Details

analyze527.0ms (7.8%)

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.8s (40.9%)

Results

1.3s	6668×	body	256	valid
566.0ms	970×	body	1024	valid
388.0ms	2399×	body	256	invalid
241.0ms	611×	body	512	valid
109.0ms	232×	body	512	invalid
102.0ms	192×	body	1024	invalid
6.0ms	7×	body	2048	valid

preprocess41.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

792×	`times-frac_binary64`
586×	`associate-/l/_binary64`
458×	`associate-/r/_binary64`
424×	`unswap-sqr_binary64`
358×	`fma-def_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 19 to 13 computations (31.6% saved)

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
448×	`fma-neg_binary64`
363×	`fma-def_binary64`
343×	`exp-sum_binary64`
253×	`associate-l_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
8	6666	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))

eval1.0ms (0%)

Compiler: Compiled 27 to 15 computations (44.4% 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

7.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.4b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	8.2b	(pow.f64 (/.f64 y (+.f64 y z)) y)
	0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
	0.0b	(/.f64 y (+.f64 y z))
✓	0.0b	(/.f64 y (+.f64 y z))
✓	0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓	8.2b	(pow.f64 (/.f64 y (+.f64 y z)) y)

Compiler

Compiled 41 to 8 computations (80.5% saved)

series29.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
3.0ms	y	@	inf	(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	y	@	0	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
374×	`fma-def_binary64`
308×	`pow2_binary64`
231×	`pow-unpow_binary64`
229×	`pow-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 → 123

Calls

Call 1

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

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

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

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-/l*_binary64`
562×	`associate-/r*_binary64`
276×	`fma-def_binary64`
220×	`associate-*l/_binary64`
216×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3163
1	953	2771
2	3835	2394

