Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

381×

body

valid

simplify189.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
12.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series178.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
95.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify152.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	208	309
1	918	272
2	4620	271
3	5002	271

prune92.0ms

Filtered

64 candidates to 39 candidates (60.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 46

Calls

2 calls:

3.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
6.0ms	(* 0.12900613773279798 (pow x 3))

series135.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	216	235
1	1062	204
2	5001	204

prune86.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `sum-log` `*-commutative`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

3.0ms	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
20.0ms	(* (* (* 0.12900613773279798 x) x) x)
6.0ms	(* (* 0.12900613773279798 x) x)

series157.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
39.0ms	(* (* (* 0.12900613773279798 x) x) x)
24.0ms	(* (* 0.12900613773279798 x) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	254	314
1	1490	257
2	5002	239

prune89.0ms

Filtered

63 candidates to 35 candidates (55.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.2b

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`associate-r`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
7×	`add-log-exp`
5×	`pow1` `unpow-prod-down` `cube-prod`
4×	`cbrt-unprod`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `neg-sub0` `cube-mult` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `pow-prod-down` `neg-log` `flip-+`

Counts

3 → 75

Calls

3 calls:

3.0ms

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

12.0ms

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

9.0ms

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

series299.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms

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

88.0ms

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

64.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	279	498
1	1435	412
2	5001	404

prune146.0ms

Filtered

84 candidates to 48 candidates (57.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	18	5
2	18	5

end0.0ms

sample388.0ms

Algorithm

intervals

Results

260.0ms

12044×

body

valid