Details

sample80.0ms

Algorithm

intervals

Results

42.0ms	103×	body	1280	valid
17.0ms	80×	body	640	valid
5.0ms	44×	body	320	valid
5.0ms	247×	body	80	nan
1.0ms	20×	body	160	valid
0.0ms	9×	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

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

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:

11.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
128.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify132.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (124.0ms)

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

prune188.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

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

prune15.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
0.0b	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
5.2b	(log (sqrt (- 1.0 eps)))
5.4b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
96×	`times-frac`
92×	`add-sqr-sqrt` `log-prod`
75×	`sqrt-prod`
62×	`add-cube-cbrt`
38×	`associate-+r+`
29×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`log-pow`
10×	`add-exp-log`
8×	`associate-+l+` `associate-/l*`
6×	`log-div` `fma-def` `sqrt-div` `associate-/r/` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `div-inv`
2×	`associate-+l-` `sqrt-pow1` `pow1/2` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 208

Calls

4 calls:

11.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
16.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
3.0ms	(log (sqrt (- 1.0 eps)))
6.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

series760.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
349.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
85.0ms	(log (sqrt (- 1.0 eps)))
224.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))

simplify71.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	718	2099
1	2357	1980
2	5001	1902

prune429.0ms

Filtered

220 candidates to 139 candidates (63.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
5.2b	(log (sqrt (- 1.0 eps)))
5.2b	(log (sqrt (- 1.0 eps)))
5.4b	(log (/ 1 (+ 1.0 eps)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
34×	`log-prod`
29×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`times-frac`
15×	`add-exp-log`
11×	`pow1`
10×	`sqrt-prod`
9×	`log-pow`
7×	`distribute-lft-out`
6×	`rem-log-exp` `add-cbrt-cube`
5×	`log-div`
4×	`expm1-log1p-u` `sqrt-div` `div-exp` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`rec-exp` `flip3--` `pow-flip` `sqrt-pow1` `flip3-+` `pow1/2` `1-exp` `flip--` `flip-+` `div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `log-rec` `clear-num`

Counts

4 → 121

Calls

4 calls:

5.0ms	(/ 1 (+ 1.0 eps))
7.0ms	(log (sqrt (- 1.0 eps)))
3.0ms	(log (sqrt (- 1.0 eps)))
4.0ms	(log (/ 1 (+ 1.0 eps)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (+ 1.0 eps))
88.0ms	(log (sqrt (- 1.0 eps)))
90.0ms	(log (sqrt (- 1.0 eps)))
78.0ms	(log (/ 1 (+ 1.0 eps)))

simplify41.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	395	758
1	1262	673
2	5002	620

prune256.0ms

Filtered

133 candidates to 83 candidates (62.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes26.0ms

Accuracy

0% (0.6b 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

1.4s	3391×	body	1280	valid
547.0ms	2537×	body	640	valid
158.0ms	7907×	body	80	nan
141.0ms	1170×	body	320	valid
50.0ms	683×	body	160	valid
7.0ms	219×	body	80	valid