Stop Event

1×	node limit

Counts

207 → 218

Calls

Call 1

Inputs
1
(+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y) 1)
(+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y) (+.f64 1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) 2)) (/.f64 1 z)) (pow.f64 y 2))))
(+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) 3)) (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) z)))) (pow.f64 y 3)) (+.f64 1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) 2)) (/.f64 1 z)) (pow.f64 y 2)))))
(exp.f64 (*.f64 -1 z))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))) y)) (exp.f64 (.f64 -1 z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 6 (pow.f64 z 3)) (+.f64 (.f64 -2 (pow.f64 z 3)) (.f64 -6 (pow.f64 z 3))))) (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) 2))) (exp.f64 (.f64 -1 z))) (pow.f64 y 2)) (exp.f64 (*.f64 -1 z))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 -12 (pow.f64 z 4)) (+.f64 (.f64 -24 (pow.f64 z 4)) (+.f64 (.f64 48 (pow.f64 z 4)) (.f64 -6 (pow.f64 z 4)))))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) 3)) (.f64 1/12 (.f64 (+.f64 (.f64 6 (pow.f64 z 3)) (+.f64 (.f64 -2 (pow.f64 z 3)) (.f64 -6 (pow.f64 z 3)))) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))))))) (exp.f64 (.f64 -1 z))) (pow.f64 y 3)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 6 (pow.f64 z 3)) (+.f64 (.f64 -2 (pow.f64 z 3)) (.f64 -6 (pow.f64 z 3))))) (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) 2))) (exp.f64 (.f64 -1 z))) (pow.f64 y 2)) (exp.f64 (.f64 -1 z)))))
(exp.f64 (*.f64 -1 z))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))) y)) (exp.f64 (.f64 -1 z)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) 2)) (.f64 -1/6 (+.f64 (.f64 6 (pow.f64 z 3)) (+.f64 (.f64 -6 (pow.f64 z 3)) (.f64 2 (pow.f64 z 3)))))) (exp.f64 (.f64 -1 z))) (pow.f64 y 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))) y)) (exp.f64 (*.f64 -1 z))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) 2)) (.f64 -1/6 (+.f64 (.f64 6 (pow.f64 z 3)) (+.f64 (.f64 -6 (pow.f64 z 3)) (.f64 2 (pow.f64 z 3)))))) (exp.f64 (.f64 -1 z))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 1/12 (.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) (+.f64 (.f64 6 (pow.f64 z 3)) (+.f64 (.f64 -6 (pow.f64 z 3)) (.f64 2 (pow.f64 z 3)))))) (+.f64 (.f64 -1/24 (+.f64 (.f64 -12 (pow.f64 z 4)) (+.f64 (.f64 -24 (pow.f64 z 4)) (+.f64 (.f64 48 (pow.f64 z 4)) (.f64 -6 (pow.f64 z 4)))))) (.f64 -1/48 (pow.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2))) 3))))) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 z)) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))) y)) (exp.f64 (*.f64 -1 z)))))
1
(+.f64 (*.f64 -1 z) 1)
(+.f64 (.f64 -1 z) (+.f64 1 (.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) 1/2) (pow.f64 z 2))))
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 1/6 (.f64 1/3 (/.f64 1 (pow.f64 y 2))))) (pow.f64 z 3))) (.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) 1/2) (pow.f64 z 2)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y))) z)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y))) z)) (+.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y)) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))))) (.f64 1/2 (pow.f64 y 4))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 z)) (log.f64 y)) y))) (pow.f64 z 2))))
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x
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x
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x
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1
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1
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1
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(/.f64 y z)
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(/.f64 y z)
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Outputs
1
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(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) (/.f64 (fma.f64 -1/6 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y (pow.f64 y 4)) (.f64 (.f64 (pow.f64 y 3) -2) (.f64 y 1/6)))) (pow.f64 z 3)) (-.f64 (+.f64 x (fma.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 y 3) (pow.f64 y 4))) y) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (.f64 z z)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))) (*.f64 (/.f64 y z) (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 1 z) y) y) y) (/.f64 (fma.f64 -1/6 (pow.f64 y 6) (fma.f64 1/6 (.f64 (pow.f64 y 4) -2) (.f64 -1/2 (pow.f64 y 5)))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 y 3) (pow.f64 y 4))) (.f64 z z)) 1) (/.f64 (pow.f64 (.f64 (/.f64 1 z) y) y) y)) (-.f64 x (.f64 (/.f64 y z) (pow.f64 (*.f64 (/.f64 1 z) y) y)))))
(+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z))))) y) x)
(+.f64 x (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) y))
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(+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z))))) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))))) (.f64 1/2 (pow.f64 y 4))) (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z)))))) (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 (.f64 y (+.f64 (log.f64 (*.f64 -1 y)) (log.f64 (/.f64 -1 z)))))) z)) x)))
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(+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) y) (fma.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 y 3) (pow.f64 y 4))) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) (.f64 z z)) (-.f64 x (*.f64 (/.f64 y z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))))))))
(+.f64 (-.f64 x (/.f64 (pow.f64 (neg.f64 y) y) (/.f64 (/.f64 z y) (pow.f64 (/.f64 -1 z) y)))) (.f64 (+.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 y 3) (pow.f64 y 4))) (*.f64 z z)) 1) (/.f64 (pow.f64 (neg.f64 y) y) (/.f64 y (pow.f64 (/.f64 -1 z) y)))))
