Details

sample84.0ms

Algorithm

intervals

Results

46.0ms	119×	body	1280	valid
16.0ms	74×	body	640	valid
6.0ms	288×	body	80	nan
5.0ms	40×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	6×	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

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: 58.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite18.0ms

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:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify142.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (128.0ms)

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

prune152.0ms

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

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
5.3b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
135×	`times-frac`
109×	`add-sqr-sqrt`
108×	`log-prod`
84×	`distribute-lft-out`
64×	`unpow-prod-down` `cube-prod`
53×	`add-cube-cbrt`
51×	`associate-+l+`
28×	`distribute-lft-out--` `difference-of-squares`
16×	`sum-cubes`
11×	`pow1`
10×	`add-exp-log`
9×	`associate-/r*`
7×	`log-pow`
6×	`log-div` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+`
5×	`associate-/l*`
4×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-sub` `clear-num` `sum-log` `flip--`

Counts

4 → 236

Calls

4 calls:

15.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
25.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
15.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
216.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
65.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
68.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify85.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	734	2747
1	2533	2652
2	5001	2623

prune480.0ms

Filtered

248 candidates to 139 candidates (56.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	248	3	251

Merged error: 0.1b

Counts

251 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))))
0.0b	(log1p (expm1 (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))))
5.3b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
54×	`log-prod`
45×	`times-frac`
38×	`add-sqr-sqrt`
25×	`distribute-lft-out`
20×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`add-exp-log`
6×	`pow1`
5×	`sum-cubes` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `rem-log-exp`
2×	`flip3-+` `associate-/r/` `log-pow` `flip-+`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `div-exp` `div-inv` `expm1-udef`

Counts

4 → 102

Calls

4 calls:

1.0ms	(expm1 (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))))
1.0ms	(log1p (expm1 (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))))
15.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(expm1 (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))))
216.0ms	(log1p (expm1 (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))))
70.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
67.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	594	1248
1	1951	1163
2	5001	1129

prune293.0ms

Filtered

114 candidates to 75 candidates (65.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Merged error: 0.1b

Counts

117 → 3

regimes15.0ms

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

sample2.5s

Algorithm

intervals

Results

1.3s	3326×	body	1280	valid
543.0ms	2506×	body	640	valid
164.0ms	7915×	body	80	nan
163.0ms	1293×	body	320	valid
49.0ms	660×	body	160	valid
7.0ms	215×	body	80	valid