Details

analyze61.0ms (0.9%)

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)

sample1.1s (16.3%)

Results

1.1s	8256×	body	256	valid
29.0ms	320×	body	256	invalid

preprocess180.0ms (2.6%)

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)

simplify32.0ms (0.5%)

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.3b	(*.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
✓	6.9b	(*.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	y	@	0	(*.f64 x (fma.f64 y (neg.f64 y) y))
1.0ms	x	@	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	x	@	inf	(*.f64 x (fma.f64 y (neg.f64 y) y))
1.0ms	y	@	-inf	(*.f64 x (fma.f64 y (neg.f64 y) y))

rewrite86.0ms (1.2%)

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))))))))

simplify70.0ms (1%)

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)

series30.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	x	@	0	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	y	@	-inf	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	x	@	-inf	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	y	@	0	(.f64 (.f64 x y) (-.f64 1 y))

rewrite65.0ms (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))))))))

simplify91.0ms (1.3%)

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)

prune14.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	37	9	46

Error

0.0b

Counts

46 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
▶	22.3b	(*.f64 y x)
	27.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
	7.3b	(.f64 (.f64 y (-.f64 1 y)) x)
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
▶	13.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
	38.3b	(.f64 x (neg.f64 (.f64 y y)))
▶	33.3b	(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3))
▶	31.1b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 177 to 122 computations (31.1% saved)

localize18.0ms (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)
✓	9.9b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series11.0ms (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)
1.0ms	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	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

rewrite68.0ms (1%)

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)))))))))

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

68 → 68

Calls

Call 1

Inputs

Outputs

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (0.6%)

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))))))))

simplify102.0ms (1.5%)

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)))

localize38.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	0.2b	(pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3)
✓	32.2b	(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series11.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3))
1.0ms	x	@	0	(pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3)
1.0ms	x	@	-inf	(pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3)
1.0ms	y	@	-inf	(pow.f64 (.f64 (.f64 x y) (-.f64 1 y)) 3)

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
869×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	23
2	2407	23

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-l_binary64`
629×	`fma-def_binary64`
597×	`unswap-sqr_binary64`
582×	`associate-r_binary64`
415×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	882
1	205	869
2	869	805
3	4974	785

Stop Event

1×	node limit

Counts

117 → 97

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 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.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 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5))))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5)))))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5))))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5)))))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3))))) (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (.f64 -1 (*.f64 (pow.f64 y 6) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))))))

