Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

392×

body

valid

simplify191.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	4
8	5001	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
48.0ms	(* 0.12900613773279798 (* (* x x) x))
18.0ms	(* (* x x) x)

series161.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
34.0ms	(* 0.12900613773279798 (* (* x x) x))
34.0ms	(* (* x x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	241	310
1	969	249
2	5001	241

prune112.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
0.1b	(* (- 0.12900613773279798) (pow x 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-r`
10×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`distribute-lft-neg-out` `cube-mult` `pow-to-exp` `neg-mul-1` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 51

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
16.0ms	(* (- 0.12900613773279798) (pow x 3))

series116.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
36.0ms	(* (- 0.12900613773279798) (pow x 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	254
1	832	231
2	5001	231

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 73

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
17.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
16.0ms	(* 0.12900613773279798 (* x x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
94.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
27.0ms	(* 0.12900613773279798 (* x x))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	247	453
1	1096	392
2	5001	378

prune125.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(fma 0.954929658551372 x (* (- (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (pow x 3))))

0.2b

(* (sqrt 0.12900613773279798) (pow x 3))

0.2b

(* (- (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (pow x 3)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`associate-l`
18×	`add-exp-log`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `sqrt-prod`
10×	`prod-exp` `add-cbrt-cube`
8×	`unswap-sqr`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow1` `unpow-prod-down` `cube-prod`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`distribute-lft-neg-out` `cube-mult` `neg-mul-1` `unpow3` `pow-prod-down` `fma-udef`

Counts

3 → 85

Calls

3 calls:

0.0ms

(fma 0.954929658551372 x (* (- (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (pow x 3))))

15.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

35.0ms

(* (- (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (pow x 3)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms

(fma 0.954929658551372 x (* (- (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (pow x 3))))

64.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

94.0ms

(* (- (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (pow x 3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	254	544
1	1276	477
2	5001	476

prune182.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	15	4
2	16	4
3	16	4

end0.0ms

sample437.0ms

Algorithm

intervals

Results

258.0ms

12172×

body

valid