Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

378×

body

valid

simplify188.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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))

rewrite17.0ms

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)))
7.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series181.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
101.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms	(* 0.12900613773279798 (* x x))

simplify149.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (26.0ms)

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

prune102.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
7.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
10.0ms	(* (* 0.12900613773279798 x) x)

series182.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
96.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
25.0ms	(* (* 0.12900613773279798 x) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	305
1	1065	270
2	5001	270

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

2.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
7.0ms	(* (* x x) x)
21.0ms	(* 0.12900613773279798 (* (* x x) x))

series175.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
31.0ms	(* (* x x) x)
41.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify151.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4615	210
3	5002	206

prune97.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.2b

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

0.2b

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

3.0ms

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

8.0ms

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

12.0ms

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

series312.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms

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

67.0ms

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

91.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	241	500
1	1048	448
2	5002	399

prune146.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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	10	4
1	10	4

end0.0ms

sample386.0ms

Algorithm

intervals

Results

264.0ms

11913×

body

valid