Details

sample69.0ms

Algorithm

intervals

Results

41.0ms	80×	body	1280	valid
11.0ms	47×	body	640	valid
3.0ms	25×	body	320	valid
2.0ms	91×	body	80	valid
1.0ms	74×	body	80	nan
1.0ms	13×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 38.7b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	128	97
1	354	87
2	1280	81
3	5001	78

prune39.0ms

Filtered

18 candidates to 13 candidates (27.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify76.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	676	880
1	2962	757
2	5001	753

prune217.0ms

Filtered

132 candidates to 81 candidates (38.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Merged error: 0.0b

Counts

135 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.2b	(log (sqrt (+ 1.0 x)))
3.2b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
9.0ms	(log (sqrt (+ 1.0 x)))

simplify119.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	265	550
1	904	520
2	3891	506
3	5001	494

prune157.0ms

Filtered

84 candidates to 64 candidates (23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
3.2b	(log (+ 1.0 x))
3.2b	(log (+ 1.0 x))
3.2b	(log (+ 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series20.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify102.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	314	466
1	989	422
2	4150	369
3	5001	367

prune141.0ms

Filtered

69 candidates to 50 candidates (27.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

regimes163.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	2271×	body	1280	valid
391.0ms	1706×	body	640	valid
99.0ms	815×	body	320	valid
74.0ms	2787×	body	80	valid
50.0ms	2709×	body	80	nan
29.0ms	421×	body	160	valid

Details

sample69.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite3.0ms

series3.0ms

simplify39.0ms

prune39.0ms

localize10.0ms

rewrite34.0ms

series10.0ms

simplify76.0ms

prune217.0ms

localize6.0ms

rewrite16.0ms

series22.0ms

simplify119.0ms

prune157.0ms

localize7.0ms

rewrite12.0ms

series20.0ms

simplify102.0ms

prune141.0ms

regimes163.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling