts

94 → 141

Calls

Call 1

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(*.f64 (/.f64 y t) (neg.f64 z))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`add-sqr-sqrt`
1778×	`*-un-lft-identity`
1650×	`add-cube-cbrt`
1624×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	13
2	2530	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1490×	`associate-/r/`
1094×	`associate-r`
980×	`associate-l`
604×	`associate-+r+`
562×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	949
1	150	949
2	593	949
3	4220	949

Stop Event

1×	node limit

Counts

61 → 31

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 z y) t))
✓	4.8b	(/.f64 (*.f64 z y) t)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-*r/`
1510×	`associate-/r*`
1288×	`associate-/l*`
1056×	`*-commutative`
984×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	196	32
2	2824	32

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1568×	`distribute-lft-in`
1484×	`associate-/r/`
826×	`associate-+r+`
672×	`associate-+l+`
478×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	8540
1	945	8044
2	4591	7848

Stop Event

1×	node limit

Counts

238 → 217

Calls

Call 1

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (expm1.f64 z) t)
✓	2.7b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1930×	`*-un-lft-identity`
1790×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
208×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	205	17
2	2721	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))

Outputs

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-+r+`
1044×	`associate-r`
886×	`associate-l`
828×	`associate-+l+`
808×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1339
1	233	1333
2	835	1333
3	5475	1333

Stop Event

1×	node limit

Counts

61 → 47

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
✓	0.7b	(pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1)
✓	3.4b	(log1p.f64 (*.f64 z y))
✓	3.9b	(/.f64 t (log1p.f64 (*.f64 z y)))

Compiler

Compiled 40 to 13 computations (67.5% saved)

series82.0ms (0.4%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
44.0ms	t	@	0	(/.f64 t (log1p.f64 (*.f64 z y)))
4.0ms	t	@	inf	(/.f64 t (log1p.f64 (*.f64 z y)))
4.0ms	z	@	inf	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1))
2.0ms	y	@	-inf	(pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1)
2.0ms	t	@	-inf	(pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1)

rewrite158.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`associate-*r/`
1016×	`associate-/r*`
986×	`associate-*l/`
680×	`associate-/l*`
460×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	276	68
2	3549	68

Stop Event

1×	node limit

Counts

4 → 313

Calls

Call 1

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

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

simplify303.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1094×	`+-commutative`
1000×	`associate-*r/`
782×	`associate-*l/`
766×	`associate-+r+`
754×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1260	35497
1	3839	35323

Stop Event

1×	node limit

Counts

457 → 696

Calls

Call 1

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

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

eval758.0ms (3.7%)

Compiler: Compiled 46101 to 19781 computations (57.1% saved)

prune489.0ms (2.4%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1385	16	1401
Fresh	6	9	15
Picked	1	0	1
Done	1	4	5
Total	1393	29	1422

Error

Counts

1422 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
	16.7b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3)
	52.4b	(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
	54.9b	(/.f64 (*.f64 y z) (neg.f64 t))
▶	62.1b	(/.f64 (*.f64 y z) t)
	52.0b	(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))
	53.6b	(/.f64 (neg.f64 y) (/.f64 t z))
	17.4b	(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (/.f64 y t)))))
	12.0b	(-.f64 x (pow.f64 (+.f64 (.f64 1/2 t) (/.f64 t (.f64 y z))) -1))
	24.1b	(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
	23.4b	(-.f64 x (/.f64 (/.f64 (log1p.f64 (.f64 z y)) (cbrt.f64 (.f64 t t))) (cbrt.f64 t)))
▶	17.2b	(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
	44.9b	(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
	11.7b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
▶	12.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.1b	(-.f64 x (/.f64 z (/.f64 t y)))
	17.2b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
	12.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
✓	1.5b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
▶	8.1b	(-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2))))
	10.9b	(-.f64 x (-.f64 (/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t) (pow.f64 t -1)))
	23.0b	(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (.f64 -1/2 (/.f64 (.f64 y y) (/.f64 t (*.f64 z z))))))
	12.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
	17.2b	(-.f64 x (.f64 (/.f64 -1 t) (.f64 z (neg.f64 y))))
✓	51.2b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
	53.6b	(*.f64 (/.f64 z t) (neg.f64 y))
✓	54.4b	(*.f64 (/.f64 y t) (neg.f64 z))
	18.8b	x

Compiler

Compiled 726 to 511 computations (29.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2))
✓	0.0b	(*.f64 (expm1.f64 z) y)
✓	0.6b	(/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))
✓	3.9b	(/.f64 t (*.f64 (expm1.f64 z) y))

Compiler

Compiled 61 to 25 computations (59% saved)

series12.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))
1.0ms	z	@	-inf	(/.f64 t (*.f64 (expm1.f64 z) y))
1.0ms	t	@	inf	(/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))
1.0ms	t	@	0	(/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))
1.0ms	z	@	inf	(/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`associate-/l*`
644×	`distribute-rgt-in`
606×	`distribute-lft-in`
474×	`distribute-lft-neg-in`
396×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	291	84
2	3839	84

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

Inputs
(/.f64 t (*.f64 (expm1.f64 z) y))
(/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))
(*.f64 (expm1.f64 z) y)
(+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (/.f64 1 (.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t (.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 t (.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (/.f64 1 (.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 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simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-r`
1014×	`associate-l`
848×	`*-commutative`
678×	`associate-/r*`
650×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	17066
1	2046	16782