Outputs
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 x (.f64 y x)))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) (.f64 (-.f64 1 y) x))))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(*.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 (.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 (.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 -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) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 y (-.f64 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 (.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 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (.f64 y y) (*.f64 x (cbrt.f64 -1)))
(.f64 y (.f64 x (*.f64 y (cbrt.f64 -1))))
(.f64 (cbrt.f64 -1) (.f64 x (*.f64 y y)))
(.f64 y (.f64 y (*.f64 x (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(+.f64 (.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(+.f64 (.f64 -1 (.f64 y (.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 y (.f64 (*.f64 (-.f64 1 y) x) (cbrt.f64 -1))))
(neg.f64 (.f64 (.f64 x (*.f64 y (cbrt.f64 -1))) (-.f64 1 y)))
(.f64 y (.f64 (-.f64 1 y) (*.f64 (cbrt.f64 -1) (neg.f64 x))))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y (+.f64 -1 y))))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 x 3) (.f64 -3 (pow.f64 y 4))))
(.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (.f64 (pow.f64 y 4) -3)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 y 5))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 3 (*.f64 (pow.f64 x 3) (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (pow.f64 y 5) (pow.f64 y 4))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (.f64 (pow.f64 x 3) -3) (-.f64 (pow.f64 y 4) (pow.f64 y 5))))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (.f64 3 (pow.f64 x 3)) (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (+.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 6))))))
(fma.f64 (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (pow.f64 y 5) (pow.f64 y 4)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) (pow.f64 y 6))))
(fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (.f64 (.f64 (pow.f64 x 3) -3) (-.f64 (pow.f64 y 4) (pow.f64 y 5))))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(*.f64 (pow.f64 x 3) (neg.f64 (pow.f64 y 6)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5)))
(fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 y 5)))
(-.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(.f64 (pow.f64 x 3) (-.f64 (.f64 3 (pow.f64 y 5)) (pow.f64 y 6)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (.f64 3 (pow.f64 x 3)) (pow.f64 y 5))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (-.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (.f64 (pow.f64 x 3) (pow.f64 y 6))))
(-.f64 (.f64 (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (pow.f64 y 5) (pow.f64 y 4))) (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(-.f64 (.f64 (.f64 (pow.f64 x 3) -3) (-.f64 (pow.f64 y 4) (pow.f64 y 5))) (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (.f64 3 (pow.f64 x 3)) (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (+.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 6))))))
(fma.f64 (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (pow.f64 y 5) (pow.f64 y 4)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) (pow.f64 y 6))))
(fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (.f64 (.f64 (pow.f64 x 3) -3) (-.f64 (pow.f64 y 4) (pow.f64 y 5))))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(*.f64 (pow.f64 x 3) (neg.f64 (pow.f64 y 6)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3))))) (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 y 5)))
(-.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(.f64 (pow.f64 x 3) (-.f64 (.f64 3 (pow.f64 y 5)) (pow.f64 y 6)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (.f64 -1 (*.f64 (pow.f64 y 6) (pow.f64 x 3)))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (.f64 3 (pow.f64 x 3)) (pow.f64 y 5))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (-.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (.f64 (pow.f64 x 3) (pow.f64 y 6))))
(-.f64 (.f64 (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (pow.f64 y 5) (pow.f64 y 4))) (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(-.f64 (.f64 (.f64 (pow.f64 x 3) -3) (-.f64 (pow.f64 y 4) (pow.f64 y 5))) (*.f64 (pow.f64 x 3) (pow.f64 y 6)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3))))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 y 6)) (.f64 (.f64 3 (pow.f64 x 3)) (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) -3) (+.f64 (.f64 3 (.f64 (pow.f64 x 3) (pow.f64 y 5))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 6))))))
(fma.f64 (.f64 (pow.f64 x 3) -3) (fma.f64 -1 (pow.f64 y 5) (pow.f64 y 4)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) (pow.f64 y 6))))
(fma.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) (pow.f64 y 6)) (.f64 (.f64 (pow.f64 x 3) -3) (-.f64 (pow.f64 y 4) (pow.f64 y 5))))

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 y 3))
✓	1.5b	(.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y))
✓	11.4b	(/.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)

series12.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y 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))
1.0ms	y	@	inf	(.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y))

rewrite135.0ms (1.9%)

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	43
1	268	43
2	3664	43

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 (pow.f64 y 3))

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

566×	`distribute-rgt-in_binary64`
556×	`fma-def_binary64`
540×	`distribute-lft-in_binary64`
413×	`associate--r-_binary64`
381×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	810
1	198	756
2	800	660
3	3259	660

Stop Event

1×	node limit

Counts

216 → 179

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 (*.f64 -1 (pow.f64 y 3)))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(*.f64 -1 (pow.f64 y 3))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))
(+.f64 1 (*.f64 -1 (pow.f64 y 3)))

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

eval255.0ms (3.7%)

Compiler: Compiled 7191 to 4240 computations (41% saved)

prune202.0ms (2.9%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	402	6	408
Fresh	0	3	3
Picked	0	1	1
Done	1	4	5
Total	403	14	417

Error

0.0b

Counts

417 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.2b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
✓	22.3b	(*.f64 y x)
✓	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
▶	46.1b	(cbrt.f64 (pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
▶	25.3b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
	27.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
	7.3b	(.f64 (.f64 y (-.f64 1 y)) x)
▶	1.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (-.f64 1 y)))
✓	13.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
	9.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
▶	38.3b	(.f64 x (neg.f64 (.f64 y y)))
	1.8b	(.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)))))
✓	31.1b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 310 to 213 computations (31.3% saved)

localize43.0ms (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)
✓	9.9b	(cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))
✓	9.9b	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 85 to 50 computations (41.2% saved)

series15.0ms (0.2%)

