Details

analyze708.0ms (3.3%)

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)

sample9.4s (43.8%)

Results

3.0s	1524×	body	8192	exit
2.3s	1887×	body	1024	valid
1.3s	4625×	body	256	valid
889.0ms	1412×	body	512	valid
844.0ms	332×	body	2048	valid
637.0ms	2018×	body	256	invalid
259.0ms	256×	body	512	invalid
125.0ms	209×	body	1024	invalid
8.0ms	30×	body	256	infinite
0.0ms	1×	body	512	infinite

Bogosity

preprocess141.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 26 to 17 computations (34.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(-.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))
✓	4.6b	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

Compiler

Compiled 35 to 9 computations (74.3% saved)

series98.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
29.0ms	z	@	-inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
25.0ms	z	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
22.0ms	t	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
8.0ms	t	@	inf	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
5.0ms	z	@	0	(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`expm1-log1p-u_binary64`
731×	`log1p-expm1-u_binary64`
714×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	159	25
2	1980	25

Stop Event

1×	node limit

Counts

3 → 59

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

Outputs

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

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-def_binary64`
546×	`associate-l_binary64`
518×	`associate-r_binary64`
445×	`associate-+l+_binary64`
332×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1745
1	524	1686
2	1731	1658

Stop Event

1×	node limit

Counts

143 → 133

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)))

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

eval47.0ms (0.2%)

Compiler: Compiled 3015 to 1617 computations (46.4% saved)

prune41.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	122	11	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	12	134

Error

Counts

134 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.3b	(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t))
	11.0b	(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))
▶	1.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	1.1b	(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))
▶	11.7b	(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))
	21.9b	(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
✓	1.1b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	13.8b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
▶	7.0b	(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
	34.8b	(-.f64 x (.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) (sqrt.f64 t))))
▶	17.5b	(-.f64 x (*.f64 z (/.f64 y t)))
	17.8b	(-.f64 x (/.f64 (*.f64 y z) t))

Compiler

Compiled 325 to 229 computations (29.5% saved)

localize16.0ms (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))
✓	4.7b	(.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z))))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
798×	`add-log-exp_binary64`
798×	`expm1-log1p-u_binary64`
797×	`log1p-expm1-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	193	11
2	2239	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-r_binary64`
390×	`unswap-sqr_binary64`
376×	`associate-l_binary64`
333×	`cancel-sign-sub-inv_binary64`
309×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	924
1	343	896
2	1080	873
3	5421	865

Stop Event

1×	node limit

Counts

60 → 58

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
(/.f64 (expm1.f64 z) (/.f64 t y))
(*.f64 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 (expm1.f64 z) (/.f64 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 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (.f64 y y))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))
(fma.f64 -1/2 (.f64 (.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (.f64 y (/.f64 (expm1.f64 z) t))))
(fma.f64 1/3 (.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (.f64 (-.f64 (exp.f64 z) 1) y) t) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (.f64 y y)))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))))
(fma.f64 -1/4 (.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 -1/2 (.f64 (.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))))
(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)) (.f64 y (+.f64 (/.f64 (expm1.f64 z) t) (/.f64 (.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t y))))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t)))))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (.f64 y t))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (.f64 y y))))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.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 y (*.f64 y t)))))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 1/2 (.f64 y (.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 -1/2 (.f64 y (.f64 y (.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 1 (.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (.f64 y t)))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (.f64 y y)))))
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (+.f64 (/.f64 (log.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 y (*.f64 y t)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (.f64 t (pow.f64 (expm1.f64 z) 3)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 -1/2 (.f64 y (.f64 y (.f64 t (pow.f64 (expm1.f64 z) 2))))))
(+.f64 (+.f64 (/.f64 -1/2 (.f64 y (.f64 y (.f64 t (pow.f64 (expm1.f64 z) 2))))) (+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (.f64 t (pow.f64 (expm1.f64 z) 3))))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))))
(-.f64 (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (.f64 y t)))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (.f64 y y)))))
(+.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 -1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y (*.f64 y t)))))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (-.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 1/2 (.f64 y (.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (.f64 y (.f64 y (*.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(-.f64 (+.f64 (/.f64 (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (.f64 (pow.f64 y 3) t)))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 y t)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 y 2) t)))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (.f64 y t)) (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 t (pow.f64 y 3)))))) (/.f64 1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 t (.f64 y y))))))
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (.f64 (pow.f64 (expm1.f64 z) 3) (.f64 t (pow.f64 y 3)))) (-.f64 (/.f64 1 (.f64 (expm1.f64 z) (.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (.f64 (pow.f64 (expm1.f64 z) 2) (.f64 y (*.f64 y t))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (.f64 t (pow.f64 (expm1.f64 z) 3)))) (+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (/.f64 -1/2 (.f64 y (.f64 y (.f64 t (pow.f64 (expm1.f64 z) 2)))))))
(+.f64 (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) (+.f64 (/.f64 1 (.f64 (.f64 (expm1.f64 z) y) t)) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (.f64 t (pow.f64 (expm1.f64 z) 3))) (/.f64 -1/2 (.f64 y (.f64 y (.f64 t (pow.f64 (expm1.f64 z) 2))))))))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(*.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 z (/.f64 t y)))
(fma.f64 1/2 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 z z) t)) (.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)))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (.f64 y y) (.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (.f64 (*.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (/.f64 z (/.f64 t y))))
(fma.f64 (/.f64 y t) z (fma.f64 1/2 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 z z) t)) (.f64 (/.f64 1/6 t) (.f64 (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y)) (pow.f64 z 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/24 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 (.f64 12 (pow.f64 y 3)) (+.f64 (.f64 -4 (pow.f64 y 2)) (.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t)))))
(fma.f64 1/2 (/.f64 (.f64 z z) (/.f64 t (fma.f64 -1 (.f64 y y) y))) (+.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (.f64 y y) (.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))) (.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (.f64 y y) (.f64 (pow.f64 y 4) -6))))) (/.f64 t (pow.f64 z 4))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 z z) t) (-.f64 y (.f64 y y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (.f64 (.f64 -3 y) y))) (/.f64 t (pow.f64 z 3))) (fma.f64 1/24 (.f64 (/.f64 (+.f64 y (fma.f64 (.f64 y y) -3 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))))) t) (pow.f64 z 4)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y))) (fma.f64 1/2 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 z z) t)) (fma.f64 1/24 (.f64 (pow.f64 z 4) (/.f64 (+.f64 (fma.f64 (pow.f64 y 4) -6 (.f64 (.f64 y y) (+.f64 (.f64 y 12) -4))) (fma.f64 y (.f64 y -3) y)) t)) (*.f64 z (/.f64 y t)))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 2 (pow.f64 y 3) (fma.f64 y (.f64 y -3) y))) (fma.f64 1/2 (.f64 (-.f64 y (.f64 y y)) (/.f64 (.f64 z z) t)) (fma.f64 1/24 (.f64 (pow.f64 z 4) (/.f64 (+.f64 y (+.f64 (.f64 (pow.f64 y 3) (+.f64 12 (.f64 y -6))) (.f64 (.f64 y y) -7))) t)) (*.f64 z (/.f64 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)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (/.f64 y t)))
✓	4.7b	(*.f64 z (/.f64 y t))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series12.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(*.f64 z (/.f64 y t))
1.0ms	y	@	0	(*.f64 z (/.f64 y t))
1.0ms	t	@	0	(*.f64 z (/.f64 y t))
1.0ms	y	@	inf	(*.f64 z (/.f64 y t))
1.0ms	z	@	inf	(*.f64 z (/.f64 y t))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`prod-diff_binary64`
501×	`log-prod_binary64`
323×	`pow-prod-down_binary64`
253×	`pow2_binary64`
216×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	17
2	2620	17

