Details

analyze144.0ms (7.4%)

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)

sample799.0ms (41.3%)

Results

762.0ms	8256×	body	128	valid
20.0ms	177×	body	128	invalid

preprocess44.0ms (2.3%)

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)

simplify18.0ms (0.9%)

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))

eval1.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	4.1b	(*.f64 x (fma.f64 y (neg.f64 y) y))
▶	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

Compiler

Compiled 36 to 22 computations (38.9% 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	y	@	0	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	x	@	inf	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	x	@	0	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	y	@	inf	(.f64 (.f64 x y) (-.f64 1 y))
1.0ms	y	@	-inf	(.f64 (.f64 x y) (-.f64 1 y))

rewrite36.0ms (1.9%)

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)))))))))

simplify36.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

367×	`fma-neg_binary64`
350×	`associate-l_binary64`
242×	`unswap-sqr_binary64`
229×	`cancel-sign-sub-inv_binary64`
222×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	232
1	34	232
2	83	232
3	189	232
4	580	232
5	1887	232
6	3861	232

Stop Event

1×	node limit

Counts

45 → 27

Calls

Call 1

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

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

eval10.0ms (0.5%)

Compiler: Compiled 274 to 165 computations (39.8% saved)

prune19.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Error

0.0b

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	4.1b	(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
▶	0.1b	(*.f64 y (fma.f64 y (neg.f64 x) x))
	27.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)
	5.9b	(/.f64 (.f64 (.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 y 1))

Compiler

Compiled 98 to 66 computations (32.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(*.f64 y (fma.f64 y (neg.f64 x) x))
1.0ms	y	@	0	(*.f64 y (fma.f64 y (neg.f64 x) x))
1.0ms	x	@	-inf	(*.f64 y (fma.f64 y (neg.f64 x) x))
1.0ms	x	@	inf	(*.f64 y (fma.f64 y (neg.f64 x) x))
1.0ms	y	@	-inf	(*.f64 y (fma.f64 y (neg.f64 x) x))

rewrite33.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`pow1_binary64`
478×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`
467×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	8
2	1537	8

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

Outputs

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

simplify36.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
393×	`fma-def_binary64`
358×	`unsub-neg_binary64`
305×	`difference-of-squares_binary64`
268×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	295
1	47	274
2	124	232
3	351	232
4	1103	232
5	2482	232
6	4430	232

Stop Event

1×	node limit

Counts

39 → 22

Calls

Call 1

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

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

eval4.0ms (0.2%)

Compiler: Compiled 190 to 79 computations (58.4% saved)

prune15.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.1b	(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
✓	0.1b	(*.f64 y (fma.f64 y (neg.f64 x) x))
	27.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)
	5.9b	(/.f64 (.f64 (.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 y 1))

Compiler

Compiled 89 to 61 computations (31.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
✓	9.2b	(*.f64 (pow.f64 y 2) x)

series7.0ms (0.4%)

Counts

2 → 15

Calls

12 calls:

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

rewrite48.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`
101×	`pow1_binary64`
100×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	212	18
2	2787	18

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify36.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

644×	`fma-neg_binary64`
304×	`cancel-sign-sub-inv_binary64`
298×	`difference-of-squares_binary64`
281×	`fma-def_binary64`
252×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
1	44	142
2	112	142
3	299	142
4	1036	142
5	2645	142
6	4539	142

Stop Event

1×	node limit

Counts

79 → 70

Calls

Call 1

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

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

eval13.0ms (0.7%)

Compiler: Compiled 1030 to 332 computations (67.8% saved)

prune73.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Error

0.0b

Counts

74 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(+.f64 (.f64 y x) (.f64 -1 (pow.f64 (*.f64 y (sqrt.f64 x)) 2)))
▶	0.5b	(+.f64 (.f64 y x) (.f64 -1 (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)))
✓	4.1b	(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
✓	0.1b	(*.f64 y (fma.f64 y (neg.f64 x) x))
	27.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)
	13.9b	(+.f64 (.f64 y x) (.f64 -1 (cbrt.f64 (pow.f64 (.f64 y (.f64 y x)) 3))))
	5.9b	(/.f64 (.f64 (.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 y 1))

Compiler

Compiled 168 to 112 computations (33.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 -1 (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)))
✓	0.2b	(.f64 y (.f64 y x))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
✓	19.9b	(cbrt.f64 (.f64 y (.f64 y x)))

series17.0ms (0.9%)

Counts

4 → 48

Calls

24 calls:

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

rewrite57.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
105×	`add-sqr-sqrt_binary64`
100×	`pow1_binary64`
99×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	236	34
2	2871	34

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify44.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

644×	`fma-neg_binary64`
316×	`cancel-sign-sub-inv_binary64`
298×	`difference-of-squares_binary64`
283×	`fma-def_binary64`
253×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	463
1	47	400
2	118	400
3	303	400
4	1054	400
5	2664	400
6	4543	400

Stop Event

1×	node limit

Counts

203 → 150

Calls

Call 1

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

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

eval32.0ms (1.7%)

Compiler: Compiled 2468 to 890 computations (63.9% saved)

prune333.0ms (17.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	148	9	157

Error

Counts

157 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(+.f64 (.f64 y x) (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 (cbrt.f64 (.f64 y x)) y))))
	27.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (-.f64 1 y)))) 2)
✓	0.5b	(+.f64 (.f64 y x) (.f64 -1 (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)))
	4.4b	(+.f64 (.f64 y x) (.f64 -1 (.f64 (.f64 (*.f64 y y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
✓	4.1b	(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
✓	0.1b	(*.f64 y (fma.f64 y (neg.f64 x) x))
	0.6b	(+.f64 (.f64 y x) (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 2)))))
	13.9b	(+.f64 (.f64 y x) (.f64 -1 (cbrt.f64 (pow.f64 (.f64 y (.f64 y x)) 3))))
	5.9b	(/.f64 (.f64 (.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 y 1))

Compiler

Compiled 155 to 91 computations (41.3% saved)

regimes25.0ms (1.3%)

Accuracy

Total -49.7b remaining (-47146.6%)

Threshold costs -49.7b (-47146.6%)

Counts

12 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
7.0ms	0.1b	1	`x`
8.0ms	0.1b	1	`y`
6.0ms	0.1b	1	`(.f64 (.f64 x y) (-.f64 1 y))`

Compiler

Compiled 180 to 89 computations (50.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	13	10
3	14	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end14.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 18 to 10 computations (44.4% saved)

Details

analyze144.0ms (7.4%)

sample799.0ms (41.3%)

preprocess44.0ms (2.3%)

simplify18.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite36.0ms (1.9%)

simplify36.0ms (1.9%)

eval10.0ms (0.5%)

prune19.0ms (1%)

localize4.0ms (0.2%)

series9.0ms (0.5%)

rewrite33.0ms (1.7%)

simplify36.0ms (1.9%)

eval4.0ms (0.2%)

prune15.0ms (0.8%)

localize6.0ms (0.3%)

series7.0ms (0.4%)

rewrite48.0ms (2.5%)

simplify36.0ms (1.9%)

eval13.0ms (0.7%)

prune73.0ms (3.8%)

localize8.0ms (0.4%)

series17.0ms (0.9%)

rewrite57.0ms (2.9%)

simplify44.0ms (2.3%)

eval32.0ms (1.7%)

prune333.0ms (17.2%)

regimes25.0ms (1.3%)

simplify2.0ms (0.1%)

end14.0ms (0.7%)

Profiling