Details

sample61.0ms

Algorithm

intervals

Results

33.0ms	69×	body	1280	valid
11.0ms	49×	body	640	valid
3.0ms	101×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	101×	body	80	nan
1.0ms	15×	body	160	valid

simplify4.0ms

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: 36.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.9b	(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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

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

prune41.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.2b

Counts

19 → 4

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:

19.0ms	(* 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))))

series94.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 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))))

simplify77.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	676	882
1	2962	760
2	5001	756

prune240.0ms

Filtered

132 candidates to 81 candidates (61.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	5	136

Merged error: 0.2b

Counts

136 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`add-exp-log` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series330.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
48.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	438	840
1	1662	774
2	5002	664

prune203.0ms

Filtered

102 candidates to 67 candidates (65.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	102	5	107

Merged error: 0.1b

Counts

107 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cbrt (log (+ 1.0 x))) 6))
0.6b	(pow (cbrt (log (+ 1.0 x))) 6)
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (pow (cbrt (log (+ 1.0 x))) 6))
3.0ms	(pow (cbrt (log (+ 1.0 x))) 6)
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series560.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (pow (cbrt (log (+ 1.0 x))) 6))
281.0ms	(pow (cbrt (log (+ 1.0 x))) 6)
40.0ms	(log (+ 1.0 x))
45.0ms	(log (+ 1.0 x))

simplify67.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	653	847
1	2713	761
2	5001	737

prune205.0ms

Filtered

83 candidates to 57 candidates (68.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	83	5	88

Merged error: 0.1b

Counts

88 → 5

regimes106.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

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

1.1s	2292×	body	1280	valid
378.0ms	1619×	body	640	valid
109.0ms	856×	body	320	valid
81.0ms	2793×	body	80	valid
51.0ms	2764×	body	80	nan
32.0ms	440×	body	160	valid