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	708
1	19	672
2	41	672
3	80	672
4	141	672
5	214	672
6	300	672
7	378	672
8	482	672
9	747	672
10	1170	672
11	1326	672
12	1445	672
13	1450	672

Stop Event

1×

saturated

Counts

282 → 205

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(*.f64 y (/.f64 (expm1.f64 z) t))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	143	9
2	1863	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

705×	`distribute-rgt-out_binary64`
620×	`associate-/r/_binary64`
465×	`distribute-lft-in_binary64`
419×	`associate-+l+_binary64`
413×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	400
1	84	394
2	201	394
3	570	380
4	2530	364
5	5902	364
6	6644	364

Stop Event

1×	node limit

Counts

58 → 32

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (exp.f64 z) 1) y)
✓	0.3b	(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
✓	3.3b	(-.f64 (exp.f64 z) 1)

Compiler

Compiled 39 to 20 computations (48.7% saved)

series27.0ms (0.1%)

Counts

3 → 12

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	z	@	0	(-.f64 (exp.f64 z) 1)
1.0ms	z	@	inf	(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms	t	@	inf	(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms	t	@	0	(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)
1.0ms	y	@	0	(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log-prod_binary64`
364×	`exp-prod_binary64`
327×	`prod-exp_binary64`
297×	`pow-prod-down_binary64`
236×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	187	18
2	2496	18

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-def_binary64`
767×	`associate-/r/_binary64`
506×	`associate-/l/_binary64`
477×	`associate-l_binary64`
379×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	238
1	122	228
2	330	217
3	1073	170
4	4681	170
5	6793	170
6	7071	170
7	7693	170

Stop Event

1×	node limit

Counts

163 → 174

Calls

Call 1

Inputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(+.f64 (.f64 1/2 (pow.f64 z 2)) (+.f64 z (.f64 1/6 (pow.f64 z 3))))
(+.f64 (.f64 1/24 (pow.f64 z 4)) (+.f64 (.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(/.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 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))))))

Outputs
z
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z)
(fma.f64 1/2 (*.f64 z z) z)
(fma.f64 z (*.f64 z 1/2) z)
(*.f64 z (fma.f64 z 1/2 1))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (+.f64 z (.f64 1/6 (pow.f64 z 3))))
(fma.f64 1/2 (.f64 z z) (+.f64 z (.f64 1/6 (pow.f64 z 3))))
(fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z))
(fma.f64 z (*.f64 z 1/2) (fma.f64 1/6 (pow.f64 z 3) z))
(fma.f64 (*.f64 z z) (fma.f64 z 1/6 1/2) z)
(+.f64 (.f64 1/24 (pow.f64 z 4)) (+.f64 (.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (.f64 z z) (+.f64 z (.f64 1/6 (pow.f64 z 3)))))
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z)))
(fma.f64 z (*.f64 z 1/2) (fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/6 (pow.f64 z 3) z)))
(fma.f64 (*.f64 z z) (fma.f64 z 1/6 1/2) (fma.f64 1/24 (pow.f64 z 4) z))
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
(/.f64 z (/.f64 t y))
(*.f64 (/.f64 z t) y)
(*.f64 y (/.f64 z t))
(+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))
(+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))
(fma.f64 1/2 (.f64 (/.f64 y t) (.f64 z z)) (/.f64 z (/.f64 t y)))
(fma.f64 (/.f64 y t) z (/.f64 (.f64 z (.f64 1/2 (*.f64 z y))) t))
(.f64 (/.f64 y t) (.f64 z (fma.f64 z 1/2 1)))
(+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z))))))
(fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (*.f64 z z)) (/.f64 z (/.f64 t y))))
(fma.f64 1/2 (.f64 (.f64 z z) (/.f64 y t)) (fma.f64 1/6 (.f64 (pow.f64 z 3) (/.f64 y t)) (.f64 (/.f64 z t) y)))
(fma.f64 z (/.f64 y t) (.f64 (/.f64 y t) (.f64 (*.f64 z z) (fma.f64 z 1/6 1/2))))
(+.f64 (.f64 1/24 (/.f64 (.f64 y (pow.f64 z 4)) t)) (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (.f64 y z) t) (.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (.f64 1/2 (/.f64 y (/.f64 t (.f64 z z)))))))
(fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)) (fma.f64 1/6 (.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (/.f64 y t) (*.f64 z z)) (/.f64 z (/.f64 t y)))))
(fma.f64 1/6 (.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) (/.f64 t y)) (fma.f64 (/.f64 y t) z (/.f64 (.f64 z (.f64 1/2 (.f64 z y))) t))))
(+.f64 (.f64 (/.f64 y t) (.f64 (.f64 z z) (fma.f64 z 1/6 1/2))) (.f64 (/.f64 y t) (fma.f64 1/24 (pow.f64 z 4) z)))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (.f64 1/2 (.f64 (*.f64 z z) y)))
(fma.f64 (.f64 1/2 y) (.f64 z z) (*.f64 z y))
(.f64 y (fma.f64 z (.f64 z 1/2) z))
(.f64 z (fma.f64 z (.f64 1/2 y) y))
(.f64 z (.f64 (fma.f64 z 1/2 1) y))
(.f64 z (.f64 y (fma.f64 z 1/2 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (fma.f64 1/2 (.f64 (.f64 z z) y) (.f64 1/6 (.f64 (pow.f64 z 3) y))))
(fma.f64 z y (fma.f64 1/2 (.f64 z (.f64 z y)) (.f64 (pow.f64 z 3) (.f64 1/6 y))))
(fma.f64 z y (.f64 y (.f64 (.f64 z z) (+.f64 (.f64 z 1/6) 1/2))))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(fma.f64 y z (fma.f64 1/2 (.f64 (.f64 z z) y) (fma.f64 1/24 (.f64 (pow.f64 z 4) y) (.f64 1/6 (*.f64 (pow.f64 z 3) y)))))
(fma.f64 z y (fma.f64 1/2 (.f64 z (.f64 z y)) (fma.f64 1/6 (.f64 (pow.f64 z 3) y) (.f64 1/24 (*.f64 (pow.f64 z 4) y)))))
(fma.f64 z y (fma.f64 1/24 (.f64 (pow.f64 z 4) y) (.f64 y (.f64 (.f64 z z) (+.f64 (*.f64 z 1/6) 1/2)))))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) (fma.f64 1/24 (pow.f64 z 4) z)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (expm1.f64 z))
✓	2.0b	(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓	2.2b	(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
✓	14.5b	(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

