Details

analyze54.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	74.9%	0.1%	0%	25%	0%	4
16.7%	12.5%	62.4%	0.1%	0%	25%	0%	5
30%	18.7%	43.7%	0.1%	0%	37.5%	0%	6
45%	28.1%	34.3%	0.1%	0%	37.5%	0%	7
58.3%	32.8%	23.4%	0.1%	0%	43.7%	0%	8
66.7%	36.7%	18.3%	0.1%	1.2%	43.7%	0%	9
76.2%	39.4%	12.3%	0.1%	1.4%	46.8%	0%	10
81.5%	41.6%	9.5%	0.1%	2%	46.8%	0%	11
87.2%	43%	6.3%	0.1%	2.2%	48.4%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample912.0ms (17.6%)

Results

855.0ms	8255×	body	256	valid
24.0ms	257×	body	256	invalid
18.0ms	174×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess42.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

258×	`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	592	20
6	983	20
7	1146	20
8	1206	20
9	1218	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 12 to 9 computations (25% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

151×	`fma-def_binary64`
131×	`fma-neg_binary64`
46×	`cancel-sign-sub-inv_binary64`
37×	`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	511	10
7	635	10
8	717	10
9	731	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)

eval1.0ms (0%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

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

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series8.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`pow1_binary64`
903×	`add-log-exp_binary64`
903×	`log1p-expm1-u_binary64`
903×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	174	16
2	2425	16

Stop Event

1×	node limit

Counts

2 → 52

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 expm1.f64 (log1p.f64 (.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 expm1.f64 (log1p.f64 (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 exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(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)))))))

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

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def_binary64`
155×	`fma-neg_binary64`
55×	`cancel-sign-sub-inv_binary64`
34×	`distribute-rgt-in_binary64`
33×	`associate--r+_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	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Stop Event

1×

saturated

Counts

67 → 57

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))

eval14.0ms (0.3%)

Compiler: Compiled 799 to 397 computations (50.3% saved)

prune20.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	12	58

Error

0.0b

Counts

58 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	25.9b	(.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (/.f64 1 (-.f64 1 (+.f64 x (.f64 y (sqrt.f64 x))))))
	22.2b	(+.f64 (-.f64 1 x) (sqrt.f64 (.f64 x (.f64 y y))))
	0.8b	(*.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))))
▶	0.4b	(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
	21.9b	(-.f64 1 x)
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
▶	44.4b	(neg.f64 x)
▶	0.1b	(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
	41.2b	1
	32.3b	(+.f64 (-.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2))
▶	41.3b	(*.f64 y (sqrt.f64 x))
▶	25.8b	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))

Compiler

Compiled 271 to 192 computations (29.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sqrt.f64 x) y (-.f64 1 x))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series4.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
634×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	10
2	1729	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def_binary64`
155×	`fma-neg_binary64`
55×	`cancel-sign-sub-inv_binary64`
34×	`distribute-rgt-in_binary64`
33×	`associate--r+_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	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Stop Event

1×

saturated

Counts

38 → 30

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))

localize3.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 10 to 4 computations (60% saved)

localize76.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 y (sqrt.f64 x))
✓	3.0b	(-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y)))
✓	7.8b	(.f64 x (.f64 y y))
✓	21.1b	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))

Compiler

Compiled 73 to 30 computations (58.9% saved)

series61.0ms (1.2%)

Counts

3 → 63

Calls

18 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
2.0ms	y	@	-inf	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
2.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
1.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))

rewrite150.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`fma-def_binary64`
395×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
291×	`log1p-udef_binary64`
240×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	348	51
2	5185	51

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

Outputs

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

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

496×	`unsub-neg_binary64`
409×	`fma-def_binary64`
296×	`difference-of-squares_binary64`
283×	`sub-neg_binary64`
256×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	664
1	86	592
2	218	528
3	628	528
4	2522	528
5	5604	528