(+.f64 (/.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z))))) y) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z))))) (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (.f64 1/6 (.f64 y (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3)))))) (.f64 1/2 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))))))) (.f64 y (pow.f64 z 3)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))))) (.f64 1/2 (pow.f64 y 4))) (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z)))))) (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 y)) (log.f64 (/.f64 -1 z)))))) z)) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) y) (fma.f64 -1 (.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) y) (/.f64 (fma.f64 1/6 (pow.f64 y 6) (fma.f64 1/6 (.f64 y (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 8))) (.f64 1/2 (.f64 (pow.f64 y 3) (.f64 (.f64 y y) 1))))) (pow.f64 z 3))) (+.f64 (fma.f64 -1 (/.f64 y (/.f64 z (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))))) x) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 y (.f64 (.f64 y y) 1)) (pow.f64 y 4))) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) (*.f64 z z))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) y) (-.f64 (fma.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 y 3) (pow.f64 y 4))) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) (.f64 z z)) (-.f64 x (.f64 (/.f64 y z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))))))) (.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) y) (/.f64 (fma.f64 1/6 (pow.f64 y 6) (fma.f64 1/2 (.f64 y (pow.f64 y 4)) (.f64 (.f64 2 (pow.f64 y 3)) (.f64 y 1/6)))) (pow.f64 z 3)))))
(+.f64 (/.f64 (pow.f64 (neg.f64 y) y) (/.f64 y (pow.f64 (/.f64 -1 z) y))) (+.f64 (-.f64 x (/.f64 (pow.f64 (neg.f64 y) y) (/.f64 (/.f64 z y) (pow.f64 (/.f64 -1 z) y)))) (.f64 (/.f64 (pow.f64 (neg.f64 y) y) (/.f64 y (pow.f64 (/.f64 -1 z) y))) (+.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 y 3) (pow.f64 y 4))) (.f64 z z)) (/.f64 (neg.f64 (fma.f64 1/6 (pow.f64 y 6) (fma.f64 1/2 (pow.f64 y 5) (.f64 1/6 (*.f64 (pow.f64 y 4) 2))))) (pow.f64 z 3))))))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (/.f64 y z))
(fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (/.f64 y z))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (/.f64 y z)))
(+.f64 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (/.f64 y z) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (/.f64 y z) (-.f64 (pow.f64 (/.f64 y z) 3) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (/.f64 y z))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (fma.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 y z))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (pow.f64 (/.f64 y z) 3) (-.f64 (-.f64 (/.f64 y z) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (*.f64 (/.f64 y z) (/.f64 y z))))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 z y)) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (/.f64 z y) (/.f64 (.f64 z z) (.f64 y y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 z y)))
(+.f64 1 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 z y))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 z y) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (.f64 z z) (.f64 y y)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 z y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 z y))) (pow.f64 (/.f64 z y) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 z y)) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (/.f64 z y) (/.f64 (.f64 z z) (.f64 y y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 z y)))
(+.f64 1 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 z y))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 z y) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (.f64 z z) (.f64 y y)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 z y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 z y))) (pow.f64 (/.f64 z y) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 z y)) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (/.f64 z y) (/.f64 (.f64 z z) (.f64 y y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 z y)))
(+.f64 1 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 z y))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 z y) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (/.f64 (.f64 z z) (.f64 y y)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 z y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 z y))) (pow.f64 (/.f64 z y) 3)))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (/.f64 y z))
(fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (/.f64 y z))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (/.f64 y z)))
(+.f64 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (/.f64 y z) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (/.f64 y z) (-.f64 (pow.f64 (/.f64 y z) 3) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (/.f64 y z))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (fma.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 y z))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (pow.f64 (/.f64 y z) 3) (-.f64 (-.f64 (/.f64 y z) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (*.f64 (/.f64 y z) (/.f64 y z))))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (/.f64 y z))
(fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (/.f64 y z))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (/.f64 y z)))
(+.f64 (fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (/.f64 y z) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (/.f64 y z) (-.f64 (pow.f64 (/.f64 y z) 3) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (/.f64 y z))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (.f64 y y) (.f64 z z)) (fma.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 y z))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (-.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 (pow.f64 (/.f64 y z) 3) (-.f64 (-.f64 (/.f64 y z) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (*.f64 (/.f64 y z) (/.f64 y z))))