Compiler

Compiled 52 to 11 computations (78.8% saved)

series44.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	z	@	inf	(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
15.0ms	z	@	-inf	(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	y	@	-inf	(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	z	@	0	(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	y	@	inf	(log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`pow1_binary64`
794×	`add-log-exp_binary64`
794×	`expm1-log1p-u_binary64`
793×	`log1p-expm1-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	183	29
2	2166	29

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/r*_binary64`
652×	`associate-+r+_binary64`
352×	`associate-/l*_binary64`
261×	`fma-def_binary64`
205×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	2809
1	897	2665
2	3470	2630

Stop Event

1×	node limit

Counts

152 → 169

Calls

Call 1

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

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

eval284.0ms (1.3%)

Compiler: Compiled 15902 to 7121 computations (55.2% saved)

prune128.0ms (0.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	716	13	729
Fresh	5	1	6
Picked	1	0	1
Done	2	3	5
Total	724	17	741

Error

Counts

741 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	8.3b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
	34.8b	(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
▶	8.2b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
	16.0b	x
	20.8b	(-.f64 x (.f64 (/.f64 y t) (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))))
▶	1.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
✓	17.5b	(-.f64 x (*.f64 z (/.f64 y t)))
	13.8b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
✓	1.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
	13.8b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
	17.8b	(-.f64 x (/.f64 (*.f64 z y) t))
	17.2b	(-.f64 x (/.f64 z (/.f64 t y)))
✓	1.1b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶	28.4b	(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t))
▶	57.1b	(*.f64 y (/.f64 (neg.f64 z) t))
▶	19.6b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 z y)) t))
	21.9b	(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))

Compiler

Compiled 412 to 285 computations (30.8% saved)

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))
✓	0.4b	(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
✓	4.6b	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series34.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	(/.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	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	y	@	0	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	t	@	0	(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	200	22
2	2460	22

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
578×	`associate-/l*_binary64`
425×	`associate-*l/_binary64`
411×	`associate-*r/_binary64`
204×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2544
1	803	2386
2	3298	2283

Stop Event

1×	node limit

Counts

139 → 135

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(*.f64 y (/.f64 (neg.f64 z) t))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2150	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 z y))
✓	6.3b	(/.f64 (.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 z y)) t)

Compiler

Compiled 54 to 31 computations (42.6% saved)

series10.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary64`
409×	`pow-prod-down_binary64`
298×	`pow2_binary64`
282×	`fma-def_binary64`
269×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	231	25
2	3138	25

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-/r/_binary64`
1132×	`fma-def_binary64`
749×	`associate-/l/_binary64`
393×	`*-commutative_binary64`
326×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	1077
1	47	1011
2	105	948
3	283	750
4	905	750
5	2282	750
6	3414	750
7	4190	750
8	5284	750
9	5513	750
10	5778	750

Stop Event

1×	node limit

Counts

170 → 123

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (expm1.f64 z) y)
✓	4.6b	(/.f64 (*.f64 (expm1.f64 z) y) t)

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
728×	`add-log-exp_binary64`
728×	`log1p-expm1-u_binary64`
728×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	143	15
2	1922	15

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
756×	`associate-/r/_binary64`
510×	`associate-/l/_binary64`
405×	`associate-l_binary64`
380×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	596
1	115	590
2	292	587
3	923	550
4	4209	550
5	6326	550
6	6724	550
7	7277	550

Stop Event

1×	node limit

Counts

115 → 74

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 y z)
(+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 y (pow.f64 z 4))) (.f64 1/6 (*.f64 y (pow.f64 z 3))))))
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)
(*.f64 (-.f64 (exp.f64 z) 1) y)

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

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(exp.f64 (log.f64 (log1p.f64 (*.f64 z y))))
✓	2.2b	(log1p.f64 (*.f64 z y))
✓	2.2b	(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t)
✓	14.6b	(log.f64 (log1p.f64 (*.f64 z y)))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series116.0ms (0.5%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
76.0ms	y	@	inf	(log.f64 (log1p.f64 (*.f64 z y)))
14.0ms	t	@	0	(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t)
9.0ms	t	@	inf	(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t)
2.0ms	y	@	-inf	(log.f64 (log1p.f64 (*.f64 z y)))
2.0ms	z	@	-inf	(log.f64 (log1p.f64 (*.f64 z y)))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
726×	`add-log-exp_binary64`
726×	`expm1-log1p-u_binary64`
725×	`log1p-expm1-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	165	29
2	1978	29

