Details

analyze136.0ms (5.5%)

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)

sample1.0s (40.3%)

Results

965.0ms	8256×	body	128	valid
22.0ms	202×	body	128	invalid

Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess39.0ms (1.6%)

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 (1.6%)

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)))

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

0.3b

Counts

3 → 2

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 85 to 66 computations (22.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
✓	0.0b	(fma.f64 3 y -3)
✓	0.4b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
✓	0.5b	(/.f64 1/3 x)

series12.0ms (0.5%)

Counts

4 → 48

Calls

18 calls:

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

rewrite66.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`prod-diff_binary64`
123×	`add-sqr-sqrt_binary64`
115×	`*-un-lft-identity_binary64`
115×	`add-exp-log_binary64`
115×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	244	36
2	3192	36

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
746×	`fma-def_binary64`
197×	`cancel-sign-sub-inv_binary64`
133×	`distribute-rgt-in_binary64`
104×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	545
1	58	482
2	111	482
3	180	482
4	335	482
5	545	482
6	1124	482
7	2086	482
8	2937	482
9	3230	482
10	3499	482
11	3503	482
12	3503	482

Stop Event

1×

saturated

Counts

155 → 123

Calls

Call 1

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

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

prune119.0ms (4.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	12	123
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	112	13	125

Error

0.0b

Counts

125 → 13

Alt Table

Status	Error	Program
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))) 3)
▶	0.4b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	27.8b	(/.f64 (.f64 (-.f64 (/.f64 1/9 (.f64 x x)) (pow.f64 (fma.f64 3 y -3) 2)) (sqrt.f64 x)) (-.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.4b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	21.2b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (fma.f64 3 y -3) 3))))
	0.4b	(+.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (/.f64 1/3 x) (sqrt.f64 x)))
	46.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (sqrt.f64 (fma.f64 3 y -3)) 2)))
	0.4b	(.f64 (sqrt.f64 x) (+.f64 (pow.f64 (.f64 x 3) -1) (fma.f64 3 y -3)))
	0.4b	(*.f64 (sqrt.f64 x) (fma.f64 1/3 (/.f64 1 x) (fma.f64 3 y -3)))
	33.6b	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))) 3))
	0.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (fma.f64 3 y -3)) 3)))
	0.7b	(.f64 (sqrt.f64 x) (+.f64 (.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (fma.f64 3 y -3)))

Compiler

Compiled 2519 to 1797 computations (28.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 3 y -3)
✓	0.1b	(sqrt.f64 (/.f64 1 x))
✓	0.2b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
✓	0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

series8.0ms (0.3%)

Counts

3 → 12

Calls

12 calls:

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

rewrite50.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
206×	`expm1-udef_binary64`
206×	`log1p-udef_binary64`
190×	`pow3_binary64`
178×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	261	26
2	2817	26

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(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 (sqrt.f64 x))))) (#(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 (/.f64 1 x) 1/9))))) (#(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 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 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 +.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 1) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 3) (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 3)) (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (-.f64 (.f64 (/.f64 1 x) 1/9) (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (.f64 (/.f64 1 x) 1/9)) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))) (exp.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))) (exp.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) (cbrt.f64 (exp.f64 (pow.f64 x -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -1/2 (log.f64 x)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(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 (sqrt.f64 x))))) (#(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 (/.f64 1 x) 1/9))))) (#(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 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 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 +.f64 (/.f64 1/3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 1) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 3) (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 3)) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (-.f64 (*.f64 (/.f64 1 x) 1/9) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (*.f64 (/.f64 1 x) 1/9)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))) (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))) (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 1))))))

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

simplify36.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
467×	`fma-neg_binary64`
156×	`cancel-sign-sub-inv_binary64`
73×	`distribute-rgt-neg-in_binary64`
51×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	269
1	42	222
2	81	204
3	133	204
4	234	204
5	396	204
6	756	204
7	1350	204
8	1886	204
9	2110	204
10	2117	204

Stop Event

1×

saturated

Counts

93 → 88

Calls

Call 1

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

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

prune121.0ms (4.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	117	11	128

Error

0.0b

Counts

128 → 11

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	27.8b	(/.f64 (.f64 (-.f64 (/.f64 1/9 (.f64 x x)) (pow.f64 (fma.f64 3 y -3) 2)) (sqrt.f64 x)) (-.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.4b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	21.2b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (fma.f64 3 y -3) 3))))
	0.4b	(+.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (/.f64 1/3 x) (sqrt.f64 x)))
	46.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (sqrt.f64 (fma.f64 3 y -3)) 2)))
	0.4b	(.f64 (sqrt.f64 x) (+.f64 (pow.f64 (.f64 x 3) -1) (fma.f64 3 y -3)))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))) 3)
	0.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (fma.f64 3 y -3)) 3)))
▶	0.3b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
	0.3b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))

Compiler

Compiled 2257 to 1583 computations (29.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 3 y -3)
✓	0.1b	(sqrt.f64 (*.f64 (/.f64 1 x) 1/9))
✓	0.2b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
✓	0.3b	(*.f64 (/.f64 1 x) 1/9)

series6.0ms (0.2%)

Counts

3 → 24

Calls

12 calls:

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

rewrite53.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
175×	`log-pow_binary64`
163×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	263	26
2	2835	26

