Details

analyze91.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
12.5%	37.5%	50%	5
18.7%	31.2%	50%	6
28.1%	21.9%	50%	7
32.8%	17.2%	50%	8
37.5%	11.7%	50.8%	9
39.8%	9%	51.2%	10
42.1%	6%	51.8%	11
43.3%	4.6%	52.1%	12
44.5%	3.1%	52.4%	13
45.1%	2.3%	52.6%	14

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.0s (34.7%)

Results

1.0s	8256×	body	128	valid
12.0ms	108×	body	128	invalid

Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess49.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

980×	`fma-neg_binary64`
456×	`cancel-sign-sub-inv_binary64`
286×	`fma-def_binary64`
206×	`div-sub_binary64`
204×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	100	36
3	209	36
4	445	32
5	834	32
6	1729	32
7	3228	32
8	4595	32
9	4872	32
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 y 9))) (/.f64 x (.f64 3 (sqrt.f64 y))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (.f64 x 9)) (/.f64 y (.f64 3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(-.f64 1 (-.f64 (/.f64 1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1))
(+.f64 (/.f64 -1/9 x) (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (/.f64 1 (.f64 y 9))) (/.f64 x (.f64 3 (sqrt.f64 y))))
(-.f64 1 (+.f64 (/.f64 1 (.f64 9 y)) (/.f64 x (.f64 3 (sqrt.f64 y)))))
(-.f64 1 (+.f64 (/.f64 1/9 y) (/.f64 x (*.f64 3 (sqrt.f64 y)))))
(-.f64 (-.f64 1 (/.f64 1/9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y))))
(+.f64 1 (+.f64 (/.f64 -1/9 y) (*.f64 -1/3 (/.f64 x (sqrt.f64 y)))))
(fma.f64 -1/3 (/.f64 x (sqrt.f64 y)) (-.f64 1 (/.f64 1/9 y)))
(-.f64 1 (fma.f64 1/3 (/.f64 x (sqrt.f64 y)) (/.f64 1/9 y)))
(fma.f64 (/.f64 x (sqrt.f64 y)) -1/3 (-.f64 1 (/.f64 1/9 y)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify25.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-neg_binary64`
309×	`fma-def_binary64`
228×	`cancel-sign-sub-inv_binary64`
83×	`associate-/l*_binary64`
72×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	114	18
4	234	16
5	440	16
6	866	16
7	1567	16
8	2339	16
9	2371	16
10	2394	16

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.3b	(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))

Compiler

Compiled 85 to 66 computations (22.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
✓	0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
✓	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.5b	(/.f64 1 (*.f64 x 9))

series26.0ms (0.9%)

Counts

4 → 38

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(*.f64 3 (sqrt.f64 x))
4.0ms	x	@	-inf	(/.f64 y (*.f64 3 (sqrt.f64 x)))
2.0ms	y	@	-inf	(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms	y	@	0	(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms	x	@	0	(*.f64 3 (sqrt.f64 x))

rewrite79.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
185×	`fma-neg_binary64`
144×	`add-sqr-sqrt_binary64`
139×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	290	37
2	4125	37

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x 9))
(*.f64 3 (sqrt.f64 x))
(/.f64 y (*.f64 3 (sqrt.f64 x)))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -1) (pow.f64 (cbrt.f64 (.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x)))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (.f64 (.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 3) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) 3) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (.f64 x 9))) (cbrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 x 9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (.f64 3 (sqrt.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (/.f64 (sqrt.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (/.f64 1/9 x)) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1 (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (.f64 (.f64 y y) (/.f64 1/9 x))) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) 2) (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (.f64 (.f64 y y) (/.f64 1/9 x))) (/.f64 1 (+.f64 (.f64 y (/.f64 1/3 (sqrt.f64 x))) (-.f64 1 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> 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y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (/.f64 (sqrt.f64 x) y))) (.f64 (+.f64 1 (/.f64 1/9 x)) 1)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (/.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -3)) (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) y)) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 1 (/.f64 1/9 x)) y)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -3)) (.f64 (sqrt.f64 x) -3)) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) (neg.f64 y))) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) (.f64 (sqrt.f64 x) -3)))))) 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x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (-.f64 (.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))) (.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (+.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (.f64 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))) (-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 1/9 x)) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/9 x)) 1 (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) 2) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 x 9) -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2)))) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))) 1))))))

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

341×	`fma-def_binary64`
277×	`fma-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-neg-in_binary64`
49×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	417
1	40	399
2	88	399
3	180	399
4	380	399
5	666	399
6	1080	399
7	1319	399
8	1389	399
9	1396	399

Stop Event

1×

saturated

Counts

174 → 147

Calls

Call 1

Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))

Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x)))
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))

prune193.0ms (6.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	137	10	147
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	139	10	149