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(log.f64 (log1p.f64 (*.f64 z y)))
(/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t)
(log1p.f64 (*.f64 z y))
(exp.f64 (log.f64 (log1p.f64 (*.f64 z y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log1p.f64 (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 z y)))) (log.f64 (sqrt.f64 (log1p.f64 (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log1p.f64 (.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (log1p.f64 (.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (log1p.f64 (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 z y)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 z y)))) 2) (cbrt.f64 (log.f64 (log1p.f64 (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (log1p.f64 (.f64 z y)))) (sqrt.f64 (log.f64 (log1p.f64 (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log1p.f64 (.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log1p.f64 (.f64 z y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (.f64 z y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (.f64 z y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (.f64 z y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log1p.f64 (.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log1p.f64 (.f64 z y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (/.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 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) 2) (.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) (/.f64 1 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 (sqrt.f64 (log1p.f64 (.f64 z y))) (.f64 (sqrt.f64 (log1p.f64 (.f64 z y))) (/.f64 1 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 (neg.f64 (log1p.f64 (.f64 z y))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) (log1p.f64 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log1p.f64 (.f64 z y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (.f64 z y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (.f64 z y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log1p.f64 (.f64 z y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (.f64 z y))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (.f64 z y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (.f64 z y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (.f64 z y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (.f64 z y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (.f64 z y)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 z y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 z y)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (.f64 z y)) t)))))))
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simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

632×	`distribute-rgt-in_binary64`
630×	`distribute-lft-in_binary64`
276×	`fma-def_binary64`
233×	`associate-/l*_binary64`
225×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3922
1	979	3660
2	3764	3610

Stop Event

1×	node limit

Counts

195 → 182

Calls

Call 1

Inputs
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (log.f64 z) (log.f64 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 2/3 (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (log.f64 z) (log.f64 y))))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 2/3 (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (log.f64 z) (+.f64 (log.f64 y) (.f64 1/6 (.f64 (+.f64 (.f64 -3/2 (pow.f64 y 3)) (+.f64 (pow.f64 y 3) (.f64 -1/4 (pow.f64 y 3)))) (pow.f64 z 3)))))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))
(+.f64 (/.f64 1 (.f64 y (.f64 z (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(+.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) z))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))) (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) 2)))) (pow.f64 z 2)))))
(+.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) z))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) 2)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))))) (pow.f64 z 3))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))) (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) 2)))) (pow.f64 z 2))))))
(log.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (.f64 y z))) (log.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (.f64 y z))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (pow.f64 y 2))) (/.f64 1 (.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))) (log.f64 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (.f64 y z))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) 3) (pow.f64 y 3)))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) 2) (pow.f64 y 3)))) (.f64 2 (/.f64 1 (.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (pow.f64 y 3)))))) (pow.f64 z 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (pow.f64 y 2))) (/.f64 1 (.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))) (log.f64 (+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (log.f64 z) (log.f64 y)))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (pow.f64 z 2)) (.f64 2/3 (pow.f64 z 2))))) (+.f64 (log.f64 z) (log.f64 y))))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (pow.f64 z 2)) (.f64 2/3 (pow.f64 z 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/4 (pow.f64 z 3)) (+.f64 (.f64 -3/2 (pow.f64 z 3)) (pow.f64 z 3))))) (+.f64 (log.f64 z) (log.f64 y)))))
(log.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (log.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 1 (.f64 y (.f64 z (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 z 2) (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 1 (.f64 y (.f64 z (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))))))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 z 3) (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 z 2) (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 1 (.f64 y (.f64 z (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y))))))))))
(log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 z))))
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(/.f64 (*.f64 y z) t)
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(/.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 y z)
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(*.f64 y z)
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(*.f64 y z)
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(*.f64 y z)
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Outputs
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(fma.f64 -1/2 (*.f64 z y) (+.f64 (log.f64 z) (log.f64 y)))
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(fma.f64 -1/2 (.f64 z y) (fma.f64 1/2 (.f64 (.f64 (.f64 y y) 5/12) (.f64 z z)) (+.f64 (+.f64 (log.f64 z) (log.f64 y)) (.f64 1/6 (.f64 (fma.f64 -3/2 (pow.f64 y 3) (.f64 3/4 (pow.f64 y 3))) (pow.f64 z 3))))))
(fma.f64 -1/2 (.f64 z y) (+.f64 (fma.f64 1/6 (.f64 (.f64 (pow.f64 y 3) -3/4) (pow.f64 z 3)) (log.f64 y)) (fma.f64 1/2 (.f64 y (.f64 y (.f64 (*.f64 z z) 5/12))) (log.f64 z))))
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(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)))
(log.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 y)))
(log.f64 (+.f64 (log.f64 z) (log.f64 y)))
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(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 z z)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 z y)))
(fma.f64 -1/2 (.f64 y (.f64 y (.f64 z z))) (fma.f64 z y (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) 1/3))))
(fma.f64 -1/2 (.f64 y (.f64 y (.f64 z z))) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 z y)))
(+.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))))))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 z z)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (.f64 -1/4 (.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y (.f64 z z))) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z y (.f64 -1/4 (.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (.f64 y z)) (log.f64 y)))
(fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 z y))))
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (/.f64 1 (*.f64 z y))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (/.f64 1 (*.f64 z 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 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (.f64 z y)))) (/.f64 1/2 (.f64 (.f64 y y) (.f64 z z))))
(+.f64 (+.f64 (log.f64 y) (/.f64 1 (.f64 z y))) (+.f64 (log.f64 z) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z))))))
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z)))))))
(-.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 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (.f64 z y))) (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))))) (/.f64 1/2 (.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (log.f64 z) (+.f64 (+.f64 (log.f64 y) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 z 3)))) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z))))))
(+.f64 (log.f64 z) (+.f64 (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 y) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 -1/2 (.f64 y (.f64 y (*.f64 z z))))))))
(+.f64 (log.f64 (.f64 -1 y)) (.f64 -1 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 z))))
(-.f64 (log.f64 (neg.f64 y)) (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 (log.f64 (neg.f64 y)) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 1 (*.f64 z y))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (/.f64 1 (*.f64 z y)) (log.f64 (/.f64 -1 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 (log.f64 (neg.f64 y)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 1 (.f64 z y))) (/.f64 1/2 (.f64 (.f64 y y) (.f64 z z)))))
(+.f64 (log.f64 (neg.f64 y)) (+.f64 (-.f64 (/.f64 1 (.f64 z y)) (log.f64 (/.f64 -1 z))) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z))))))
(-.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 (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 (neg.f64 y)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 1 (.f64 z y))) (/.f64 1/2 (.f64 (.f64 y y) (*.f64 z z))))))
(+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 z 3)))) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 (neg.f64 y)) (+.f64 (-.f64 (/.f64 1 (.f64 z y)) (log.f64 (/.f64 -1 z))) (/.f64 -1/2 (.f64 y (.f64 y (*.f64 z z)))))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 z z)) (.f64 z y))
(fma.f64 z y (.f64 -1/2 (.f64 y (.f64 y (.f64 z z)))))
(.f64 z (+.f64 y (.f64 (.f64 -1/2 (.f64 y 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)))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 z z)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 z y)))
(fma.f64 -1/2 (.f64 y (.f64 y (.f64 z z))) (fma.f64 z y (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) 1/3))))
(fma.f64 -1/2 (.f64 y (.f64 y (.f64 z z))) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 z y)))
(+.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))))))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 z z)) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (.f64 -1/4 (.f64 (pow.f64 y 4) (pow.f64 z 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y (.f64 z z))) (fma.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z y (.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) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (.f64 y z))))
(fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 z y))))
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (/.f64 1 (*.f64 z y))))
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (/.f64 1 (*.f64 z y))))
(-.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 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (.f64 z y)))) (/.f64 1/2 (.f64 (.f64 y y) (.f64 z z))))
(+.f64 (+.f64 (log.f64 y) (/.f64 1 (.f64 z y))) (+.f64 (log.f64 z) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z))))))
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z)))))))
(-.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 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (.f64 z y))) (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))))) (/.f64 1/2 (.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (log.f64 z) (+.f64 (+.f64 (log.f64 y) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 z 3)))) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z))))))
(+.f64 (log.f64 z) (+.f64 (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 y) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 -1/2 (.f64 y (.f64 y (*.f64 z z))))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 z)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z)))
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (.f64 -1 z)) (/.f64 1 (*.f64 y z))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) (/.f64 1 (*.f64 z y)))
(+.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 z y)))
(+.f64 (log.f64 (neg.f64 z)) (-.f64 (/.f64 1 (*.f64 z y)) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (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 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) (/.f64 1 (.f64 z y))) (/.f64 1/2 (.f64 (.f64 y y) (.f64 z z))))
(+.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 1 (.f64 z y)) (/.f64 1/2 (.f64 y (.f64 y (.f64 z z))))))
(+.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (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 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 (neg.f64 z)) (/.f64 1 (.f64 z y))))) (/.f64 1/2 (.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (-.f64 (+.f64 (log.f64 (neg.f64 z)) (+.f64 (/.f64 1 (.f64 z y)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 z 3)))) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (.f64 y (.f64 y (.f64 z z)))))
(-.f64 (+.f64 (+.f64 (log.f64 (neg.f64 z)) (/.f64 1 (.f64 z y))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 -1/2 (.f64 y (.f64 y (*.f64 z z)))))) (log.f64 (/.f64 -1 y)))