Stop Event

1×	node limit

Counts

352 → 444

Calls

Call 1

Inputs
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
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(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y z))
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(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
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(/.f64 2 t)
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(*.f64 y z)
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(*.f64 (-.f64 (exp.f64 z) 1) y)
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(*.f64 (-.f64 (exp.f64 z) 1) y)
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(.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t)
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(/.f64 t (*.f64 y z))
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(fma.f64 1 (.f64 t 1/2) (/.f64 t (.f64 (expm1.f64 z) y)))
(fma.f64 1/2 t (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 (sqrt.f64 (.f64 t 1/2)) (sqrt.f64 (.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 (sqrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (*.f64 t 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 t 1/2)) 2) (cbrt.f64 (.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (*.f64 t 1/2))

Outputs
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 y z))
(/.f64 t (*.f64 z y))
(/.f64 (/.f64 t z) y)
(+.f64 (.f64 -1/2 (/.f64 t y)) (/.f64 t (.f64 y z)))
(fma.f64 -1/2 (/.f64 t y) (/.f64 t (*.f64 z y)))
(fma.f64 -1/2 (/.f64 t y) (/.f64 (/.f64 t z) y))
(+.f64 (.f64 -1/2 (/.f64 t y)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y))) z)) (/.f64 t (.f64 y z))))
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (.f64 z (/.f64 (.f64 -1/12 t) y)) (/.f64 t (*.f64 z y))))
(+.f64 (.f64 z (.f64 1/12 (/.f64 t y))) (fma.f64 -1/2 (/.f64 t y) (/.f64 (/.f64 t z) y)))
(+.f64 (.f64 -1/2 (/.f64 t y)) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/24 (/.f64 t y)) (+.f64 (.f64 -1/12 (/.f64 t y)) (.f64 -1/2 (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y)))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z)))))
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (.f64 (.f64 z z) (fma.f64 1/24 (/.f64 t y) (fma.f64 -1/2 (/.f64 (.f64 -1/12 t) y) (/.f64 (.f64 -1/12 t) y)))) (fma.f64 -1 (.f64 z (/.f64 (.f64 -1/12 t) y)) (/.f64 t (*.f64 z y)))))
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (.f64 z (.f64 z (fma.f64 1/24 (/.f64 t y) (.f64 (/.f64 t y) -1/24)))) (+.f64 (/.f64 (/.f64 t z) y) (.f64 z (*.f64 1/12 (/.f64 t y))))))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(/.f64 t (*.f64 y (expm1.f64 z)))
(/.f64 (/.f64 t y) (expm1.f64 z))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y))) t))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 y t) z)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) (.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 t 2))) (/.f64 (.f64 y z) t))
(fma.f64 -1 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (/.f64 (.f64 t t) (.f64 (.f64 z z) (*.f64 y y)))) (/.f64 y (/.f64 t z)))
(fma.f64 -1 (.f64 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (.f64 t t)) (.f64 y (.f64 z (.f64 z y)))) (*.f64 (/.f64 y t) z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y)))) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) 2) (pow.f64 y 3)) (pow.f64 t 3)))) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) (.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 t 2))) (/.f64 (.f64 y z) t)))
(fma.f64 -1 (.f64 (pow.f64 z 3) (.f64 -1 (+.f64 (/.f64 (/.f64 (.f64 -1/12 t) y) (/.f64 (.f64 t t) (.f64 y y))) (/.f64 (pow.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) 2) (/.f64 (pow.f64 t 3) (pow.f64 y 3)))))) (fma.f64 -1 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (/.f64 (.f64 t t) (.f64 (.f64 z z) (*.f64 y y)))) (/.f64 y (/.f64 t z))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (.f64 t t)) (.f64 y (.f64 z (.f64 z y)))) (.f64 (/.f64 y t) z)) (.f64 (pow.f64 z 3) (.f64 1 (+.f64 (/.f64 (pow.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) 2) (/.f64 (pow.f64 t 3) (pow.f64 y 3))) (/.f64 (.f64 y y) (/.f64 (/.f64 (.f64 t t) (/.f64 t y)) -1/12))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y)))) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) 2) (pow.f64 y 3)) (pow.f64 t 3)))) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) (.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 t 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) (.f64 (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y))) (pow.f64 y 3))) (pow.f64 t 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/24 (/.f64 t y)) (+.f64 (.f64 -1/2 (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y)))) (.f64 -1/12 (/.f64 t y))))) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) (.f64 y (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 t y)) (.f64 1/6 (/.f64 t y))) (pow.f64 y 2)) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 t y))) 2) (pow.f64 y 3)) (pow.f64 t 3)))))) t)))) (pow.f64 z 4))) (/.f64 (.f64 y z) t))))
(fma.f64 -1 (.f64 (pow.f64 z 3) (.f64 -1 (+.f64 (/.f64 (/.f64 (.f64 -1/12 t) y) (/.f64 (.f64 t t) (.f64 y y))) (/.f64 (pow.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) 2) (/.f64 (pow.f64 t 3) (pow.f64 y 3)))))) (fma.f64 -1 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (/.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 y y)))) (fma.f64 -1 (.f64 (+.f64 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (/.f64 (pow.f64 t 3) (.f64 (/.f64 (.f64 -1/12 t) y) (pow.f64 y 3)))) (fma.f64 -1 (/.f64 (.f64 y y) (/.f64 (.f64 t t) (fma.f64 1/24 (/.f64 t y) (fma.f64 -1/2 (/.f64 (.f64 -1/12 t) y) (/.f64 (.f64 -1/12 t) y))))) (neg.f64 (/.f64 (.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (.f64 y (.f64 -1 (+.f64 (/.f64 (/.f64 (.f64 -1/12 t) y) (/.f64 (.f64 t t) (.f64 y y))) (/.f64 (pow.f64 (*.f64 1/2 (-.f64 t (/.f64 t y))) 2) (/.f64 (pow.f64 t 3) (pow.f64 y 3))))))) t)))) (pow.f64 z 4)) (/.f64 y (/.f64 t z)))))
(+.f64 (fma.f64 -1 (.f64 (+.f64 (.f64 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (pow.f64 t 3)) (.f64 (/.f64 t y) (.f64 -1/12 (pow.f64 y 3)))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 y y) (.f64 t t)) (fma.f64 1/24 (/.f64 t y) (.f64 (/.f64 t y) -1/24))) (.f64 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) t) (.f64 (neg.f64 y) (+.f64 (/.f64 (pow.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) 2) (/.f64 (pow.f64 t 3) (pow.f64 y 3))) (/.f64 (.f64 y y) (/.f64 (/.f64 (.f64 t t) (/.f64 t y)) -1/12)))))))) (pow.f64 z 4)) (.f64 (/.f64 y t) z)) (neg.f64 (+.f64 (.f64 (pow.f64 z 3) (+.f64 (/.f64 (neg.f64 (pow.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) 2)) (/.f64 (pow.f64 t 3) (pow.f64 y 3))) (/.f64 (.f64 1/12 (/.f64 t y)) (/.f64 t (/.f64 (.f64 y y) t))))) (.f64 (/.f64 (.f64 1/2 (-.f64 t (/.f64 t y))) (.f64 t t)) (.f64 y (.f64 z (.f64 z y)))))))
(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
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(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
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(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
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(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t)))
(/.f64 1 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))))
(/.f64 1 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
