Details

sample84.0ms

Algorithm

intervals

Results

45.0ms	111×	body	1280	valid
18.0ms	83×	body	640	valid
5.0ms	42×	body	320	valid
5.0ms	242×	body	80	nan
1.0ms	15×	body	160	valid
0.0ms	5×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify129.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune172.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series650.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
128.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
124.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify128.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	375	1218
1	1044	1148
2	4435	1096
3	5001	1094

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
3.8b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
106×	`log-prod`
85×	`times-frac`
74×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
35×	`distribute-lft-out`
20×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out--` `difference-of-squares`
14×	`add-exp-log`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div` `sum-cubes`
4×	`flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`div-exp` `div-inv`

Counts

4 → 150

Calls

4 calls:

8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
16.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
6.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
309.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
71.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
68.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify56.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	583	1627
1	1722	1533
2	5001	1473

prune559.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes45.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3431×	body	1280	valid
548.0ms	2507×	body	640	valid
172.0ms	7905×	body	80	nan
153.0ms	1209×	body	320	valid
48.0ms	641×	body	160	valid
7.0ms	212×	body	80	valid