Details

analyze93.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	7
60.7%	53.1%	34.3%	0.1%	12.5%	0%	0%	8
71.2%	57.8%	23.4%	0.1%	18.7%	0%	0%	9
77.9%	63.2%	18%	0.1%	18.7%	0%	0%	10
84.5%	66%	12.1%	0.1%	21.9%	0%	0%	11
88.3%	68.9%	9.2%	0.1%	21.9%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (18.1%)

Results

1.1s	8256×	body	256	valid
31.0ms	351×	body	256	infinite

Bogosity

preprocess78.0ms (1.3%)

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)

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
▶	6.3b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite145.0ms (2.4%)

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))))))))

simplify72.0ms (1.2%)

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)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite186.0ms (3%)

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))))))))

simplify86.0ms (1.4%)

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))

eval10.0ms (0.2%)

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

prune42.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Error

0.0b

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
▶	20.2b	(*.f64 y x)
	27.2b	(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 2)
▶	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
▶	6.3b	(.f64 (.f64 y (-.f64 1 y)) x)
▶	37.6b	(.f64 x (neg.f64 (.f64 y y)))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
▶	31.3b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 135 to 92 computations (31.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
679×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	144	17
2	1839	17

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(.f64 y (.f64 (-.f64 1 y) x))
(*.f64 (-.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 (pow.f64 (exp.f64 x) (-.f64 1 y)) 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 y 3) (pow.f64 (*.f64 (-.f64 1 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) (pow.f64 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))))))))

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
437×	`cancel-sign-sub-inv_binary64`
292×	`distribute-rgt-neg-out_binary64`
287×	`associate-l_binary64`
282×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	224
1	31	206
2	76	188
3	156	188
4	449	188
5	1602	188
6	3481	188
7	6697	188

Stop Event

1×	node limit

Counts

56 → 43

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

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
✓	11.1b	(.f64 x (neg.f64 (.f64 y y)))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite375.0ms (6.1%)

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))))))))

simplify144.0ms (2.4%)

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)))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (1.1%)

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))))))))

simplify139.0ms (2.3%)

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)))

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 y))
✓	5.9b	(.f64 (.f64 y (-.f64 1 y)) x)

Compiler

Compiled 20 to 12 computations (40% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite102.0ms (1.7%)

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	17
1	144	17
2	1831	17

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

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))))))))

((#(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 y) (-.f64 1 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))))))))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
493×	`distribute-rgt-neg-in_binary64`
380×	`unswap-sqr_binary64`
380×	`unsub-neg_binary64`
365×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	380
1	39	308
2	87	308
3	206	308
4	644	308
5	1499	308
6	2797	308
7	5357	308

Stop Event

1×	node limit

Counts

68 → 43

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

eval27.0ms (0.4%)

Compiler: Compiled 1033 to 590 computations (42.9% saved)

prune18.0ms (0.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	114	9	123

Error

0.0b

Counts

123 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	20.2b	(*.f64 y x)
✓	37.6b	(.f64 x (neg.f64 (.f64 y y)))
▶	32.3b	(.f64 y (log1p.f64 (expm1.f64 (.f64 (-.f64 1 y) x))))
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
▶	49.1b	(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
✓	6.3b	(.f64 (.f64 y (-.f64 1 y)) x)
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	31.3b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 81 to 55 computations (32.1% saved)

localize142.0ms (2.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	18.3b	(.f64 (pow.f64 y 4) (.f64 x x))
✓	20.0b	(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))

Compiler

Compiled 26 to 13 computations (50% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (pow.f64 y 4) (.f64 x x))
1.0ms	y	@	0	(.f64 (pow.f64 y 4) (.f64 x x))
1.0ms	y	@	inf	(.f64 (pow.f64 y 4) (.f64 x x))
1.0ms	x	@	inf	(.f64 (pow.f64 y 4) (.f64 x x))
0.0ms	y	@	0	(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
632×	`add-log-exp_binary64`
632×	`log1p-expm1-u_binary64`
632×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	166	17
2	1878	17

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
(.f64 (pow.f64 y 4) (.f64 x x))