Counts

4 → 16

Calls

24 calls:

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

rewrite122.0ms (1.8%)

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))))))

simplify61.0ms (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))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.4b	(.f64 x (neg.f64 (.f64 y y)))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.6%)

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))))))))

simplify103.0ms (1.5%)

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)))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3)
	12.4b	(.f64 x (neg.f64 (.f64 y y)))
✓	30.0b	(cbrt.f64 (pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`pow1_binary64`
627×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	196	17
2	2201	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3))
(pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3)

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

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

711×	`unswap-sqr_binary64`
645×	`associate-l_binary64`
510×	`distribute-rgt-neg-in_binary64`
507×	`cancel-sign-sub-inv_binary64`
501×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	564
1	46	564
2	132	564
3	491	564
4	2666	564
5	5549	564

Stop Event

1×	node limit

Counts

112 → 70

Calls

Call 1

Inputs
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) x))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 6) (pow.f64 x 3)))

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 y))
✓	1.3b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
✓	3.3b	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series14.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
2.0ms	x	@	0	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))
1.0ms	y	@	0	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))
1.0ms	y	@	-inf	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
861×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	185	29
2	2340	29

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-neg_binary64`
582×	`unswap-sqr_binary64`
557×	`fma-def_binary64`
415×	`distribute-rgt-neg-in_binary64`
320×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	498
1	65	444
2	196	444
3	577	444
4	1526	444
5	4051	444

Stop Event

1×	node limit

Counts

98 → 67

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))
✓	9.4b	(sqrt.f64 (*.f64 x y))

Compiler

Compiled 36 to 14 computations (61.1% saved)

series11.0ms (0.2%)

Counts

3 → 24

Calls

18 calls:

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

rewrite61.0ms (0.9%)

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))))))))

simplify78.0ms (1.1%)

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)))

eval97.0ms (1.4%)

Compiler: Compiled 5992 to 3278 computations (45.3% saved)

prune57.0ms (0.8%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	4	4
Picked	0	1	1
Done	1	8	9
Total	373	14	387

Error

0.0b

Counts

387 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	22.3b	(*.f64 y x)
▶	51.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (neg.f64 y))))
✓	46.1b	(cbrt.f64 (pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	25.3b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
▶	27.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
▶	7.3b	(.f64 (.f64 y (-.f64 1 y)) x)
✓	1.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (-.f64 1 y)))
✓	13.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
▶	9.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
✓	38.3b	(.f64 x (neg.f64 (.f64 y y)))
▶	1.8b	(.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)))))
✓	31.1b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 252 to 174 computations (31% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
✓	0.7b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) 3)
	9.9b	(cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))

Compiler

Compiled 85 to 59 computations (30.6% saved)

series73.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) 3)
8.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) 3)
8.0ms	x	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) 3)
5.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))))
5.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) 3)

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
291×	`pow2_binary64`
247×	`pow-unpow_binary64`
203×	`pow-to-exp_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	274	46
2	3049	45

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))) 2) 3)
(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 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y 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(*.f64 (-.f64 1 y) (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 8)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/6) (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4) 5/6) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 8))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/9 (log.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (*.f64 y x)) 1/18) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 y) (*.f64 y x))) 1/3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))) 3/2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (*.f64 y x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (-.f64 1 y) (*.f64 y x)))) 1) 1/3))))))

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac_binary64`
688×	`distribute-rgt-in_binary64`
394×	`fma-def_binary64`
328×	`associate-r_binary64`
289×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	5597
1	1078	5054
2	4300	4203