eval457.0ms (2.1%)

Compiler: Compiled 14277 to 7826 computations (45.2% saved)

prune260.0ms (1.2%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	595	10	605
Fresh	6	3	9
Picked	0	1	1
Done	0	7	7
Total	601	21	622

Error

Counts

622 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	13.8b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))
	23.2b	(-.f64 x (/.f64 (.f64 z (.f64 (*.f64 y z) 1/2)) t))
▶	1.1b	(-.f64 x (/.f64 1 (.f64 (/.f64 1 (log1p.f64 (.f64 y (expm1.f64 z)))) t)))
	10.6b	(-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t))))
▶	13.8b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
✓	8.2b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
	16.0b	x
	8.3b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y))))
	58.0b	(/.f64 (*.f64 y z) (neg.f64 t))
✓	1.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
✓	17.5b	(-.f64 x (*.f64 z (/.f64 y t)))
▶	62.1b	(/.f64 (*.f64 y z) t)
✓	57.1b	(*.f64 y (/.f64 (neg.f64 z) t))
	13.9b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
✓	19.6b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 z y)) t))
	29.5b	(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2))
✓	1.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
▶	20.3b	(-.f64 x (/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t))
▶	17.2b	(-.f64 x (/.f64 z (/.f64 t y)))
✓	1.1b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓	28.4b	(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t))

Compiler

Compiled 456 to 321 computations (29.6% saved)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (expm1.f64 z))
✓	0.2b	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
✓	0.4b	(/.f64 1 (.f64 (/.f64 1 (log1p.f64 (.f64 y (expm1.f64 z)))) t))
✓	4.8b	(.f64 (/.f64 1 (log1p.f64 (.f64 y (expm1.f64 z)))) t)

Compiler

Compiled 60 to 24 computations (60% saved)

series25.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
3.0ms	y	@	inf	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
2.0ms	z	@	0	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	y	@	0	(/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
1.0ms	y	@	-inf	(.f64 (/.f64 1 (log1p.f64 (.f64 y (expm1.f64 z)))) t)

rewrite143.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
399×	`exp-prod_binary64`
313×	`pow-prod-down_binary64`
263×	`pow2_binary64`
213×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	219	33
2	2646	33

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

simplify252.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-/l*_binary64`
328×	`unswap-sqr_binary64`
301×	`fma-def_binary64`
300×	`associate-/r*_binary64`
273×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	3948
1	1207	3688
2	4969	3585

