Details

analyze106.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.7s (27.5%)

Results

1.6s	8256×	body	256	valid
36.0ms	358×	body	256	invalid

preprocess66.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

303×	`fma-neg_binary64`
296×	`fma-def_binary64`
157×	`distribute-rgt-in_binary64`
98×	`distribute-lft-in_binary64`
95×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	23	20
2	66	20
3	150	20
4	345	20
5	497	20
6	795	20
7	1291	20
8	1609	20
9	1779	20
10	1851	20
11	1851	20
12	1851	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-def_binary64`
148×	`fma-neg_binary64`
79×	`distribute-rgt-in_binary64`
52×	`cancel-sign-sub-inv_binary64`
49×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	38	10
3	85	10
4	194	10
5	292	10
6	451	10
7	694	10
8	1327	10
9	1405	10
10	1441	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.6b	(*.f64 x (fma.f64 y (neg.f64 y) y))
▶	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
482×	`add-sqr-sqrt_binary64`
462×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	8
2	1538	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

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

Outputs

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

simplify186.0ms (3%)

Algorithm

1×	egg-herbie

Rules

396×	`unsub-neg_binary64`
387×	`distribute-rgt-out--_binary64`
358×	`fma-neg_binary64`
357×	`sub-neg_binary64`
317×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	253
1	30	232
2	64	232
3	153	232
4	469	232
5	1733	232
6	4121	232
7	6658	232

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
692×	`add-log-exp_binary64`
692×	`log1p-expm1-u_binary64`
692×	`expm1-log1p-u_binary64`
678×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	144	10
2	1837	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

367×	`fma-neg_binary64`
349×	`associate-l_binary64`
306×	`distribute-rgt-neg-in_binary64`
295×	`distribute-rgt-out--_binary64`
295×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	232
1	34	232
2	83	232
3	189	232
4	590	232
5	1939	232
6	3937	232
7	6091	232
8	7890	232

Stop Event

1×	node limit

Counts

43 → 25

Calls

Call 1

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

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

eval9.0ms (0.1%)

Compiler: Compiled 409 to 197 computations (51.8% saved)

prune18.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	38	8	46

Error

0.0b

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
▶	19.9b	(*.f64 y x)
	11.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
▶	37.0b	(.f64 x (neg.f64 (.f64 y y)))
▶	31.5b	(.f64 y (.f64 y (neg.f64 x)))
	28.9b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
▶	5.6b	(.f64 (.f64 y (-.f64 1 y)) x)
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 153 to 104 computations (32% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	11.6b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series12.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)

rewrite109.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	212	22
2	2338	22

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

68 → 68

Calls

Call 1

Inputs

Outputs

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.1b	(.f64 x (neg.f64 (.f64 y y)))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 x (neg.f64 (.f64 y y)))
1.0ms	x	@	0	(.f64 x (neg.f64 (.f64 y y)))
1.0ms	x	@	inf	(.f64 x (neg.f64 (.f64 y y)))
1.0ms	y	@	0	(.f64 x (neg.f64 (.f64 y y)))
1.0ms	y	@	inf	(.f64 x (neg.f64 (.f64 y y)))

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`pow1_binary64`
471×	`add-sqr-sqrt_binary64`
454×	`add-log-exp_binary64`
453×	`log1p-expm1-u_binary64`
453×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	126	7
2	1625	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-neg_binary64`
566×	`distribute-lft-neg-in_binary64`
557×	`distribute-rgt-neg-in_binary64`
507×	`fma-def_binary64`
366×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	100	216
4	267	216
5	882	216
6	1467	216
7	2632	216
8	3726	216
9	4571	216
10	5180	216
11	5952	216
12	7098	216

Stop Event

1×	node limit

Counts

37 → 15

Calls

Call 1

Inputs
(.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))

Outputs
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
482×	`add-sqr-sqrt_binary64`
464×	`add-log-exp_binary64`
463×	`log1p-expm1-u_binary64`
463×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	124	7
2	1607	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-neg_binary64`
566×	`distribute-lft-neg-in_binary64`
557×	`distribute-rgt-neg-in_binary64`
507×	`fma-def_binary64`
366×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	100	216
4	267	216
5	882	216
6	1467	216
7	2632	216
8	3726	216
9	4571	216
10	5180	216
11	5952	216
12	7098	216

