Details

sample60.0ms

Algorithm

intervals

Results

31.0ms	65×	body	1280	valid
12.0ms	53×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	90×	body	80	valid
2.0ms	75×	body	80	nan
1.0ms	20×	body	160	valid

simplify7.0ms

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 (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: 38.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b	(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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune37.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.1b

Counts

19 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

20.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series101.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
45.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 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	882
1	2962	760
2	5001	756

prune228.0ms

Filtered

132 candidates to 81 candidates (61.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0.1b

Counts

135 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (+ 1.0 x)))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))
5.6b	(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))

series290.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (log (+ 1.0 x)))
47.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))
45.0ms	(log (+ 1.0 x))

simplify109.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	306	453
1	946	413
2	3951	376
3	5002	368

prune140.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	69	3	72

Merged error: 0.1b

Counts

72 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (exp (cbrt (log (+ 1.0 x)))))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`log-prod`
12×	`log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`add-exp-log` `exp-prod`
6×	`log-div`
4×	`cbrt-prod` `rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 64

Calls

4 calls:

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

series291.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(log (exp (cbrt (log (+ 1.0 x)))))
47.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))
48.0ms	(log (+ 1.0 x))

simplify109.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	334	495
1	984	445
2	4011	408
3	5001	400

prune177.0ms

Filtered

76 candidates to 56 candidates (73.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	76	3	79

Merged error: 0.1b

Counts

79 → 3

regimes77.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	2236×	body	1280	valid
377.0ms	1627×	body	640	valid
100.0ms	814×	body	320	valid
82.0ms	2880×	body	80	valid
60.0ms	2821×	body	80	nan
33.0ms	443×	body	160	valid