Details

sample23.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 16.647339%

Guaranteed chance to sample good point: 99.992677%

Results

8.0ms	256×	body	80	valid
1.0ms	53×	body	80	invalid

simplify191.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify144.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	190	227
1	849	198
2	4408	197
3	5001	197

prune65.0ms

Filtered

28 candidates to 49 candidates (-75.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	9	51

Merged error: 0b

Counts

51 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (neg (* 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:

4.0ms	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
6.0ms	(* 0.12900613773279798 (pow x 3))

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x 0.954929658551372) (neg (* 0.12900613773279798 (pow x 3))))
4.0ms	(* 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

prune67.0ms

Filtered

31 candidates to 52 candidates (-67.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (neg (* (* 0.12900613773279798 x) (* x x))))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* x 0.954929658551372) (neg (* (* 0.12900613773279798 x) (* x x))))
7.0ms	(* (* 0.12900613773279798 x) (* x x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x 0.954929658551372) (neg (* (* 0.12900613773279798 x) (* x x))))
4.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	218	242
1	1031	193
2	5002	180

prune41.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	43	6	49

Merged error: 0b

Counts

49 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
0.3b	(* (sqrt 0.12900613773279798) x)
0.3b	(* (sqrt 0.12900613773279798) x)
0.4b	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
23×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
5×	`unswap-sqr`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `associate-*r/`
1×	`pow2` `flip3--` `swap-sqr` `flip--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

5.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
6.0ms	(* (sqrt 0.12900613773279798) x)
5.0ms	(* (sqrt 0.12900613773279798) x)
9.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

series30.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
4.0ms	(* (sqrt 0.12900613773279798) x)
4.0ms	(* (sqrt 0.12900613773279798) x)
7.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	239	525
1	1234	441
2	5002	428

prune119.0ms

Filtered

62 candidates to 115 candidates (-85.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	115	6	121

Merged error: 0b

Counts

121 → 6

regimes39.0ms

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	16	5
1	18	5
2	18	5

end0.0ms

sample442.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 16.647339%

Guaranteed chance to sample good point: 99.992677%

Results

226.0ms	8000×	body	80	valid
63.0ms	1897×	body	80	invalid

Details

sample23.0ms

simplify191.0ms

prune6.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify144.0ms

prune65.0ms

localize9.0ms

rewrite11.0ms

series13.0ms

simplify40.0ms

prune67.0ms

localize8.0ms

rewrite12.0ms

series12.0ms

simplify43.0ms

prune41.0ms

localize7.0ms

rewrite28.0ms

series30.0ms

simplify45.0ms

prune119.0ms

regimes39.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample442.0ms

Profiling