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

Inputs
(.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))

Outputs
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (neg.f64 y) (.f64 y x))
(.f64 y (.f64 y (neg.f64 x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(.f64 (.f64 y (-.f64 1 y)) x)

Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	144	10
2	1831	10

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify241.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

367×	`fma-neg_binary64`
354×	`associate-l_binary64`
306×	`distribute-rgt-neg-in_binary64`
298×	`distribute-rgt-out--_binary64`
295×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	295
1	34	274
2	83	232
3	189	232
4	591	232
5	1954	232
6	3959	232
7	6114	232
8	7932	232

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

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

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

eval45.0ms (0.7%)

Compiler: Compiled 1705 to 1048 computations (38.5% saved)

prune157.0ms (2.6%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	138	11	149

Error

Counts

149 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (-.f64 1 y)))
✓	31.5b	(.f64 y (.f64 y (neg.f64 x)))
▶	28.0b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	19.9b	(*.f64 y x)
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2)))
✓	5.6b	(.f64 (.f64 y (-.f64 1 y)) x)
✓	37.0b	(.f64 x (neg.f64 (.f64 y y)))
▶	11.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
▶	28.9b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 253 to 174 computations (31.2% saved)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (.f64 x y)))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2)
✓	11.6b	(cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))
✓	11.6b	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 85 to 50 computations (41.2% saved)

series47.0ms (0.8%)

Counts

4 → 16

Calls

24 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))
5.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (.f64 x y)))
3.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (.f64 x y)))
1.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (.f64 x y)))
1.0ms	y	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (.f64 x y)))

rewrite77.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
478×	`pow-prod-down_binary64`
303×	`pow2_binary64`
283×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	265	54
2	3103	54

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (cbrt.f64 (cbrt.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x y) 1/6) (pow.f64 (.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (.f64 x y))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 (.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 1/6) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 y (-.f64 1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 y (-.f64 1 y))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (.f64 x (*.f64 y (-.f64 1 y))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 1/6) (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) (cbrt.f64 y)) (cbrt.f64 (.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))) 5) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 y (-.f64 1 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x (.f64 y (-.f64 1 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 (.f64 x (*.f64 y (-.f64 1 y)))))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) (pow.f64 (.f64 x y) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) (pow.f64 (.f64 x y) 1/6))) 2))))))

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

717×	`distribute-rgt-out_binary64`
647×	`distribute-lft-out_binary64`
646×	`fma-def_binary64`
489×	`associate-l_binary64`
448×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	256
1	91	253
2	238	242
3	763	237
4	3236	237
5	6679	237

Stop Event

1×	node limit

Counts

125 → 118

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) x)) (*.f64 y x))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 y x) (.f64 -1/9 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -4/81 (.f64 (pow.f64 y 4) x)) (.f64 -1/9 (*.f64 (pow.f64 y 3) x)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))