Stop Event

1×	node limit

Counts

239 → 199

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)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
1
(+.f64 1 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(+.f64 1 (+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(pow.f64 (-.f64 1 x) 2)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) 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)
(-.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)
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
1
(+.f64 1 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))))
(+.f64 1 (.f64 (neg.f64 x) (+.f64 2 (.f64 y y))))
(-.f64 1 (*.f64 x (fma.f64 y y 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2))
(fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x))
(*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2))))
(*.f64 x (-.f64 x (fma.f64 y y 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x)))
(fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x))
(*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2))))
(*.f64 x (-.f64 x (fma.f64 y y 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(pow.f64 (-.f64 1 x) 2)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 (neg.f64 (.f64 y y)) x)
(.f64 x (.f64 y (neg.f64 y)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 (neg.f64 (.f64 y y)) x)
(.f64 x (.f64 y (neg.f64 y)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (.f64 x (+.f64 2 (.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
	0.3b	(*.f64 y (sqrt.f64 x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓	4.6b	(cbrt.f64 (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series75.0ms (1.5%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(cbrt.f64 (*.f64 y (sqrt.f64 x)))
13.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
9.0ms	x	@	inf	(cbrt.f64 (*.f64 y (sqrt.f64 x)))
5.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
3.0ms	x	@	-inf	(cbrt.f64 (*.f64 y (sqrt.f64 x)))

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`fma-def_binary64`
479×	`log-prod_binary64`
354×	`pow-prod-down_binary64`
268×	`pow2_binary64`
207×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	243	24
2	2947	24

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y y)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 y (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 5/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 y)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 y (sqrt.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 3/2) 2))))))

((#(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 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.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 (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 1 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 (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3)) (fma.f64 x (*.f64 y y) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (-.f64 1 x) y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))))))) (#(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 (-.f64 1 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 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) 2) (-.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))) 2)) (+.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)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))) -1)))) (#(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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 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 expm1.f64 (log1p.f64 (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 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 exp.f64 (*.f64 (*.f64 3 (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)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1) 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 (*.f64 y (sqrt.f64 x)) 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y 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 (-.f64 1 x) 1 (*.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 (cbrt.f64 y) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (*.f64 y y)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (*.f64 y y)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 1/6) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 y (sqrt.f64 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 y) (pow.f64 (*.f64 y x) 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 5/6) (-.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 fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 5/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x 1/6) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x y) 1/2) (sqrt.f64 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 y)) (pow.f64 x 1/6) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (-.f64 1 x))))))

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-def_binary64`
508×	`unswap-sqr_binary64`
477×	`fma-neg_binary64`
442×	`cube-prod_binary64`
400×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	315
1	104	295
2	234	295
3	530	295
4	1641	295
5	3623	295
6	5378	295
7	5998	295
8	6537	295
9	7172	295

Stop Event

1×	node limit

Counts

190 → 163

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) 1)
(+.f64 1 (+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(*.f64 -1 x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(*.f64 -1 x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (.f64 -1 x)))
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (.f64 -1 x)))
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (.f64 -1 x)))
(-.f64 1 x)
(-.f64 1 x)
(-.f64 1 x)

Outputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) 1)
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 1 (+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 1 (+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 1 (+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 x)
(-.f64 1 x)
(-.f64 1 x)

eval330.0ms (6.4%)

Compiler: Compiled 9129 to 4222 computations (53.8% saved)

prune126.0ms (2.4%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	418	10	428
Fresh	5	1	6
Picked	1	0	1
Done	1	4	5
Total	425	15	440

Error

0.0b

Counts

440 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (-.f64 1 x) (.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
	26.1b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (fma.f64 y (sqrt.f64 x) x)))) 3)
✓	41.3b	(*.f64 y (sqrt.f64 x))
▶	0.2b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y)))
▶	21.9b	(-.f64 1 x)
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓	44.4b	(neg.f64 x)
✓	0.1b	(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
▶	57.0b	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
	41.2b	1
	0.5b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (sqrt.f64 x))))
	35.3b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 (.f64 x y) 1/2) (sqrt.f64 y)))
▶	25.9b	(.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))
	41.6b	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
	60.8b	(sqrt.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 328 to 231 computations (29.6% saved)

localize82.0ms (1.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y)))
✓	0.3b	(*.f64 (pow.f64 x 1/4) y)
✓	0.3b	(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series252.0ms (4.9%)

Counts

3 → 51

Calls

18 calls:

