Details

analyze1.4s (27.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.3%	94.4%	3.3%	9
3.5%	90.1%	6.4%	10
4.1%	89.5%	6.4%	11
17.1%	71.1%	11.8%	12
19.8%	64.1%	16.1%	13
21.2%	62.7%	16.1%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.5s (49.9%)

Results

974.0ms	6341×	body	128	valid
616.0ms	958×	body	1024	valid
278.0ms	603×	body	512	valid
216.0ms	1623×	body	128	invalid
121.0ms	198×	body	1024	invalid
104.0ms	349×	body	256	valid
100.0ms	225×	body	512	invalid
45.0ms	164×	body	256	invalid
5.0ms	5×	body	2048	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess52.0ms (1%)

Algorithm

2×	egg-herbie

Rules

792×	`times-frac_binary64`
358×	`fma-def_binary64`
193×	`associate-l_binary64`
167×	`associate-r_binary64`
155×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	80
1	62	64
2	94	64
3	194	64
4	482	64
5	1189	64
6	3217	64
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z)))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+.f64 y (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 z x))))) x))
(+.f64 y (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x z)))) x))
(+.f64 y (/.f64 (pow.f64 (/.f64 x (+.f64 x z)) x) x))
(+.f64 z (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 x y))))) y))
(+.f64 z (/.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 x y)))) y))
(+.f64 z (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) y) y))
(+.f64 x (/.f64 (exp.f64 (*.f64 z (log.f64 (/.f64 z (+.f64 y z))))) z))
(+.f64 x (/.f64 (pow.f64 (exp.f64 z) (log.f64 (/.f64 z (+.f64 y z)))) z))
(+.f64 x (/.f64 (pow.f64 (/.f64 z (+.f64 y z)) z) z))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
363×	`fma-def_binary64`
253×	`associate-l_binary64`
215×	`associate-r_binary64`
204×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	19	16
2	28	16
3	57	16
4	138	16
5	332	16
6	893	16
7	3314	16

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z)))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

prune3.0ms (0.1%)

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

6.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.6b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 55 to 31 computations (43.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓	0.0b	(/.f64 y (+.f64 y z))
✓	6.5b	(pow.f64 (/.f64 y (+.f64 y z)) y)

series33.0ms (0.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
3.0ms	y	@	0	(pow.f64 (/.f64 y (+.f64 y z)) y)
2.0ms	y	@	inf	(pow.f64 (/.f64 y (+.f64 y z)) y)
2.0ms	z	@	inf	(pow.f64 (/.f64 y (+.f64 y z)) y)
2.0ms	z	@	-inf	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

374×	`fma-def_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
198×	`fma-neg_binary64`
178×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	214	33
2	3358	33

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs
(pow.f64 (/.f64 y (+.f64 y z)) y)
(/.f64 y (+.f64 y z))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

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

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simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

299×	`sub-neg_binary64`
272×	`fma-def_binary64`
271×	`+-commutative_binary64`
255×	`associate-+r+_binary64`
215×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3559
1	1021	3465
2	4248	3278