Error

0.0b

Counts

149 → 10

Alt Table

Status	Error	Program
	0.3b	(+.f64 1 (neg.f64 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
	0.6b	(-.f64 (-.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -1) (pow.f64 (cbrt.f64 (.f64 x 9)) -1))) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.4b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (sqrt.f64 (.f64 x 9))))
	0.6b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3)))
	0.3b	(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
	14.5b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 1 (/.f64 1/9 x)) y)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))))
	20.0b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (/.f64 (sqrt.f64 x) y))) (.f64 (+.f64 1 (/.f64 1/9 x)) 1)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (/.f64 (sqrt.f64 x) y))))
	0.3b	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
▶	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
	0.3b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x))))

Compiler

Compiled 3401 to 2506 computations (26.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
✓	0.2b	(/.f64 y (sqrt.f64 x))
✓	0.3b	(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
	0.5b	(/.f64 1 (*.f64 x 9))

series8.0ms (0.3%)

Counts

3 → 38

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 y (sqrt.f64 x))
1.0ms	y	@	0	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
1.0ms	y	@	-inf	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
1.0ms	x	@	0	(/.f64 y (sqrt.f64 x))
0.0ms	y	@	-inf	(/.f64 y (sqrt.f64 x))

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`
188×	`fma-neg_binary64`
147×	`add-sqr-sqrt_binary64`
140×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	297	33
2	4041	33

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 1/3 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/3 y) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/3 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/3 y) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 y) 1/3) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (neg.f64 y)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (/.f64 (.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) (cbrt.f64 (/.f64 (.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 y y) x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1 (/.f64 1/9 x) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (/.f64 (.f64 -1/3 y) (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))) (fma.f64 (/.f64 (.f64 -1/3 y) (sqrt.f64 x)) 1 (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)))) (cbrt.f64 (.f64 1/9 (/.f64 (.f64 y y) x))) (/.f64 (.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 -1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) (+.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (.f64 1/9 (/.f64 (.f64 y y) x))) (/.f64 1 (+.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 (.f64 1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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Outputs

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(*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 1/9 (/.f64 (*.f64 y y) x))) (/.f64 1 (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))))))) (#(struct:change 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#<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 1/9 (/.f64 (*.f64 y y) x)))) (neg.f64 (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 3)) (sqrt.f64 x)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (/.f64 1/9 x) 2))) (*.f64 1/3 y))) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (/.f64 1/9 x) 2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 1/3 y))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x)) (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x))) (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (-.f64 (*.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (*.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x)) (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x)))) (+.f64 1 (+.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/9 x)) 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) 2) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (/.f64 1/9 x) 2)))) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 1))))))

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

341×	`fma-def_binary64`
277×	`fma-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-neg-in_binary64`
49×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	477
1	40	459
2	88	459
3	179	459
4	379	459
5	665	459
6	1079	459
7	1318	459
8	1388	459
9	1395	459

Stop Event

1×

saturated

Counts

141 → 114

Calls

Call 1

Inputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))

Outputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y -1/3))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 (.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))

prune184.0ms (6.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	145	7	152

Error

0.0b

Counts

152 → 7

Alt Table

Status	Error	Program
	14.5b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 1 (/.f64 1/9 x)) y)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))))
▶	0.2b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1/3 (/.f64 (sqrt.f64 x) y)))
	0.3b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))
	0.3b	(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
	0.6b	(-.f64 (-.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -1) (pow.f64 (cbrt.f64 (.f64 x 9)) -1))) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.3b	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))

Compiler

Compiled 3007 to 2140 computations (28.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1/3 (/.f64 (sqrt.f64 x) y)))
✓	0.2b	(/.f64 (sqrt.f64 x) y)
✓	0.5b	(/.f64 1/3 (/.f64 (sqrt.f64 x) y))
	0.5b	(/.f64 1 (*.f64 x 9))

series7.0ms (0.2%)

Counts

3 → 38

Calls

18 calls:

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

rewrite67.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
149×	`add-sqr-sqrt_binary64`
142×	`*-un-lft-identity_binary64`
142×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	300	33
2	4230	33

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs
(/.f64 1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) y)
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1/3 (/.f64 (sqrt.f64 x) y)))

Outputs

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(*.f64 (/.f64 (sqrt.f64 x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (/.f64 (neg.f64 (sqrt.f64 x)) y)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) -1/3)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (/.f64 (neg.f64 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (/.f64 (neg.f64 (sqrt.f64 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) -1/3)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (/.f64 (neg.f64 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)) (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x))) (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (-.f64 (*.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) (*.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)) (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x)))) (+.f64 1 (+.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))) (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))) 1))))))

