Details

sample55.0ms

Algorithm

intervals

Results

30.0ms	66×	body	1280	valid
11.0ms	56×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	93×	body	80	valid
1.0ms	94×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize3.0ms

Local error

Found 1 expressions with local error:

4.5b	(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×	`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:

2.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(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

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 112

Calls

1 calls:

31.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	535	648
1	2311	536
2	5001	535

prune263.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (+ 1.0 x)))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))

rewrite9.0ms

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)))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series286.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (log (+ 1.0 x)))
42.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))

simplify112.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (106.0ms)

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

prune205.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))
4.6b	(log (sqrt (+ 1.0 x)))
4.6b	(log (sqrt (+ 1.0 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`*-un-lft-identity`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
8×	`add-exp-log` `log-div` `sqrt-prod` `log-pow`
4×	`expm1-log1p-u` `flip3-+` `sqrt-div` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2`

Counts

4 → 78

Calls

4 calls:

2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))
84.0ms	(log (sqrt (+ 1.0 x)))
85.0ms	(log (sqrt (+ 1.0 x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	216	512
1	583	462
2	2262	444
3	5001	434

prune261.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes92.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 22.1b

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

983.0ms	2202×	body	1280	valid
360.0ms	1705×	body	640	valid
87.0ms	817×	body	320	valid
66.0ms	2865×	body	80	valid
36.0ms	2667×	body	80	nan
25.0ms	411×	body	160	valid