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(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (.f64 (expm1.f64 z) y)))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (.f64 (expm1.f64 z) y))))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2) (.f64 -1/4 (.f64 t t)))) (neg.f64 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (*.f64 -1/2 t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 2) (.f64 -1/4 (.f64 t t)))) (neg.f64 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (*.f64 t -1/2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 t t)) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2) (.f64 -1/4 (.f64 t t)))) (.f64 1 (neg.f64 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 -1/2 t)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 2) (.f64 -1/4 (.f64 t t)))) (neg.f64 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (*.f64 t -1/2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 t t)) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3) (.f64 1/8 (pow.f64 t 3)))) (neg.f64 (+.f64 (.f64 1/4 (.f64 t t)) (.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 -1/2 t))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 3) (.f64 (pow.f64 t 3) 1/8))) (neg.f64 (fma.f64 1/4 (.f64 t t) (.f64 (/.f64 t (.f64 y (expm1.f64 z))) (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (*.f64 t -1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (.f64 (pow.f64 t 3) 1/8))) (+.f64 (.f64 -1/4 (.f64 t t)) (.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3) (.f64 1/8 (pow.f64 t 3)))) (.f64 1 (neg.f64 (+.f64 (.f64 1/4 (.f64 t t)) (.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 3) (.f64 (pow.f64 t 3) 1/8))) (neg.f64 (fma.f64 1/4 (.f64 t t) (.f64 (/.f64 t (.f64 y (expm1.f64 z))) (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (*.f64 t -1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (.f64 (pow.f64 t 3) 1/8))) (+.f64 (.f64 -1/4 (.f64 t t)) (.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3)) (.f64 (.f64 1/8 (pow.f64 t 3)) (.f64 1/8 (pow.f64 t 3)))) (.f64 (+.f64 (.f64 1/4 (.f64 t t)) (.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 -1/2 t)))) (-.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3) (*.f64 1/8 (pow.f64 t 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 6) (.f64 1/64 (.f64 (pow.f64 t 3) (pow.f64 t 3)))) (.f64 (fma.f64 1/4 (.f64 t t) (.f64 (/.f64 t (.f64 y (expm1.f64 z))) (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (.f64 t -1/2)))) (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 3) (*.f64 -1/8 (pow.f64 t 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 6) (.f64 -1/64 (.f64 (pow.f64 t 3) (pow.f64 t 3)))) (.f64 (fma.f64 1/4 (.f64 t t) (.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (.f64 t -1/2)))) (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (*.f64 (pow.f64 t 3) -1/8))))
(/.f64 (-.f64 (.f64 1/4 (.f64 t t)) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2)) (-.f64 (.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 2) (.f64 -1/4 (.f64 t t)))) (neg.f64 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (*.f64 t -1/2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 t t)) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2)) (.f64 (.f64 1/4 (.f64 t t)) (.f64 1/4 (.f64 t t)))) (.f64 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 -1/2 t)) (+.f64 (.f64 1/4 (.f64 t t)) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 4) (.f64 1/16 (.f64 (.f64 t t) (.f64 t t)))) (.f64 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (.f64 t -1/2)) (fma.f64 1/4 (.f64 t t) (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 4) (.f64 -1/16 (.f64 t (pow.f64 t 3)))) (.f64 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (.f64 t -1/2)) (fma.f64 1/4 (*.f64 t t) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 t 3)) 3)) (.f64 (+.f64 (.f64 1/4 (.f64 t t)) (.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 -1/2 t)))) (+.f64 (.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3)) (.f64 (.f64 1/8 (pow.f64 t 3)) (-.f64 (.f64 1/8 (pow.f64 t 3)) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 3) 3) (.f64 1/512 (pow.f64 (pow.f64 t 3) 3))) (.f64 (fma.f64 1/4 (.f64 t t) (.f64 (/.f64 t (.f64 y (expm1.f64 z))) (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (.f64 t -1/2)))) (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 6) (.f64 1/8 (.f64 (pow.f64 t 3) (-.f64 (.f64 (pow.f64 t 3) 1/8) (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) 3) (pow.f64 (.f64 (pow.f64 t 3) 1/8) 3)) (fma.f64 1/4 (.f64 t t) (.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (.f64 t -1/2))))) (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 6) (.f64 (pow.f64 t 3) (.f64 1/8 (-.f64 (*.f64 (pow.f64 t 3) 1/8) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2) 3) (pow.f64 (.f64 1/4 (.f64 t t)) 3)) (.f64 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 -1/2 t)) (+.f64 (.f64 (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2) (pow.f64 (/.f64 t (.f64 (expm1.f64 z) y)) 2)) (.f64 (.f64 1/4 (.f64 t t)) (+.f64 (.f64 1/4 (.f64 t t)) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 2) 3) (.f64 1/64 (pow.f64 (.f64 t t) 3))) (.f64 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (.f64 t -1/2)) (+.f64 (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 4) (.f64 1/4 (.f64 (.f64 t t) (fma.f64 1/4 (.f64 t t) (pow.f64 (/.f64 t (.f64 y (expm1.f64 z))) 2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 6) (.f64 -1/64 (pow.f64 (.f64 t t) 3))) (.f64 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (.f64 t -1/2)) (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 4) (.f64 1/4 (.f64 t (.f64 t (fma.f64 1/4 (.f64 t t) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2))))))))
(pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 1)
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(pow.f64 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3)
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 3) 1/3)
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(neg.f64 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) 2))
(log.f64 (exp.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(cbrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 3))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(expm1.f64 (log1p.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(exp.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(exp.f64 (.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (.f64 (expm1.f64 z) y)))) 1))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(log1p.f64 (expm1.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 t (/.f64 1 (.f64 (expm1.f64 z) y)) (.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 1 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 1 (.f64 t 1/2) (/.f64 t (.f64 (expm1.f64 z) y)))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 1/2 t (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 (sqrt.f64 (.f64 t 1/2)) (sqrt.f64 (.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 (sqrt.f64 (.f64 t 1/2)) (sqrt.f64 (.f64 t 1/2)) (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 (sqrt.f64 (.f64 t 1/2)) (sqrt.f64 (.f64 t 1/2)) (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (*.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 t 1/2)) 2) (cbrt.f64 (.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 t 1/2)) 2) (cbrt.f64 (.f64 t 1/2)) (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 t 1/2)) 2) (cbrt.f64 (.f64 t 1/2)) (/.f64 (/.f64 t y) (expm1.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 t (.f64 (expm1.f64 z) y))) (*.f64 t 1/2))
(fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z))))
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (*.f64 y z) t)

