Details

analyze107.0ms (3.2%)

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
12.5%	62.4%	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%	18.3%	45%	9
39.4%	12.3%	48.3%	10
41.6%	9.5%	49%	11
43%	6.3%	50.7%	12
44.1%	4.8%	51%	13
44.9%	3.2%	51.9%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample941.0ms (28.4%)

Results

903.0ms	8254×	body	128	valid
25.0ms	219×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

preprocess37.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

262×	`fma-neg_binary64`
254×	`fma-def_binary64`
74×	`cancel-sign-sub-inv_binary64`
60×	`sub-neg_binary64`
40×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	26	20
2	65	20
3	130	20
4	285	20
5	593	20
6	977	20
7	1145	20
8	1205	20
9	1217	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

151×	`fma-def_binary64`
131×	`fma-neg_binary64`
46×	`cancel-sign-sub-inv_binary64`
36×	`sub-neg_binary64`
30×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	10
2	37	10
3	72	10
4	150	10
5	312	10
6	502	10
7	626	10
8	708	10
9	722	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune10.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 37 to 24 computations (35.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.2%)

Counts

2 → 15

Calls

12 calls:

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

rewrite72.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`log1p-expm1-u_binary64`
903×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	174	16
2	2420	16

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify22.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def_binary64`
155×	`fma-neg_binary64`
55×	`cancel-sign-sub-inv_binary64`
34×	`associate--r+_binary64`
34×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	148	113
6	284	113
7	438	113
8	614	113
9	752	113
10	844	113
11	850	113

Stop Event

1×

saturated

Counts

69 → 59

Calls

Call 1

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

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

prune63.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Error

0.1b

Counts

60 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
	19.1b	(+.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3)))
	30.1b	(-.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))) (/.f64 (.f64 x (.f64 y y)) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))))
▶	0.9b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	27.4b	(+.f64 (-.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2))

Compiler

Compiled 988 to 521 computations (47.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
✓	0.2b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
✓	0.4b	(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
✓	0.4b	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)

series21.0ms (0.6%)

Counts

4 → 40

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`log1p-expm1-u_binary64`
829×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
94×	`pow1_binary64`
93×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	226	47
2	2347	47

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (sqrt.f64 x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y (sqrt.f64 x)) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 (.f64 y (sqrt.f64 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (sqrt.f64 x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y (sqrt.f64 x)) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) (.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6)) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 (.f64 y (sqrt.f64 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (.f64 y (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))

simplify45.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-l_binary64`
622×	`associate-r_binary64`
391×	`fma-def_binary64`
258×	`distribute-rgt-out_binary64`
236×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	879
1	229	754
2	779	741
3	4099	738

Stop Event

1×	node limit

Counts

133 → 95

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3) (.f64 2/3 (.f64 y (*.f64 (pow.f64 (-.f64 1 x) 1/9) (sqrt.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (.f64 1/9 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9)))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3) (.f64 2/3 (.f64 y (.f64 (pow.f64 (-.f64 1 x) 1/9) (sqrt.f64 x))))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))) (.f64 -2/27 (.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (pow.f64 x 3)))))) (+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (.f64 1/9 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9)))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3) (.f64 2/3 (.f64 y (*.f64 (pow.f64 (-.f64 1 x) 1/9) (sqrt.f64 x)))))))
1
(pow.f64 (-.f64 1 x) 1/3)
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (.f64 1/3 (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9))))))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
1
(*.f64 -1 x)
(*.f64 -1 x)