Stop Event

1×	node limit

Counts

194 → 199

Calls

Call 1

Inputs
1
(+.f64 (.f64 (log.f64 (/.f64 1 z)) y) (+.f64 1 (.f64 y (log.f64 y))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2))) (+.f64 (.f64 (log.f64 (/.f64 1 z)) y) (+.f64 1 (+.f64 (.f64 (log.f64 (/.f64 1 z)) (.f64 (pow.f64 y 2) (log.f64 y))) (+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) (pow.f64 y 2)))))))) (/.f64 (pow.f64 y 2) z))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) (.f64 (pow.f64 y 3) (log.f64 y)))) (+.f64 1 (+.f64 (.f64 (log.f64 (/.f64 1 z)) y) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (+.f64 (.f64 (log.f64 (/.f64 1 z)) (.f64 (pow.f64 y 2) (log.f64 y))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (log.f64 (/.f64 1 z)) (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 z 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 1 z)) 3) (pow.f64 y 3))) (.f64 y (log.f64 y)))))))))))) (+.f64 (/.f64 (.f64 (log.f64 (/.f64 1 z)) (pow.f64 y 3)) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) z) (/.f64 (pow.f64 y 2) z))))
(exp.f64 (neg.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 2)) y)))
(-.f64 (+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 2)) y)))) (.f64 1/3 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 6)) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 2)) y)))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 5)) (pow.f64 y 3))) (.f64 1/3 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (pow.f64 y 2)))))
(exp.f64 (neg.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 2)) y)))
(-.f64 (+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 2)) y)))) (.f64 1/3 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 6)) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 2)) y)))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 5)) (pow.f64 y 3))) (.f64 1/3 (/.f64 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (pow.f64 y 2)))))
1
(-.f64 1 z)
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/2 (/.f64 (pow.f64 z 2) y)))) z)
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 z 2)) (.f64 1/2 (/.f64 (pow.f64 z 2) y)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 3) y)) (+.f64 z (+.f64 (.f64 1/6 (pow.f64 z 3)) (*.f64 1/3 (/.f64 (pow.f64 z 3) (pow.f64 y 2)))))))
(exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y))))
(-.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (/.f64 (.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 2)) z))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 3)) (pow.f64 z 2))) (+.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 4)) (pow.f64 z 2))))) (/.f64 (.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 2)) z))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 3)) (pow.f64 z 2))) (+.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 4)) (pow.f64 z 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 5)) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 2)) z) (+.f64 (.f64 1/3 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 4)) (pow.f64 z 3))) (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 6)) (pow.f64 z 3)))))))
(exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))
(-.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1 y)))))) z))
(-.f64 (+.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 4) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))))) (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1 y)))))) z))
(-.f64 (+.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 4) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) z) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 5) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 3))) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 6) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1 y)))))) (pow.f64 z 3)))))))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
1
(-.f64 1 (/.f64 z y))
(-.f64 (+.f64 1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (/.f64 z y))
(-.f64 (+.f64 1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
1
(-.f64 1 (/.f64 z y))
(-.f64 (+.f64 1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (/.f64 z y))
(-.f64 (+.f64 1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
1
(-.f64 1 (/.f64 z y))
(-.f64 (+.f64 1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (/.f64 z y))
(-.f64 (+.f64 1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(/.f64 y z)
(-.f64 (/.f64 y z) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 (pow.f64 y 2) (pow.f64 z 2))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) y)) y)
(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) y)) y) x)
(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) y)) y) x)
(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) y)) y) x)
x
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(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) y)) y) x)
x
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(/.f64 1 y)
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x
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
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x
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Outputs
1
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(fma.f64 (neg.f64 (log.f64 z)) y (+.f64 1 (*.f64 y (log.f64 y))))
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(-.f64 (+.f64 (/.f64 1 y) (fma.f64 1/2 (.f64 (/.f64 z y) (/.f64 z y)) (fma.f64 1/2 (/.f64 z (/.f64 y z)) x))) (+.f64 (/.f64 z y) (fma.f64 1/3 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (pow.f64 z 3) (.f64 y y)) (*.f64 1/6 (/.f64 (pow.f64 z 3) y))))))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 1/2 (.f64 (/.f64 z y) (/.f64 z y)) (fma.f64 1/2 (/.f64 z (/.f64 y z)) x)) (+.f64 (/.f64 z y) (fma.f64 1/3 (pow.f64 (/.f64 z y) 3) (fma.f64 1/2 (/.f64 (pow.f64 z 3) (.f64 y y)) (*.f64 1/6 (/.f64 (pow.f64 z 3) y)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) y) x)
(+.f64 x (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y))
(+.f64 x (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) y))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) y) x) (/.f64 (.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) y) z))
(-.f64 (+.f64 x (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y)) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 z y)))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) (-.f64 x (*.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) z) y)))
(+.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) y) (-.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) z) y)))
