Details

sample84.0ms

Algorithm

intervals

Results

46.0ms	109×	body	1280	valid
15.0ms	71×	body	640	valid
6.0ms	273×	body	80	nan
4.0ms	35×	body	320	valid
2.0ms	31×	body	160	valid
0.0ms	10×	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

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.6b	(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:

13.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify141.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (132.0ms)

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

prune192.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

7 alts after pruning (7 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

prune10.0ms

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	(/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))
0.0b	(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
7.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
7.6b	(log (- 1.0 eps))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
62×	`log-prod`
60×	`times-frac`
38×	`add-cube-cbrt`
31×	`difference-of-squares`
26×	`associate-+l+`
15×	`distribute-lft-out--`
11×	`pow1`
10×	`add-exp-log`
7×	`log-pow`
6×	`log-div` `flip3--` `associate-/r/` `add-cbrt-cube` `flip--`
5×	`associate-+r+` `associate-/l*`
4×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `div-sub` `clear-num` `sum-log` `flip-+`

Counts

4 → 160

Calls

4 calls:

15.0ms	(/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))
15.0ms	(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
3.0ms	(log (- 1.0 eps))

series364.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))
202.0ms	(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
85.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
42.0ms	(log (- 1.0 eps))

simplify63.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	649	1611
1	2301	1453
2	5001	1383

prune387.0ms

Filtered

172 candidates to 137 candidates (79.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* eps eps))) (log (- 1.0 eps)))
4.5b	(log (- (* 1.0 1.0) (* eps eps)))
7.6b	(log (- 1.0 eps))
7.6b	(log (- 1.0 eps))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
23×	`log-prod`
20×	`pow1`
18×	`add-cube-cbrt`
16×	`prod-diff` `log-pow`
10×	`log-div`
7×	`add-exp-log` `distribute-lft-out--`
6×	`flip3--` `flip--` `difference-of-squares`
5×	`associate--r+`
4×	`expm1-log1p-u` `fma-neg` `associate--l+` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 105

Calls

4 calls:

9.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (log (- 1.0 eps)))
3.0ms	(log (- (* 1.0 1.0) (* eps eps)))
3.0ms	(log (- 1.0 eps))
3.0ms	(log (- 1.0 eps))

series313.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (log (- 1.0 eps)))
105.0ms	(log (- (* 1.0 1.0) (* eps eps)))
42.0ms	(log (- 1.0 eps))
47.0ms	(log (- 1.0 eps))

simplify46.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	427	1123
1	1433	828
2	5001	732

prune240.0ms

Filtered

117 candidates to 84 candidates (71.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes27.0ms

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

sample2.6s

Algorithm

intervals

Results

1.4s	3351×	body	1280	valid
558.0ms	2521×	body	640	valid
171.0ms	7953×	body	80	nan
158.0ms	1249×	body	320	valid
50.0ms	658×	body	160	valid
8.0ms	221×	body	80	valid