Time	Variable		Point	Expression
174.0ms	y	@	0	(*.f64 (pow.f64 x 1/4) y)
42.0ms	x	@	0	(*.f64 (pow.f64 x 1/4) y)
21.0ms	x	@	-inf	(*.f64 (pow.f64 x 1/4) y)
2.0ms	x	@	-inf	(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y))
1.0ms	x	@	inf	(*.f64 (pow.f64 x 1/4) y)

rewrite108.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
442×	`fma-def_binary64`
359×	`pow-prod-down_binary64`
282×	`pow2_binary64`
194×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	223	23
2	3021	23

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y))
(*.f64 (pow.f64 x 1/4) y)
(+.f64 (-.f64 1 x) (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 1/4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (sqrt.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 1/4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 1/4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 1/4) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 x 1/4) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 1/4) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 1/4) y)) 1) 1))))))

((#(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 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.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 (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 1 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 (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) 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(-.f64 x (*.f64 y (sqrt.f64 x))) 2) (-.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))) 2)) (+.f64 1 (-.f64 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 y y) (neg.f64 (pow.f64 (-.f64 1 x) 2))) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.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)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))) -1)))) (#(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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 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 expm1.f64 (log1p.f64 (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 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 exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3)) 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)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y) (-.f64 1 x))))) (#(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 (*.f64 (pow.f64 x 1/4) y) (pow.f64 x 1/4) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) 1 (-.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 (-.f64 1 x) 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 y (sqrt.f64 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 (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 x)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 1/4) y)) (pow.f64 x 1/4)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))) (-.f64 1 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 (cbrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x 1/12) (*.f64 (pow.f64 x 1/4) y)) (-.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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) (*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) (pow.f64 x 1/4)) (-.f64 1 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 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1) 1)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/8) (*.f64 (pow.f64 x 1/8) (*.f64 (pow.f64 x 1/4) y)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 1) y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 1/4) (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 x 1/4) y)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 1/4) (*.f64 (sqrt.f64 y) (pow.f64 x 1/8))) (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 x 1/4) y) (cbrt.f64 (sqrt.f64 x))) (pow.f64 x 1/12) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 x 1/4) y) (pow.f64 x 1/8)) (pow.f64 x 1/8) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x y) 1/2) (sqrt.f64 y) (-.f64 1 x))))))

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-neg_binary64`
675×	`div-sub_binary64`
411×	`times-frac_binary64`
297×	`fma-def_binary64`
232×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	353
1	57	353
2	123	353
3	264	353
4	689	353
5	1913	353
6	5960	353

Stop Event

1×	node limit

Counts

168 → 126

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
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
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
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))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (sqrt.f64 x)))
	0.3b	(*.f64 y (sqrt.f64 x))
✓	7.8b	(.f64 x (.f64 y (neg.f64 y)))
✓	13.9b	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series12.0ms (0.2%)

Counts

3 → 53

Calls

18 calls:

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

rewrite95.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
535×	`fma-def_binary64`
306×	`pow2_binary64`
264×	`fma-neg_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	267	33
2	4158	33

Stop Event

1×	node limit

Counts

3 → 252

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

486×	`times-frac_binary64`
416×	`distribute-rgt-neg-in_binary64`
366×	`distribute-lft-neg-in_binary64`
314×	`div-sub_binary64`
294×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	741
1	204	695
2	752	667
3	4615	663

Stop Event

1×	node limit

Counts

305 → 273

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 y 2) x))
(pow.f64 y 2)
(pow.f64 y 2)
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x))) (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5)))) (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 -1 (-.f64 x 1)))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (.f64 -1 (.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (.f64 (pow.f64 y 2) x))) (.f64 -1 (.f64 (/.f64 (.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 -1 (-.f64 x 1)))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (.f64 -1 (.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (.f64 (pow.f64 y 2) x))) (.f64 -1 (.f64 (/.f64 (.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
x
x
x
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)

