Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	104×	body	1280	valid
17.0ms	76×	body	640	valid
6.0ms	47×	body	320	valid
6.0ms	264×	body	80	nan
2.0ms	26×	body	160	valid
0.0ms	3×	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: 59.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.3b	(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)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
114.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (126.0ms)

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

prune231.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.1b	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
40×	`times-frac`
31×	`add-cube-cbrt`
26×	`log-prod`
14×	`cbrt-prod`
11×	`distribute-lft-out`
10×	`pow1` `add-exp-log`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
5×	`log-pow` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `flip3-+` `unpow3` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `log-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `pow-exp` `clear-num` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 139

Calls

4 calls:

4.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
24.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
3.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
28.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
115.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
111.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify54.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	514	1113
1	1920	1059
2	5001	1051

prune341.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 eps))
0.0b	(cbrt (- 1.0 eps))
7.1b	(log (cbrt (- 1.0 eps)))
7.3b	(log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
46×	`log-prod`
39×	`add-sqr-sqrt`
35×	`cbrt-prod`
32×	`times-frac`
25×	`add-cube-cbrt`
8×	`add-exp-log` `distribute-lft-out`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `pow1/3` `rem-log-exp` `log-pow` `flip--`
2×	`associate-/r/`
1×	`flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 107

Calls

4 calls:

4.0ms	(cbrt (- 1.0 eps))
4.0ms	(cbrt (- 1.0 eps))
5.0ms	(log (cbrt (- 1.0 eps)))
14.0ms	(log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (- 1.0 eps))
83.0ms	(cbrt (- 1.0 eps))
108.0ms	(log (cbrt (- 1.0 eps)))
168.0ms	(log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)))

simplify47.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	555	1026
1	1650	972
2	5001	958

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes67.0ms

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

sample2.6s

Algorithm

intervals

Results

1.4s	3363×	body	1280	valid
567.0ms	2547×	body	640	valid
176.0ms	7993×	body	80	nan
166.0ms	1277×	body	320	valid
47.0ms	612×	body	160	valid
7.0ms	201×	body	80	valid