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) (cbrt.f64 (exp.f64 (/.f64 1/9 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(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 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (neg.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 /.f64 (/.f64 1/9 (cbrt.f64 (*.f64 x x))) (cbrt.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 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 x -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 1/9 x) 3))))) (#(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 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 +.f64 (/.f64 1/3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 1) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 3) (pow.f64 (/.f64 1/9 x) 3/2)) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (-.f64 (/.f64 1/9 x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (/.f64 1/9 x)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))) (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))) (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(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 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(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 1/3 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 x -2))) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(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 1/9 x) 3/2) 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 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 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 1/9 x) 3/2))))) (#(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 exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) 1))))))

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
463×	`fma-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
73×	`distribute-rgt-neg-in_binary64`
50×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	317
1	44	270
2	83	252
3	135	252
4	236	252
5	397	252
6	754	252
7	1348	252
8	1884	252
9	2108	252
10	2115	252

Stop Event

1×

saturated

Counts

106 → 89

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

prune101.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	117	10	127

Error

0.0b

Counts

127 → 10

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	27.8b	(/.f64 (.f64 (-.f64 (/.f64 1/9 (.f64 x x)) (pow.f64 (fma.f64 3 y -3) 2)) (sqrt.f64 x)) (-.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.4b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
▶	0.3b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (/.f64 1/9 x)))
	21.2b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (fma.f64 3 y -3) 3))))
	46.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (sqrt.f64 (fma.f64 3 y -3)) 2)))
	0.4b	(.f64 (sqrt.f64 x) (+.f64 (pow.f64 (.f64 x 3) -1) (fma.f64 3 y -3)))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))) 3)
	0.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (fma.f64 3 y -3)) 3)))
✓	0.3b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))

Compiler

Compiled 2184 to 1529 computations (30% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 3 y -3)
✓	0.1b	(sqrt.f64 (/.f64 1/9 x))
✓	0.2b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (/.f64 1/9 x)))
✓	0.3b	(/.f64 1/9 x)

series5.0ms (0.2%)

Counts

3 → 12

Calls

12 calls:

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

rewrite45.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`log-prod_binary64`
266×	`pow2_binary64`
186×	`expm1-udef_binary64`
186×	`log1p-udef_binary64`
184×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	230	26
2	2568	26

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(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 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(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 (cbrt.f64 (/.f64 1/9 x)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))))))) (#(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 (pow.f64 (/.f64 1/9 x) 1/4) (*.f64 (pow.f64 (/.f64 1/9 x) 1/4) (/.f64 1/3 (sqrt.f64 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 *.f64 (pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 3) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (cbrt.f64 (/.f64 1/9 x))) (cbrt.f64 (/.f64 1/3 (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 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3) 1/3)))) (#(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 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9) 1) -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 (pow.f64 (/.f64 1/9 x) 3))))) (#(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 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 +.f64 (/.f64 1/3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 1) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 3) (/.f64 1/27 (pow.f64 x 3/2))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 2) (-.f64 (/.f64 1/9 x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) 2) (/.f64 1/9 x)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))) (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))) (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 x) (fma.f64 3 y -3))) (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (/.f64 1/3 (sqrt.f64 x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(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 (/.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 (/.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 1/3 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(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 (/.f64 1/27 (pow.f64 x 3/2)) 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 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 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 (/.f64 1/27 (pow.f64 x 3/2)))))) (#(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 exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) 1))))))

simplify35.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
467×	`fma-neg_binary64`
156×	`cancel-sign-sub-inv_binary64`
73×	`distribute-rgt-neg-in_binary64`
51×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	269
1	42	222
2	81	204
3	133	204
4	234	204
5	396	204
6	756	204
7	1350	204
8	1886	204
9	2110	204
10	2117	204

Stop Event

1×

saturated

Counts

110 → 105

Calls

Call 1

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

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

prune111.0ms (4.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	133	9	142

Error

0.0b

Counts

142 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	27.8b	(/.f64 (.f64 (-.f64 (/.f64 1/9 (.f64 x x)) (pow.f64 (fma.f64 3 y -3) 2)) (sqrt.f64 x)) (-.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.4b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	21.1b	(fma.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 y -3) 3)) (sqrt.f64 (/.f64 1/9 x)))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))) 3)
	46.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (sqrt.f64 (fma.f64 3 y -3)) 2)))
	0.9b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (fma.f64 3 y -3)) 3)))
✓	0.3b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
	0.3b	(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (sqrt.f64 (pow.f64 (*.f64 x 9) -1)))

Compiler

Compiled 2201 to 1508 computations (31.5% saved)

regimes216.0ms (8.7%)

Accuracy

Total 0.3b remaining (89.4%)

Threshold costs 0.3b (89.4%)

Counts

120 → 1

Compiler

Compiled 1637 to 1107 computations (32.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
2	16	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end136.0ms (5.5%)

Stop Event

1×

fuel

Compiler

Compiled 184 to 146 computations (20.7% saved)

Details

analyze136.0ms (5.5%)

sample1.0s (40.3%)

preprocess39.0ms (1.6%)

simplify39.0ms (1.6%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series12.0ms (0.5%)

rewrite66.0ms (2.7%)

simplify74.0ms (3%)

prune119.0ms (4.8%)

localize11.0ms (0.4%)

series8.0ms (0.3%)

rewrite50.0ms (2%)

simplify36.0ms (1.5%)

prune121.0ms (4.9%)

localize8.0ms (0.3%)

series6.0ms (0.2%)

rewrite53.0ms (2.1%)

simplify38.0ms (1.5%)

prune101.0ms (4.1%)

localize7.0ms (0.3%)

series5.0ms (0.2%)

rewrite45.0ms (1.8%)

simplify35.0ms (1.4%)

prune111.0ms (4.5%)

regimes216.0ms (8.7%)

simplify2.0ms (0.1%)

end136.0ms (5.5%)

Profiling