Outputs
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(pow.f64 y 2)
(*.f64 y y)
(pow.f64 y 2)
(*.f64 y y)
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) x)) (-.f64 1 x))
(/.f64 (.f64 (.f64 y y) (neg.f64 x)) (-.f64 1 x))
(*.f64 (/.f64 y (/.f64 (-.f64 1 x) y)) (neg.f64 x))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x))) (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (.f64 (.f64 y y) x) (-.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 x)) (-.f64 1 x)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (*.f64 x (/.f64 y (/.f64 (-.f64 1 x) y)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 3/2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 y y) x) (-.f64 1 x)) (.f64 -1 (+.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 x x)) (pow.f64 (-.f64 1 x) 3)) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))))
(-.f64 (-.f64 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (neg.f64 (sqrt.f64 (pow.f64 x 3)))) (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)) (.f64 x x))) (.f64 (/.f64 (*.f64 y y) (-.f64 1 x)) x))
(neg.f64 (fma.f64 (/.f64 y (/.f64 (-.f64 1 x) y)) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (/.f64 (*.f64 x (pow.f64 y 4)) (/.f64 (pow.f64 (-.f64 1 x) 3) x)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 1 (/.f64 1 x))) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (.f64 (*.f64 x x) (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5)))) (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 y y) x) (-.f64 1 x)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (.f64 x x)) (pow.f64 (-.f64 1 x) 3)) (.f64 -1 (+.f64 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5)) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))) (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)) (.f64 x x))) (.f64 (/.f64 (*.f64 y y) (-.f64 1 x)) x))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (pow.f64 x 5/2) (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 3))))) (fma.f64 (/.f64 y (/.f64 (-.f64 1 x) y)) x (/.f64 (*.f64 x (pow.f64 y 4)) (/.f64 (pow.f64 (-.f64 1 x) 3) x))))
(-.f64 (/.f64 (.f64 y y) (-.f64 1 (/.f64 1 x))) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)) (.f64 x x) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 (-.f64 1 x) 4) (pow.f64 x 5/2))))))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 -1 (-.f64 x 1)))
(fma.f64 y (sqrt.f64 x) (neg.f64 (+.f64 x -1)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (.f64 -1 (.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (neg.f64 (.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (-.f64 1 x)))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (.f64 (pow.f64 y 2) x))) (.f64 -1 (.f64 (/.f64 (.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (fma.f64 -1 (/.f64 (+.f64 x -1) (/.f64 (.f64 (.f64 y y) x) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 3) (.f64 y (.f64 y x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 3) (.f64 y (.f64 y x))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (+.f64 (-.f64 1 x) (/.f64 (pow.f64 (-.f64 1 x) 3) (.f64 (.f64 y y) x)))))
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 -1 (-.f64 x 1)))
(fma.f64 y (sqrt.f64 x) (neg.f64 (+.f64 x -1)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (.f64 -1 (.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (neg.f64 (.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (-.f64 1 x)))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1 (-.f64 x 1)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (.f64 (pow.f64 y 2) x))) (.f64 -1 (.f64 (/.f64 (.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (fma.f64 -1 (/.f64 (+.f64 x -1) (/.f64 (.f64 (.f64 y y) x) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 3) (.f64 y (.f64 y x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 3) (.f64 y (.f64 y x))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (+.f64 (-.f64 1 x) (/.f64 (pow.f64 (-.f64 1 x) 3) (.f64 (.f64 y y) x)))))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 y)))
x
x
x
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 y (sqrt.f64 x))
	3.0b	(-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y)))
	7.8b	(.f64 x (.f64 y y))
✓	21.1b	(.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))

Compiler

Compiled 79 to 38 computations (51.9% saved)

series3.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite84.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log-prod_binary64`
679×	`fma-def_binary64`
304×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	345	12
2	4938	10

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

Inputs
(.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))

Outputs

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

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def_binary64`
155×	`fma-neg_binary64`
55×	`cancel-sign-sub-inv_binary64`
34×	`distribute-rgt-in_binary64`
33×	`associate--r+_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	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Stop Event

1×

saturated

Counts

99 → 90

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))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓	0.4b	(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 48 to 24 computations (50% saved)

series16.0ms (0.3%)

Counts

4 → 12

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
2.0ms	y	@	0	(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))
1.0ms	y	@	-inf	(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
688×	`add-log-exp_binary64`
688×	`log1p-expm1-u_binary64`
688×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	182	26
2	2005	26

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	6	72

Stop Event

1×

saturated

Counts

74 → 63

Calls

Call 1

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

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

eval307.0ms (5.9%)

Compiler: Compiled 16341 to 7148 computations (56.3% saved)

prune229.0ms (4.4%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	728	9	737
Fresh	2	4	6
Picked	1	0	1
Done	1	7	8
Total	732	20	752