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(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (.f64 z z) (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (.f64 z z) (*.f64 y y))) (+.f64 x (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y)))) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 z y)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (.f64 z z)) (pow.f64 y 3)) (+.f64 x (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (.f64 z z)) (.f64 y y)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)))) (.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) z) y))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) (.f64 z z)) (pow.f64 y 3)) (+.f64 x (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) (.f64 z z)) (.f64 y y)) (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) y)))) (.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) z) y))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 3)) (pow.f64 z 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 2)) (pow.f64 z 2))) (+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) y) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) y) z) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 5)) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 4)) (pow.f64 z 3))) (.f64 1/3 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)))) (pow.f64 y 3)) (pow.f64 z 3)))))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (.f64 z z) (pow.f64 y 3))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 x (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y)))) (+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 z y)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (pow.f64 z 3) (pow.f64 y 5))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (pow.f64 z 3) (pow.f64 y 4))) (.f64 1/3 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (.f64 z z)) (pow.f64 y 3)) (+.f64 x (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (.f64 z z)) (.f64 y y)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)))) (.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) z) y)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 (pow.f64 z 3) (pow.f64 y 5))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 (pow.f64 z 3) (pow.f64 y 4))) (/.f64 (.f64 (.f64 1/3 (pow.f64 y 3)) (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z)))) (pow.f64 z 3)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) (.f64 z z)) (pow.f64 y 3)) (+.f64 x (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) (.f64 z z)) (.f64 y y)) (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) y)))) (+.f64 (.f64 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) z) y) (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) (/.f64 (pow.f64 z 3) (pow.f64 y 5))) (fma.f64 1/2 (/.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) (/.f64 (pow.f64 z 3) (pow.f64 y 4))) (/.f64 (*.f64 (pow.f64 (/.f64 y (exp.f64 (log.f64 z))) y) 1/3) (pow.f64 (/.f64 z y) 3))))))
(+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) y) x)
(+.f64 x (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y))
(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y)) y))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) y) x) (/.f64 (.f64 y (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1 y)))))) z))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y) (-.f64 x (/.f64 y (/.f64 z (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))))))
(+.f64 x (-.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y) (*.f64 (/.f64 y z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))))
(+.f64 x (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y)) y) (.f64 (/.f64 y z) (*.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))) (+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))) x))) (/.f64 (.f64 y (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1 y)))))) z))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (/.f64 (.f64 z z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (/.f64 (*.f64 z z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) x))) (/.f64 y (/.f64 z (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 3) (.f64 z z)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) x) (*.f64 (/.f64 y z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) (/.f64 (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y)) y)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 3) (.f64 z z)) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) x) (.f64 (/.f64 y z) (*.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))) (+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y))))) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 2))) x))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 5) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 4) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 y (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1 y)))))) z) (.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 (.f64 y (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1 y)))))) (pow.f64 z 3)))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (/.f64 (.f64 z z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (/.f64 (.f64 z z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) x))) (fma.f64 1/6 (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 z 3) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) (fma.f64 1/2 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 z 3) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) (+.f64 (/.f64 y (/.f64 z (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) (/.f64 (.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))))) (pow.f64 z 3))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y z)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y)))) y)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 3) (.f64 z z)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) x) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 z 3)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))) (.f64 (/.f64 y z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 y))))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) (/.f64 (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y)) y)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 3) (.f64 z z)) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) x) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 z 3)) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 y z) 3) (.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))) (.f64 (/.f64 y z) (*.f64 (pow.f64 (/.f64 -1 z) y) (pow.f64 (neg.f64 y) y))))))))

