Details

sample86.0ms

Algorithm

intervals

Results

47.0ms	116×	body	1280	valid
17.0ms	77×	body	640	valid
6.0ms	275×	body	80	nan
5.0ms	38×	body	320	valid
1.0ms	20×	body	160	valid
0.0ms	5×	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: 59.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.8b	(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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

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

series161.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify131.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune167.0ms

Pruning

4 alts after pruning (4 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

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

5.8b	(log (+ 1.0 eps))
5.8b	(log (- 1.0 eps))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

3.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

series85.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(log (+ 1.0 eps))
40.0ms	(log (- 1.0 eps))

simplify46.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	183	199
1	461	181
2	1489	171
3	5002	168

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

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))
5.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite23.0ms

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×	`associate-/r*` `associate-/r/` `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 → 131

Calls

4 calls:

2.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
2.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
118.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify53.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	491	1077
1	1826	1025
2	5002	1018

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes40.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3474×	body	1280	valid
539.0ms	2494×	body	640	valid
167.0ms	8017×	body	80	nan
150.0ms	1214×	body	320	valid
45.0ms	612×	body	160	valid
7.0ms	206×	body	80	valid