eval164.0ms (2.4%)

Compiler: Compiled 5973 to 3020 computations (49.4% saved)

prune59.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	210	8	218
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	8	219

Error

Counts

219 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.2b	(+.f64 (/.f64 1 y) (-.f64 x (/.f64 z y)))
▶	34.6b	(/.f64 1 y)
	8.6b	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) 3)
▶	15.2b	(+.f64 x (/.f64 (-.f64 1 z) y))
▶	33.4b	(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
	41.8b	(/.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)))))
	28.7b	x
▶	1.4b	(+.f64 (/.f64 1 y) x)

Compiler

Compiled 226 to 129 computations (42.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite48.0ms (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`
606×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1709	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	7	12

Stop Event

1×

saturated

Counts

39 → 35

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+.f64 x (/.f64 (-.f64 1 z) y))
1.0ms	x	@	0	(+.f64 x (/.f64 (-.f64 1 z) y))
1.0ms	z	@	inf	(+.f64 x (/.f64 (-.f64 1 z) y))
0.0ms	z	@	inf	(/.f64 (-.f64 1 z) y)
0.0ms	y	@	0	(/.f64 (-.f64 1 z) y)

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`prod-diff_binary64`
446×	`log-prod_binary64`
280×	`pow-prod-down_binary64`
262×	`fma-def_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	17
2	2637	17

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

259×	`fma-neg_binary64`
195×	`fma-def_binary64`
79×	`cancel-sign-sub-inv_binary64`
46×	`sub-neg_binary64`
37×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	467
1	36	386
2	51	386
3	82	386
4	125	386
5	224	386
6	399	386
7	666	386
8	933	386
9	1130	386
10	1177	386

Stop Event

1×

saturated

Counts

187 → 149

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite102.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
430×	`fma-def_binary64`
364×	`pow-prod-down_binary64`
276×	`pow2_binary64`
229×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	204	20
2	3110	20

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

259×	`fma-neg_binary64`
195×	`fma-def_binary64`
79×	`cancel-sign-sub-inv_binary64`
46×	`sub-neg_binary64`
37×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	633
1	34	525
2	49	525
3	82	525
4	125	525
5	224	525
6	398	525
7	664	525
8	931	525
9	1127	525
10	1174	525

Stop Event

1×

saturated

Counts

262 → 202

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.5b	(pow.f64 (/.f64 y z) y)
	0.0b	(/.f64 (pow.f64 (/.f64 y z) y) y)
✓	0.0b	(/.f64 (pow.f64 (/.f64 y z) y) y)
✓	7.5b	(pow.f64 (/.f64 y z) y)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series68.0ms (1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	z	@	0	(pow.f64 (/.f64 y z) y)
21.0ms	z	@	-inf	(pow.f64 (/.f64 y z) y)
7.0ms	z	@	inf	(pow.f64 (/.f64 y z) y)
1.0ms	y	@	-inf	(/.f64 (pow.f64 (/.f64 y z) y) y)
1.0ms	y	@	0	(pow.f64 (/.f64 y z) y)

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
711×	`add-log-exp_binary64`
711×	`log1p-expm1-u_binary64`
711×	`expm1-log1p-u_binary64`
693×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	17
2	1888	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

580×	`cancel-sign-sub-inv_binary64`
440×	`fma-neg_binary64`
375×	`*-commutative_binary64`
326×	`unsub-neg_binary64`
255×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	621
1	143	547
2	418	473
3	2321	396
4	4822	395

Stop Event

1×	node limit

Counts

79 → 69

Calls

Call 1

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

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

eval180.0ms (2.7%)

Compiler: Compiled 8089 to 3852 computations (52.4% saved)

prune138.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	452	3	455
Fresh	2	1	3
Picked	0	1	1
Done	2	2	4
Total	456	7	463

Error

Counts

463 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.3b	(-.f64 (/.f64 1 y) (/.f64 z y))
▶	28.1b	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
✓	33.4b	(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
▶	44.3b	(/.f64 (-.f64 1 z) y)
✓	34.6b	(/.f64 1 y)
	28.7b	x
✓	1.4b	(+.f64 (/.f64 1 y) x)

Compiler

Compiled 64 to 45 computations (29.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 z) y)
	0.0b	(/.f64 (-.f64 1 z) y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize18.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	25.1b	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
	3.2b	(-.f64 (pow.f64 y -2) (*.f64 x x))
	0.0b	(-.f64 (/.f64 1 y) x)
✓	0.0b	(-.f64 (/.f64 1 y) x)
✓	3.2b	(-.f64 (pow.f64 y -2) (*.f64 x x))
✓	25.1b	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
1.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
1.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
1.0ms	y	@	inf	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))

rewrite101.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
428×	`fma-def_binary64`
317×	`pow2_binary64`
222×	`fma-neg_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	257	24
2	3650	24

Stop Event

1×	node limit

Counts

3 → 278

Calls

Call 1

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

Outputs

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

617×	`associate-l_binary64`
538×	`distribute-neg-frac_binary64`
514×	`fma-neg_binary64`
428×	`fma-def_binary64`
418×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	628
1	31	556
2	49	556
3	97	556
4	238	556
5	737	556
6	2620	556
7	5450	556