Outputs
(*.f64 y x)
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) x)) (*.f64 y x))
(fma.f64 -2/3 (.f64 x (.f64 y y)) (*.f64 y x))
(.f64 x (+.f64 y (.f64 -2/3 (*.f64 y y))))
(.f64 x (fma.f64 -2/3 (.f64 y y) y))
(.f64 y (.f64 (fma.f64 y -2/3 1) x))
(.f64 y (.f64 x (fma.f64 y -2/3 1)))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 y x) (.f64 -1/9 (*.f64 (pow.f64 y 3) x))))
(fma.f64 -2/3 (.f64 x (.f64 y y)) (fma.f64 y x (.f64 -1/9 (.f64 x (pow.f64 y 3)))))
(fma.f64 -2/3 (.f64 y (.f64 y x)) (.f64 x (+.f64 y (.f64 -1/9 (pow.f64 y 3)))))
(.f64 x (+.f64 (fma.f64 -2/3 (.f64 y y) y) (*.f64 -1/9 (pow.f64 y 3))))
(.f64 x (fma.f64 -2/3 (.f64 y y) (fma.f64 -1/9 (pow.f64 y 3) y)))
(.f64 x (fma.f64 -1/9 (pow.f64 y 3) (fma.f64 y (.f64 y -2/3) y)))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -4/81 (.f64 (pow.f64 y 4) x)) (.f64 -1/9 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -2/3 (.f64 x (.f64 y y)) (fma.f64 y x (fma.f64 -4/81 (.f64 x (pow.f64 y 4)) (.f64 -1/9 (*.f64 x (pow.f64 y 3))))))
(fma.f64 -2/3 (.f64 y (.f64 y x)) (fma.f64 y x (.f64 x (+.f64 (.f64 -4/81 (pow.f64 y 4)) (*.f64 -1/9 (pow.f64 y 3))))))
(.f64 x (+.f64 (fma.f64 -1/9 (pow.f64 y 3) (.f64 -4/81 (pow.f64 y 4))) (fma.f64 -2/3 (*.f64 y y) y)))
(.f64 x (fma.f64 (fma.f64 y -2/3 1) y (.f64 (pow.f64 y 3) (+.f64 -1/9 (*.f64 y -4/81)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 y) 2)) 1/3) (*.f64 y x))
(.f64 (.f64 y x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)))
(.f64 y (.f64 x (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))
(.f64 x (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
✓	10.9b	(sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series13.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
827×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	210	22
2	2286	22

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
692×	`fma-neg_binary64`
436×	`associate-/l/_binary64`
344×	`cancel-sign-sub-inv_binary64`
286×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	424
1	277	337
2	1086	277
3	4537	269

Stop Event

1×	node limit

Counts

82 → 91

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 x))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) y)) (sqrt.f64 x))) (.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 x)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 y 2))) (sqrt.f64 x))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) y)) (sqrt.f64 x))) (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 x))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (sqrt.f64 -1) y) (sqrt.f64 x))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (sqrt.f64 -1) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x))) (.f64 1/16 (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 y 2)) (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 y x) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (.f64 -1/8 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 4) y))) (+.f64 (.f64 y x) (+.f64 (.f64 1/8 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 4) y))) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) y)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))))))

