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

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune7.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
5.0ms	(* 0.12900613773279798 (pow x 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune75.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

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)
0.1b	(* 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))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5021	462

prune65.0ms

Filtered

32 candidates to 61 candidates (-90.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize7.0ms

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))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite14.0ms

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×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log`

Counts

3 → 52

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(* 0.12900613773279798 (* x x))

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
8.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
3.0ms	(* 0.12900613773279798 (* x x))

simplify31.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4983	540
1	4983	540

prune73.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`sqrt-div`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-r`
7×	`flip3--` `associate-l` `flip--`
6×	`add-log-exp`
4×	`frac-times`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

4 → 78

Calls

4 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* 0.12900613773279798 (* x x))
5.0ms	(* 0.12900613773279798 (* x x))
12.0ms	(* (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
3.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(* 0.12900613773279798 (* x x))
9.0ms	(* (* x (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x))))) (sqrt (- 0.954929658551372 (* 0.12900613773279798 (* x x)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5039	941

prune116.0ms

Filtered

58 candidates to 90 candidates (-55.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0b

Counts

95 → 5

regimes37.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample322.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample13.0ms

simplify109.0ms

prune7.0ms

localize6.0ms

rewrite10.0ms

series13.0ms

simplify47.0ms

prune75.0ms

localize6.0ms

rewrite17.0ms

series15.0ms

simplify37.0ms

prune65.0ms

localize7.0ms

rewrite14.0ms

series16.0ms

simplify31.0ms

prune73.0ms

localize8.0ms

rewrite28.0ms

series20.0ms

simplify39.0ms

prune116.0ms

regimes37.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample322.0ms

Profiling