Details

sample99.0ms

Algorithm

intervals

Results

51.0ms	105×	body	1280	valid
20.0ms	81×	body	640	valid
7.0ms	250×	body	80	nan
6.0ms	42×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	4×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

25.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
117.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify124.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	334	673
1	1078	636
2	4549	616
3	5001	613

prune194.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite44.0ms

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:

37.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	532	653
1	2211	536
2	5002	535

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
6.6b	(log (+ 1.0 x))
6.6b	(log (/ 1 (- 1.0 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
30×	`times-frac`
25×	`log-prod`
23×	`add-cube-cbrt`
13×	`add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
5×	`rem-log-exp` `associate-/r*` `add-cbrt-cube`
4×	`div-exp` `associate-/r/` `log-pow`
3×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `div-inv` `inv-pow`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `log-rec` `clear-num` `flip-+` `distribute-lft-out`

Counts

3 → 99

Calls

3 calls:

11.0ms	(/ 1 (- 1.0 x))
4.0ms	(log (+ 1.0 x))
7.0ms	(log (/ 1 (- 1.0 x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1 (- 1.0 x))
40.0ms	(log (+ 1.0 x))
64.0ms	(log (/ 1 (- 1.0 x)))

simplify141.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	371	585
1	1197	523
2	4945	470
3	5001	467

prune160.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (/ 1 (- 1.0 x))) 3)
0.1b	(cbrt (pow (log (/ 1 (- 1.0 x))) 3))
6.6b	(log (+ 1.0 x))
6.6b	(log (/ 1 (- 1.0 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`log-prod`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
16×	`pow1` `log-pow`
15×	`times-frac`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log`
5×	`pow-flip` `rem-log-exp` `add-cbrt-cube` `inv-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `pow-unpow` `distribute-lft-out--` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-exp` `log-rec` `associate-/r/` `sqr-pow`
1×	`pow-to-exp` `rec-exp` `flip3--` `pow-pow` `flip3-+` `pow1/3` `1-exp` `cube-neg` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 117

Calls

4 calls:

4.0ms	(pow (log (/ 1 (- 1.0 x))) 3)
4.0ms	(cbrt (pow (log (/ 1 (- 1.0 x))) 3))
8.0ms	(log (+ 1.0 x))
7.0ms	(log (/ 1 (- 1.0 x)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(pow (log (/ 1 (- 1.0 x))) 3)
263.0ms	(cbrt (pow (log (/ 1 (- 1.0 x))) 3))
46.0ms	(log (+ 1.0 x))
59.0ms	(log (/ 1 (- 1.0 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	609	787
1	2385	727
2	5001	713

prune227.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3335×	body	1280	valid
623.0ms	2598×	body	640	valid
220.0ms	8045×	body	80	nan
176.0ms	1250×	body	320	valid
55.0ms	631×	body	160	valid
7.0ms	186×	body	80	valid