Stop Event

1×	node limit

Counts

231 → 237

Calls

Call 1

Inputs
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t))
(+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (.f64 1/2 t) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 z) 1) t)) (.f64 1/3 (.f64 (-.f64 (exp.f64 z) 1) t))) y))))
(+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (.f64 1/2 t) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 z) 1) (+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 z) 1) t)) (.f64 1/3 (.f64 (-.f64 (exp.f64 z) 1) t))))) (.f64 1/6 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 z) 1) t)) (.f64 1/3 (.f64 (-.f64 (exp.f64 z) 1) t))) y)))))
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.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))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (.f64 -1 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (.f64 -1 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y))))))) (.f64 1/3 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) (.f64 (-.f64 (exp.f64 z) 1) y)))))))
(/.f64 t (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))))
(+.f64 (/.f64 t (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))
(+.f64 (/.f64 t (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) (+.f64 (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (.f64 (-.f64 (exp.f64 z) 1) y)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (.f64 -1/2 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 4) (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) (+.f64 (/.f64 t (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) (+.f64 (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) (+.f64 (.f64 -1/3 (/.f64 t (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) (+.f64 (.f64 -1 (/.f64 t (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (.f64 (-.f64 (exp.f64 z) 1) y)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (.f64 -1/2 (/.f64 t (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (pow.f64 y 2))))))))
(/.f64 t (*.f64 y z))
(+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (.f64 z (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) t) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (.f64 t (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) (+.f64 (.f64 1/6 (/.f64 (.f64 t (+.f64 (.f64 -3 (pow.f64 y 2)) (+.f64 y (.f64 2 (pow.f64 y 3))))) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (.f64 t (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3))))) y)) (+.f64 (.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)))))) t) (pow.f64 y 2))) (.f64 -1/12 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y))) (pow.f64 y 3))))))) (+.f64 (.f64 -1 (.f64 z (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) t) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (.f64 t (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2)) (pow.f64 y 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 y 2)) y)) (pow.f64 y 2))) (/.f64 t (*.f64 y z)))))
(/.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 (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 (*.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))
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(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)
(/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))
(+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))
(+.f64 1/2 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (-.f64 (exp.f64 z) 1)) (.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(+.f64 1/2 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 1/3 (-.f64 (exp.f64 z) 1)) (.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (+.f64 (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 z) 1) (+.f64 (.f64 1/3 (-.f64 (exp.f64 z) 1)) (.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 1/6 (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))))))
(/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 1 (.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 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 2))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 3) (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) y))))
(-.f64 (+.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 4))) (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 y 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 y 2)))))))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) y))))
(/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))))
(-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (.f64 (-.f64 (exp.f64 z) 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) y))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 y 2))))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1))))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 y 2))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (.f64 (-.f64 (exp.f64 z) 1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 3) (pow.f64 y 2)))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (*.f64 y z))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (/.f64 1 (*.f64 y z)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 y (+.f64 (.f64 -3 (pow.f64 y 2)) (.f64 2 (pow.f64 y 3)))) (pow.f64 y 2))) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) y) 2) (pow.f64 y 3)))) z)) (/.f64 1 (.f64 y z))))
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(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))
(/.f64 1 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (*.f64 y z) t)

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series10.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite178.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
534×	`log-prod_binary64`
305×	`pow-prod-down_binary64`
260×	`pow2_binary64`
226×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2813	17

Stop Event

1×	node limit

Counts

2 → 253

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	708
1	19	672
2	41	672
3	80	672
4	141	672
5	214	672
6	300	672
7	378	672
8	482	672
9	747	672
10	1170	672
11	1326	672
12	1445	672
13	1450	672

Stop Event

1×

saturated

Counts

337 → 259

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)

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)))
✓	0.3b	(*.f64 z 1/6)
✓	1.7b	(.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6)))))
✓	6.0b	(/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t)

Compiler

Compiled 86 to 48 computations (44.2% saved)

series13.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t)
1.0ms	t	@	0	(/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t)
1.0ms	z	@	inf	(/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t)
1.0ms	t	@	inf	(/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t)
1.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t)

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
542×	`fma-def_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
261×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	302	48
2	4565	48

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

633×	`distribute-rgt-out_binary64`
558×	`distribute-lft-out_binary64`
485×	`associate-/r/_binary64`
429×	`associate-*r/_binary64`
415×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1286
1	113	1149
2	263	1148
3	772	1122
4	2775	1122
5	5795	1122
6	6948	1122
7	7937	1122