prune153.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	4	200

Error

0.0b

Counts

200 → 4

Alt Table

Status	Error	Program
	31.8b	(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) x)
	11.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
▶	2.5b	(+.f64 x (/.f64 1 y))
✓	6.6b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 5954 to 2689 computations (54.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 1 y))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
620×	`add-log-exp_binary64`
620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
66×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1712	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f64 x (/.f64 1 y))

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	138
1	9	138

Stop Event

1×

saturated

Counts

58 → 37

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)

prune27.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Error

Counts

41 → 5

Alt Table

Status	Error	Program
	29.5b	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
✓	6.6b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
	30.5b	(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 y))) (/.f64 (pow.f64 y -2) (-.f64 x (/.f64 1 y))))
▶	11.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	2.5b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 506 to 330 computations (34.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

series6.0ms (0.1%)

Counts

2 → 44

Calls

15 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
90×	`*-un-lft-identity_binary64`
90×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	174	15
2	2519	15

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

Outputs

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

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

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-neg_binary64`
661×	`fma-def_binary64`
643×	`cancel-sign-sub-inv_binary64`
266×	`associate-/r/_binary64`
203×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	486
1	91	478
2	210	478
3	556	478
4	1695	472

Stop Event

1×	node limit

Counts

112 → 86

Calls

Call 1

Inputs
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 z y))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 z 2) y))) (/.f64 z y))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (pow.f64 z 2) y))) (+.f64 (/.f64 z y) (.f64 1/6 (/.f64 (pow.f64 z 3) y))))
(/.f64 (exp.f64 (*.f64 -1 z)) y)
(/.f64 (exp.f64 (*.f64 -1 z)) y)
(/.f64 (exp.f64 (*.f64 -1 z)) y)
(/.f64 (exp.f64 (*.f64 -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
x
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
x
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 1 y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 z y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) y)) x)) (/.f64 z y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (.f64 1/6 (/.f64 (pow.f64 z 3) y))))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (*.f64 -1 z)) y) x)
(+.f64 (/.f64 (exp.f64 (*.f64 -1 z)) y) x)
(+.f64 (/.f64 (exp.f64 (*.f64 -1 z)) y) x)
(+.f64 (/.f64 (exp.f64 (*.f64 -1 z)) y) x)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
x
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
x
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)

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

prune70.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Error

Counts

91 → 5

Alt Table

Status	Error	Program
▶	29.5b	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
✓	6.6b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
	30.5b	(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 y))) (/.f64 (pow.f64 y -2) (-.f64 x (/.f64 1 y))))
✓	11.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	2.5b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 1171 to 483 computations (58.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)

series73.0ms (1.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
19.0ms	y	@	-inf	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
7.0ms	y	@	inf	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
3.0ms	x	@	0	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
0.0ms	x	@	-inf	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
498×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	125	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)

Outputs

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

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-neg_binary64`
400×	`div-sub_binary64`
326×	`cancel-sign-sub-inv_binary64`
215×	`associate-l_binary64`
174×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	153
1	32	153
2	61	153
3	189	153
4	614	153
5	2622	153

Stop Event

1×	node limit

Counts

45 → 27

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) 2) x)
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) 2) x)
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) 2) x)
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) 2) x)
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(/.f64 1 y)
(/.f64 -1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
x
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
x
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))
(+.f64 (/.f64 1 y) x)
(+.f64 x (/.f64 1 y))
(+.f64 x (/.f64 -1 y))

prune20.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	27	5	32

Error

Counts

32 → 5

Alt Table

Status	Error	Program
✓	29.5b	(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)
✓	6.6b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
	30.5b	(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 y))) (/.f64 (pow.f64 y -2) (-.f64 x (/.f64 1 y))))
✓	11.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	2.5b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 302 to 211 computations (30.1% saved)

regimes188.0ms (3.8%)

Accuracy

Total 3.1b remaining (99.7%)

Threshold costs 0b (0%)

Counts

19 → 3

Compiler

Compiled 274 to 145 computations (47.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
0.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Steps

Iters	Point		Range
4e-265	∈ [	2.4552995368983976e-265	,	1.6506062148474676e-262	]
-2e-179	∈ [	-2.8373962243687485e-179	,	-1.869492686869954e-204	]

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	27	65

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (+.f64 x (/.f64 1 y)) (if (<=.f64 (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) 7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) x (+.f64 x (/.f64 1 y))))

Outputs

(if (<=.f64 (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (+.f64 x (/.f64 1 y)) (if (<=.f64 (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) 7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) x (+.f64 x (/.f64 1 y))))

(if (<=.f64 (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z))))) y)) -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (+.f64 x (/.f64 1 y)) (if (<=.f64 (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z))))) y)) 7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) x (+.f64 x (/.f64 1 y))))

end124.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 157 to 88 computations (43.9% saved)

Details

analyze1.4s (27.2%)

sample2.5s (49.9%)

preprocess52.0ms (1%)

simplify25.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series33.0ms (0.7%)

rewrite61.0ms (1.2%)

simplify77.0ms (1.5%)

prune153.0ms (3.1%)

localize3.0ms (0.1%)

series2.0ms (0%)

rewrite34.0ms (0.7%)

simplify12.0ms (0.2%)

prune27.0ms (0.6%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite46.0ms (0.9%)

simplify30.0ms (0.6%)

prune70.0ms (1.4%)

localize7.0ms (0.1%)

series73.0ms (1.5%)

rewrite40.0ms (0.8%)

simplify28.0ms (0.6%)

prune20.0ms (0.4%)

regimes188.0ms (3.8%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end124.0ms (2.5%)

Profiling