Outputs
(.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x))
(.f64 y (.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 x))))
(fma.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x) (.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1)))))
(.f64 (sqrt.f64 x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 -1) y (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) y)) (sqrt.f64 x))) (.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 x)))))
(fma.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x) (fma.f64 -1/8 (/.f64 (.f64 1 (sqrt.f64 x)) (.f64 y (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 -1) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/8 (neg.f64 (*.f64 (sqrt.f64 -1) y))))))
(.f64 (sqrt.f64 x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) y (/.f64 1/8 (.f64 (sqrt.f64 -1) y)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 y 2))) (sqrt.f64 x))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) y)) (sqrt.f64 x))) (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 x))))))
(fma.f64 1/16 (/.f64 (.f64 1 (sqrt.f64 x)) (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 y y))) (fma.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x) (fma.f64 -1/8 (/.f64 (.f64 1 (sqrt.f64 x)) (.f64 y (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1)))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/8 (neg.f64 (.f64 (sqrt.f64 -1) y))))) (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/16 (.f64 y (.f64 y (pow.f64 (sqrt.f64 -1) 5)))) (.f64 (sqrt.f64 -1) y))))
(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 (sqrt.f64 -1) y) (/.f64 (/.f64 1/16 y) (.f64 y (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) y)) (/.f64 1/2 (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 -1) y (/.f64 1/2 (sqrt.f64 -1)))) (.f64 (/.f64 (sqrt.f64 x) y) (+.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 1/16 (*.f64 y (pow.f64 (sqrt.f64 -1) 5))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x)))
(neg.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)))
(.f64 (sqrt.f64 -1) (neg.f64 (.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 -1) (.f64 y (neg.f64 (sqrt.f64 x))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (neg.f64 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (.f64 (sqrt.f64 -1) y)) (*.f64 (sqrt.f64 -1) 1/2)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (-.f64 1/2 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (sqrt.f64 -1) y) (sqrt.f64 x))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) y) (sqrt.f64 x)))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (fma.f64 1/8 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) y)) (neg.f64 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 -1) 1/2) (.f64 1/8 (/.f64 (sqrt.f64 -1) y)))) (.f64 y (*.f64 (sqrt.f64 -1) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 -1) (+.f64 1/2 (neg.f64 y))) (*.f64 1/8 (/.f64 (sqrt.f64 -1) y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 -1) (-.f64 1/2 y)) (*.f64 1/8 (/.f64 (sqrt.f64 -1) y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (sqrt.f64 -1) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x))) (.f64 1/16 (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 y 2)) (sqrt.f64 x))))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (fma.f64 1/8 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) y)) (fma.f64 -1 (.f64 (.f64 (sqrt.f64 -1) y) (sqrt.f64 x)) (.f64 (.f64 1/16 (/.f64 (sqrt.f64 -1) (*.f64 y y))) (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (neg.f64 (.f64 (sqrt.f64 -1) y)) (.f64 1/16 (/.f64 (/.f64 (sqrt.f64 -1) y) y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 -1) 1/2) (.f64 1/8 (/.f64 (sqrt.f64 -1) y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 -1) (.f64 y y)) (.f64 (sqrt.f64 -1) (neg.f64 y))) (fma.f64 (sqrt.f64 -1) 1/2 (.f64 1/8 (/.f64 (sqrt.f64 -1) y)))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 -1) y) (+.f64 1/8 (/.f64 1/16 y)))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (-.f64 1/2 y)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y)))
(.f64 -1 (.f64 y (*.f64 y x)))
(.f64 y (.f64 y (neg.f64 x)))
(+.f64 (.f64 y x) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y))))
(.f64 x (+.f64 (.f64 -1 (*.f64 y y)) y))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 y x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y))))
(.f64 x (+.f64 (.f64 -1 (*.f64 y y)) y))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))
(+.f64 (.f64 -1/8 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 4) y))) (+.f64 (.f64 y x) (+.f64 (.f64 1/8 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 4) y))) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))))
(fma.f64 y x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y))))
(.f64 x (+.f64 (.f64 -1 (*.f64 y y)) y))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y)))
(.f64 -1 (.f64 y (*.f64 y x)))
(.f64 y (.f64 y (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y))))
(.f64 x (+.f64 (.f64 -1 (*.f64 y y)) y))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))))
(fma.f64 y x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y))))
(.f64 x (+.f64 (.f64 -1 (*.f64 y y)) y))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) y)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))))))
(fma.f64 y x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x (*.f64 y y))))
(.f64 x (+.f64 (.f64 -1 (*.f64 y y)) y))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y)))
✓	0.2b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	10.9b	(sqrt.f64 (*.f64 x y))

Compiler

Compiled 36 to 14 computations (61.1% saved)

series13.0ms (0.2%)

Counts

3 → 24

Calls

18 calls:

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

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	184	28
2	2296	28

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-def_binary64`
726×	`unswap-sqr_binary64`
456×	`distribute-rgt-neg-in_binary64`
369×	`distribute-lft-neg-in_binary64`
350×	`difference-of-squares_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	295
1	62	274
2	234	232
3	680	232
4	1833	232
5	4433	232
6	7886	232

Stop Event

1×	node limit

Counts

81 → 66

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 y y y))
✓	1.5b	(.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y))
✓	9.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))

Compiler

Compiled 52 to 27 computations (48.1% saved)

series10.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`log-prod_binary64`
557×	`prod-diff_binary64`
301×	`fma-def_binary64`
235×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	268	44
2	3664	44

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

565×	`distribute-rgt-in_binary64`
539×	`fma-def_binary64`
537×	`distribute-lft-in_binary64`
412×	`associate--r-_binary64`
379×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	821
1	196	751
2	786	655
3	3185	655

Stop Event

1×	node limit

Counts

216 → 183

Calls

Call 1

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

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

localize46.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2)
	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
	11.6b	(cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))

Compiler

Compiled 111 to 76 computations (31.5% saved)

series61.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
8.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
7.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
3.0ms	y	@	-inf	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2)

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
440×	`prod-exp_binary64`
361×	`exp-prod_binary64`
350×	`pow-prod-down_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	224	31
2	2603	30