Compiler

Compiled 15 to 6 computations (60% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1972	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+r+`
1184×	`associate-+l+`
1116×	`associate-*r/`
714×	`associate-*l/`
712×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	772
1	277	724
2	1013	724
3	4757	724

Stop Event

1×	node limit

Counts

42 → 49

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t))
✓	0.2b	(/.f64 y (/.f64 1 z))
✓	4.8b	(/.f64 (/.f64 y (/.f64 1 z)) t)

Compiler

Compiled 33 to 19 computations (42.4% saved)

series3.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`associate-/r/`
826×	`swap-sqr`
768×	`associate-/l/`
550×	`distribute-lft-neg-in`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	243	39
2	3556	39

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

((#(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 z (pow.f64 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (pow.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) z) 1)))) (#(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)) (pow.f64 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (/.f64 (sqrt.f64 (*.f64 y z)) t))))) (#(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 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simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+r+`
1078×	`associate-r`
896×	`associate-l`
680×	`+-commutative`
642×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	8206
1	1402	7720
2	7374	7720

Stop Event

1×	node limit

Counts

316 → 267

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
	3.4b	(log1p.f64 (*.f64 z y))
✓	3.9b	(/.f64 (log1p.f64 (*.f64 z y)) t)

Compiler

Compiled 29 to 8 computations (72.4% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(/.f64 (log1p.f64 (*.f64 z y)) t)
0.0ms	z	@	0	(/.f64 (log1p.f64 (*.f64 z y)) t)
0.0ms	z	@	inf	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
0.0ms	y	@	inf	(/.f64 (log1p.f64 (*.f64 z y)) t)
0.0ms	y	@	-inf	(/.f64 (log1p.f64 (*.f64 z y)) t)

