Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

367×

body

valid

simplify187.0ms

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: 0.0b

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)

rewrite19.0ms

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:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
8.0ms	(* 0.12900613773279798 (* (* x x) x))
6.0ms	(* (* x x) x)

series168.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
35.0ms	(* 0.12900613773279798 (* (* x x) x))
35.0ms	(* (* x x) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

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

prune120.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite10.0ms

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:

1.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
8.0ms	(* (- 0.12900613773279798) (pow x 3))

series125.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
36.0ms	(* (- 0.12900613773279798) (pow x 3))

simplify31.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

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

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series124.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify34.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	225	321
1	1006	278
2	5001	267

prune84.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

0.2b

(* (sqrt 0.12900613773279798) (* x x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

5.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

11.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

7.0ms

(* (sqrt 0.12900613773279798) (* x x))

series289.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

73.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

44.0ms

(* (sqrt 0.12900613773279798) (* x x))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	296	671
1	1332	516
2	5002	451

prune156.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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

sample392.0ms

Algorithm

intervals

Results

272.0ms

11954×

body

valid