Error

Counts

752 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	55.0b	(neg.f64 (.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (.f64 y y)))
▶	35.3b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 (.f64 x y) 1/2) (sqrt.f64 y)))
▶	62.7b	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
▶	62.3b	(*.f64 y y)
	41.6b	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓	41.3b	(*.f64 y (sqrt.f64 x))
✓	0.2b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y)))
	41.2b	1
	62.3b	(.f64 y (.f64 x (neg.f64 y)))
▶	60.8b	(sqrt.f64 (.f64 x (.f64 y y)))
✓	21.9b	(-.f64 1 x)
	57.0b	(.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓	44.4b	(neg.f64 x)
✓	0.1b	(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
✓	57.0b	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
▶	0.3b	(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
	0.5b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (sqrt.f64 x))))
	0.8b	(fma.f64 (.f64 (.f64 (pow.f64 x 1/4) y) (cbrt.f64 (sqrt.f64 x))) (pow.f64 x 1/12) (-.f64 1 x))
	62.8b	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 x))

Compiler

Compiled 367 to 253 computations (31.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
✓	0.2b	(*.f64 y (cbrt.f64 x))
✓	0.5b	(cbrt.f64 (sqrt.f64 x))
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 30 to 12 computations (60% saved)

series74.0ms (1.4%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
60.0ms	x	@	-inf	(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
2.0ms	y	@	0	(*.f64 y (cbrt.f64 x))
2.0ms	y	@	0	(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
2.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 x))
1.0ms	x	@	-inf	(*.f64 y (cbrt.f64 x))

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
829×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	198	25
2	2357	25

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

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

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

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-def_binary64`
522×	`sqr-pow_binary64`
503×	`distribute-rgt-neg-in_binary64`
425×	`fma-neg_binary64`
352×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	281
1	55	281
2	106	281
3	230	281
4	779	281
5	1488	281
6	1715	281
7	2003	281
8	2372	281
9	2929	281
10	3891	281
11	5258	281
12	6640	281

Stop Event

1×	node limit

Counts

121 → 90

Calls

Call 1

Inputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(-.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 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))

Outputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(-.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 (*.f64 -1 x))
(-.f64 1 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))

Compiler

Compiled 25 to 15 computations (40% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
1.0ms	y	@	0	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
1.0ms	y	@	inf	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
0.0ms	x	@	0	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
856×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	13
2	2404	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))

Outputs

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

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

801×	`unswap-sqr_binary64`
619×	`distribute-rgt-neg-in_binary64`
561×	`distribute-lft-neg-in_binary64`
403×	`distribute-rgt-out--_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	428
1	99	388
2	342	360
3	1706	333
4	4762	332

Stop Event

1×	node limit

Counts

59 → 53

Calls

Call 1

Inputs
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -1 (.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -1 (.f64 (pow.f64 y 2) x)))))
(pow.f64 y 2)
(+.f64 (/.f64 (pow.f64 y 2) x) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2)))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 y 2)
(+.f64 (/.f64 (pow.f64 y 2) x) (pow.f64 y 2))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2)))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2))))

