Details

analyze144.0ms (5.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
18.7%	43.7%	37.6%	6
28.1%	34.3%	37.6%	7
32.8%	23.4%	43.8%	8
36.7%	18%	45.4%	9
39.4%	12.1%	48.5%	10
41.6%	9.2%	49.3%	11
43%	6.1%	50.8%	12
44.1%	4.6%	51.2%	13
44.9%	3.1%	52%	14

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (41.9%)

Results

1.1s	8256×	body	128	valid
30.0ms	201×	body	128	invalid

preprocess48.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

880×	`fma-neg_binary64`
408×	`fma-def_binary64`
282×	`cancel-sign-sub-inv_binary64`
184×	`distribute-rgt-in_binary64`
184×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	126	36
3	379	32
4	783	32
5	1155	32
6	2294	32
7	4649	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 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) 1))

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-def_binary64`
453×	`fma-neg_binary64`
318×	`cancel-sign-sub-inv_binary64`
251×	`distribute-rgt-neg-in_binary64`
168×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	28	18
2	69	18
3	194	16
4	402	16
5	586	16
6	1164	16
7	2527	16
8	4281	16
9	4905	16

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.4b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.5%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 3 (sqrt.f64 x))
2.0ms	y	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	-inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

rewrite94.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
226×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`
134×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	283	35
2	3735	35

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
590×	`fma-neg_binary64`
255×	`distribute-rgt-neg-in_binary64`
202×	`distribute-rgt-in_binary64`
182×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	426
1	38	381
2	84	360
3	198	360
4	398	360
5	796	360
6	1150	360
7	1886	360
8	3336	360
9	4414	360
10	4855	360

Stop Event

1×	node limit

Counts

150 → 112

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

eval52.0ms (1.9%)

Compiler: Compiled 1935 to 1389 computations (28.2% saved)

prune173.0ms (6.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	102	10	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Error

0.0b

Counts

114 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	26.3b	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) -1) (.f64 3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))
	19.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.7b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.5b	(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
	0.4b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	23.1b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 9) -2) (.f64 y y)) (-.f64 (/.f64 1/9 x) y)) 1))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) -1) (pow.f64 (*.f64 3 (sqrt.f64 x)) -1))) 1))
	0.4b	(pow.f64 (.f64 (sqrt.f64 x) (.f64 3 (+.f64 (/.f64 1/9 x) (-.f64 y 1)))) 1)
	0.5b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	0.4b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))

Compiler

Compiled 428 to 338 computations (21% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1))
✓	0.3b	(.f64 (.f64 3 (sqrt.f64 x)) y)
	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.4b	(/.f64 1/9 x)

series13.0ms (0.5%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 1/9 x)
2.0ms	x	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1))
1.0ms	x	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1))
1.0ms	y	@	0	(.f64 (.f64 3 (sqrt.f64 x)) y)
1.0ms	x	@	-inf	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1))

rewrite63.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

396×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
184×	`fma-def_binary64`
130×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	263	28
2	3362	28

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

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

Outputs

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

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

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	108
1	11	108
2	18	108
3	20	108

Stop Event

1×

saturated

Counts

108 → 98

Calls

Call 1

Inputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))

Outputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))

eval52.0ms (1.8%)

Compiler: Compiled 2811 to 1878 computations (33.2% saved)

prune258.0ms (9.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	129	10	139

Error

0.0b

Counts

139 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (*.f64 x 9) -1) -1)))
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) y) (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))
	0.4b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (sqrt.f64 (/.f64 1/9 x)) (.f64 (sqrt.f64 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) -3)))
	10.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3)) y) (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))
	0.4b	(+.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))
	0.7b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (.f64 (.f64 3 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (cbrt.f64 (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) -3)))
	0.5b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	0.4b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 -3 (sqrt.f64 x) (.f64 (/.f64 1/9 x) (.f64 3 (sqrt.f64 x)))))
	0.5b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (.f64 -1 (sqrt.f64 (.f64 3 (sqrt.f64 x)))) (sqrt.f64 (.f64 3 (sqrt.f64 x))) (.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) -1) (pow.f64 (*.f64 3 (sqrt.f64 x)) -1))) 1))

Compiler

Compiled 462 to 340 computations (26.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite37.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
733×	`log1p-expm1-u_binary64`
733×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`
78×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	173	9
2	2052	9

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

eval38.0ms (1.3%)