Outputs

((#(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 (*.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 (*.f64 y y) x)))) (#(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 (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 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 y 4) x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 y 8)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 y 8))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 y 4) x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 4) (*.f64 x x)) 1/2)))) (#(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 fabs.f64 (*.f64 x (*.f64 y y)))))) (#(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))))))))

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

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
607×	`unswap-sqr_binary64`
331×	`neg-sub0_binary64`
327×	`fma-neg_binary64`
324×	`neg-mul-1_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	416
1	28	416
2	69	416
3	229	416
4	1240	416
5	2750	392
6	3287	392
7	4001	392
8	5371	392
9	6184	392
10	7251	392

Stop Event

1×	node limit

Counts

86 → 44

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(.f64 -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 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))

Outputs
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) 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 y (neg.f64 (.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 y (neg.f64 (.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 y (neg.f64 (.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 y (neg.f64 (.f64 y x)))
(.f64 y (.f64 y (neg.f64 x)))
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)
(*.f64 (pow.f64 y 4) (pow.f64 x 2))
(.f64 (pow.f64 y 4) (.f64 x x))
(.f64 x (.f64 x (pow.f64 y 4)))
(pow.f64 (*.f64 y (sqrt.f64 x)) 4)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 (-.f64 1 y) x))
	0.0b	(*.f64 (-.f64 1 y) x)
✓	0.0b	(.f64 y (log1p.f64 (expm1.f64 (.f64 (-.f64 1 y) x))))
✓	0.5b	(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(expm1.f64 (*.f64 (-.f64 1 y) x))
1.0ms	x	@	0	(expm1.f64 (*.f64 (-.f64 1 y) x))
1.0ms	y	@	0	(expm1.f64 (*.f64 (-.f64 1 y) x))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))
0.0ms	y	@	-inf	(expm1.f64 (*.f64 (-.f64 1 y) x))

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
745×	`expm1-log1p-u_binary64`
744×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
729×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	164	26
2	1986	26

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))
(.f64 y (log1p.f64 (expm1.f64 (.f64 (-.f64 1 y) x))))
(expm1.f64 (*.f64 (-.f64 1 y) x))

Outputs

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

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

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

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
442×	`associate-+l+_binary64`
418×	`associate-l_binary64`
411×	`fma-def_binary64`
394×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	854
1	201	803
2	631	752
3	3068	740

Stop Event

1×	node limit

Counts

136 → 94

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.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)))
(.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 (exp.f64 x) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 y (*.f64 (exp.f64 x) x))) (exp.f64 x)) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 y (.f64 (exp.f64 x) x))) (exp.f64 x))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 y (.f64 (exp.f64 x) x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(*.f64 (-.f64 1 y) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 y) 2) (pow.f64 x 2))) (*.f64 (-.f64 1 y) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 y) 2) (pow.f64 x 2))) (*.f64 (-.f64 1 y) x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (-.f64 1 y) 4) (pow.f64 x 4))) (*.f64 (-.f64 1 y) x))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)

Outputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 y x)
(*.f64 x 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) y))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 x (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 x (.f64 y (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 (.f64 (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) y))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 x (.f64 y y)))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 x (.f64 y (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 (.f64 (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) 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 x (fma.f64 y (neg.f64 y) y))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (*.f64 (exp.f64 x) x))) (exp.f64 x)) 1)
(+.f64 (.f64 (neg.f64 y) (.f64 x (exp.f64 x))) (expm1.f64 x))
(fma.f64 (neg.f64 y) (*.f64 x (exp.f64 x)) (expm1.f64 x))
(fma.f64 (*.f64 y (neg.f64 x)) (exp.f64 x) (expm1.f64 x))
(fma.f64 y (*.f64 x (neg.f64 (exp.f64 x))) (expm1.f64 x))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 y (.f64 (exp.f64 x) x))) (exp.f64 x))) 1)
(+.f64 (.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (.f64 x x)))) (+.f64 (.f64 (neg.f64 y) (*.f64 x (exp.f64 x))) (expm1.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 x (.f64 x (exp.f64 x)))) (fma.f64 (neg.f64 y) (*.f64 x (exp.f64 x)) (expm1.f64 x)))
(+.f64 (expm1.f64 x) (.f64 (exp.f64 x) (-.f64 (.f64 (.f64 x x) (.f64 y (.f64 y 1/2))) (.f64 x y))))
(+.f64 (expm1.f64 x) (.f64 (.f64 x (exp.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 y 1/2)) x) y)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 y (.f64 (exp.f64 x) x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (exp.f64 x)))) 1)
(+.f64 (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (.f64 x x))) (fma.f64 -1 (.f64 y (.f64 x (exp.f64 x))) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 x 3))) (exp.f64 x)))) -1)
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 x (.f64 x (exp.f64 x)))) (+.f64 (fma.f64 (neg.f64 y) (.f64 x (exp.f64 x)) (.f64 (.f64 (exp.f64 x) (pow.f64 x 3)) (.f64 -1/6 (pow.f64 y 3)))) (expm1.f64 x)))
(+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 x (exp.f64 x)) (.f64 x 1/2)) (.f64 (exp.f64 x) (+.f64 (.f64 y (neg.f64 x)) (.f64 (pow.f64 y 3) (.f64 -1/6 (pow.f64 x 3)))))) (expm1.f64 x))
(+.f64 (expm1.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 x (-.f64 (.f64 (.f64 y (*.f64 y 1/2)) x) y)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (.f64 (+.f64 1 (.f64 -1 y)) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(*.f64 (-.f64 1 y) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 y) 2) (pow.f64 x 2))) (*.f64 (-.f64 1 y) x))
(fma.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 y) 2)) (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) (.f64 1/2 (.f64 (*.f64 x x) (pow.f64 (-.f64 1 y) 2))))
(.f64 x (+.f64 (-.f64 1 y) (.f64 (pow.f64 (-.f64 1 y) 2) (*.f64 1/2 x))))
(.f64 x (+.f64 (-.f64 1 y) (.f64 x (*.f64 1/2 (pow.f64 (-.f64 1 y) 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 y) 2) (pow.f64 x 2))) (*.f64 (-.f64 1 y) x)))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)) (fma.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 y) 2)) (.f64 x (-.f64 1 y))))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)) (fma.f64 x (-.f64 1 y) (.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 y) 2)))))
(fma.f64 x (-.f64 1 y) (.f64 (.f64 x x) (+.f64 (.f64 1/2 (pow.f64 (-.f64 1 y) 2)) (.f64 x (*.f64 1/6 (pow.f64 (-.f64 1 y) 3))))))
(-.f64 x (.f64 x (-.f64 y (.f64 x (+.f64 (.f64 1/2 (pow.f64 (-.f64 1 y) 2)) (.f64 x (*.f64 1/6 (pow.f64 (-.f64 1 y) 3))))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 1 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (-.f64 1 y) 4) (pow.f64 x 4))) (*.f64 (-.f64 1 y) x))))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)) (fma.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 y) 2)) (fma.f64 1/24 (.f64 (pow.f64 (-.f64 1 y) 4) (pow.f64 x 4)) (*.f64 x (-.f64 1 y)))))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)) (fma.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 1 y) 2)) (fma.f64 (.f64 1/24 (pow.f64 (-.f64 1 y) 4)) (pow.f64 x 4) (-.f64 x (*.f64 x y)))))
(fma.f64 (pow.f64 x 3) (.f64 1/6 (pow.f64 (-.f64 1 y) 3)) (fma.f64 1/24 (.f64 (pow.f64 (-.f64 1 y) 4) (pow.f64 x 4)) (.f64 x (+.f64 (-.f64 1 y) (.f64 (pow.f64 (-.f64 1 y) 2) (*.f64 1/2 x))))))
(fma.f64 (pow.f64 x 3) (.f64 1/6 (pow.f64 (-.f64 1 y) 3)) (fma.f64 1/24 (.f64 (pow.f64 (-.f64 1 y) 4) (pow.f64 x 4)) (.f64 x (+.f64 (-.f64 1 y) (.f64 x (*.f64 1/2 (pow.f64 (-.f64 1 y) 2)))))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))
(-.f64 (exp.f64 (*.f64 (-.f64 1 y) x)) 1)
(expm1.f64 (*.f64 x (-.f64 1 y)))
(expm1.f64 (-.f64 x (*.f64 x y)))
(expm1.f64 (fma.f64 x (neg.f64 y) x))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	11.6b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series13.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite96.0ms (1.6%)