Stop Event

1×	node limit

Counts

266 → 213

Calls

Call 1

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

Outputs
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 z 2) (+.f64 1/2 (*.f64 1/6 z))) z) y) t)
(/.f64 (fma.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6)) z) (/.f64 t y))
(/.f64 (fma.f64 (*.f64 z z) (fma.f64 z 1/6 1/2) z) (/.f64 t y))
(.f64 (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z) (/.f64 y t))
(.f64 z (.f64 (/.f64 y t) (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 z 2) (+.f64 1/2 (*.f64 1/6 z))) z) y) t)
(/.f64 (fma.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6)) z) (/.f64 t y))
(/.f64 (fma.f64 (*.f64 z z) (fma.f64 z 1/6 1/2) z) (/.f64 t y))
(.f64 (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z) (/.f64 y t))
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(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(.f64 (+.f64 (.f64 (pow.f64 z 2) (+.f64 1/2 (*.f64 1/6 z))) z) y)
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(.f64 (+.f64 (.f64 (pow.f64 z 2) (+.f64 1/2 (*.f64 1/6 z))) z) y)
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(.f64 (+.f64 (.f64 (pow.f64 z 2) (+.f64 1/2 (*.f64 1/6 z))) z) y)
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(.f64 (+.f64 (.f64 (pow.f64 z 2) (+.f64 1/2 (*.f64 1/6 z))) z) y)
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 1/2 (*.f64 y (pow.f64 z 2))))
(fma.f64 y z (.f64 (.f64 1/2 y) (*.f64 z z)))
(fma.f64 z y (.f64 (.f64 z z) (*.f64 1/2 y)))
(.f64 z (+.f64 y (.f64 y (*.f64 z 1/2))))
(.f64 z (fma.f64 z (.f64 1/2 y) y))
(.f64 z (.f64 y (fma.f64 z 1/2 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(.f64 1/6 (.f64 y (pow.f64 z 3)))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (.f64 y (pow.f64 z 3))))
(fma.f64 1/2 (.f64 (.f64 z z) y) (.f64 1/6 (.f64 y (pow.f64 z 3))))
(.f64 (.f64 z z) (*.f64 (fma.f64 z 1/6 1/2) y))
(.f64 z (.f64 (fma.f64 z 1/6 1/2) (*.f64 z y)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(.f64 1/6 (.f64 y (pow.f64 z 3)))
(+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (.f64 y (pow.f64 z 3))))
(fma.f64 1/2 (.f64 (.f64 z z) y) (.f64 1/6 (.f64 y (pow.f64 z 3))))
(.f64 (.f64 z z) (*.f64 (fma.f64 z 1/6 1/2) y))
(.f64 z (.f64 (fma.f64 z 1/6 1/2) (*.f64 z y)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 1/2 (.f64 y (pow.f64 z 2))) (.f64 1/6 (*.f64 y (pow.f64 z 3)))))
(.f64 y (fma.f64 (.f64 z z) (+.f64 1/2 (*.f64 z 1/6)) z))
(.f64 y (fma.f64 (.f64 z z) (fma.f64 z 1/6 1/2) z))
(.f64 y (.f64 z (fma.f64 z (fma.f64 z 1/6 1/2) 1)))
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/6 z)
(*.f64 z 1/6)
(*.f64 1/2 (pow.f64 z 2))
(.f64 (.f64 z z) 1/2)
(.f64 z (.f64 z 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(*.f64 1/6 (pow.f64 z 3))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(*.f64 1/6 (pow.f64 z 3))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/6 (pow.f64 z 3)))
(fma.f64 1/2 (.f64 z z) (.f64 1/6 (pow.f64 z 3)))
(.f64 (.f64 z z) (fma.f64 z 1/6 1/2))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
	2.2b	(log1p.f64 (*.f64 z y))
✓	4.7b	(.f64 (/.f64 1 t) (log1p.f64 (.f64 z y)))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series56.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
45.0ms	t	@	-inf	(.f64 (/.f64 1 t) (log1p.f64 (.f64 z y)))
2.0ms	x	@	0	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
1.0ms	z	@	inf	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
1.0ms	z	@	-inf	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
1.0ms	y	@	inf	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))

rewrite160.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
566×	`log-prod_binary64`
294×	`pow2_binary64`
237×	`fma-def_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	229	21
2	2987	21

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 z y))) t) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 2)) (*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t)) (cbrt.f64 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simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

939×	`fma-neg_binary64`
784×	`sub-neg_binary64`
311×	`unsub-neg_binary64`
300×	`unswap-sqr_binary64`
286×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	2173
1	438	2048
2	1427	1956
3	5598	1956

Stop Event

1×	node limit

Counts

288 → 281

Calls

Call 1

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

eval828.0ms (3.9%)

Compiler: Compiled 29509 to 13145 computations (55.5% saved)

prune374.0ms (1.8%)

Pruning

27 alts after pruning (14 fresh and 13 done)

	Pruned	Kept	Total
New	1098	10	1108
Fresh	4	4	8
Picked	0	1	1
Done	0	12	12
Total	1102	27	1129

Error

Counts

1129 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	17.8b	(-.f64 x (*.f64 (/.f64 1 t) (/.f64 z (/.f64 1 y))))
	55.1b	(neg.f64 (/.f64 (log1p.f64 (*.f64 y z)) t))
✓	1.1b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 y (expm1.f64 z)))))
✓	20.3b	(-.f64 x (/.f64 (.f64 y (+.f64 z (.f64 (.f64 z z) (+.f64 1/2 (.f64 z 1/6))))) t))
	10.6b	(-.f64 x (/.f64 1 (+.f64 (/.f64 t (.f64 (-.f64 (exp.f64 z) 1) y)) (.f64 1/2 t))))
✓	1.1b	(-.f64 x (/.f64 1 (.f64 (/.f64 1 (log1p.f64 (.f64 y (expm1.f64 z)))) t)))
✓	13.8b	(-.f64 x (.f64 (/.f64 1 t) (log1p.f64 (.f64 z y))))
✓	8.2b	(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
	16.0b	x
	58.0b	(/.f64 (*.f64 y z) (neg.f64 t))
✓	1.1b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
✓	17.5b	(-.f64 x (*.f64 z (/.f64 y t)))
	6.4b	(-.f64 x (/.f64 1 (.f64 (+.f64 1/2 (/.f64 1 (.f64 (expm1.f64 z) y))) t)))
✓	57.1b	(*.f64 y (/.f64 (neg.f64 z) t))
✓	62.1b	(/.f64 (*.f64 y z) t)
	13.9b	(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))))
	17.8b	(-.f64 x (.f64 (/.f64 1 t) (.f64 z y)))
✓	19.6b	(-.f64 x (/.f64 (.f64 (+.f64 1 (.f64 z 1/2)) (*.f64 z y)) t))
	29.5b	(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2))
	23.2b	(-.f64 x (/.f64 (.f64 z (.f64 (*.f64 y z) 1/2)) t))
	8.3b	(-.f64 x (/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y))))
	23.4b	(-.f64 x (.f64 (/.f64 1 t) (.f64 z (+.f64 y (.f64 (.f64 -1/2 (*.f64 y y)) z)))))
✓	17.2b	(-.f64 x (/.f64 z (/.f64 t y)))
✓	1.1b	(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
	17.8b	(-.f64 x (/.f64 1 (.f64 (/.f64 1 (.f64 z y)) t)))
✓	28.4b	(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) t))
	13.8b	(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))

Compiler

Compiled 377 to 267 computations (29.2% saved)

regimes347.0ms (1.6%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

13 calls:

60.0ms	y
55.0ms	x
54.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
37.0ms	t
23.0ms	z

Results

Error	Segments	Branch
1.1b	1	`x`
0.1b	3	`y`
1.1b	1	`z`
1.1b	1	`t`
1.1b	1	`(-.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	`(/.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	`(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))`
0.1b	3	`(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))`
0.1b	3	`(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))`
1.1b	1	`(exp.f64 z)`
1.1b	1	`(exp.f64 z)`

