Details

analyze114.0ms (4%)

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 (40.1%)

Results

1.1s	8256×	body	128	valid
29.0ms	212×	body	128	invalid

preprocess57.0ms (2%)

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)

simplify38.0ms (1.3%)

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
	0.4b	(*.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)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.6%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	y	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	0	(*.f64 3 (sqrt.f64 x))
1.0ms	y	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

rewrite59.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	283	35
2	3737	35

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-def_binary64`
586×	`fma-neg_binary64`
255×	`distribute-rgt-neg-in_binary64`
203×	`distribute-rgt-in_binary64`
183×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	426
1	38	381
2	84	360
3	198	360
4	398	360
5	798	360
6	1152	360
7	1890	360
8	3343	360
9	4412	360
10	4852	360

Stop Event

1×	node limit

Counts

150 → 112

Calls

Call 1

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

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

prune164.0ms (5.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Error

Counts

114 → 9

Alt Table

Status	Error	Program
	22.6b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1 (/.f64 (-.f64 y (/.f64 1/9 x)) (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)))) 1))
	0.4b	(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
	0.4b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.4b	(+.f64 (.f64 (+.f64 y (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))) (.f64 -1 (.f64 3 (sqrt.f64 x))))
	22.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)) (-.f64 y (/.f64 1/9 x))) 1))
▶	0.3b	(.f64 (pow.f64 (.f64 x 9) 1/2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	20.7b	(.f64 (cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1))

Compiler

Compiled 2283 to 1664 computations (27.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
✓	0.1b	(pow.f64 (*.f64 x 9) 1/2)
	0.2b	(/.f64 1 (*.f64 x 9))
✓	0.3b	(.f64 (pow.f64 (.f64 x 9) 1/2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

series4.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

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

rewrite51.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
216×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`
127×	`pow1_binary64`
126×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	273	24
2	3564	24

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
586×	`fma-neg_binary64`
255×	`distribute-rgt-neg-in_binary64`
203×	`distribute-rgt-in_binary64`
181×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	240
1	36	195
2	80	174
3	192	174
4	402	174
5	803	174
6	1157	174
7	1895	174
8	3349	174
9	4421	174
10	4853	174

Stop Event

1×	node limit

Counts

55 → 49

Calls

Call 1

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

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

prune149.0ms (5.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	117	9	126

Error

Counts

126 → 9

Alt Table

Status	Error	Program
	22.6b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1 (/.f64 (-.f64 y (/.f64 1/9 x)) (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)))) 1))
	0.4b	(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
	0.4b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	0.4b	(+.f64 (.f64 (+.f64 y (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))) (.f64 -1 (.f64 3 (sqrt.f64 x))))
	22.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)) (-.f64 y (/.f64 1/9 x))) 1))
✓	0.3b	(.f64 (pow.f64 (.f64 x 9) 1/2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	20.7b	(.f64 (cbrt.f64 (pow.f64 (.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1))

Compiler

Compiled 2433 to 1865 computations (23.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.3%)

Counts

3 → 24

Calls

15 calls:

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

rewrite75.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

317×	`fma-neg_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`
144×	`add-sqr-sqrt_binary64`
137×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	292	37
2	4127	35

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

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

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

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

35×	`fma-def_binary64`
8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
3×	`associate-+l+_binary64`
3×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	438
1	37	429
2	61	393
3	87	393
4	88	393

Stop Event

1×

saturated

Counts

138 → 124

Calls

Call 1

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

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

prune200.0ms (6.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	155	8	163

Error

Counts

163 → 8

Alt Table

Status	Error	Program
	18.8b	(fma.f64 (.f64 (.f64 (+.f64 (/.f64 1/9 x) y) 3) (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 3 (sqrt.f64 x)))
✓	0.4b	(+.f64 (.f64 (+.f64 y (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))) (.f64 -1 (.f64 3 (sqrt.f64 x))))
	18.6b	(fma.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) y)) (.f64 3 (sqrt.f64 x)))
✓	0.3b	(.f64 (pow.f64 (.f64 x 9) 1/2) (-.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)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	22.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)) (-.f64 y (/.f64 1/9 x))) 1))
	0.4b	(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))

Compiler

Compiled 3363 to 2306 computations (31.4% saved)

localize8.0ms (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)
✓	0.4b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))

series8.0ms (0.3%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	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	@	0	(*.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)))

rewrite65.0ms (2.3%)

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 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 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 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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.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 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 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 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 expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))))))))

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
773×	`fma-def_binary64`
178×	`unsub-neg_binary64`
171×	`distribute-rgt-in_binary64`
122×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	500
1	44	455
2	76	455
3	126	455
4	211	455
5	280	455
6	482	455
7	912	455
8	1699	455
9	2863	455
10	3378	455
11	3618	455
12	3905	455
13	3921	455
14	3921	455

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

prune146.0ms (5.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	123	8	131

Error

Counts

131 → 8

Alt Table

Status	Error	Program
	18.8b	(fma.f64 (.f64 (.f64 (+.f64 (/.f64 1/9 x) y) 3) (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 3 (sqrt.f64 x)))
✓	0.4b	(+.f64 (.f64 (+.f64 y (/.f64 1/9 x)) (.f64 3 (sqrt.f64 x))) (.f64 -1 (.f64 3 (sqrt.f64 x))))
	18.6b	(fma.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) y)) (.f64 3 (sqrt.f64 x)))
✓	0.3b	(.f64 (pow.f64 (.f64 x 9) 1/2) (-.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)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	0.4b	(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
	0.7b	(.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (.f64 (cbrt.f64 (fma.f64 3 y -3)) (pow.f64 (cbrt.f64 (fma.f64 3 y -3)) 2))))

Compiler

Compiled 2214 to 1550 computations (30% saved)

regimes171.0ms (5.9%)

Accuracy

Total -18.7b remaining (-5317.9%)

Threshold costs -18.7b (-5317.9%)

Counts

82 → 1

Compiler

Compiled 1196 to 836 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	19	21
2	20	21

Stop Event

1×

saturated

Calls

Call 1

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

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

end109.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 164 to 119 computations (27.4% saved)

Details

analyze114.0ms (4%)

sample1.2s (40.1%)

preprocess57.0ms (2%)

simplify38.0ms (1.3%)

prune4.0ms (0.1%)

localize9.0ms (0.3%)

series18.0ms (0.6%)

rewrite59.0ms (2.1%)

simplify61.0ms (2.1%)

prune164.0ms (5.7%)

localize11.0ms (0.4%)

series4.0ms (0.1%)

rewrite51.0ms (1.8%)

simplify66.0ms (2.3%)

prune149.0ms (5.2%)

localize8.0ms (0.3%)

series9.0ms (0.3%)

rewrite75.0ms (2.6%)

simplify40.0ms (1.4%)

prune200.0ms (6.9%)

localize8.0ms (0.3%)

series8.0ms (0.3%)

rewrite65.0ms (2.3%)

simplify81.0ms (2.8%)

prune146.0ms (5.1%)

regimes171.0ms (5.9%)

simplify2.0ms (0.1%)

end109.0ms (3.8%)

Profiling