Outputs
(pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 x) 2))
(+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3) (.f64 2/3 (.f64 y (*.f64 (pow.f64 (-.f64 1 x) 1/9) (sqrt.f64 x)))))
(+.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (.f64 (.f64 2/3 y) (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))))
(fma.f64 2/3 (.f64 y (.f64 (*.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (.f64 1/9 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9)))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3) (.f64 2/3 (.f64 y (.f64 (pow.f64 (-.f64 1 x) 1/9) (sqrt.f64 x))))))
(fma.f64 (fma.f64 -2/9 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) (.f64 (.f64 1/9 x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)))) (.f64 y y) (+.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (.f64 (.f64 2/3 y) (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x)))))
(fma.f64 (.f64 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) -1/9) (.f64 y y) (fma.f64 2/3 (.f64 y (.f64 (*.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(fma.f64 2/3 (.f64 y (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (fma.f64 y (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) (*.f64 x -1/9))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(fma.f64 2/3 (.f64 y (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (fma.f64 y (.f64 y (.f64 x (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))) (.f64 -2/27 (.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (pow.f64 x 3)))))) (+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (.f64 1/9 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9)))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/3) (.f64 2/3 (.f64 y (*.f64 (pow.f64 (-.f64 1 x) 1/9) (sqrt.f64 x)))))))
(fma.f64 (pow.f64 y 3) (fma.f64 -2/3 (.f64 (fma.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (.f64 (.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (sqrt.f64 (pow.f64 x 3)))) (cbrt.f64 (/.f64 1 (-.f64 1 x)))) (.f64 (.f64 -2/27 (/.f64 1 (-.f64 1 x))) (sqrt.f64 (pow.f64 x 3)))) (fma.f64 (fma.f64 -2/9 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) (.f64 (.f64 1/9 x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)))) (.f64 y y) (+.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (.f64 (.f64 2/3 y) (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))))))
(fma.f64 (pow.f64 y 3) (fma.f64 -2/27 (/.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 1 x)) (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) -5/27) (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) -2/3))) (fma.f64 (.f64 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) -1/9) (.f64 y y) (fma.f64 2/3 (.f64 y (.f64 (*.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (.f64 (.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) 10/81) (.f64 (pow.f64 x 3/2) (/.f64 -2/27 (-.f64 1 x)))) (fma.f64 2/3 (.f64 y (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (fma.f64 y (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) (.f64 x -1/9))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (.f64 (.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) 10/81) (.f64 (pow.f64 x 3/2) (/.f64 -2/27 (-.f64 1 x)))) (fma.f64 2/3 (.f64 y (.f64 (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (sqrt.f64 x))) (fma.f64 y (.f64 y (.f64 x (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))))
1
(pow.f64 (-.f64 1 x) 1/3)
(cbrt.f64 (-.f64 1 x))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (.f64 1/3 (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18))) (sqrt.f64 x))))
(fma.f64 1/3 (.f64 y (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (cbrt.f64 (-.f64 1 x)))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (-.f64 1 x)))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18))) (sqrt.f64 x)) (.f64 (.f64 -1/9 (.f64 x (.f64 y y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 1/3 (.f64 y (.f64 (sqrt.f64 x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (.f64 -1/9 (.f64 (.f64 x (.f64 y y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))))))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 y (sqrt.f64 x)))) (fma.f64 (.f64 y y) (.f64 x (.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (cbrt.f64 (-.f64 1 x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9))))))
(fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (fma.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (.f64 (.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (sqrt.f64 (pow.f64 x 3)))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))))) (+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18))) (sqrt.f64 x)) (.f64 (.f64 -1/9 (.f64 x (.f64 y y))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))))))
(+.f64 (fma.f64 1/3 (.f64 y (.f64 (sqrt.f64 x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (.f64 -1/9 (.f64 (.f64 x (.f64 y y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (pow.f64 y 3) (.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) -5/27))) (cbrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 y 3) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (pow.f64 x 3/2) -5/27)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) -1/3)) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 y (sqrt.f64 x)))) (fma.f64 (.f64 y y) (.f64 x (.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (cbrt.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3/2))) 5/81) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 y (sqrt.f64 x)))) (fma.f64 (.f64 y y) (.f64 x (.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (cbrt.f64 (-.f64 1 x)))))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

prune204.0ms (6.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	132	10	142

Error

0.0b

Counts

142 → 10

Alt Table

Status	Error	Program
▶	0.9b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	12.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
	19.1b	(+.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3)))
	30.1b	(-.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))) (/.f64 (.f64 x (.f64 y y)) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))))
	1.1b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	1.4b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) 2))
	1.1b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	0.9b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	27.4b	(+.f64 (-.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2))