Outputs
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (pow.f64 y 2) (-.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 y (/.f64 (+.f64 1 (/.f64 -1 x)) y))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 x (neg.f64 (.f64 y y)))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (+.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 (.f64 y y) x)))
(.f64 (neg.f64 (.f64 y y)) (+.f64 x (*.f64 x x)))
(.f64 (.f64 y y) (neg.f64 (fma.f64 x x x)))
(.f64 x (.f64 (*.f64 y y) (-.f64 -1 x)))
(.f64 y (.f64 x (*.f64 y (-.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -1 (.f64 (pow.f64 y 2) x))))
(fma.f64 -1 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (.f64 (.f64 y y) (pow.f64 x 3)) (neg.f64 (.f64 (*.f64 y y) x))))
(-.f64 (.f64 (neg.f64 (.f64 y y)) (+.f64 (pow.f64 x 3) x)) (.f64 (.f64 y y) (*.f64 x x)))
(.f64 (.f64 y (neg.f64 y)) (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(.f64 (.f64 y (*.f64 y x)) (-.f64 -1 (fma.f64 x x x)))
(.f64 (.f64 y y) (*.f64 x (-.f64 -1 (fma.f64 x x x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -1 (.f64 (pow.f64 y 2) x)))))
(fma.f64 -1 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 -1 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (.f64 (.f64 y y) (pow.f64 x 3)) (neg.f64 (.f64 (*.f64 y y) x)))))
(+.f64 (.f64 (neg.f64 (.f64 y y)) (+.f64 (pow.f64 x 3) x)) (.f64 (neg.f64 (.f64 y y)) (+.f64 (pow.f64 x 4) (*.f64 x x))))
(.f64 (.f64 y (neg.f64 y)) (+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(.f64 (.f64 (.f64 y y) (-.f64 -1 (.f64 x x))) (fma.f64 x x x))
(.f64 (.f64 y y) (*.f64 (+.f64 x (pow.f64 x 3)) (-.f64 -1 x)))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (/.f64 (pow.f64 y 2) x) (pow.f64 y 2))
(+.f64 (.f64 y y) (/.f64 (.f64 y y) x))
(fma.f64 y y (/.f64 y (/.f64 x y)))
(fma.f64 y y (*.f64 (/.f64 y x) y))
(*.f64 y (+.f64 y (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2)))
(+.f64 (/.f64 (.f64 y y) x) (+.f64 (.f64 y y) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 y y (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 y y (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 (/.f64 y x) y)))
(fma.f64 y y (*.f64 (/.f64 y x) (+.f64 y (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 (/.f64 (.f64 y y) x) (+.f64 (+.f64 (.f64 y y) (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (fma.f64 y y (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (fma.f64 y y (.f64 (/.f64 y x) y)) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))))
(+.f64 (.f64 y y) (.f64 (/.f64 y x) (+.f64 y (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))))))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (/.f64 (pow.f64 y 2) x) (pow.f64 y 2))
(+.f64 (.f64 y y) (/.f64 (.f64 y y) x))
(fma.f64 y y (/.f64 y (/.f64 x y)))
(fma.f64 y y (*.f64 (/.f64 y x) y))
(*.f64 y (+.f64 y (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2)))
(+.f64 (/.f64 (.f64 y y) x) (+.f64 (.f64 y y) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 y y (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 y y (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 (/.f64 y x) y)))
(fma.f64 y y (*.f64 (/.f64 y x) (+.f64 y (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 y 2))))
(+.f64 (/.f64 (.f64 y y) x) (+.f64 (+.f64 (.f64 y y) (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (fma.f64 y y (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (fma.f64 y y (.f64 (/.f64 y x) y)) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))))
(+.f64 (.f64 y y) (.f64 (/.f64 y x) (+.f64 y (+.f64 (/.f64 y x) (/.f64 y (*.f64 x x))))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	7.8b	(.f64 x (.f64 y y))
✓	24.6b	(sqrt.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 y y)))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 x (.f64 y y)))
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 y y)))
0.0ms	y	@	-inf	(sqrt.f64 (.f64 x (.f64 y y)))
0.0ms	y	@	inf	(sqrt.f64 (.f64 x (.f64 y y)))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	121	6
2	1448	6

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	80
1	12	80
2	25	80
3	29	80
4	33	80
5	51	80
6	73	80
7	84	80
8	96	80
9	121	80

Stop Event

1×

saturated

Counts

36 → 26

Calls

Call 1

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

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

localize25.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 (.f64 x y) 1/2) (sqrt.f64 y)))
✓	0.2b	(.f64 (pow.f64 (.f64 x y) 1/2) (sqrt.f64 y))
✓	10.6b	(pow.f64 (*.f64 x y) 1/2)

Compiler

Compiled 39 to 19 computations (51.3% saved)

series17.0ms (0.3%)

Counts

3 → 27

Calls

18 calls:

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

rewrite96.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
426×	`pow-prod-down_binary64`
413×	`fma-def_binary64`
297×	`pow2_binary64`
215×	`pow-to-exp_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	242	24
2	3156	22

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/6) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/4) (pow.f64 (*.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x y))) 2))))))

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

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

simplify107.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-neg_binary64`
627×	`fma-def_binary64`
446×	`cube-prod_binary64`
399×	`distribute-rgt-neg-in_binary64`
345×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	185
1	44	185
2	113	185
3	288	185
4	1063	185
5	2462	185
6	3708	185
7	4460	185
8	5531	185
9	7234	185

Stop Event

1×

unsound

Counts

144 → 126

Calls

Call 1

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

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

eval123.0ms (2.4%)

