Details

sample85.0ms

Algorithm

intervals

Results

43.0ms	112×	body	1280	valid
15.0ms	70×	body	640	valid
8.0ms	283×	body	80	nan
5.0ms	43×	body	320	valid
2.0ms	22×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite35.0ms

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:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
120.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify139.0ms

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

prune186.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

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

prune12.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite33.0ms

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` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
116.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
114.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
120.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify132.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	388	1259
1	1109	1186
2	4735	1134
3	5001	1128

prune331.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.2b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.2b	(log (- 1.0 eps))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

83×	`log-prod`
81×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
35×	`add-cube-cbrt`
18×	`difference-of-squares`
14×	`add-exp-log`
13×	`distribute-lft-out--`
10×	`distribute-lft-out`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div`
4×	`expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `div-inv`
2×	`flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 135

Calls

4 calls:

9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
14.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.0ms	(log (- 1.0 eps))

series367.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
80.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
46.0ms	(log (- 1.0 eps))

simplify53.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	577	1307
1	1735	1200
2	5001	1175

prune478.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes90.0ms

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	13	8
1	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3431×	body	1280	valid
531.0ms	2548×	body	640	valid
160.0ms	8109×	body	80	nan
144.0ms	1199×	body	320	valid
44.0ms	614×	body	160	valid
7.0ms	208×	body	80	valid