Stop Event

1×	node limit

Counts

350 → 290

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)
(/.f64 1 (pow.f64 y 2))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 y 2))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (*.f64 -1 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)
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 y y)) (neg.f64 (.f64 x x)))
(-.f64 (/.f64 1 (.f64 y y)) (.f64 x x))
(fma.f64 x (neg.f64 x) (/.f64 1 (*.f64 y y)))
(neg.f64 (fma.f64 x x (/.f64 -1 (*.f64 y y))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (*.f64 -1 x))
(+.f64 (/.f64 1 y) (neg.f64 x))
(-.f64 (/.f64 1 y) x)

localize45.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 1 y) (/.f64 z y))
✓	0.0b	(-.f64 (/.f64 1 y) (/.f64 z y))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(-.f64 (/.f64 1 y) (/.f64 z y))
0.0ms	y	@	-inf	(-.f64 (/.f64 1 y) (/.f64 z y))
0.0ms	y	@	inf	(-.f64 (/.f64 1 y) (/.f64 z y))
0.0ms	z	@	inf	(-.f64 (/.f64 1 y) (/.f64 z y))
0.0ms	z	@	0	(-.f64 (/.f64 1 y) (/.f64 z y))

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	158	7
2	2397	7

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

135×	`fma-def_binary64`
118×	`fma-neg_binary64`
27×	`div-sub_binary64`
25×	`cancel-sign-sub-inv_binary64`
22×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	669	163
10	715	163

Stop Event

1×

saturated

Counts

80 → 61

Calls

Call 1

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

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

eval272.0ms (4%)

Compiler: Compiled 8240 to 4701 computations (42.9% saved)

prune116.0ms (1.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	425	1	426
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	425	8	433

Error

Counts

433 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.3b	(-.f64 (/.f64 1 y) (/.f64 z y))
✓	28.1b	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
▶	46.4b	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
✓	33.4b	(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
✓	44.3b	(/.f64 (-.f64 1 z) y)
✓	34.6b	(/.f64 1 y)
	28.7b	x
✓	1.4b	(+.f64 (/.f64 1 y) x)

Compiler

Compiled 78 to 55 computations (29.5% saved)

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	15.3b	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
	0.3b	(/.f64 1 (*.f64 y y))
	0.0b	(-.f64 (/.f64 1 y) x)
	0.0b	(-.f64 (/.f64 1 y) x)
✓	0.3b	(/.f64 1 (*.f64 y y))
✓	15.3b	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
1.0ms	x	@	inf	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
1.0ms	y	@	0	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
1.0ms	x	@	-inf	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
1.0ms	y	@	-inf	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`prod-diff_binary64`
474×	`log-prod_binary64`
307×	`pow-prod-down_binary64`
267×	`fma-def_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	202	17
2	2899	17

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
(/.f64 1 (*.f64 y y))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -4)) (pow.f64 (cbrt.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (pow.f64 y -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) 1) (/.f64 (pow.f64 (cbrt.f64 y) -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) 1) (pow.f64 y -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -3/2) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -2) 5/6) (pow.f64 (cbrt.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) -1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 y (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y -6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 y -2)))))))

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary64`
696×	`associate-/r*_binary64`
683×	`fma-neg_binary64`
655×	`distribute-neg-frac_binary64`
597×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	734
1	121	702
2	357	702
3	1372	692
4	4481	656