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`associate-*r/`
872×	`associate-*l/`
814×	`associate-/r*`
628×	`associate-/l*`
500×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	231	40
2	3083	40

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs

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

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-+r+`
1206×	`+-commutative`
666×	`fma-def`
552×	`associate-r`
496×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	509	13801
1	1451	12829
2	6916	12829

Stop Event

1×	node limit

Counts

237 → 319

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
✓	0.8b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
	3.4b	(log1p.f64 (*.f64 z y))
	3.9b	(/.f64 (log1p.f64 (*.f64 z y)) t)

Compiler

Compiled 50 to 12 computations (76% saved)

series96.0ms (0.5%)

Counts

2 → 72

Calls

24 calls:

Time	Variable		Point	Expression
48.0ms	z	@	inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
7.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
6.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
6.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`associate-*r/`
928×	`associate-*l/`
824×	`associate-/r*`
626×	`associate-/l*`
506×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	297	50
2	3596	50

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

Outputs

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simplify317.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-+r+`
1278×	`+-commutative`
996×	`associate-+l+`
982×	`associate-*r/`
850×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1248	52351
1	4213	52045

Stop Event

1×	node limit

Counts

247 → 407

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t)))
(neg.f64 (/.f64 (log.f64 (fma.f64 y z 1)) t))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 (.f64 y z) 1)) t))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 (.f64 y z) 1)) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 (.f64 y z) 1)) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(fma.f64 -1 (/.f64 (log.f64 (fma.f64 y z 1)) t) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 y z 1)) 4) (pow.f64 t 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 y z 1)) 4) (pow.f64 t 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 (+.f64 (.f64 y z) 1))) t) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 (.f64 y z) 1)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 t 4)) (pow.f64 (log.f64 (+.f64 (.f64 y z) 1)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) t) (log.f64 (+.f64 (.f64 y z) 1))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) t) (log.f64 (+.f64 (.f64 y z) 1))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (+.f64 (.f64 y z) 1)) t))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 (.f64 y z) 1)) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (+.f64 (*.f64 y z) 1)) 4)) (pow.f64 t 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
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(*.f64 (pow.f64 1 1/3) x)
x
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(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))) 1)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 1 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) 1/6) (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) 1/6))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))) 2))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 2) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)))) (cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 z y)) t) (+.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 y z)) t) (+.f64 x (/.f64 (log1p.f64 (.f64 y z)) t))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 z y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 y z)) t) (+.f64 x (/.f64 (log1p.f64 (.f64 y z)) t))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 2)))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 z y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 y z)) t) (+.f64 x (/.f64 (log1p.f64 (.f64 y z)) t))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 2)))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 3))) 1) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 z y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 (log1p.f64 (.f64 y z)) t) (+.f64 x (/.f64 (log1p.f64 (.f64 y z)) t))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 2))) 1) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log1p.f64 (.f64 y z)) t) 2))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 1)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) 1/3)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) 1/6) 2)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))) 3)
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)))) 1))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(exp.f64 (.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t))) 1/3))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))
(cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))

eval1.2s (5.7%)

Compiler: Compiled 72765 to 34003 computations (53.3% saved)

prune642.0ms (3.1%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1713	7	1720
Fresh	6	14	20
Picked	0	1	1
Done	2	6	8
Total	1721	28	1749

Error

Counts

1749 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	18.2b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 y z) t))) 3)
✓	13.1b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) 3)
	52.4b	(/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))
✓	62.1b	(/.f64 (*.f64 y z) t)
	50.9b	(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
	53.6b	(/.f64 (neg.f64 y) (/.f64 t z))
	24.1b	(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
	23.4b	(-.f64 x (/.f64 (/.f64 (log1p.f64 (.f64 z y)) (cbrt.f64 (.f64 t t))) (cbrt.f64 t)))
	44.9b	(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
	11.7b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
✓	12.0b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
✓	1.4b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.1b	(-.f64 x (/.f64 z (/.f64 t y)))
	32.1b	(-.f64 x (/.f64 2 t))
	17.2b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y))))
	12.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
✓	1.5b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
	10.6b	(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 t 1/2))))
	13.8b	(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y))))))
	8.4b	(-.f64 x (/.f64 1 (.f64 t (+.f64 1/2 (/.f64 1 (.f64 (expm1.f64 z) y))))))
	10.9b	(-.f64 x (-.f64 (/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t) (pow.f64 t -1)))
	17.1b	(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z))
	12.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
	17.2b	(-.f64 x (.f64 (/.f64 -1 t) (.f64 z (neg.f64 y))))
✓	51.2b	(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))
	53.6b	(*.f64 (/.f64 z t) (neg.f64 y))
✓	54.4b	(*.f64 (/.f64 y t) (neg.f64 z))
	18.8b	x

Compiler

Compiled 372 to 265 computations (28.8% saved)

regimes463.0ms (2.2%)

Counts

56 → 3

Calls

Call 1

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

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

Calls

9 calls:

119.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
118.0ms	y
114.0ms	x
28.0ms	z
26.0ms	t