Compiler

Compiled 4388 to 2913 computations (33.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
✓	0.4b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))
	0.4b	(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
	0.4b	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)

series7.0ms (0.2%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))
0.0ms	x	@	inf	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))
0.0ms	x	@	0	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))
0.0ms	y	@	inf	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))

rewrite43.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`
96×	`pow1_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	267	22
2	2396	22

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))

(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))))

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

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

695×	`distribute-rgt-in_binary64`
373×	`associate-l_binary64`
366×	`associate-r_binary64`
326×	`distribute-lft-out_binary64`
296×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	410
1	143	385
2	454	379
3	2136	376
4	3610	376

Stop Event

1×	node limit

Counts

64 → 57

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 x) 1/3)
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (.f64 1/3 (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9))))))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
1
(*.f64 -1 x)
(*.f64 -1 x)

Outputs
(pow.f64 (-.f64 1 x) 1/3)
(cbrt.f64 (-.f64 1 x))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (.f64 1/3 (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x)))))
(fma.f64 1/3 (.f64 y (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x))) (cbrt.f64 (-.f64 1 x)))
(fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (-.f64 1 x)))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (-.f64 1 x)))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 x (.f64 y y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -1/9 (.f64 x (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x)) (.f64 1/3 y))))
(fma.f64 (.f64 y (.f64 x y)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (-.f64 1 x))))
(fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x))) (fma.f64 (.f64 (.f64 -1/9 y) y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (*.f64 x (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (cbrt.f64 (-.f64 1 x))))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 y (sqrt.f64 x)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (.f64 x (.f64 -1/9 (*.f64 y y)))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (cbrt.f64 (-.f64 1 x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3))) (+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (sqrt.f64 x)))) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9))))))
(fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (fma.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) -2/9)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))))) (+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 x (.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)))))))
(+.f64 (fma.f64 -1/9 (.f64 x (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x)) (.f64 1/3 y))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (fabs.f64 (pow.f64 x 3/2)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) -5/27) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))))) (cbrt.f64 (-.f64 1 x))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 x 3/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) -5/27)) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))))) (fma.f64 (.f64 y (.f64 x y)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 x 3/2) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))))) 5/81) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (sqrt.f64 x))) (fma.f64 (.f64 (.f64 -1/9 y) y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (.f64 x (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18))) (cbrt.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3/2))) 5/81) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (.f64 y (sqrt.f64 x)))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (.f64 x (.f64 -1/9 (.f64 y y)))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (cbrt.f64 (-.f64 1 x)))))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

prune479.0ms (14.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	203	11	214

Error

0.0b

Counts

214 → 11

Alt Table

Status	Error	Program
✓	0.9b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	12.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	1.4b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) 2))
	1.4b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3) 2))
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
	19.1b	(+.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3)))
	30.1b	(-.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))) (/.f64 (.f64 x (.f64 y y)) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))))
▶	1.0b	(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	1.1b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	0.9b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	27.4b	(+.f64 (-.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2))

Compiler

Compiled 8274 to 5599 computations (32.3% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
	0.4b	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)
✓	0.4b	(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
✓	0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)

series61.0ms (1.8%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)
9.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)
7.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)
6.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)
6.0ms	y	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3)

rewrite57.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
93×	`add-cbrt-cube_binary64`
93×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	227	26
2	2376	26

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) 1) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) 1/3) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))))

simplify96.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

373×	`associate-r_binary64`
340×	`associate-l_binary64`
324×	`fma-def_binary64`
271×	`*-commutative_binary64`
178×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4612
1	1034	3892
2	4534	3886

