Details

analyze102.0ms (2.7%)

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)

sample1.1s (28.9%)

Results

1.1s	8256×	body	128	valid
12.0ms	105×	body	128	invalid

preprocess48.0ms (1.2%)

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)

simplify26.0ms (0.7%)

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)))

eval1.0ms (0%)

Compiler: Compiled 27 to 20 computations (25.9% saved)

prune2.0ms (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

Click to see full 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 58 to 46 computations (20.7% saved)

localize9.0ms (0.2%)

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))))
✓	0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
✓	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.3b	(/.f64 1 (*.f64 x 9))

series13.0ms (0.3%)

Counts

4 → 38

Calls

18 calls:

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

rewrite76.0ms (2%)

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 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 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 log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))))
((#(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 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 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 -.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 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 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 +.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 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(/.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 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))))) (#(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 expm1.f64 (log1p.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))))

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
292×	`fma-def_binary64`
121×	`cancel-sign-sub-inv_binary64`
47×	`distribute-rgt-in_binary64`
44×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	417
1	40	399
2	78	399
3	128	399
4	178	399
5	252	399
6	408	399
7	691	399
8	1049	399
9	1300	399
10	1465	399
11	1477	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 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))
(.f64 (.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(.f64 y (.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(.f64 (.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (.f64 -1/3 (.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.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 y -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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))

eval62.0ms (1.6%)

Compiler: Compiled 2959 to 2148 computations (27.4% saved)

prune377.0ms (9.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	137	10	147
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	138	11	149

Error

0.0b

Counts

149 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x))))))
	0.5b	(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (sqrt.f64 (.f64 x 9))))
	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))))
	0.2b	(-.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (/.f64 y (.f64 3 (sqrt.f64 x))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x))))
	20.9b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -3)) (sqrt.f64 x)) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) (.f64 y 1/3))) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (sqrt.f64 x)))
	0.3b	(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
	0.3b	(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

Compiler

Compiled 444 to 360 computations (18.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (sqrt.f64 (.f64 x 9))))
✓	0.1b	(sqrt.f64 (*.f64 x 9))
✓	0.2b	(/.f64 y (sqrt.f64 (*.f64 x 9)))
	0.3b	(/.f64 1 (*.f64 x 9))

series6.0ms (0.2%)

Counts

3 → 26

Calls

15 calls:

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

rewrite75.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

398×	`fma-def_binary64`
215×	`expm1-udef_binary64`
214×	`log1p-udef_binary64`
178×	`fma-neg_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	251	33
2	3607	31

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

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

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
290×	`fma-def_binary64`
123×	`cancel-sign-sub-inv_binary64`
47×	`distribute-rgt-in_binary64`
46×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	369
1	40	351
2	78	351
3	128	351
4	178	351
5	251	351
6	408	351
7	687	351
8	1049	351
9	1300	351
10	1465	351
11	1477	351

Stop Event

1×

saturated

Counts

192 → 176

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

eval92.0ms (2.4%)

Compiler: Compiled 4719 to 3412 computations (27.7% saved)

prune710.0ms (18.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	197	7	204
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	205	10	215

Error

0.0b

Counts

215 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
	0.2b	(+.f64 1 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))
▶	0.2b	(-.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (.f64 x 9))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x))))
	20.9b	(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -3)) (sqrt.f64 x)) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) (.f64 y 1/3))) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (sqrt.f64 x)))
	0.5b	(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
	0.3b	(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
	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 (sqrt.f64 (.f64 x 9))))

Compiler

Compiled 410 to 336 computations (18% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (.f64 x 9))))
	0.1b	(sqrt.f64 (*.f64 x 9))
	0.2b	(/.f64 y (sqrt.f64 (*.f64 x 9)))
✓	0.4b	(*.f64 1/9 (/.f64 1 x))

series3.0ms (0.1%)

Counts

2 → 26

Calls

9 calls:

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

rewrite60.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`
215×	`fma-neg_binary64`
143×	`add-sqr-sqrt_binary64`
137×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	297	22
2	4001	22

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 1/81))))) (#(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 (/.f64 1/729 (pow.f64 x 3)))))) (#(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 exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -1/9 x) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) (fma.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) (+.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) (*.f64 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 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 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 3 (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 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 3 (sqrt.f64 x)))))) 2) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 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 3 (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (*.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 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 y) (*.f64 x 9))) (/.f64 1 (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (*.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (/.f64 (*.f64 y y) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (*.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 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 y) (*.f64 x 9))) (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (*.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))) (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (/.f64 (*.f64 y y) (*.f64 x 9)))) (neg.f64 (+.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 (*.f64 3 (sqrt.f64 x)) y)) (*.f64 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)))) 1)) (*.f64 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)))) (/.f64 (*.f64 3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x -2) 1/81)) (/.f64 (*.f64 3 (sqrt.f64 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) 1)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)))) y)) (*.f64 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)))) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x -2) 1/81)) (*.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 (/.f64 1/729 (pow.f64 x 3))) (*.f64 (sqrt.f64 x) -3)) (*.f64 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)))) (neg.f64 y))) (*.f64 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)))) (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x -2) 1/81)) (*.f64 (sqrt.f64 x) -3)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (neg.f64 y))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))) (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 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 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (-.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))) (*.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))) (+.f64 (/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (*.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))) (-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 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 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 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 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 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 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 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 3 (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1/9 x)) 1 (/.f64 (neg.f64 y) (*.f64 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 (neg.f64 y) (*.f64 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 (neg.f64 y) (*.f64 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 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (*.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x))))) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 x -2) 1/81)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (/.f64 (neg.f64 y) (*.f64 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 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 3 (sqrt.f64 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 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 3 (sqrt.f64 x)))))))))))