Results

Error	Segments	Branch
0.4b	3	`x`
0.1b	3	`y`
1.4b	1	`z`
1.4b	1	`t`
0.1b	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))`
0.1b	3	`(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)`
0.1b	3	`(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))`
0.1b	3	`(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))`
1.4b	1	`(exp.f64 z)`

Compiler

Compiled 631 to 290 computations (54% saved)

bsearch49.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.8362905300195873e-57	2.4685808636177396e-51
11.0ms	-6.217663265936471e-155	-3.2768873060732496e-157

Results

19.0ms	127×	body	256	valid
13.0ms	25×	body	1024	valid
8.0ms	8×	body	2048	valid
6.0ms	16×	body	512	valid

Compiler

Compiled 321 to 227 computations (29.3% saved)

regimes416.0ms (2%)

Counts

37 → 2

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))

Calls

5 calls:

121.0ms	x
115.0ms	y
109.0ms	t
55.0ms	z
7.0ms	(exp.f64 z)

Results

Error	Segments	Branch
5.3b	4	`x`
5.5b	3	`y`
4.8b	2	`z`
6.9b	3	`t`
4.8b	2	`(exp.f64 z)`

Compiler

Compiled 355 to 163 computations (54.1% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-9.867220483143843e+31	-8.510910419528379e+28

Results

15.0ms	101×	body	256	valid
9.0ms	14×	body	1024	valid
4.0ms	13×	body	512	valid
2.0ms	21×	body	256	invalid

Compiler

Compiled 280 to 202 computations (27.9% saved)

regimes275.0ms (1.3%)

Counts

36 → 2

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 1 (.f64 t (+.f64 1/2 (/.f64 1 (.f64 (expm1.f64 z) y))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))

Calls

5 calls:

84.0ms	t
79.0ms	x
67.0ms	y
32.0ms	z
5.0ms	(exp.f64 z)

Results

Error	Segments	Branch
5.6b	4	`x`
5.5b	3	`y`
4.8b	2	`z`
7.0b	3	`t`
4.8b	2	`(exp.f64 z)`

Compiler

Compiled 341 to 156 computations (54.3% saved)

bsearch81.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
81.0ms	-9.867220483143843e+31	-8.510910419528379e+28

Results

63.0ms	95×	body	256	valid
8.0ms	14×	body	1024	valid
6.0ms	19×	body	512	valid
2.0ms	15×	body	256	invalid

Compiler

Compiled 280 to 210 computations (25% saved)

regimes194.0ms (0.9%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

5 calls:

68.0ms	z
48.0ms	x
44.0ms	y
20.0ms	t
6.0ms	(exp.f64 z)

Results

Error	Segments	Branch
7.4b	3	`x`
5.5b	3	`y`
6.5b	2	`z`
9.7b	1	`t`
6.6b	2	`(exp.f64 z)`

Compiler

Compiled 327 to 148 computations (54.7% saved)

bsearch24.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	236307.51933737233	6.089209062319977e+20
18.0ms	-5.280583326366687e+66	-2.7279867457953426e+66

Results

10.0ms	53×	body	256	valid
8.0ms	16×	body	1024	valid
3.0ms	11×	body	512	valid
0.0ms	4×	body	256	invalid

Compiler

Compiled 154 to 108 computations (29.9% saved)

regimes105.0ms (0.5%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	z
27.0ms	x
27.0ms	y
15.0ms	t

Results

Error	Segments	Branch
9.7b	1	`x`
7.7b	2	`y`
8.4b	2	`z`
9.7b	1	`t`

Compiler

Compiled 262 to 118 computations (55% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-515657214001883.6	-377392160595.2924

Results

15.0ms	98×	body	256	valid
10.0ms	17×	body	1024	valid
4.0ms	12×	body	512	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 272 to 194 computations (28.7% saved)

regimes98.0ms (0.5%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	t
26.0ms	z
14.0ms	x
13.0ms	y

Results

Error	Segments	Branch
10.6b	1	`x`
10.6b	1	`y`
9.0b	2	`z`
9.2b	3	`t`

Compiler

Compiled 246 to 114 computations (53.7% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-9.867220483143843e+31	-8.510910419528379e+28

Results

15.0ms	95×	body	256	valid
8.0ms	15×	body	1024	valid
7.0ms	17×	body	512	valid
1.0ms	12×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 344 to 242 computations (29.7% saved)

regimes56.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	y
12.0ms	x
11.0ms	t
11.0ms	z

Results

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

Compiler

Compiled 182 to 89 computations (51.1% saved)

regimes214.0ms (1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	y
76.0ms	x
35.0ms	t
19.0ms	z

Results

Error	Segments	Branch
12.3b	3	`x`
13.2b	2	`y`
11.0b	2	`z`
12.6b	3	`t`

Compiler

Compiled 169 to 82 computations (51.5% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-1.709417817211338e+42	-6.281344499434708e+39

Results

16.0ms	101×	body	256	valid
6.0ms	8×	body	1024	valid
6.0ms	19×	body	512	valid
2.0ms	20×	body	256	invalid

Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes85.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	t
16.0ms	x
11.0ms	y
11.0ms	z

Results

Error	Segments	Branch
12.3b	3	`x`
13.5b	2	`y`
11.0b	2	`z`
12.9b	3	`t`

Compiler

Compiled 73 to 39 computations (46.6% saved)

bsearch36.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	-1.709417817211338e+42	-6.281344499434708e+39