Stop Event

1×	node limit

Counts

77 → 104

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 x) 1/3)
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (.f64 y (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 x))))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 x))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (-.f64 1 x) 1/3)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/9))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 16)) 1/9) x))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9)))))))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 x))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (-.f64 1 x) 3)))) (+.f64 (.f64 -1/162 (.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 1/4374 (.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/9))) (.f64 1/9 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x)))))) (pow.f64 (-.f64 1 x) 1/9)) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9))))) (pow.f64 (-.f64 1 x) 1/9)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/9))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 16)) 1/9) x))) (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9)))) (.f64 (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (-.f64 1 x) 3)))) (+.f64 (.f64 -1/162 (.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 1/4374 (.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (pow.f64 x 3)))))) (pow.f64 (-.f64 1 x) 1/3)))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (-.f64 1 x) 1/3)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/9))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 16)) 1/9) x))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9))))))))))
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(+.f64 (.f64 1/9 (.f64 y (*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9))
(+.f64 (.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2))))) (pow.f64 (-.f64 1 x) 1/9)) (+.f64 (.f64 1/9 (.f64 y (*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9)))
(+.f64 (.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2))))) (pow.f64 (-.f64 1 x) 1/9)) (+.f64 (.f64 1/9 (.f64 y (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9)))) (+.f64 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (-.f64 1 x) 3)))) (+.f64 (.f64 -1/162 (.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 1/4374 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (pow.f64 x 3))))))) (pow.f64 (-.f64 1 x) 1/9)) (pow.f64 (-.f64 1 x) 1/9))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x)))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x)))))) (pow.f64 y 2)) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x)))))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x)))))) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))) (+.f64 (.f64 1/4374 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 3))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -1/162 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 3)))))) (pow.f64 y 3)) (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (.f64 1/162 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 3))) (+.f64 (.f64 -1/4374 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -1/27 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 y 3))))))
1
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(pow.f64 (*.f64 -1 x) 1/9)

Outputs
(pow.f64 (-.f64 1 x) 1/3)
(cbrt.f64 (-.f64 1 x))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (.f64 y (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 x))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (.f64 y (fma.f64 (.f64 1/9 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)))) (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (.f64 1/9 (*.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))))))))
(fma.f64 y (fma.f64 1/9 (.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)) 2/9) (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)))) (cbrt.f64 (-.f64 1 x)))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 x))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (-.f64 1 x) 1/3)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/18 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/9))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 16)) 1/9) x))) (pow.f64 (-.f64 1 x) 1/9)) (.f64 1/9 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (sqrt.f64 x))) (.f64 1/9 (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9)))) (.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/9)))))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 y (fma.f64 (.f64 1/9 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)))) (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (.f64 1/9 (.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))))) (.f64 (.f64 y y) (fma.f64 (.f64 (/.f64 x (pow.f64 (-.f64 1 x) 2)) -4/81) (cbrt.f64 (-.f64 1 x)) (fma.f64 (fma.f64 2 (.f64 (.f64 (/.f64 x (pow.f64 (-.f64 1 x) 2)) -4/81) (.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 2) 1/18))) (.f64 1/81 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 16)) 1/18))))) (.f64 (pow.f64 (-.f64 1 x) 1/18) (pow.f64 (-.f64 1 x) 1/18)) (.f64 1/9 (.f64 (.f64 1/9 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 8)) 1/18))))))))))
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(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x)))))) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))) (+.f64 (.f64 1/4374 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 3))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -1/162 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 3)))))) (pow.f64 y 3)) (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (sqrt.f64 x))))))))
(fma.f64 1/9 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (sqrt.f64 x)))) (/.f64 y (-.f64 1 x)))) (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) x) -4/81) (/.f64 (.f64 y y) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (sqrt.f64 x)))))) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (sqrt.f64 x)))) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 y)) (log.f64 (sqrt.f64 x)))) (/.f64 (pow.f64 y 3) (fma.f64 1/4374 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/27 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/162 (*.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))))))
(+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) x) (/.f64 (/.f64 (.f64 y y) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 (sqrt.f64 x))))) -4/81)) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 (sqrt.f64 x)))) (pow.f64 y 3)) (fma.f64 1/4374 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) 5/162)))) (fma.f64 1/9 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 (sqrt.f64 x)))) (/.f64 y (-.f64 1 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 (sqrt.f64 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))))
(fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))) (/.f64 y (-.f64 1 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))))
(fma.f64 (*.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (-.f64 1 x)))) (sqrt.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2))))
(+.f64 (fma.f64 1/9 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))) (/.f64 y (-.f64 1 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y)))))) (/.f64 (.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) x) -4/81) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) x) (/.f64 (/.f64 (.f64 y y) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) -4/81)) (fma.f64 (.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (-.f64 1 x)))) (sqrt.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))
(+.f64 (.f64 1/9 (.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 x) 2) x)) (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 x))) (.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (.f64 1/162 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 3))) (+.f64 (.f64 -1/4374 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -1/27 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 y 3))))))
(+.f64 (fma.f64 1/9 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))) (/.f64 y (-.f64 1 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y)))))) (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) x) -4/81) (/.f64 (.f64 y y) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))))) (neg.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (log.f64 (/.f64 -1 y))))) (/.f64 (pow.f64 y 3) (fma.f64 1/162 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) -163/4374)))))))
(+.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) x) (/.f64 (/.f64 (.f64 y y) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) -4/81)) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (.f64 (.f64 (pow.f64 (-.f64 1 x) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) -68/2187))) (fma.f64 (*.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (-.f64 1 x)))) (sqrt.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))
1
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -1)))
(pow.f64 (*.f64 -1 x) 1/9)
(*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18))