Compiler

Compiled 614 to 308 computations (49.8% saved)

bsearch343.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
197.0ms	4.770275863169834e-202	1.4548043245813582e-196
146.0ms	-2.5707455697953533e-8	-2.033645785671118e-9

Compiler

Compiled 24 to 18 computations (25% saved)

regimes322.0ms (1.5%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

6 calls:

104.0ms	y
55.0ms	z
38.0ms	x
28.0ms	t
11.0ms	(exp.f64 z)

Results

Error	Segments	Branch
6.4b	1	`x`
3.7b	3	`y`
3.9b	2	`z`
6.4b	1	`t`
3.9b	2	`(exp.f64 z)`
3.9b	2	`(exp.f64 z)`

Compiler

Compiled 353 to 178 computations (49.6% saved)

bsearch545.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
113.0ms	0.00013651153572982673	0.06599417889109227
431.0ms	-2.2764757030348955e+70	-1.1639237730861064e+70

Compiler

Compiled 128 to 90 computations (29.7% saved)

regimes328.0ms (1.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

134.0ms	y
96.0ms	x
38.0ms	z
21.0ms	t

Results

Error	Segments	Branch
7.2b	3	`x`
4.8b	3	`y`
5.1b	2	`z`
8.2b	1	`t`

Compiler

Compiled 207 to 104 computations (49.8% saved)

bsearch900.0ms (4.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
166.0ms	0.00013651153572982673	0.06599417889109227
733.0ms	-2.2764757030348955e+70	-1.1639237730861064e+70

Compiler

Compiled 128 to 90 computations (29.7% saved)

regimes261.0ms (1.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	y
75.0ms	z
55.0ms	t
40.0ms	x

Results

Error	Segments	Branch
11.3b	4	`x`
10.8b	3	`y`
9.1b	2	`z`
10.8b	3	`t`

Compiler

Compiled 191 to 100 computations (47.6% saved)

bsearch311.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
311.0ms	-7.751779470179266e+44	-1.925160855223175e+43

Compiler

Compiled 157 to 116 computations (26.1% saved)

regimes189.0ms (0.9%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	t
46.0ms	x
36.0ms	z
31.0ms	y

Results

Error	Segments	Branch
13.1b	5	`x`
14.7b	2	`y`
12.3b	2	`z`
13.4b	3	`t`

Compiler

Compiled 183 to 97 computations (47% saved)

bsearch457.0ms (2.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
457.0ms	-6.971893118594522e-47	-6.320304149444303e-50

Compiler

Compiled 168 to 122 computations (27.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -46.6b remaining (-291.4%)

Threshold costs -46.6b (-291.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
16.0b	1	`x`
16.0b	1	`y`
16.0b	1	`z`
16.0b	1	`t`

Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`*-commutative_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	185
1	59	185
2	91	185
3	124	185
4	144	185
5	153	185
6	155	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -7769601737463811/302231454903657293676544) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 657779571507837/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -22000000000000000063196059527754314417137209861914299402661501236936704) (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) (if (<=.f64 y 2518193362717171/18446744073709551616) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 y -22000000000000000063196059527754314417137209861914299402661501236936704) (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) (if (<=.f64 y 2518193362717171/18446744073709551616) (-.f64 x (/.f64 (.f64 (expm1.f64 z) y) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 z -19500000000000000333672630035126507049844736) x (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 z -3496697184307563/51422017416287688817342786954917203280710495801049370729644032) x (-.f64 x (/.f64 (*.f64 z y) t)))
x

Outputs
(if (<=.f64 y -7769601737463811/302231454903657293676544) (-.f64 x (/.f64 (log1p.f64 (.f64 y (expm1.f64 z))) t)) (if (<=.f64 y 657779571507837/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(if (<=.f64 y -22000000000000000063196059527754314417137209861914299402661501236936704) (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) (if (<=.f64 y 2518193362717171/18446744073709551616) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 y -22000000000000000063196059527754314417137209861914299402661501236936704) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 y 2518193362717171/18446744073709551616) (-.f64 x (.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 y -22000000000000000063196059527754314417137209861914299402661501236936704) (-.f64 x (/.f64 (log1p.f64 (.f64 z y)) t)) (if (<=.f64 y 2518193362717171/18446744073709551616) (-.f64 x (/.f64 (.f64 (expm1.f64 z) y) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))))
(if (<=.f64 y -22000000000000000063196059527754314417137209861914299402661501236936704) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 y 2518193362717171/18446744073709551616) (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))))
(if (<=.f64 z -19500000000000000333672630035126507049844736) x (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))
(if (<=.f64 z -19500000000000000333672630035126507049844736) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -3496697184307563/51422017416287688817342786954917203280710495801049370729644032) x (-.f64 x (/.f64 (*.f64 z y) t)))
(if (<=.f64 z -3496697184307563/51422017416287688817342786954917203280710495801049370729644032) x (-.f64 x (/.f64 (*.f64 y z) t)))
x

Compiler

Compiled 148 to 79 computations (46.6% saved)

soundness668.0ms (3.1%)

Algorithm

3×	egg-herbie

Rules

814×	`fma-def_binary64`
735×	`div-sub_binary64`
735×	`div-sub_binary64`
611×	`fma-def_binary64`
611×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	23	18
2	48	17
3	96	17
4	206	14
5	427	14
6	727	14
7	915	14
8	1032	14
9	1246	14
10	1756	14
11	3370	14
12	4326	14
13	4949	14
14	5748	14
15	6517	14
16	7072	14
17	7614	14
18	7912	14
0	13	20
1	23	18
2	48	17
3	96	17
4	206	14
5	427	14
6	727	14
7	915	14
8	1032	14
9	1246	14
10	1756	14
11	3370	14
12	4326	14
13	4949	14
14	5748	14
15	6517	14
16	7072	14
17	7614	14
18	7912	14
0	173	1745
1	524	1686
2	1731	1658

Stop Event

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

Compiler

Compiled 498 to 356 computations (28.5% saved)

end61.0ms (0.3%)

Compiler: Compiled 128 to 44 computations (65.6% saved)

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

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

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