Results

16.0ms	101×	body	256	valid
12.0ms	17×	body	1024	valid
3.0ms	9×	body	512	valid
2.0ms	19×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes92.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	t
15.0ms	z
15.0ms	x
14.0ms	y

Results

Error	Segments	Branch
13.7b	3	`x`
14.4b	2	`y`
13.2b	2	`z`
13.8b	3	`t`

Compiler

Compiled 66 to 37 computations (43.9% saved)

bsearch49.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	-1.709417817211338e+42	-6.281344499434708e+39

Results

34.0ms	105×	body	256	valid
8.0ms	13×	body	1024	valid
3.0ms	9×	body	512	valid
2.0ms	21×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes85.0ms (0.4%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	x
23.0ms	t
15.0ms	y
5.0ms	z

Results

Error	Segments	Branch
18.8b	1	`x`
17.7b	3	`y`
18.8b	1	`z`
16.4b	5	`t`

Compiler

Compiled 59 to 35 computations (40.7% saved)

bsearch210.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
46.0ms	5.321393810364116e-272	2.2608107274213498e-271
75.0ms	-9.435272015699854e-247	-4.653310139928443e-258
41.0ms	-1.2116357152821712e-211	-1.001622740108591e-211
49.0ms	-2.652248087851055e-158	-2.3104803012716377e-160

Results

121.0ms	158×	body	1024	valid
45.0ms	38×	body	2048	valid
22.0ms	147×	body	256	valid
17.0ms	57×	body	512	valid

Compiler

Compiled 449 to 343 computations (23.6% saved)

regimes44.0ms (0.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	t
13.0ms	y
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
18.8b	1	`x`
17.7b	3	`y`
18.8b	1	`z`
16.4b	5	`t`

Compiler

Compiled 47 to 31 computations (34% saved)

bsearch182.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	5.321393810364116e-272	2.2608107274213498e-271
80.0ms	-9.435272015699854e-247	-4.653310139928443e-258
14.0ms	-1.2116357152821712e-211	-1.001622740108591e-211
41.0ms	-2.652248087851055e-158	-2.3104803012716377e-160

Results

71.0ms	130×	body	1024	valid
51.0ms	50×	body	2048	valid
31.0ms	68×	body	512	valid
23.0ms	152×	body	256	valid

Compiler

Compiled 449 to 343 computations (23.6% saved)

regimes25.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	t
5.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
18.8b	1	`x`
18.8b	1	`y`
18.8b	1	`z`
17.5b	3	`t`

Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch61.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	-1.2116357152821712e-211	-1.001622740108591e-211
47.0ms	-2.652248087851055e-158	-2.3104803012716377e-160

Results

31.0ms	56×	body	1024	valid
12.0ms	12×	body	2048	valid
9.0ms	52×	body	256	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 177 to 135 computations (23.7% saved)

regimes16.0ms (0.1%)

Accuracy

Total -43.7b remaining (-232.9%)

Threshold costs -43.7b (-232.9%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

4.0ms	z
4.0ms	t
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
18.8b	1	`x`
18.8b	1	`y`
18.8b	1	`z`
18.8b	1	`t`

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

76×	`+-commutative`
66×	`*-commutative`
56×	`sub-neg`
40×	`neg-mul-1`
40×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	764
1	187	756
2	259	756
3	309	748
4	339	748
5	351	748
6	353	748
7	355	748

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 5176309760092923/53919893334301279589334030174039261347274288845081144962207220498432) (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (.f64 t (+.f64 1/2 (/.f64 1 (.f64 (expm1.f64 z) y)))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 y -2899999999999999860141989175753148217565140911830041633126877233152) (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) (if (<=.f64 y 400000) (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 y -380000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 t 1/2)))) (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 t 1/2)))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 t 1/2))))
(if (<=.f64 z -13000000000000000274029254993641849487360) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -6699999999999999490270405473461243740160) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -13200000000000000836210852584911343190016) x (-.f64 x (*.f64 (/.f64 y t) z)))
(if (<=.f64 t -7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) x (if (<=.f64 t -5448595599810227/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (/.f64 (neg.f64 y) (/.f64 t z)) (if (<=.f64 t -5680222798770673/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) x (if (<=.f64 t 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (/.f64 (neg.f64 y) (/.f64 t z)) x))))
(if (<=.f64 t -7597989933253771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) x (if (<=.f64 t -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 (/.f64 z t) (neg.f64 y)) (if (<=.f64 t -8254602048994769/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) x (if (<=.f64 t 856521739283203/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (.f64 (/.f64 z t) (neg.f64 y)) x))))
(if (<=.f64 t -929962309538873/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) x (if (<=.f64 t -2842745530335771/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (*.f64 (/.f64 y t) (neg.f64 z)) x))
x

