Details

sample68.0ms

Algorithm

intervals

Results

43.0ms	91×	body	1280	valid
11.0ms	53×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	80×	body	80	valid
1.0ms	86×	body	80	nan
0.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 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: 41.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.4b	(log (+ 1.0 x))

rewrite4.0ms

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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune48.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.2b

Counts

21 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
20.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
49.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune262.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	6	133

Merged error: 0.2b

Counts

133 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.2b	(pow (log (+ 1.0 x)) 3)
2.4b	(log (+ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 69

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
2.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))

series228.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
137.0ms	(pow (log (+ 1.0 x)) 3)
47.0ms	(log (+ 1.0 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	422	449
1	1720	429
2	5001	421

prune122.0ms

Filtered

78 candidates to 46 candidates (59.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	78	6	84

Merged error: 0.2b

Counts

84 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
2.4b	(log (+ 1.0 x))
2.4b	(log (+ 1.0 x))
2.4b	(log (+ 1.0 x))

rewrite11.0ms

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` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 65

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))

series267.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (log (+ 1.0 x)))
44.0ms	(log (+ 1.0 x))
39.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))

simplify116.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	321	470
1	1028	431
2	4280	399
3	5001	396

prune165.0ms

Filtered

77 candidates to 63 candidates (81.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	77	6	83

Merged error: 0.1b

Counts

83 → 6

regimes91.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

982.0ms	2296×	body	1280	valid
336.0ms	1682×	body	640	valid
89.0ms	816×	body	320	valid
60.0ms	2832×	body	80	valid
34.0ms	2703×	body	80	nan
22.0ms	374×	body	160	valid

Details

sample68.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series42.0ms

simplify42.0ms

prune48.0ms

localize10.0ms

rewrite31.0ms

series96.0ms

simplify58.0ms

prune262.0ms

localize6.0ms

rewrite9.0ms

series228.0ms

simplify44.0ms

prune122.0ms

localize7.0ms

rewrite11.0ms

series267.0ms

simplify116.0ms

prune165.0ms

regimes91.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.7s

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