Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4916	9
1	4916	9

prune12.0ms

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: 0.3b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.3b	(* 0.12900613773279798 (* (* 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`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
5.0ms	(* (* x x) x)
8.0ms	(* 0.12900613773279798 (* (* x x) x))

series16.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
3.0ms	(* (* x x) x)
4.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5541	413

prune76.0ms

Filtered

35 candidates to 69 candidates (-97.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
7.0ms	(* (* 0.12900613773279798 (* x x)) x)
5.0ms	(* 0.12900613773279798 (* x x))

series15.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
4.0ms	(* (* 0.12900613773279798 (* x x)) x)
3.0ms	(* 0.12900613773279798 (* x x))

simplify55.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4908	462
1	4908	462

prune66.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Merged error: 0.0b

Counts

65 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.3b	(* 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`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 42

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4944	393
1	4944	393

prune59.0ms

Filtered

29 candidates to 48 candidates (-65.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	48	4	52

Merged error: 0.0b

Counts

52 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x (* 0.954929658551372 0.954929658551372)))
0.2b	(* x (* 0.954929658551372 0.954929658551372))
0.3b	(* 0.12900613773279798 (pow x 3))
27.3b	(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`times-frac` `associate-l` `pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `frac-2neg` `flip3-+` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 103

Calls

4 calls:

7.0ms	(* x (* x (* 0.954929658551372 0.954929658551372)))
5.0ms	(* x (* 0.954929658551372 0.954929658551372))
6.0ms	(* 0.12900613773279798 (pow x 3))
13.0ms	(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x (* 0.954929658551372 0.954929658551372)))
2.0ms	(* x (* 0.954929658551372 0.954929658551372))
4.0ms	(* 0.12900613773279798 (pow x 3))
19.0ms	(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5000	1630

prune193.0ms

Filtered

72 candidates to 115 candidates (-59.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	114	5	119

Merged error: 0.0b

Counts

119 → 5

regimes72.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	92	11
1	92	11

end0.0ms

sample323.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid

Details

analyze4.0ms

sample13.0ms

simplify102.0ms

prune12.0ms

localize6.0ms

rewrite19.0ms

series16.0ms

simplify40.0ms

prune76.0ms

localize6.0ms

rewrite17.0ms

series15.0ms

simplify55.0ms

prune66.0ms

localize8.0ms

rewrite11.0ms

series12.0ms

simplify38.0ms

prune59.0ms

localize15.0ms

rewrite35.0ms

series27.0ms

simplify65.0ms

prune193.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample323.0ms

Profiling