Outputs
(if (<=.f64 y -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 5176309760092923/53919893334301279589334030174039261347274288845081144962207220498432) (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (or (<=.f64 y -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (not (<=.f64 y 5176309760092923/53919893334301279589334030174039261347274288845081144962207220498432))) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (expm1.f64 z) y)) (.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -85999999999999995095415783424) (+.f64 x (/.f64 -1 (+.f64 (/.f64 t (.f64 y (expm1.f64 z))) (.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (.f64 t (+.f64 1/2 (/.f64 1 (.f64 (expm1.f64 z) y)))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (.f64 t (+.f64 1/2 (/.f64 1 (.f64 y (expm1.f64 z))))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -85999999999999995095415783424) (+.f64 x (/.f64 -1 (.f64 t (+.f64 1/2 (/.f64 1 (.f64 y (expm1.f64 z))))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 y -2899999999999999860141989175753148217565140911830041633126877233152) (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) (if (<=.f64 y 400000) (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (or (<=.f64 y -2899999999999999860141989175753148217565140911830041633126877233152) (not (<=.f64 y 400000))) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 y -380000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 t 1/2)))) (-.f64 x (.f64 (/.f64 (expm1.f64 z) t) y)))
(if (<=.f64 y -380000000000) (-.f64 x (/.f64 1 (+.f64 (.f64 t 1/2) (/.f64 (/.f64 t z) y)))) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 y -380000000000) (+.f64 x (/.f64 -1 (+.f64 (.f64 t 1/2) (/.f64 (/.f64 t z) y)))) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 t 1/2)))))
(if (<=.f64 z -85999999999999995095415783424) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (.f64 t 1/2) (/.f64 (/.f64 t z) y)))))
(if (<=.f64 z -85999999999999995095415783424) (+.f64 x (/.f64 -1 (+.f64 (/.f64 (/.f64 t z) y) (.f64 1/2 (-.f64 t (/.f64 t y)))))) (+.f64 x (/.f64 -1 (+.f64 (.f64 t 1/2) (/.f64 (/.f64 t z) y)))))
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 t 1/2))))
(-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 (/.f64 t z) y))))
(+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 (/.f64 t z) y))))
(if (<=.f64 z -13000000000000000274029254993641849487360) x (-.f64 x (/.f64 y (/.f64 t z))))
(if (<=.f64 z -6699999999999999490270405473461243740160) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z -6699999999999999490270405473461243740160) x (-.f64 x (*.f64 y (/.f64 z t))))
(if (<=.f64 z -13200000000000000836210852584911343190016) x (-.f64 x (*.f64 (/.f64 y t) z)))
(if (<=.f64 z -13200000000000000836210852584911343190016) x (-.f64 x (*.f64 z (/.f64 y t))))
(if (<=.f64 t -7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) x (if (<=.f64 t -5448595599810227/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (/.f64 (neg.f64 y) (/.f64 t z)) (if (<=.f64 t -5680222798770673/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) x (if (<=.f64 t 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (/.f64 (neg.f64 y) (/.f64 t z)) x))))
(if (<=.f64 t -7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) x (if (or (<=.f64 t -5448595599810227/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (not (or (<=.f64 t -5680222798770673/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (not (<=.f64 t 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992))))) (/.f64 (neg.f64 y) (/.f64 t z)) x))
(if (<=.f64 t -7914572847139345/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) x (if (or (<=.f64 t -5448595599810227/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (and (not (<=.f64 t -5680222798770673/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032)) (<=.f64 t 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992))) (/.f64 (neg.f64 y) (/.f64 t z)) x))
(if (<=.f64 t -7597989933253771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) x (if (<=.f64 t -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 (/.f64 z t) (neg.f64 y)) (if (<=.f64 t -8254602048994769/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) x (if (<=.f64 t 856521739283203/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (.f64 (/.f64 z t) (neg.f64 y)) x))))
(if (<=.f64 t -7597989933253771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) x (if (or (<=.f64 t -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (not (or (<=.f64 t -8254602048994769/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (not (<=.f64 t 856521739283203/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312))))) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 t -7597989933253771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408) x (if (or (<=.f64 t -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (and (not (<=.f64 t -8254602048994769/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056)) (<=.f64 t 856521739283203/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312))) (*.f64 y (/.f64 (neg.f64 z) t)) x))
(if (<=.f64 t -929962309538873/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) x (if (<=.f64 t -2842745530335771/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (*.f64 (/.f64 y t) (neg.f64 z)) x))
(if (<=.f64 t -929962309538873/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) x (if (<=.f64 t -2842745530335771/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (*.f64 z (/.f64 (neg.f64 y) t)) x))
x

Compiler

Compiled 334 to 220 computations (34.1% saved)

soundness620.0ms (3%)

Algorithm

3×	egg-herbie

Rules

1788×	`associate-/r*`
1502×	`associate-*r/`
1194×	`associate-*l/`
1094×	`associate-+l+`
924×	`fma-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	25	35
2	51	33
3	98	33
4	205	27
5	506	27
6	1005	27
7	1240	27
8	1353	27
9	1632	27
10	2449	27
11	4905	27
12	5557	27
13	6096	27
14	6879	27
15	7662	27
0	15	39
1	25	35
2	51	33
3	98	33
4	205	27
5	506	27
6	1005	27
7	1240	27
8	1353	27
9	1632	27
10	2449	27
11	4905	27
12	5557	27
13	6096	27
14	6879	27
15	7662	27
0	296	4585
1	813	4321
2	3527	4321

Stop Event

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

Compiler

Compiled 216 to 123 computations (43.1% saved)

end189.0ms (0.9%)

Compiler: Compiled 282 to 141 computations (50% saved)