Details

analyze129.0ms (4.6%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (41.9%)

Results

1.1s	8256×	body	128	valid
21.0ms	207×	body	128	invalid

Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess100.0ms (3.6%)

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)

simplify41.0ms (1.5%)

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)))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

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))
✓	0.1b	(fma.f64 3 y -3)
✓	0.3b	(/.f64 1/3 x)
✓	0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))

series11.0ms (0.4%)

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	y	@	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)))

rewrite59.0ms (2.1%)

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

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

simplify103.0ms (3.7%)

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))

prune142.0ms (5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Error

0.0b

Counts

125 → 9

Alt Table

Status	Error	Program
	25.4b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))) 2)
▶	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
✓	0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	12.0b	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (/.f64 (sqrt.f64 x) (.f64 x 3))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))) (-.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3))))
	25.4b	(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))) 2))
	39.2b	(/.f64 (.f64 (+.f64 (/.f64 1/27 (pow.f64 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)))))
	18.2b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (fma.f64 3 y -3) 3))))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.8b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (fma.f64 3 y -3)) 3)))

Compiler

Compiled 2452 to 1725 computations (29.6% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.4%)

Counts

4 → 0

Calls

18 calls:

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

rewrite52.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
194×	`pow3_binary64`
185×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	261	27
2	2903	27

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

67 → 67

Calls

Call 1

Inputs

Outputs

prune87.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	67	9	76

Error

0.0b

Counts

76 → 9

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	12.0b	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (/.f64 (sqrt.f64 x) (.f64 x 3))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))) (-.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3))))
	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (.f64 x 9)))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	25.4b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))) 2)
▶	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))) (*.f64 3 (sqrt.f64 x)))
	39.2b	(/.f64 (.f64 (+.f64 (/.f64 1/27 (pow.f64 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)))))
	30.2b	(-.f64 (+.f64 (.f64 3 (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) 2)) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	0.3b	(-.f64 (+.f64 (+.f64 0 (.f64 y (sqrt.f64 (.f64 x 9)))) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))

Compiler

Compiled 1845 to 1253 computations (32.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 1/3 (sqrt.f64 x))
0.0ms	x	@	0	(/.f64 1/3 (sqrt.f64 x))
0.0ms	x	@	inf	(/.f64 1/3 (sqrt.f64 x))

rewrite35.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`pow1_binary64`
445×	`add-log-exp_binary64`
445×	`log1p-expm1-u_binary64`
445×	`expm1-log1p-u_binary64`
435×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	107	6
2	1243	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

prune225.0ms (8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	71	8	79

Error

0.0b

Counts

79 → 8

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))) (sqrt.f64 (*.f64 x 9)))
	12.0b	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (/.f64 (sqrt.f64 x) (.f64 x 3))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))) (-.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3))))
	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 (sqrt.f64 x) 3) -1)) (.f64 3 (sqrt.f64 x)))
	39.2b	(/.f64 (.f64 (+.f64 (/.f64 1/27 (pow.f64 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)))))
▶	0.3b	(-.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 x 9))) 1) (/.f64 1/3 (sqrt.f64 x))) (*.f64 3 (sqrt.f64 x)))
	30.2b	(-.f64 (+.f64 (.f64 3 (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) 2)) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

Compiler

Compiled 1746 to 1086 computations (37.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

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

rewrite39.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
66×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	141	15
2	1584	15

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

51 → 41

Calls

Call 1

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

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

prune118.0ms (4.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Error

0.0b

Counts

85 → 9

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))) (sqrt.f64 (*.f64 x 9)))
	12.0b	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (/.f64 (sqrt.f64 x) (.f64 x 3))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 3 y -3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3)))) (-.f64 (/.f64 (sqrt.f64 x) (.f64 x 3)) (.f64 (sqrt.f64 x) (fma.f64 3 y -3))))
	0.3b	(-.f64 (+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 (sqrt.f64 x) 3) -1)) (.f64 3 (sqrt.f64 x)))
	39.2b	(/.f64 (.f64 (+.f64 (/.f64 1/27 (pow.f64 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)))))
✓	0.3b	(-.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 x 9))) 1) (/.f64 1/3 (sqrt.f64 x))) (*.f64 3 (sqrt.f64 x)))
	30.2b	(-.f64 (+.f64 (.f64 3 (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) 2)) (.f64 1/3 (sqrt.f64 (/.f64 1 x)))) (.f64 3 (sqrt.f64 x)))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.4b	(-.f64 (+.f64 (pow.f64 (.f64 y (pow.f64 (pow.f64 (.f64 x 9) 1/4) 2)) 1) (/.f64 1/3 (sqrt.f64 x))) (*.f64 3 (sqrt.f64 x)))

Compiler

Compiled 1839 to 1287 computations (30% saved)

regimes243.0ms (8.6%)

Accuracy

Total 0.3b remaining (91.3%)

Threshold costs 0.3b (91.3%)

Counts

85 → 1

Compiler

Compiled 1483 to 991 computations (33.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	25
1	30	25
2	39	25
3	43	25
4	46	25
5	47	25

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end168.0ms (6%)

Stop Event

1×

fuel

Compiler

Compiled 252 to 187 computations (25.8% saved)

Details

analyze129.0ms (4.6%)

sample1.2s (41.9%)

preprocess100.0ms (3.6%)

simplify41.0ms (1.5%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

series11.0ms (0.4%)

rewrite59.0ms (2.1%)

simplify103.0ms (3.7%)

prune142.0ms (5%)

localize14.0ms (0.5%)

series10.0ms (0.4%)

rewrite52.0ms (1.9%)

simplify6.0ms (0.2%)

prune87.0ms (3.1%)

localize8.0ms (0.3%)

series4.0ms (0.1%)

rewrite35.0ms (1.2%)

simplify6.0ms (0.2%)

prune225.0ms (8%)

localize10.0ms (0.4%)

series3.0ms (0.1%)

rewrite39.0ms (1.4%)

simplify8.0ms (0.3%)

prune118.0ms (4.2%)

regimes243.0ms (8.6%)

simplify3.0ms (0.1%)

end168.0ms (6%)

Profiling