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)))))))))

simplify12.0ms (0.2%)

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

eval471.0ms (7.7%)

Compiler: Compiled 3271 to 2050 computations (37.3% saved)

prune150.0ms (2.5%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	250	6	256
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	251	14	265

Error

Counts

265 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) 3)
✓	20.2b	(*.f64 y x)
▶	8.9b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
✓	6.3b	(.f64 (.f64 y (-.f64 1 y)) x)
	32.7b	(.f64 y (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (-.f64 1 y) x))) 3)))
▶	36.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
▶	37.7b	(pow.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 y y)))) 3)
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
✓	49.1b	(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
▶	50.4b	(.f64 (.f64 y y) x)
▶	40.9b	(.f64 y (log1p.f64 (expm1.f64 (.f64 x (neg.f64 y)))))
✓	37.6b	(.f64 x (neg.f64 (.f64 y y)))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	31.3b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 210 to 145 computations (31% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series16.0ms (0.3%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	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	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	x	@	-inf	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

rewrite96.0ms (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 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))
(sqrt.f64 (-.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 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 (*.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 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))))))

simplify122.0ms (2%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-def_binary64`
715×	`distribute-rgt-out_binary64`
702×	`fma-neg_binary64`
581×	`associate-l_binary64`
430×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	493
1	117	488
2	321	475
3	964	459
4	3792	459
5	5885	459
6	7200	459

Stop Event

1×	node limit

Counts

97 → 74

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.1b	(.f64 (.f64 y y) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
428×	`*-un-lft-identity_binary64`
420×	`add-log-exp_binary64`
420×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1205	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 y y) 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 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 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))))))))

simplify271.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	12	168
2	23	168
3	44	168
4	105	168
5	332	168
6	1258	168
7	2133	168
8	2297	168
9	2481	168
10	2689	168
11	2985	168
12	3378	168
13	3859	168
14	4425	168
15	5113	168
16	5948	168
17	6336	168
18	6624	168
19	6900	168
20	6970	168
21	7006	168
22	7947	168

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 x (neg.f64 y)))
✓	0.0b	(.f64 y (log1p.f64 (expm1.f64 (.f64 x (neg.f64 y)))))
✓	0.7b	(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 y))))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(expm1.f64 (*.f64 x (neg.f64 y)))
1.0ms	x	@	0	(expm1.f64 (*.f64 x (neg.f64 y)))
1.0ms	x	@	0	(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 y))))
1.0ms	y	@	0	(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 y))))
1.0ms	y	@	inf	(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 y))))

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
534×	`add-log-exp_binary64`
534×	`expm1-log1p-u_binary64`
533×	`log1p-expm1-u_binary64`
522×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	145	17
2	1800	17

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 y))))
(.f64 y (log1p.f64 (expm1.f64 (.f64 x (neg.f64 y)))))
(expm1.f64 (*.f64 x (neg.f64 y)))

Outputs

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

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
675×	`cancel-sign-sub-inv_binary64`
665×	`distribute-rgt-neg-in_binary64`
576×	`distribute-lft-neg-in_binary64`
528×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	692
1	93	692
2	269	674
3	1151	662
4	4171	656

Stop Event

1×	node limit

Counts

132 → 72

Calls

Call 1

Inputs
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)