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))))))) 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((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 y) y)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 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(*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1/3) (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1) (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1/3) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) (*.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1/3) (*.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1) (*.f64 (*.f64 1/9 (log.f64 (*.f64 x (*.f64 (-.f64 1 y) y)))) 1)))))))

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def_binary64`
579×	`associate-l_binary64`
576×	`associate-r_binary64`
398×	`fma-neg_binary64`
341×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2248
1	488	2178
2	1606	1774
3	7765	1774

Stop Event

1×	node limit

Counts

129 → 139

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (.f64 -1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) y)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 -4/81 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (.f64 -1/9 (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) y))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 -4/81 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (+.f64 (.f64 -1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) y)) (.f64 -68/2187 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 3))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y))))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (.f64 -1/9 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) y)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 -1/9 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) y)) (.f64 -4/81 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2)))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 -68/2187 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (pow.f64 y 3))) (+.f64 (.f64 -1/9 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) y)) (.f64 -4/81 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))))
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(+.f64 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))) (+.f64 (.f64 -68/2187 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y))) (.f64 -4/81 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2)))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)
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(+.f64 (.f64 (+.f64 (.f64 -8/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 1/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2))) (pow.f64 y 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) y)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 8/729 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 -136/2187 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) 2)
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(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))
(+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) y))) (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)))
(+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) y))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (+.f64 (.f64 -8/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))))))
(+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) y))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (+.f64 (.f64 -8/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))) (+.f64 (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 136/2187 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))) (.f64 -8/729 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)))) (pow.f64 y 3)))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))

