Details

sample89.0ms

Algorithm

intervals

Results

42.0ms	97×	body	1280	valid
21.0ms	86×	body	640	valid
7.0ms	261×	body	80	nan
6.0ms	42×	body	320	valid
2.0ms	27×	body	160	valid
0.0ms	4×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 59.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
8.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite22.0ms

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×	`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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
121.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify140.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune145.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 0.1b

Counts

94 → 3

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.1b

Counts

3 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
8.1b	(log (/ 1 (+ 1.0 eps)))
8.1b	(log (- 1.0 eps))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
46×	`log-prod`
36×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
13×	`pow1`
9×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 142

Calls

4 calls:

11.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
9.0ms	(/ 1 (+ 1.0 eps))
5.0ms	(log (/ 1 (+ 1.0 eps)))
4.0ms	(log (- 1.0 eps))

series489.0ms

Counts

4 → 12

Calls

4 calls:

353.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
22.0ms	(/ 1 (+ 1.0 eps))
72.0ms	(log (/ 1 (+ 1.0 eps)))
42.0ms	(log (- 1.0 eps))

simplify47.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	495	892
1	1641	793
2	5002	705

prune211.0ms

Filtered

154 candidates to 98 candidates (63.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	153	4	157

Merged error: 0.1b

Counts

157 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (+ (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))))
1.5b	(log (/ 1 (+ (pow 1.0 3) (pow eps 3))))
8.1b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
8.1b	(log (- 1.0 eps))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
46×	`log-prod`
33×	`distribute-lft-out`
27×	`times-frac`
25×	`add-sqr-sqrt`
22×	`pow1`
21×	`add-cube-cbrt`
19×	`log-pow`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log`
10×	`log-div`
6×	`rem-log-exp`
5×	`associate-+r-` `associate-+l+` `add-log-exp`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
3×	`associate-+l-` `sum-log` `sum-cubes`
2×	`flip3--` `div-exp` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `rec-exp` `associate-+r+` `pow-flip` `1-exp` `log-rec` `div-inv` `inv-pow`

Counts

4 → 124

Calls

4 calls:

12.0ms	(+ (log (- 1.0 eps)) (+ (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))))
13.0ms	(log (/ 1 (+ (pow 1.0 3) (pow eps 3))))
8.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
4.0ms	(log (- 1.0 eps))

series649.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(+ (log (- 1.0 eps)) (+ (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))))
310.0ms	(log (/ 1 (+ (pow 1.0 3) (pow eps 3))))
62.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
44.0ms	(log (- 1.0 eps))

simplify72.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	663	1431
1	2389	1266
2	5002	1248

prune314.0ms

Filtered

136 candidates to 86 candidates (63.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	136	4	140

Merged error: 0.1b

Counts

140 → 4

regimes20.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3417×	body	1280	valid
645.0ms	2439×	body	640	valid
240.0ms	8277×	body	80	nan
193.0ms	1246×	body	320	valid
66.0ms	679×	body	160	valid
10.0ms	219×	body	80	valid