Stop Event

1×	node limit

Counts

189 → 204

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6) (.f64 (+.f64 (.f64 -2/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 -4/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6))) y))
(+.f64 (.f64 (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.f64 (.f64 8/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.f64 (.f64 4/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.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 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6) (.f64 (+.f64 (.f64 -2/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 -4/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6))) y)))
(+.f64 (.f64 (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.f64 (.f64 8/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.f64 (.f64 4/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.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 (pow.f64 y 3) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4) (+.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))))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.f64 (.f64 4/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.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)))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4) (+.f64 (.f64 -136/2187 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 8/729 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.f64 (.f64 -2/9 (.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.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))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.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)))))))))))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6) (.f64 (+.f64 (.f64 -2/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 -4/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6))) y))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) 6)
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(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y))))))
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(+.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))))))
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(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)
(+.f64 (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2))
(+.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)) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)))
(+.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)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (.f64 -2/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) 2) y)))
(+.f64 (.f64 1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (+.f64 (.f64 -8/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 y 2))) (.f64 -2/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) 2) y)))))
(+.f64 (.f64 -136/2187 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 y 3))) (+.f64 (.f64 1/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 y 2))) (+.f64 (.f64 8/729 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 y 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (+.f64 (.f64 -8/81 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -2 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 y 2))) (.f64 -2/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -2 (log.f64 (/.f64 1 y)))))) 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 (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
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) 6)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6) (.f64 (+.f64 (.f64 -2/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 -4/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6))) y))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) 6) (.f64 y (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) 6) -2/3)))
(fma.f64 y (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) 6) -2/3) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 y) (log.f64 x))) 6))
(+.f64 (.f64 (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.f64 (.f64 8/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.f64 (.f64 4/81 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 4)) (+.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 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2)) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 2) (+.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 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6) (.f64 (+.f64 (.f64 -2/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6)) (.f64 -4/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 y) (log.f64 x)))) 6))) y)))
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(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)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 1 y))
✓	6.9b	(.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)

rewrite48.0ms (0.7%)

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))))))))

simplify89.0ms (1.3%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (neg.f64 y))))
✓	4.4b	(.f64 (sqrt.f64 x) (.f64 y (neg.f64 y)))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
600×	`add-log-exp_binary64`
599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	165	16
2	2143	16

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-neg_binary64`
627×	`fma-def_binary64`
462×	`*-commutative_binary64`
440×	`distribute-lft-neg-in_binary64`
430×	`unswap-sqr_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	34	348
2	84	348
3	240	348
4	904	348
5	1532	348
6	2530	348
7	3004	348
8	3931	348
9	4527	348
10	5060	276
11	5987	276
12	7750	276

Stop Event

1×	node limit

Counts

65 → 34

Calls

Call 1

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

localize34.0ms (0.5%)

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)
✓	9.4b	(sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series12.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

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

rewrite61.0ms (0.9%)

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))))))))

simplify47.0ms (0.7%)

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)))

localize39.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 y))
✓	0.1b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
✓	0.1b	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

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

rewrite112.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	185	28
2	2331	28

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-def_binary64`
714×	`distribute-rgt-out_binary64`
702×	`fma-neg_binary64`
589×	`associate-l_binary64`
431×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	493
1	117	488
2	321	475
3	966	459
4	3793	459
5	5889	459
6	7204	459

Stop Event

1×	node limit

Counts

97 → 74

Calls

Call 1

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

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

eval504.0ms (7.2%)

Compiler: Compiled 16578 to 11902 computations (28.2% saved)

prune162.0ms (2.3%)

Pruning

15 alts after pruning (2 fresh and 13 done)

	Pruned	Kept	Total
New	566	2	568
Fresh	0	0	0
Picked	0	1	1
Done	1	12	13
Total	567	15	582