Outputs
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (.f64 -1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) y)))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (.f64 -1/9 (.f64 y (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))))))
(fma.f64 -1/9 (*.f64 y (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))))
(.f64 (+.f64 (.f64 y -1/9) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 -4/81 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (.f64 -1/9 (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) y))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (fma.f64 -4/81 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (.f64 -1/9 (.f64 y (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))))))
(+.f64 (fma.f64 -1/9 (.f64 y (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (.f64 (.f64 y y) -4/81)))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (+.f64 (.f64 y -1/9) (.f64 y (.f64 y -4/81)))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 -4/81 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 2))) (+.f64 (.f64 -1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) y)) (.f64 -68/2187 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) (pow.f64 y 3))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (fma.f64 -4/81 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (fma.f64 -1/9 (.f64 y (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))) (.f64 -68/2187 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (pow.f64 y 3))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (fma.f64 -4/81 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (.f64 y y)) (fma.f64 -1/9 (.f64 y (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (*.f64 (pow.f64 y 3) -68/2187)))))
(+.f64 (.f64 (+.f64 (.f64 y -1/9) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) (+.f64 (.f64 y (.f64 y -4/81)) (.f64 -68/2187 (pow.f64 y 3)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (*.f64 -2 (neg.f64 (log.f64 y)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x))))
(exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (*.f64 2/9 (log.f64 y))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (.f64 -1/9 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) y)))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (*.f64 -2 (neg.f64 (log.f64 y))))) y)))
(fma.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))))
(fma.f64 -1/9 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (.f64 2/9 (log.f64 y)))) y) (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (.f64 2/9 (log.f64 y)))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 -1/9 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) y)) (.f64 -4/81 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2)))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) (fma.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) y) (.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) (*.f64 y y)))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))) (fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))) (*.f64 y y)) (/.f64 -1/9 (/.f64 y (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x))))))))
(+.f64 (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (.f64 2/9 (log.f64 y)))) (.f64 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (*.f64 2/9 (log.f64 y)))) y) (+.f64 -1/9 (/.f64 -4/81 y))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (+.f64 (.f64 -68/2187 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) (pow.f64 y 3))) (+.f64 (.f64 -1/9 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) y)) (.f64 -4/81 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) (pow.f64 y 2))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) (fma.f64 -68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) (pow.f64 y 3)) (fma.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) y) (.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (.f64 -2 (neg.f64 (log.f64 y))))) (.f64 y y))))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))) (fma.f64 -68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))) (pow.f64 y 3)) (fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))) (*.f64 y y)) (/.f64 -1/9 (/.f64 y (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 y)) (log.f64 (neg.f64 x)))))))))
(+.f64 (fma.f64 -1/9 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (.f64 2/9 (log.f64 y)))) y) (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (.f64 2/9 (log.f64 y))))) (.f64 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 (neg.f64 x)) (.f64 2/9 (log.f64 y)))) (*.f64 y y)) (+.f64 (/.f64 -68/2187 y) -4/81)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))))
(+.f64 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))) (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y))))
(fma.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (.f64 -1/9 (.f64 (cbrt.f64 (cbrt.f64 -1)) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (cbrt.f64 -1)) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y)) (.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 -1)) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y))))
(+.f64 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y))) (.f64 -4/81 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2))))))
(fma.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (fma.f64 -1/9 (.f64 (cbrt.f64 (cbrt.f64 -1)) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y)) (.f64 -4/81 (.f64 (cbrt.f64 (cbrt.f64 -1)) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (.f64 y y))))))
(fma.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (fma.f64 -4/81 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y) (/.f64 (cbrt.f64 (cbrt.f64 -1)) y)) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y) (*.f64 -1/9 (cbrt.f64 (cbrt.f64 -1))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (cbrt.f64 -1)) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) y)) (.f64 (cbrt.f64 (cbrt.f64 -1)) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) (.f64 y y))))))
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(+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) y))) (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)))
(fma.f64 -2/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) y)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) (.f64 -2/9 (/.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) y))))
(+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) y))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (+.f64 (.f64 -8/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))))))
(fma.f64 -2/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) y)) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) (.f64 y y))) -7/81)))
(fma.f64 -2/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) y)) (fma.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) y) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) -7/81 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2))))
(fma.f64 -2/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) y)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) y) -7/81) y))))
(+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) y))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)) (+.f64 (.f64 -8/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))) (+.f64 (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2) (pow.f64 y 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 136/2187 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2))) (.f64 -8/729 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)))) (pow.f64 y 3)))))))
(fma.f64 -2/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) y)) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) (+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) (.f64 y y))) -7/81) (neg.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2)) 112/2187) (pow.f64 y 3))))))
(fma.f64 -2/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) y)) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2) (.f64 y y)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -7/81)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x))) 2)) (/.f64 (pow.f64 y 3) 112/2187)))))
(+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) (.f64 -2/9 (/.f64 (exp.f64 (.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) y)))) (.f64 (.f64 (/.f64 (exp.f64 (*.f64 (fma.f64 -2 (log.f64 (/.f64 -1 y)) (log.f64 x)) 2/9)) y) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (-.f64 -7/81 (/.f64 112/2187 y))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (*.f64 y (-.f64 1 y))))) 2)
(exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 (.f64 y (-.f64 1 y)))) 2/9))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (.f64 y (-.f64 1 y))) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 y (-.f64 1 y))) (log.f64 (/.f64 -1 x))) 2/9)))

eval435.0ms (7.1%)

Compiler: Compiled 24635 to 16603 computations (32.6% saved)

prune128.0ms (2.1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	844	2	846
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	846	11	857

Error

Counts

857 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (-.f64 1 y)))
✓	31.5b	(.f64 y (.f64 y (neg.f64 x)))
▶	1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 x))) (cbrt.f64 (-.f64 1 y)))
✓	28.0b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	19.9b	(*.f64 y x)
✓	37.0b	(.f64 x (neg.f64 (.f64 y y)))
▶	52.0b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (*.f64 y y))
✓	28.9b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
✓	5.6b	(.f64 (.f64 y (-.f64 1 y)) x)
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 138 to 94 computations (31.9% saved)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2)
✓	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 y)
	11.6b	(cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))

Compiler

Compiled 89 to 51 computations (42.7% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

396×	`pow1_binary64`
379×	`add-sqr-sqrt_binary64`
371×	`*-un-lft-identity_binary64`
365×	`add-log-exp_binary64`
365×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	93	6
2	1020	6