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-neg_binary64`
434×	`div-sub_binary64`
375×	`fma-def_binary64`
362×	`associate-/l*_binary64`
196×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	477
1	46	423
2	99	423
3	202	423
4	402	423
5	695	423
6	1202	423
7	2168	423
8	3114	423
9	3693	423
10	3936	423
11	4274	423
12	4407	423
13	4567	423
14	4710	423

Stop Event

1×

saturated

Counts

149 → 122

Calls

Call 1

Inputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))

Outputs
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/3 y))
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 1 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(+.f64 (/.f64 -1/9 x) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) 1))

prune167.0ms (5.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Error

0.0b

Counts

157 → 7

Alt Table

Status	Error	Program
	14.5b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 1 (/.f64 1/9 x)) y)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1/3 (/.f64 (sqrt.f64 x) y)))
	0.3b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))
	0.3b	(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
	0.6b	(-.f64 (-.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -1) (pow.f64 (cbrt.f64 (.f64 x 9)) -1))) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.3b	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
▶	0.2b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))

Compiler

Compiled 3253 to 2191 computations (32.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
	0.2b	(/.f64 y (sqrt.f64 x))
	0.3b	(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
✓	0.4b	(/.f64 1/9 x)

series3.0ms (0.1%)

Counts

2 → 14

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
0.0ms	x	@	inf	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
0.0ms	x	@	-inf	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
0.0ms	x	@	0	(/.f64 1/9 x)
0.0ms	y	@	inf	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))

rewrite69.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

357×	`fma-def_binary64`
234×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
195×	`fma-neg_binary64`
137×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	274	22
2	3745	20

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

Inputs
(/.f64 1/9 x)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (*.f64 (/.f64 y (sqrt.f64 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/9 x) 1) 1)) (*.f64 (/.f64 y (sqrt.f64 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/9 x) 1) 1)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) (fma.f64 1/3 (/.f64 y (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))) (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 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(*.f64 1/3 y) (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (fma.f64 (*.f64 (/.f64 y (sqrt.f64 x)) -1/3) 1 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (cbrt.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x))) (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) (fma.f64 -1/3 (/.f64 y 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(sqrt.f64 x)) -1/3 (+.f64 1 (/.f64 -1/9 x)))) 1))))))

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

341×	`fma-def_binary64`
277×	`fma-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-neg-in_binary64`
49×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	225
1	40	207
2	88	207
3	179	207
4	379	207
5	665	207
6	1077	207
7	1316	207
8	1386	207
9	1393	207

Stop Event

1×

saturated

Counts

132 → 126

Calls

Call 1

Inputs
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))

Outputs
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))
(-.f64 1 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y) -1))

prune226.0ms (7.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	184	7	191

Error

0.0b

Counts

191 → 7

Alt Table

Status	Error	Program
	14.5b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -2)) (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 1 (/.f64 1/9 x)) y)) (.f64 (+.f64 1 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1/3 (/.f64 (sqrt.f64 x) y)))
	0.3b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))
	0.3b	(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
	0.6b	(-.f64 (-.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -1) (pow.f64 (cbrt.f64 (.f64 x 9)) -1))) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.3b	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
✓	0.2b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))

Compiler

Compiled 4041 to 2591 computations (35.9% saved)

regimes314.0ms (10.5%)

Accuracy

Total 0.2b remaining (84.4%)

Threshold costs 0.2b (84.4%)

Counts

133 → 1

Compiler

Compiled 2287 to 1592 computations (30.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	25	21
2	39	21
3	47	21
4	53	21
5	56	21
6	57	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))

Outputs

(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))

(+.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))

(+.f64 (+.f64 1 (/.f64 -1 (*.f64 x 9))) (*.f64 (/.f64 y (sqrt.f64 x)) -1/3))

end130.0ms (4.4%)

Stop Event

1×

fuel

Compiler

Compiled 185 to 151 computations (18.4% saved)

Details

analyze91.0ms (3%)

sample1.0s (34.7%)

preprocess49.0ms (1.6%)

simplify25.0ms (0.8%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series26.0ms (0.9%)

rewrite79.0ms (2.7%)

simplify45.0ms (1.5%)

prune193.0ms (6.5%)

localize13.0ms (0.4%)

series8.0ms (0.3%)

rewrite66.0ms (2.2%)

simplify37.0ms (1.2%)

prune184.0ms (6.2%)

localize9.0ms (0.3%)

series7.0ms (0.2%)

rewrite67.0ms (2.2%)

simplify85.0ms (2.8%)

prune167.0ms (5.6%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite69.0ms (2.3%)

simplify32.0ms (1.1%)

prune226.0ms (7.6%)

regimes314.0ms (10.5%)

simplify3.0ms (0.1%)

end130.0ms (4.4%)

Profiling