Stop Event

1×	node limit

Counts

124 → 104

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (+.f64 x (*.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 x (.f64 y (pow.f64 x 2)))))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (+.f64 x (*.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 x (.f64 y (pow.f64 x 2)))))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (pow.f64 y 2))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (+.f64 x (*.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 y) (+.f64 x (.f64 y (.f64 x x))))
(+.f64 (/.f64 1 y) (fma.f64 y (*.f64 x x) x))
(fma.f64 (fma.f64 y x 1) x (/.f64 1 y))
(fma.f64 x (fma.f64 y x 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 x (.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 y) (fma.f64 (.f64 y y) (pow.f64 x 3) (+.f64 x (.f64 y (*.f64 x x)))))
(+.f64 (/.f64 1 y) (fma.f64 (.f64 y y) (pow.f64 x 3) (fma.f64 y (.f64 x x) x)))
(+.f64 (/.f64 1 y) (fma.f64 y (.f64 x x) (fma.f64 y (.f64 y (pow.f64 x 3)) x)))
(+.f64 x (fma.f64 y (.f64 x (.f64 x (fma.f64 y x 1))) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (fma.f64 (fma.f64 y x 1) (.f64 y (.f64 x x)) x))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(/.f64 -1 (.f64 x (.f64 y y)))
(/.f64 (/.f64 -1 y) (*.f64 y x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))))
(-.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 x (.f64 y y))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))))
(.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 3)) (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3)) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(-.f64 (-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))) (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))) (/.f64 -1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 5)) (pow.f64 x 4))))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(/.f64 -1 (.f64 x (.f64 y y)))
(/.f64 (/.f64 -1 y) (*.f64 y x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))))
(-.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 x (.f64 y y))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))))
(.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 3)) (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3)) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(-.f64 (-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))) (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))) (/.f64 -1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 5)) (pow.f64 x 4))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) (+.f64 x (*.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 y) (+.f64 x (.f64 y (.f64 x x))))
(+.f64 (/.f64 1 y) (fma.f64 y (*.f64 x x) x))
(fma.f64 (fma.f64 y x 1) x (/.f64 1 y))
(fma.f64 x (fma.f64 y x 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 x (.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 1 y) (fma.f64 (.f64 y y) (pow.f64 x 3) (+.f64 x (.f64 y (*.f64 x x)))))
(+.f64 (/.f64 1 y) (fma.f64 (.f64 y y) (pow.f64 x 3) (fma.f64 y (.f64 x x) x)))
(+.f64 (/.f64 1 y) (fma.f64 y (.f64 x x) (fma.f64 y (.f64 y (pow.f64 x 3)) x)))
(+.f64 x (fma.f64 y (.f64 x (.f64 x (fma.f64 y x 1))) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (fma.f64 (fma.f64 y x 1) (.f64 y (.f64 x x)) x))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(/.f64 -1 (.f64 x (.f64 y y)))
(/.f64 (/.f64 -1 y) (*.f64 y x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))))
(-.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 x (.f64 y y))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))))
(.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 3)) (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3)) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(-.f64 (-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))) (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))) (/.f64 -1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 5)) (pow.f64 x 4))))
(/.f64 -1 (*.f64 (pow.f64 y 2) x))
(/.f64 -1 (.f64 x (.f64 y y)))
(/.f64 (/.f64 -1 y) (*.f64 y x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))))
(-.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 x (.f64 y y))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))))
(.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 3)) (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (/.f64 -1 (.f64 (*.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))))
(-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 x 3)) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(-.f64 (-.f64 (/.f64 -1 (.f64 x (.f64 y y))) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 1 (.f64 (pow.f64 y 5) (pow.f64 x 4))))) (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (/.f64 (/.f64 -1 y) (.f64 y x)) (+.f64 (+.f64 (/.f64 -1 (.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3))) (/.f64 -1 (.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 -1 (pow.f64 y 4)) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 (/.f64 1 y) (.f64 y x)) (+.f64 -1 (/.f64 -1 (*.f64 y x)))) (/.f64 (/.f64 -1 (pow.f64 y 5)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))
(/.f64 1 (pow.f64 y 2))
(/.f64 1 (*.f64 y y))

eval123.0ms (1.8%)

Compiler: Compiled 3448 to 2155 computations (37.5% saved)

prune53.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	206	8	214

Error

Counts

214 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.3b	(-.f64 (/.f64 1 y) (/.f64 z y))
✓	28.1b	(/.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))
✓	46.4b	(/.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 y) x))
✓	33.4b	(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
✓	44.3b	(/.f64 (-.f64 1 z) y)
✓	34.6b	(/.f64 1 y)
	28.7b	x
✓	1.4b	(+.f64 (/.f64 1 y) x)

Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes24.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
7.0ms	z
6.0ms	y