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(cbrt.f64 y)
(cbrt.f64 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(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 (cbrt.f64 y) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 y)))))) (#(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 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 5/6) 1/3) (cbrt.f64 (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 2) 3) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) 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 (cbrt.f64 (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/9)))) (#(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 pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 y 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 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(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 (cbrt.f64 x) (pow.f64 1 1/3))))) (#(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)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(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 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/6) 1/3) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(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 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 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 (sqrt.f64 x) 2/3)))) (#(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)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

56 → 56

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.5b	(.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y))
✓	25.2b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (*.f64 y y))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
342×	`prod-diff_binary64`
301×	`pow2_binary64`
240×	`pow-unpow_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	244	19
2	3358	13

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

668×	`times-frac_binary64`
481×	`fma-neg_binary64`
465×	`cancel-sign-sub-inv_binary64`
444×	`unswap-sqr_binary64`
392×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	337
1	40	295
2	100	295
3	273	295
4	1055	295
5	4275	295

Stop Event

1×	node limit

Counts

77 → 59

Calls

Call 1

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

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

eval85.0ms (1.4%)

Compiler: Compiled 5038 to 3026 computations (39.9% saved)

prune38.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	234	2	236
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	235	12	247

Error

Counts

247 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (-.f64 1 y)))
✓	31.5b	(.f64 y (.f64 y (neg.f64 x)))
✓	1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 x))) (cbrt.f64 (-.f64 1 y)))
✓	28.0b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	19.9b	(*.f64 y x)
	61.8b	(/.f64 x y)
✓	37.0b	(.f64 x (neg.f64 (.f64 y y)))
✓	28.9b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
✓	5.6b	(.f64 (.f64 y (-.f64 1 y)) x)
	53.0b	(/.f64 (.f64 x (neg.f64 (pow.f64 y 4))) (.f64 y y))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 140 to 95 computations (32.1% saved)

regimes33.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
10.0ms	x
8.0ms	(.f64 (.f64 x y) (-.f64 1 y))

Results

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

Compiler

Compiled 217 to 127 computations (41.5% saved)

regimes44.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	y
12.0ms	x

Results

Error	Segments	Branch
2.6b	3	`x`
0.1b	3	`y`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	5.432757903941527e+29	4.048493481736099e+31
15.0ms	-3.441514478746621e+22	-24540309578325536.0

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes27.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
12.0ms	y

Results

Error	Segments	Branch
13.4b	3	`x`
1.8b	3	`y`

Compiler

Compiled 26 to 14 computations (46.2% saved)

bsearch54.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.00011185786091773426	35.42182832194534
23.0ms	-1.0023838823327393	-0.19306393393171836

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
21.0ms	y

Results

Error	Segments	Branch
17.4b	3	`x`
7.3b	3	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch60.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.00011185786091773426	35.42182832194534
30.0ms	-1.0023838823327393	-0.19306393393171836

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.2%)

Accuracy

Total -42.0b remaining (-210.5%)

Threshold costs -42.0b (-210.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 y x)

Calls

2 calls:

7.0ms	y
3.0ms	x

Results

Error	Segments	Branch
19.9b	1	`x`
19.9b	1	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	126
1	53	126
2	73	126
3	88	126
4	93	126
5	94	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) (-.f64 1 y))
(if (<=.f64 y -34415144787466210246656) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 9999999999999999635896294965248) (.f64 (.f64 y (-.f64 1 y)) x) (.f64 y (.f64 y (neg.f64 x)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 y x) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 x (neg.f64 (.f64 y y))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 y x) (.f64 x (neg.f64 (*.f64 y y)))))
(*.f64 y x)
(/.f64 x y)