Error

Counts

582 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	22.3b	(*.f64 y x)
✓	51.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (neg.f64 y))))
✓	46.1b	(cbrt.f64 (pow.f64 (.f64 x (neg.f64 (.f64 y y))) 3))
	27.2b	(.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)))))
✓	7.3b	(.f64 (.f64 y (-.f64 1 y)) x)
	9.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (pow.f64 (pow.f64 (-.f64 1 y) 1/4) 2))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	25.3b	(.f64 (.f64 (-.f64 1 y) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	27.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
✓	1.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (-.f64 1 y)))
✓	13.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
✓	9.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
✓	38.3b	(.f64 x (neg.f64 (.f64 y y)))
✓	31.1b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 203 to 137 computations (32.5% saved)

regimes117.0ms (1.7%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(.f64 (.f64 x y) (-.f64 1 y))
19.0ms	y
19.0ms	x

Results

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

Compiler

Compiled 240 to 137 computations (42.9% saved)

regimes108.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.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:

82.0ms	x
24.0ms	y

Results

Error	Segments	Branch
2.5b	3	`x`
0.1b	3	`y`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.4170329266833038e+62	2.3963549375007396e+63
31.0ms	-50554366478291380.0	-12611482176999740.0

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes51.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.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:

28.0ms	y
21.0ms	x

Results

Error	Segments	Branch
10.7b	3	`x`
1.8b	3	`y`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch58.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.014842649333539487	1403.6532139269002
27.0ms	-326215.46631252294	-0.07029278406266053

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes60.0ms (0.9%)

Accuracy

Total -42.7b remaining (-470.9%)

Threshold costs -42.7b (-470.9%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.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:

42.0ms	y
17.0ms	x

Results

Error	Segments	Branch
17.9b	3	`x`
9.1b	3	`y`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch63.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.014842649333539487	1403.6532139269002
32.0ms	-326215.46631252294	-0.07029278406266053

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify172.0ms (2.5%)

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	31	122
1	52	122
2	72	122
3	87	122
4	92	122
5	93	122

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) (-.f64 1 y))
(if (<=.f64 y -50554366478291376) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 1000000000000000057857959942726969827393378689175040438172647424) (.f64 (.f64 y (-.f64 1 y)) x) (.f64 y (.f64 y (neg.f64 x)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 273798553631618560/18446744073709551616) (.f64 y x) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 x (neg.f64 (.f64 y y))) (if (<=.f64 y 273798553631618560/18446744073709551616) (.f64 y x) (.f64 x (neg.f64 (*.f64 y y)))))
(*.f64 y x)

Outputs
(.f64 (.f64 x y) (-.f64 1 y))
(.f64 (-.f64 1 y) (.f64 x y))
(if (<=.f64 y -50554366478291376) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 1000000000000000057857959942726969827393378689175040438172647424) (.f64 (.f64 y (-.f64 1 y)) x) (.f64 y (.f64 y (neg.f64 x)))))
(if (<=.f64 y -50554366478291376) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 1000000000000000057857959942726969827393378689175040438172647424) (.f64 x (.f64 y (-.f64 1 y))) (.f64 y (.f64 y (neg.f64 x)))))
(if (<=.f64 y -50554366478291376) (.f64 y (.f64 x (neg.f64 y))) (if (<=.f64 y 1000000000000000057857959942726969827393378689175040438172647424) (.f64 x (.f64 y (-.f64 1 y))) (.f64 y (.f64 x (neg.f64 y)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 273798553631618560/18446744073709551616) (.f64 y x) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 534762800061755/36028797018963968) (.f64 x y) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 y (.f64 x (neg.f64 y))) (if (<=.f64 y 534762800061755/36028797018963968) (.f64 x y) (.f64 y (*.f64 x (neg.f64 y)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 x (neg.f64 (.f64 y y))) (if (<=.f64 y 273798553631618560/18446744073709551616) (.f64 y x) (.f64 x (neg.f64 (*.f64 y y)))))
(if (<=.f64 y -5604339037046703/17179869184) (.f64 x (.f64 y (neg.f64 y))) (if (<=.f64 y 534762800061755/36028797018963968) (.f64 x y) (.f64 x (*.f64 y (neg.f64 y)))))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 93 to 48 computations (48.4% saved)

soundness575.0ms (8.3%)

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)

end49.0ms (0.7%)

Compiler: Compiled 85 to 33 computations (61.2% saved)