simplify34.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
292×	`fma-def_binary64`
121×	`cancel-sign-sub-inv_binary64`
47×	`distribute-rgt-in_binary64`
46×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	273
1	35	255
2	66	255
3	114	255
4	164	255
5	239	255
6	401	255
7	680	255
8	1041	255
9	1292	255
10	1457	255
11	1469	255

Stop Event

1×

saturated

Counts

100 → 82

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

eval70.0ms (1.8%)

Compiler: Compiled 2918 to 2145 computations (26.5% saved)

prune375.0ms (9.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	149	7	156

Error

0.0b

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(+.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (.f64 3 (sqrt.f64 x)))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x))))
▶	0.2b	(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
	0.3b	(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
	16.1b	(-.f64 (-.f64 1 (sqrt.f64 (.f64 (pow.f64 x -2) 1/81))) (/.f64 y (sqrt.f64 (.f64 x 9))))
	0.3b	(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
	0.5b	(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (sqrt.f64 (*.f64 x 9))))

Compiler

Compiled 266 to 210 computations (21.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 x 1/9) 1/2)
✓	0.2b	(/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))
✓	0.3b	(/.f64 x 1/9)
	0.4b	(*.f64 1/9 (/.f64 1 x))

series7.0ms (0.2%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))
1.0ms	x	@	0	(/.f64 x 1/9)
1.0ms	x	@	-inf	(/.f64 x 1/9)
0.0ms	x	@	inf	(/.f64 x 1/9)
0.0ms	x	@	inf	(pow.f64 (/.f64 x 1/9) 1/2)

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	181	19
2	2149	19

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(/.f64 x 1/9)
(/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))
(pow.f64 (/.f64 x 1/9) 1/2)

Outputs

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

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	18	192
2	25	192
3	27	192

Stop Event

1×

saturated

Counts

110 → 88

Calls

Call 1

Inputs
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 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))))

Outputs
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(.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))

eval44.0ms (1.1%)

Compiler: Compiled 1995 to 1551 computations (22.3% saved)

prune273.0ms (7.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	110	6	116

Error

0.0b

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(+.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (.f64 3 (sqrt.f64 x)))))
	0.2b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x))))
	16.1b	(-.f64 (-.f64 1 (sqrt.f64 (*.f64 (pow.f64 x -2) 1/81))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
	0.5b	(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
	0.3b	(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
	0.2b	(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))

Compiler

Compiled 120 to 95 computations (20.8% saved)

regimes66.0ms (1.7%)

Accuracy

Total -21.0b remaining (-11222.2%)

Threshold costs -21.0b (-11222.2%)

Counts

27 → 1

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (sqrt.f64 (*.f64 (pow.f64 x -2) 1/81))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(+.f64 (+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (.f64 3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 (.f64 (pow.f64 x -2) 1/81))) (/.f64 y (sqrt.f64 (.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))
(-.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (.f64 x 9))))
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.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 (sqrt.f64 (.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x))))))
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (sqrt.f64 (.f64 x 9))))
(-.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))))
(-.f64 (-.f64 1 (.f64 1/9 (/.f64 1 x))) (/.f64 y (.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 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 1/3) (/.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x 9) -3)) (sqrt.f64 x)) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (.f64 x 9) -2))) (.f64 y 1/3))) (.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (sqrt.f64 x)))
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))

Results

Time	Error	Segments	Branch
13.0ms	0.2b	1	`x`
25.0ms	0.2b	1	`y`
14.0ms	0.2b	1	`(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))`

Compiler

Compiled 488 to 368 computations (24.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	24	22
2	38	22
3	48	22
4	54	22
5	56	22

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))

Outputs
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (+.f64 1 (*.f64 -1/9 (/.f64 1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (+.f64 1 (*.f64 (/.f64 1 x) -1/9)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))
(-.f64 (+.f64 1 (*.f64 1/9 (/.f64 -1 x))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2)))

end21.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 34 to 28 computations (17.6% saved)

Details

analyze102.0ms (2.7%)

sample1.1s (28.9%)

preprocess48.0ms (1.2%)

simplify26.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

series13.0ms (0.3%)

rewrite76.0ms (2%)

simplify42.0ms (1.1%)

eval62.0ms (1.6%)

prune377.0ms (9.8%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite75.0ms (1.9%)

simplify40.0ms (1.1%)

eval92.0ms (2.4%)

prune710.0ms (18.5%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite60.0ms (1.6%)

simplify34.0ms (0.9%)

eval70.0ms (1.8%)

prune375.0ms (9.8%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite46.0ms (1.2%)

simplify13.0ms (0.3%)

eval44.0ms (1.1%)

prune273.0ms (7.1%)

regimes66.0ms (1.7%)

simplify3.0ms (0.1%)

end21.0ms (0.5%)

Profiling