Outputs
(.f64 (.f64 x y) (-.f64 1 y))
(.f64 (-.f64 1 y) (.f64 x y))
(if (<=.f64 y -34415144787466210246656) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 9999999999999999635896294965248) (.f64 (.f64 y (-.f64 1 y)) x) (.f64 y (.f64 y (neg.f64 x)))))
(if (<=.f64 y -34415144787466210246656) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 9999999999999999635896294965248) (.f64 x (.f64 y (-.f64 1 y))) (.f64 y (.f64 y (neg.f64 x)))))
(if (<=.f64 y -34415144787466210246656) (.f64 y (.f64 x (neg.f64 y))) (if (<=.f64 y 9999999999999999635896294965248) (.f64 x (.f64 y (-.f64 1 y))) (.f64 y (.f64 x (neg.f64 y)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 y x) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 x y) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 y (.f64 x (neg.f64 y))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 x y) (.f64 y (*.f64 x (neg.f64 y)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 x (neg.f64 (.f64 y y))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 y x) (.f64 x (neg.f64 (*.f64 y y)))))
(if (<=.f64 y -1128583919738979/1125899906842624) (.f64 x (.f64 y (neg.f64 y))) (if (<=.f64 y 8253653331928167/73786976294838206464) (.f64 x y) (.f64 x (*.f64 y (neg.f64 y)))))
(*.f64 y x)
(*.f64 x y)
(/.f64 x y)

Compiler

Compiled 98 to 51 computations (48% saved)

soundness494.0ms (8.1%)

Algorithm

4×	egg-herbie

Rules

601×	`fma-def_binary64`
601×	`fma-def_binary64`
396×	`unsub-neg_binary64`
396×	`unsub-neg_binary64`
387×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	38	10
3	85	10
4	194	10
5	292	10
6	451	10
7	694	10
8	1327	10
9	1405	10
10	1441	10
0	13	253
1	30	232
2	64	232
3	153	232
4	469	232
5	1733	232
6	4121	232
7	6658	232
0	7	10
1	15	10
2	38	10
3	85	10
4	194	10
5	292	10
6	451	10
7	694	10
8	1327	10
9	1405	10
10	1441	10
0	13	253
1	30	232
2	64	232
3	153	232
4	469	232
5	1733	232
6	4121	232
7	6658	232

Stop Event

1×	node limit
1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 283 to 195 computations (31.1% saved)

end107.0ms (1.7%)

Compiler: Compiled 88 to 34 computations (61.4% saved)

Details

analyze106.0ms (1.7%)

sample1.7s (27.5%)

preprocess66.0ms (1.1%)

simplify40.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite41.0ms (0.7%)

simplify186.0ms (3%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite53.0ms (0.9%)

simplify95.0ms (1.5%)

eval9.0ms (0.1%)

prune18.0ms (0.3%)

localize17.0ms (0.3%)

series12.0ms (0.2%)

rewrite109.0ms (1.8%)

simplify26.0ms (0.4%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite42.0ms (0.7%)

simplify106.0ms (1.7%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (0.7%)

simplify106.0ms (1.7%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite65.0ms (1.1%)

simplify241.0ms (3.9%)

eval45.0ms (0.7%)

prune157.0ms (2.6%)

localize36.0ms (0.6%)

series47.0ms (0.8%)

rewrite77.0ms (1.3%)

simplify58.0ms (0.9%)

localize14.0ms (0.2%)

series13.0ms (0.2%)

rewrite65.0ms (1.1%)

simplify65.0ms (1.1%)

localize12.0ms (0.2%)

series13.0ms (0.2%)

rewrite64.0ms (1.1%)

simplify79.0ms (1.3%)

localize20.0ms (0.3%)

series10.0ms (0.2%)

rewrite86.0ms (1.4%)

simplify54.0ms (0.9%)

localize46.0ms (0.8%)

series61.0ms (1%)

rewrite69.0ms (1.1%)

simplify100.0ms (1.6%)

eval435.0ms (7.1%)

prune128.0ms (2.1%)

localize36.0ms (0.6%)

series3.0ms (0.1%)

rewrite46.0ms (0.7%)

simplify8.0ms (0.1%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite61.0ms (1%)

simplify45.0ms (0.7%)

eval85.0ms (1.4%)

prune38.0ms (0.6%)

regimes33.0ms (0.5%)

regimes44.0ms (0.7%)

bsearch30.0ms (0.5%)

regimes27.0ms (0.4%)

bsearch54.0ms (0.9%)

regimes52.0ms (0.8%)

bsearch60.0ms (1%)

regimes12.0ms (0.2%)

simplify9.0ms (0.1%)

soundness494.0ms (8.1%)

end107.0ms (1.7%)

Profiling