Details

sample85.0ms

Algorithm

intervals

Results

45.0ms	112×	body	1280	valid
14.0ms	66×	body	640	valid
5.0ms	45×	body	320	valid
5.0ms	250×	body	80	nan
2.0ms	27×	body	160	valid
0.0ms	6×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
129.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (127.0ms)

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

prune183.0ms

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

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
6.8b	(log (- 1.0 eps))
6.8b	(log (/ 1 (+ 1.0 eps)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
46×	`log-prod`
36×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
13×	`pow1`
9×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 142

Calls

4 calls:

13.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms	(/ 1 (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))
4.0ms	(log (/ 1 (+ 1.0 eps)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
23.0ms	(/ 1 (+ 1.0 eps))
42.0ms	(log (- 1.0 eps))
74.0ms	(log (/ 1 (+ 1.0 eps)))

simplify45.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	495	892
1	1641	793
2	5002	705

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps)))
6.6b	(log (sqrt (- 1.0 eps)))
6.6b	(log (sqrt (- 1.0 eps)))
6.8b	(log (+ 1.0 eps))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`log-prod` `log-pow`
31×	`add-sqr-sqrt`
29×	`pow1`
24×	`prod-diff`
23×	`add-cube-cbrt`
15×	`sqrt-prod`
10×	`log-div`
8×	`associate--l+`
7×	`add-exp-log` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
6×	`fma-neg` `sqrt-div`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `associate--r+` `add-log-exp` `difference-of-squares`
3×	`rem-log-exp`
2×	`associate--l-` `flip3-+` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 128

Calls

4 calls:

15.0ms	(- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps)))
3.0ms	(log (sqrt (- 1.0 eps)))
3.0ms	(log (sqrt (- 1.0 eps)))
2.0ms	(log (+ 1.0 eps))

series366.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps)))
87.0ms	(log (sqrt (- 1.0 eps)))
83.0ms	(log (sqrt (- 1.0 eps)))
40.0ms	(log (+ 1.0 eps))

simplify43.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	414	1325
1	1221	1037
2	5002	1007

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes42.0ms

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

sample2.5s

Algorithm

intervals

Results

1.4s	3464×	body	1280	valid
526.0ms	2475×	body	640	valid
159.0ms	7822×	body	80	nan
147.0ms	1209×	body	320	valid
47.0ms	647×	body	160	valid
7.0ms	205×	body	80	valid