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
1.4b	1	`z`

Compiler

Compiled 69 to 43 computations (37.7% saved)

regimes76.0ms (1.1%)

Accuracy

Total -50.6b remaining (-449.2%)

Threshold costs -50.6b (-449.2%)

Counts

2 → 7

Calls

Call 1

Inputs
x
(/.f64 1 y)

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

Calls

3 calls:

27.0ms	y
26.0ms	z
22.0ms	x

Results

Error	Segments	Branch
16.8b	5	`x`
11.3b	7	`y`
19.6b	7	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch759.0ms (11.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
296.0ms	2.1525770661524718e-78	2.6362283042868488e-46
154.0ms	1.398242355667516e-106	1.8784165859983605e-101
101.0ms	1.0530179797896805e-138	1.3084382757461772e-136
41.0ms	-3.1877400472574574e-54	-1.705630562949239e-54
37.0ms	-1.9400761648083173	-0.767553467207634
129.0ms	-1.1340785064916068e+80	-2.31773442609651e+79

Compiler

Compiled 526 to 435 computations (17.3% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	60
1	28	60

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -23500000000000001125196417184886418651668608416580533526321403332404400422387712) x (if (<=.f64 y -4278419646001971/2251799813685248) (/.f64 1 y) (if (<=.f64 y -6039028053441743/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 y 1743015030892537600/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 1 y) (if (<=.f64 y 5784239726914675/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) x (if (<=.f64 y 5928554968950589/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 1 y) x))))))

Outputs
(+.f64 (/.f64 1 y) x)
(if (<=.f64 y -23500000000000001125196417184886418651668608416580533526321403332404400422387712) x (if (<=.f64 y -4278419646001971/2251799813685248) (/.f64 1 y) (if (<=.f64 y -6039028053441743/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 y 1743015030892537600/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 1 y) (if (<=.f64 y 5784239726914675/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) x (if (<=.f64 y 5928554968950589/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 1 y) x))))))
(if (<=.f64 y -23500000000000001125196417184886418651668608416580533526321403332404400422387712) x (if (<=.f64 y -4278419646001971/2251799813685248) (/.f64 1 y) (if (<=.f64 y -6039028053441743/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 y 6808652464423975/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 1 y) (if (<=.f64 y 5784239726914675/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) x (if (<=.f64 y 5928554968950589/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 1 y) x))))))
x

end57.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 98 to 66 computations (32.7% saved)

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	669	163
10	715	163

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	669	163
10	715	163

Details

analyze527.0ms (7.8%)

sample2.8s (40.9%)

preprocess41.0ms (0.6%)

simplify44.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series29.0ms (0.4%)

rewrite69.0ms (1%)

simplify136.0ms (2%)

eval164.0ms (2.4%)

prune59.0ms (0.9%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite48.0ms (0.7%)

simplify7.0ms (0.1%)

localize4.0ms (0.1%)

localize14.0ms (0.2%)

series7.0ms (0.1%)

rewrite73.0ms (1.1%)

simplify38.0ms (0.6%)

localize11.0ms (0.2%)

series5.0ms (0.1%)

rewrite102.0ms (1.5%)

simplify54.0ms (0.8%)

localize13.0ms (0.2%)

series68.0ms (1%)

rewrite52.0ms (0.8%)

simplify44.0ms (0.7%)

eval180.0ms (2.7%)

prune138.0ms (2.1%)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

simplify68.0ms (1%)

localize18.0ms (0.3%)

series9.0ms (0.1%)

rewrite101.0ms (1.5%)

simplify70.0ms (1%)

localize45.0ms (0.7%)

series2.0ms (0%)

rewrite53.0ms (0.8%)

simplify21.0ms (0.3%)

eval272.0ms (4%)

prune116.0ms (1.7%)

localize17.0ms (0.2%)

series5.0ms (0.1%)

rewrite63.0ms (0.9%)

simplify48.0ms (0.7%)

eval123.0ms (1.8%)

prune53.0ms (0.8%)

regimes24.0ms (0.4%)

regimes76.0ms (1.1%)

bsearch759.0ms (11.3%)

simplify19.0ms (0.3%)

end57.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	669	163
10	715	163