Details

analyze114.0ms (7%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample694.0ms (42.8%)

Results

668.0ms	8256×	body	128	valid
14.0ms	177×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess41.0ms (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)

simplify20.0ms (1.2%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	4.3b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 52 to 31 computations (40.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (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))

rewrite35.0ms (2.2%)

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 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)))))))) (#(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))))))

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 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)))))))) (#(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))))))

simplify35.0ms (2.1%)

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))

prune20.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Error

0.0b

Counts

30 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	32.7b	(cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 3))
	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
	11.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
▶	4.3b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 396 to 245 computations (38.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.0b	(*.f64 x (fma.f64 y (neg.f64 y) y))

series4.0ms (0.3%)

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	@	-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))

rewrite28.0ms (1.7%)

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

simplify35.0ms (2.1%)

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)))

prune14.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Error

0.0b

Counts

26 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	32.7b	(cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 3))
▶	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
	11.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
✓	4.3b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 285 to 144 computations (49.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 y y))
✓	0.1b	(.f64 (-.f64 1 (.f64 y y)) (*.f64 x y))
✓	7.1b	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))

series12.0ms (0.7%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
1.0ms	x	@	inf	(.f64 (-.f64 1 (.f64 y y)) (*.f64 x y))

rewrite61.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

314×	`prod-diff_binary64`
267×	`fma-def_binary64`
194×	`log1p-udef_binary64`
193×	`expm1-udef_binary64`
150×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	224	30
2	3289	30

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

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

simplify35.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-def_binary64`
364×	`times-frac_binary64`
277×	`distribute-rgt-in_binary64`
251×	`distribute-lft-in_binary64`
247×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	612
1	79	612
2	197	612
3	549	612
4	1939	612

Stop Event

1×	node limit

Counts

202 → 162

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

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

prune126.0ms (7.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	159	8	167

Error

0.0b

Counts

167 → 8

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	26.2b	(pow.f64 (sqrt.f64 (.f64 (-.f64 1 y) (.f64 y x))) 2)
▶	1.1b	(pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x))) 3)
	32.7b	(cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 3))
✓	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
	11.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 y 3)) (.f64 x y)) (+.f64 1 (fma.f64 y y y)))
	10.3b	(/.f64 (*.f64 (-.f64 y (pow.f64 y 3)) x) (+.f64 1 y))
✓	4.3b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 2895 to 1503 computations (48.1% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 1 y) (.f64 y x))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x))) 3)
✓	9.5b	(cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x)))

series20.0ms (1.2%)

Counts

3 → 16

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (-.f64 1 y) (.f64 y x))
3.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x))) 3)
2.0ms	y	@	-inf	(cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x)))
1.0ms	x	@	-inf	(cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x)))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) (.f64 y x))) 3)

rewrite49.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`log1p-expm1-u_binary64`
856×	`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	32
1	212	32
2	2332	32

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

simplify30.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	152
1	30	152
2	63	152
3	151	152
4	447	152
5	1675	152
6	3888	152

Stop Event

1×	node limit

Counts

112 → 85

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)

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

prune62.0ms (3.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	1	4
Picked	1	0	1
Done	0	3	3
Total	86	7	93

Error

Counts

93 → 7

Alt Table

Status	Error	Program
	25.3b	(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (-.f64 1 y)))
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))
	0.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (.f64 (cbrt.f64 (-.f64 1 y)) (*.f64 y x)))
	32.7b	(cbrt.f64 (pow.f64 (.f64 x (.f64 y (-.f64 1 y))) 3))
✓	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y y)) (*.f64 x y)) (+.f64 y 1))
	1.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y)))) 2))) (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x (-.f64 1 y))))))
✓	4.3b	(*.f64 x (fma.f64 y (neg.f64 y) y))

Compiler

Compiled 1304 to 873 computations (33.1% saved)

regimes65.0ms (4%)

Accuracy

Total 0.1b remaining (78.5%)

Threshold costs 0.1b (78.5%)

Counts

36 → 1

Compiler

Compiled 446 to 263 computations (41% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	16	13
2	25	13
3	36	13
4	41	13
5	44	13
6	45	13

Stop Event

1×

saturated

Calls

Call 1

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

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

end89.0ms (5.5%)

Stop Event

1×

fuel

Compiler

Compiled 133 to 86 computations (35.3% saved)

Details

analyze114.0ms (7%)

sample694.0ms (42.8%)

preprocess41.0ms (2.5%)

simplify20.0ms (1.2%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite35.0ms (2.2%)

simplify35.0ms (2.1%)

prune20.0ms (1.2%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite28.0ms (1.7%)

simplify35.0ms (2.1%)

prune14.0ms (0.9%)

localize7.0ms (0.4%)

series12.0ms (0.7%)

rewrite61.0ms (3.8%)

simplify35.0ms (2.2%)

prune126.0ms (7.8%)

localize6.0ms (0.4%)

series20.0ms (1.2%)

rewrite49.0ms (3%)

simplify30.0ms (1.9%)

prune62.0ms (3.8%)

regimes65.0ms (4%)

simplify2.0ms (0.1%)

end89.0ms (5.5%)

Profiling