prune598.0ms (18.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	0	7	7
Picked	0	1	1
Done	1	2	3
Total	251	11	262

Error

0.0b

Counts

262 → 11

Alt Table

Status	Error	Program
	1.4b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) 2))
	1.4b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3) 2))
	1.1b	(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
	19.1b	(+.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3)))
	30.1b	(-.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))) (/.f64 (.f64 x (.f64 y y)) (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))))
✓	1.0b	(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	12.7b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	1.1b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	0.9b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))
	27.4b	(+.f64 (-.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2))

Compiler

Compiled 16302 to 11648 computations (28.5% saved)

regimes82.0ms (2.5%)

Accuracy

Total -45.4b remaining (-49604.1%)

Threshold costs -45.4b (-49604.1%)

Counts

31 → 1

Compiler

Compiled 615 to 370 computations (39.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	16	10
3	18	10
4	19	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end198.0ms (6%)

Stop Event

1×

fuel

Compiler

Compiled 326 to 199 computations (39% saved)

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	148	113
6	284	113
7	438	113
8	614	113
9	752	113
10	844	113
11	850	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	148	113
6	284	113
7	438	113
8	614	113
9	752	113
10	844	113
11	850	113

Details

analyze107.0ms (3.2%)

sample941.0ms (28.4%)

preprocess37.0ms (1.1%)

simplify14.0ms (0.4%)

prune10.0ms (0.3%)

localize6.0ms (0.2%)

series7.0ms (0.2%)

rewrite72.0ms (2.2%)

simplify22.0ms (0.7%)

prune63.0ms (1.9%)

localize9.0ms (0.3%)

series21.0ms (0.6%)

rewrite55.0ms (1.7%)

simplify45.0ms (1.4%)

prune204.0ms (6.2%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite43.0ms (1.3%)

simplify42.0ms (1.3%)

prune479.0ms (14.5%)

localize19.0ms (0.6%)

series61.0ms (1.8%)

rewrite57.0ms (1.7%)

simplify96.0ms (2.9%)

prune598.0ms (18.1%)

regimes82.0ms (2.5%)

simplify2.0ms (0.1%)

end198.0ms (6%)

Profiling

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	148	113
6	284	113
7	438	113
8	614	113
9	752	113
10	844	113
11	850	113