Compiler: Compiled 4057 to 2126 computations (47.6% saved)

prune63.0ms (1.2%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	305	5	310
Fresh	2	6	8
Picked	1	0	1
Done	0	11	11
Total	308	22	330

Error

Counts

330 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	55.0b	(neg.f64 (.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (.f64 y y)))
✓	62.7b	(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
✓	41.3b	(*.f64 y (sqrt.f64 x))
✓	0.2b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y)))
	41.2b	1
	62.3b	(.f64 y (.f64 x (neg.f64 y)))
	41.6b	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓	60.8b	(sqrt.f64 (.f64 x (.f64 y y)))
	0.3b	(fma.f64 (*.f64 y (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)) (-.f64 1 x))
✓	21.9b	(-.f64 1 x)
	57.0b	(.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))
✓	0.1b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓	44.4b	(neg.f64 x)
✓	0.1b	(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
✓	57.0b	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
✓	0.3b	(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
	0.5b	(+.f64 (-.f64 1 x) (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (sqrt.f64 x))))
	62.7b	(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
	54.3b	(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 y))
	62.8b	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 x))
	19.5b	(+.f64 (-.f64 1 x) (sqrt.f64 (.f64 y (.f64 x y))))
✓	62.3b	(*.f64 y y)

Compiler

Compiled 231 to 158 computations (31.6% saved)

regimes80.0ms (1.6%)

Counts

36 → 1

Calls

Call 1

Inputs
1
1
1
(neg.f64 x)
(*.f64 y y)
(-.f64 1 x)
(.f64 y (.f64 x (neg.f64 y)))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 (.f64 x (.f64 y y)))
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 1 x) (sqrt.f64 (.f64 y (.f64 x y))))
(+.f64 (-.f64 1 x) (sqrt.f64 (.f64 x (.f64 y y))))
(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
(.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
(+.f64 (-.f64 1 x) (.f64 (pow.f64 (.f64 x y) 1/2) (sqrt.f64 y)))
(+.f64 (-.f64 1 x) (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) y)))
(neg.f64 (.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
(.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (.f64 x (.f64 y y))) (/.f64 1 (-.f64 (-.f64 1 x) (.f64 y (sqrt.f64 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))))))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
(+.f64 (-.f64 1 x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2))
(fma.f64 (*.f64 y (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)) (-.f64 1 x))
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
(+.f64 (-.f64 1 x) (.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
(+.f64 (-.f64 1 x) (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (sqrt.f64 x))))
(fma.f64 (.f64 (.f64 (pow.f64 x 1/4) y) (cbrt.f64 (sqrt.f64 x))) (pow.f64 x 1/12) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (fma.f64 y (sqrt.f64 x) x)))) 3)
(*.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))))

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

Calls

4 calls:

19.0ms	y
17.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
17.0ms	x
16.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))`
0.1b	1	`(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 403 to 200 computations (50.4% saved)

regimes36.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
11.0ms	x
8.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 140 to 68 computations (51.4% saved)

regimes60.0ms (1.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	x
20.0ms	y

Results

Error	Segments	Branch
18.0b	5	`x`
4.1b	3	`y`

Compiler

Compiled 63 to 36 computations (42.9% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.792653805016995e+85	6.821122743294537e+85
22.0ms	-5.491909915916374e+86	-3.4335412729865986e+78

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes16.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
1
1
1
(neg.f64 x)
(*.f64 y y)
(-.f64 1 x)
(.f64 y (.f64 x (neg.f64 y)))
(/.f64 y (/.f64 (-.f64 1 (/.f64 1 x)) y))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(/.f64 (.f64 x (.f64 y (neg.f64 y))) (-.f64 1 x))

Outputs
(-.f64 1 x)

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

Error	Segments	Branch
21.9b	1	`x`
21.9b	1	`y`

Compiler

Compiled 53 to 32 computations (39.6% saved)

regimes32.0ms (0.6%)

Counts

5 → 2

Calls

Call 1

Inputs
1
1
1
(neg.f64 x)
(*.f64 y y)

Outputs
1
(neg.f64 x)

Calls

2 calls:

21.0ms	y
9.0ms	x

Results

Error	Segments	Branch
22.8b	2	`x`
37.4b	5	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.0034595146748791915	0.2110680741663476