Outputs
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 y)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 x x)) (neg.f64 (.f64 y x)))
(-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) 1/2)) (*.f64 y x))
(.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) 1/2)) y))
(.f64 y (-.f64 (.f64 1/2 (.f64 x (.f64 y x))) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 x x)) (neg.f64 (*.f64 y x))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) 1/2)) (.f64 y x)))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 x (.f64 (*.f64 y y) 1/2)) y)))
(.f64 x (-.f64 (.f64 x (fma.f64 x (.f64 -1/6 (pow.f64 y 3)) (.f64 y (*.f64 y 1/2)))) y))
(fma.f64 x (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) y) (.f64 -1/6 (pow.f64 (*.f64 y x) 3)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 x x)) (neg.f64 (.f64 y x)))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) 1/2)) (*.f64 y x))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) 1/2)) y))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x (fma.f64 x (.f64 -1/6 (pow.f64 y 3)) (.f64 y (.f64 y 1/2)))) y)))
(fma.f64 x (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) y) (fma.f64 -1/6 (pow.f64 (.f64 y x) 3) (.f64 1/24 (pow.f64 (.f64 y x) 4))))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 x x)) (neg.f64 (.f64 y x)))
(-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) 1/2)) (*.f64 y x))
(.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) 1/2)) y))
(.f64 y (-.f64 (.f64 1/2 (.f64 x (.f64 y x))) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 x x)) (neg.f64 (*.f64 y x))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) 1/2)) (.f64 y x)))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 x (.f64 (*.f64 y y) 1/2)) y)))
(.f64 x (-.f64 (.f64 x (fma.f64 x (.f64 -1/6 (pow.f64 y 3)) (.f64 y (*.f64 y 1/2)))) y))
(fma.f64 x (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) y) (.f64 -1/6 (pow.f64 (*.f64 y x) 3)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (.f64 y x)))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 x x)) (neg.f64 (.f64 y x)))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) 1/2)) (*.f64 y x))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) 1/2)) y))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x (fma.f64 x (.f64 -1/6 (pow.f64 y 3)) (.f64 y (.f64 y 1/2)))) y)))
(fma.f64 x (-.f64 (.f64 x (.f64 y (.f64 y 1/2))) y) (fma.f64 -1/6 (pow.f64 (.f64 y x) 3) (.f64 1/24 (pow.f64 (.f64 y x) 4))))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (.f64 -1 (.f64 y x))) 1)
(expm1.f64 (neg.f64 (*.f64 y x)))
(expm1.f64 (*.f64 x (neg.f64 y)))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 y y)))) 3)
	11.1b	(.f64 x (neg.f64 (.f64 y y)))
✓	20.6b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y y))))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series12.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite84.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
620×	`add-log-exp_binary64`
619×	`log1p-expm1-u_binary64`
619×	`expm1-log1p-u_binary64`
604×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	194	16
2	2137	16

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs

Outputs

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 1 y))
✓	1.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
✓	1.7b	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series13.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (sqrt.f64 x) (.f64 y (-.f64 1 y)))
2.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
1.0ms	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)))

rewrite86.0ms (1.4%)

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	22
1	185	22
2	2340	22

Stop Event

1×	node limit

Counts

2 → 31

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))))

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)))))))))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-neg_binary64`
581×	`unswap-sqr_binary64`
548×	`fma-def_binary64`
404×	`distribute-rgt-neg-in_binary64`
310×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	413
1	60	386
2	194	368
3	566	368
4	1486	368
5	3855	368

Stop Event

1×	node limit

Counts

67 → 43

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)))

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

eval343.0ms (5.6%)

Compiler: Compiled 4133 to 2195 computations (46.9% saved)

prune81.0ms (1.3%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	331	2	333
Fresh	0	1	1
Picked	1	0	1
Done	2	10	12
Total	334	13	347

Error

Counts

347 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.9b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
✓	6.3b	(.f64 (.f64 y (-.f64 1 y)) x)
	32.7b	(.f64 y (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (-.f64 1 y) x))) 3)))
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
	51.4b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (neg.f64 y))))
	31.6b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y (neg.f64 x)))) 3)
✓	49.1b	(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
✓	50.4b	(.f64 (.f64 y y) x)
✓	20.2b	(*.f64 y x)
✓	40.9b	(.f64 y (log1p.f64 (expm1.f64 (.f64 x (neg.f64 y)))))
✓	37.6b	(.f64 x (neg.f64 (.f64 y y)))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	31.3b	(.f64 y (.f64 y (neg.f64 x)))

