Details

analyze103.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample696.0ms (45.7%)

Results

669.0ms	8256×	body	128	valid
15.0ms	178×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess39.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

303×	`fma-neg_binary64`
296×	`fma-def_binary64`
164×	`distribute-rgt-in_binary64`
100×	`distribute-lft-in_binary64`
92×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	23	20
2	66	20
3	150	20
4	341	20
5	493	20
6	791	20
7	1287	20
8	1603	20
9	1758	20
10	1830	20
11	1830	20
12	1830	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 x (.f64 y (-.f64 1 y)))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 (.f64 y x) (-.f64 1 x))
(.f64 y (.f64 x (-.f64 1 x)))
(.f64 x (.f64 y (-.f64 1 x)))
(.f64 x (-.f64 y (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify17.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-def_binary64`
148×	`fma-neg_binary64`
84×	`distribute-rgt-in_binary64`
51×	`cancel-sign-sub-inv_binary64`
50×	`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	449	10
7	692	10
8	1326	10
9	1402	10
10	1438	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 y (fma.f64 y (neg.f64 x) x))
(*.f64 x (fma.f64 y (neg.f64 y) y))

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	5.8b	(*.f64 x (fma.f64 y (neg.f64 y) y))
▶	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 52 to 31 computations (40.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

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	@	0	(.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))

rewrite33.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
692×	`log1p-expm1-u_binary64`
692×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	144	10
2	1833	10

Stop Event

1×	node limit

Counts

1 → 21

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

simplify33.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
330×	`associate-r_binary64`
269×	`distribute-rgt-in_binary64`
231×	`cancel-sign-sub-inv_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	232
1	41	232
2	87	232
3	203	232
4	631	232
5	1929	232
6	4328	232

Stop Event

1×	node limit

Counts

45 → 28

Calls

Call 1

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

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

prune16.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

0.0b

Counts

30 → 4

Alt Table

Status	Error	Program
	6.8b	(pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 3)
▶	5.8b	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	28.5b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)

Compiler

Compiled 354 to 219 computations (38.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 x (fma.f64 y (neg.f64 y) y))

series5.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (fma.f64 y (neg.f64 y) y))
1.0ms	y	@	-inf	(*.f64 x (fma.f64 y (neg.f64 y) y))
1.0ms	y	@	0	(*.f64 x (fma.f64 y (neg.f64 y) y))
0.0ms	x	@	inf	(*.f64 x (fma.f64 y (neg.f64 y) y))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 y (neg.f64 y) y))

rewrite27.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
462×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`
452×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	8
2	1536	8

Stop Event

1×	node limit

Counts

1 → 15

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

simplify34.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-neg_binary64`
266×	`distribute-rgt-in_binary64`
261×	`associate-l_binary64`
250×	`unswap-sqr_binary64`
233×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	232
1	30	232
2	63	232
3	151	232
4	451	232
5	1675	232
6	3890	232

Stop Event

1×	node limit

Counts

39 → 21

Calls

Call 1

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

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

prune11.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	21	4	25

Error

0.0b

Counts

25 → 4

Alt Table

Status	Error	Program
▶	6.8b	(pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 3)
✓	5.8b	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	28.5b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)

Compiler

Compiled 243 to 118 computations (51.4% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 y))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 3)
✓	5.5b	(.f64 x (.f64 y (-.f64 1 y)))
✓	12.1b	(cbrt.f64 (.f64 x (.f64 y (-.f64 1 y))))

series18.0ms (1.2%)

Counts

4 → 36

Calls

21 calls:

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

rewrite49.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
88×	`pow1_binary64`
87×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	212	39
2	2335	39

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify38.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

514×	`fma-neg_binary64`
406×	`associate-l_binary64`
325×	`distribute-rgt-in_binary64`
270×	`associate-r_binary64`
252×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	308
1	39	308
2	82	308
3	212	308
4	645	308
5	2241	308
6	4878	308

Stop Event

1×	node limit

Counts

149 → 110

Calls

Call 1

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

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

prune65.0ms (4.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	108	6	114

Error

0.0b

Counts

114 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
▶	1.2b	(pow.f64 (cbrt.f64 (.f64 y (-.f64 x (.f64 y x)))) 3)
	1.4b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) (.f64 x y))) 2)) 3) (cbrt.f64 (.f64 (-.f64 1 y) (*.f64 x y))))
	25.5b	(.f64 (sqrt.f64 (.f64 (-.f64 1 y) (.f64 x y))) (sqrt.f64 (.f64 (-.f64 1 y) (*.f64 x y))))
	24.4b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 y (-.f64 1 y))))
✓	5.8b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 1718 to 1126 computations (34.5% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y x))
✓	0.1b	(.f64 y (-.f64 x (.f64 y x)))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 y (-.f64 x (.f64 y x)))) 3)
✓	12.1b	(cbrt.f64 (.f64 y (-.f64 x (.f64 y x))))

series11.0ms (0.7%)

Counts

4 → 39

Calls

24 calls:

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

rewrite52.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
88×	`pow1_binary64`
87×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	201	39
2	2418	39

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify41.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-neg_binary64`
452×	`unsub-neg_binary64`
416×	`fma-def_binary64`
270×	`cancel-sign-sub-inv_binary64`
193×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	329
1	64	329
2	151	329
3	344	329
4	1129	329
5	2713	329
6	4713	329

Stop Event

1×	node limit

Counts

168 → 125

Calls

Call 1

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

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

prune65.0ms (4.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	123	8	131

Error

0.0b

Counts

131 → 8

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
✓	1.2b	(pow.f64 (cbrt.f64 (.f64 y (-.f64 x (.f64 y x)))) 3)
	1.1b	(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (-.f64 x (*.f64 y x))))
	1.1b	(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y x))) 2) (.f64 (cbrt.f64 (-.f64 x (.f64 y x))) y))
	25.5b	(.f64 (sqrt.f64 (.f64 (-.f64 1 y) (.f64 x y))) (sqrt.f64 (.f64 (-.f64 1 y) (*.f64 x y))))
	24.4b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 y (-.f64 1 y))))
✓	5.8b	(*.f64 x (fma.f64 y (neg.f64 y) y))
	33.5b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x (*.f64 y x))))

Compiler

Compiled 2048 to 776 computations (62.1% saved)

regimes54.0ms (3.5%)

Accuracy

Total 0.1b remaining (81.3%)

Threshold costs 0.1b (81.3%)

Counts

30 → 1

Compiler

Compiled 379 to 191 computations (49.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	19	10
4	20	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end87.0ms (5.7%)

Stop Event

1×

fuel

Compiler

Compiled 129 to 78 computations (39.5% saved)

Details

analyze103.0ms (6.8%)

sample696.0ms (45.7%)

preprocess39.0ms (2.5%)

simplify17.0ms (1.1%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite33.0ms (2.1%)

simplify33.0ms (2.2%)

prune16.0ms (1%)

localize4.0ms (0.3%)

series5.0ms (0.3%)

rewrite27.0ms (1.8%)

simplify34.0ms (2.2%)

prune11.0ms (0.7%)

localize6.0ms (0.4%)

series18.0ms (1.2%)

rewrite49.0ms (3.2%)

simplify38.0ms (2.5%)

prune65.0ms (4.3%)

localize6.0ms (0.4%)

series11.0ms (0.7%)

rewrite52.0ms (3.4%)

simplify41.0ms (2.7%)

prune65.0ms (4.3%)

regimes54.0ms (3.5%)

simplify2.0ms (0.1%)

end87.0ms (5.7%)

Profiling