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes40.0ms (0.8%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
1
1
1

Outputs
1

Calls

2 calls:

35.0ms	x
3.0ms	y

Results

Error	Segments	Branch
41.2b	1	`x`
41.2b	1	`y`

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	28	65
2	31	65
3	32	65

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y -549190991591637432265308529163962378886025530823208445326828433021794691442680600199168) (.f64 y (sqrt.f64 x)) (if (<=.f64 y 27926538050169951248156466041486690444070586613124733599636582725152935263741769940992) (-.f64 1 x) (.f64 y (sqrt.f64 x))))
(-.f64 1 x)
(if (<=.f64 x 7977097728342369/2305843009213693952) 1 (neg.f64 x))
1

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 x) y))
(if (<=.f64 y -549190991591637432265308529163962378886025530823208445326828433021794691442680600199168) (.f64 y (sqrt.f64 x)) (if (<=.f64 y 27926538050169951248156466041486690444070586613124733599636582725152935263741769940992) (-.f64 1 x) (.f64 y (sqrt.f64 x))))
(if (<=.f64 y -549190991591637432265308529163962378886025530823208445326828433021794691442680600199168) (.f64 (sqrt.f64 x) y) (if (<=.f64 y 27926538050169951248156466041486690444070586613124733599636582725152935263741769940992) (-.f64 1 x) (.f64 (sqrt.f64 x) y)))
(-.f64 1 x)
(if (<=.f64 x 7977097728342369/2305843009213693952) 1 (neg.f64 x))
1

Compiler

Compiled 57 to 39 computations (31.6% saved)

soundness0.0ms (0%)

end44.0ms (0.9%)

Compiler: Compiled 47 to 26 computations (44.7% saved)

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Details

analyze54.0ms (1%)

sample912.0ms (17.6%)

preprocess42.0ms (0.8%)

simplify22.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series8.0ms (0.1%)

rewrite60.0ms (1.2%)

simplify30.0ms (0.6%)

eval14.0ms (0.3%)

prune20.0ms (0.4%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite47.0ms (0.9%)

simplify32.0ms (0.6%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize76.0ms (1.5%)

series61.0ms (1.2%)

rewrite150.0ms (2.9%)

simplify77.0ms (1.5%)

localize17.0ms (0.3%)

series75.0ms (1.5%)

rewrite72.0ms (1.4%)

simplify108.0ms (2.1%)

eval330.0ms (6.4%)

prune126.0ms (2.4%)

localize82.0ms (1.6%)

series252.0ms (4.9%)

rewrite108.0ms (2.1%)

simplify64.0ms (1.2%)

localize3.0ms (0.1%)

localize18.0ms (0.3%)

series12.0ms (0.2%)

rewrite95.0ms (1.8%)

simplify63.0ms (1.2%)

localize28.0ms (0.5%)

series3.0ms (0.1%)

rewrite84.0ms (1.6%)

simplify30.0ms (0.6%)

localize21.0ms (0.4%)

series16.0ms (0.3%)

rewrite66.0ms (1.3%)

simplify8.0ms (0.2%)

eval307.0ms (5.9%)

prune229.0ms (4.4%)

localize17.0ms (0.3%)

series74.0ms (1.4%)

rewrite72.0ms (1.4%)

simplify122.0ms (2.4%)

localize3.0ms (0.1%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite62.0ms (1.2%)

simplify61.0ms (1.2%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (1.1%)

simplify18.0ms (0.3%)

localize25.0ms (0.5%)

series17.0ms (0.3%)

rewrite96.0ms (1.9%)

simplify107.0ms (2.1%)

eval123.0ms (2.4%)

prune63.0ms (1.2%)

regimes80.0ms (1.6%)

regimes36.0ms (0.7%)

regimes60.0ms (1.2%)

bsearch41.0ms (0.8%)

regimes16.0ms (0.3%)

regimes32.0ms (0.6%)

bsearch20.0ms (0.4%)

regimes40.0ms (0.8%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end44.0ms (0.9%)

Profiling

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113

Iter	Nodes	Cost
0	11	113
1	21	113
2	32	113
3	54	113
4	88	113
5	147	113
6	283	113
7	436	113
8	595	113
9	733	113
10	825	113
11	831	113