Compiler: Compiled 2010 to 1240 computations (38.3% saved)

prune170.0ms (6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Error

0.0b

Counts

104 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	10.4b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3)) y) (fma.f64 -3 (sqrt.f64 x) (.f64 (/.f64 1/9 x) (.f64 3 (sqrt.f64 x)))))
	0.4b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 -3 (sqrt.f64 x) (/.f64 1 (/.f64 x (*.f64 1/3 (sqrt.f64 x))))))
	0.4b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (sqrt.f64 (/.f64 1/9 x)) (.f64 (sqrt.f64 (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) -3)))
	0.6b	(+.f64 (.f64 (sqrt.f64 (.f64 x 9)) y) (fma.f64 -3 (sqrt.f64 x) (.f64 (/.f64 1/9 x) (.f64 3 (sqrt.f64 x)))))
	0.7b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (.f64 (.f64 3 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (cbrt.f64 (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) -3)))
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) y) (fma.f64 -3 (sqrt.f64 x) (.f64 (/.f64 1/9 x) (.f64 3 (sqrt.f64 x)))))
	0.4b	(+.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) (fma.f64 -3 (sqrt.f64 x) (.f64 (/.f64 1/9 x) (.f64 3 (sqrt.f64 x)))))
	0.5b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.5b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (.f64 -1 (sqrt.f64 (.f64 3 (sqrt.f64 x)))) (sqrt.f64 (.f64 3 (sqrt.f64 x))) (.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))))
▶	0.3b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 -3 (sqrt.f64 x) (/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))

Compiler

Compiled 472 to 328 computations (30.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.3b	(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.4b	(/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
✓	0.4b	(*.f64 1/3 (sqrt.f64 x))

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite50.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
75×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	153	13
2	2188	13

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 x))
(/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x . 1/3)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 1/3) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 x))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 1/3 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 1/9)) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (pow.f64 x 1/4)) (/.f64 (pow.f64 x -1/2) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (sqrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (cbrt.f64 x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 1/9)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) 1) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/9) 1) (/.f64 (cbrt.f64 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/9) (cbrt.f64 x)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) (cbrt.f64 x)) (/.f64 (sqrt.f64 1/3) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/9) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 1/3) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x))))))))

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

75 → 63

Calls

Call 1

Inputs
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3

Outputs
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3

eval31.0ms (1.1%)

Compiler: Compiled 1680 to 972 computations (42.1% saved)

prune126.0ms (4.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	81	7	88

Error

0.0b

Counts

88 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(+.f64 (.f64 (sqrt.f64 (.f64 x 9)) y) (fma.f64 -3 (sqrt.f64 x) (/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))
	0.4b	(+.f64 (.f64 (sqrt.f64 x) (.f64 3 y)) (fma.f64 -3 (sqrt.f64 x) (.f64 (/.f64 1/9 x) (.f64 3 (sqrt.f64 x)))))
	0.3b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 -3 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 3) -1)))
	10.4b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3)) y) (fma.f64 -3 (sqrt.f64 x) (/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))
	0.5b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.5b	(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 (.f64 -1 (sqrt.f64 (.f64 3 (sqrt.f64 x)))) (sqrt.f64 (.f64 3 (sqrt.f64 x))) (.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))))
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) y) (fma.f64 -3 (sqrt.f64 x) (/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))

Compiler

Compiled 161 to 107 computations (33.5% saved)

regimes80.0ms (2.8%)

Accuracy

Total -33.3b remaining (-10444%)

Threshold costs -33.3b (-10444%)

Counts

30 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
32.0ms	0.3b	1	`x`
16.0ms	0.3b	1	`y`
16.0ms	0.3b	1	`(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))`

Compiler

Compiled 613 to 401 computations (34.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	16	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (fma.f64 -3 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 3) -1)))

Outputs

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

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

end20.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 38 to 26 computations (31.6% saved)

Details

analyze144.0ms (5.1%)

sample1.2s (41.9%)

preprocess48.0ms (1.7%)

simplify39.0ms (1.4%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series13.0ms (0.5%)

rewrite94.0ms (3.3%)

simplify61.0ms (2.2%)

eval52.0ms (1.9%)

prune173.0ms (6.1%)

localize9.0ms (0.3%)

series13.0ms (0.5%)

rewrite63.0ms (2.2%)

simplify11.0ms (0.4%)

eval52.0ms (1.8%)

prune258.0ms (9.1%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite37.0ms (1.3%)

simplify7.0ms (0.2%)

eval38.0ms (1.3%)

prune170.0ms (6%)

localize10.0ms (0.4%)

series4.0ms (0.1%)

rewrite50.0ms (1.8%)

simplify10.0ms (0.4%)

eval31.0ms (1.1%)

prune126.0ms (4.5%)

regimes80.0ms (2.8%)

simplify2.0ms (0.1%)

end20.0ms (0.7%)

Profiling