Compiler

Compiled 127 to 86 computations (32.3% saved)

regimes74.0ms (1.2%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(.f64 (.f64 y y) x)
(.f64 x (neg.f64 (.f64 y y)))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 y (.f64 (-.f64 1 y) x))
(.f64 (.f64 y (-.f64 1 y)) x)
(.f64 (.f64 x y) (-.f64 1 y))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(.f64 y (log1p.f64 (expm1.f64 (.f64 x (neg.f64 y)))))
(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 y (.f64 y (neg.f64 x)))) 3)
(pow.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 y y)))) 3)
(.f64 y (log1p.f64 (expm1.f64 (.f64 (-.f64 1 y) x))))
(.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)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 y (-.f64 1 y))))
(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
(.f64 y (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (-.f64 1 y) x))) 3)))

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

Calls

4 calls:

18.0ms	y
17.0ms	x
16.0ms	(.f64 (.f64 x y) (-.f64 1 y))
15.0ms	(.f64 (.f64 x y) (-.f64 1 y))

Results

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

Compiler

Compiled 183 to 100 computations (45.4% saved)

regimes49.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

26.0ms	x
20.0ms	y

Results

Error	Segments	Branch
10.2b	3	`x`
1.9b	3	`y`

Compiler

Compiled 28 to 14 computations (50% saved)

bsearch51.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.6951948352754024	39.39146250589612
23.0ms	-1.331863686544641	-6.434267664672868e-6

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes57.0ms (0.9%)

Counts

3 → 3

Calls

Call 1

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

35.0ms	x
21.0ms	y

Results

Error	Segments	Branch
15.9b	3	`x`
8.1b	3	`y`

Compiler

Compiled 22 to 11 computations (50% saved)

bsearch52.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.6951948352754024	39.39146250589612
23.0ms	-1.331863686544641	-6.434267664672868e-6

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.2%)

Accuracy

Total -30.2b remaining (-149.3%)

Threshold costs -30.2b (-149.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 y x)

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
20.2b	1	`x`
20.2b	1	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-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	23	82
1	43	82
2	63	82
3	78	82
4	83	82
5	84	82

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 y (.f64 (-.f64 1 y) x))
(if (<=.f64 y -1499545200607685/1125899906842624) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 6261758402192391/9007199254740992) (.f64 y x) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -1499545200607685/1125899906842624) (.f64 x (neg.f64 (.f64 y y))) (if (<=.f64 y 6261758402192391/9007199254740992) (.f64 y x) (.f64 x (neg.f64 (*.f64 y y)))))
(*.f64 y x)

Outputs
(.f64 y (.f64 (-.f64 1 y) x))
(if (<=.f64 y -1499545200607685/1125899906842624) (.f64 y (.f64 y (neg.f64 x))) (if (<=.f64 y 6261758402192391/9007199254740992) (.f64 y x) (.f64 y (*.f64 y (neg.f64 x)))))
(if (<=.f64 y -1499545200607685/1125899906842624) (.f64 (.f64 y x) (neg.f64 y)) (if (<=.f64 y 6261758402192391/9007199254740992) (.f64 y x) (.f64 (*.f64 y x) (neg.f64 y))))
(if (<=.f64 y -1499545200607685/1125899906842624) (.f64 x (neg.f64 (.f64 y y))) (if (<=.f64 y 6261758402192391/9007199254740992) (.f64 y x) (.f64 x (neg.f64 (*.f64 y y)))))
(if (<=.f64 y -1499545200607685/1125899906842624) (.f64 x (.f64 y (neg.f64 y))) (if (<=.f64 y 6261758402192391/9007199254740992) (.f64 y x) (.f64 x (*.f64 y (neg.f64 y)))))
(*.f64 y x)

Compiler

Compiled 64 to 32 computations (50% saved)

soundness0.0ms (0%)

end48.0ms (0.8%)

Compiler: Compiled 58 to 23 computations (60.3% saved)