Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

393×

body

valid

simplify190.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

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))

rewrite19.0ms

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:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
8.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
7.0ms	(* 0.12900613773279798 (* x x))

series183.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
94.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

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

prune125.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite14.0ms

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` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

6.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
7.0ms	(* 0.12900613773279798 (pow x 3))

series131.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
36.0ms	(* 0.12900613773279798 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	227	252
1	1119	222
2	5001	218

prune107.0ms

Filtered

57 candidates to 37 candidates (64.9%)

Pruning

4 alts after pruning (3 fresh and 1 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)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
8.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
9.0ms	(* (* 0.12900613773279798 x) x)

series177.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
94.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
25.0ms	(* (* 0.12900613773279798 x) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	245	449
1	1206	389
2	5002	381

prune121.0ms

Filtered

81 candidates to 49 candidates (60.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* 0.12900613773279798 x) x 0.954929658551372)
0.1b	(* (fma (* 0.12900613773279798 x) x 0.954929658551372) (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
0.2b	(* 0.12900613773279798 (pow x 2))
3.0b	(/ (* (fma (* 0.12900613773279798 x) x 0.954929658551372) (- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))) (fma (* 0.12900613773279798 x) x 0.954929658551372))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
11×	`associate-r`
6×	`pow1` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `*-commutative` `flip--` `associate-/l/` `unpow2` `sqr-pow`
1×	`pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `clear-num` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 96

Calls

4 calls:

0.0ms	(fma (* 0.12900613773279798 x) x 0.954929658551372)
8.0ms	(* (fma (* 0.12900613773279798 x) x 0.954929658551372) (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
6.0ms	(* 0.12900613773279798 (pow x 2))
7.0ms	(/ (* (fma (* 0.12900613773279798 x) x 0.954929658551372) (- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))) (fma (* 0.12900613773279798 x) x 0.954929658551372))

series326.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma (* 0.12900613773279798 x) x 0.954929658551372)
185.0ms	(* (fma (* 0.12900613773279798 x) x 0.954929658551372) (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
24.0ms	(* 0.12900613773279798 (pow x 2))
60.0ms	(/ (* (fma (* 0.12900613773279798 x) x 0.954929658551372) (- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))) (fma (* 0.12900613773279798 x) x 0.954929658551372))

simplify68.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	358	803
1	1902	692
2	5001	649

prune242.0ms

Filtered

108 candidates to 76 candidates (70.4%)

Pruning

4 alts after pruning (1 fresh and 3 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

sample383.0ms

Algorithm

intervals

Results

260.0ms

11973×

body

valid