Details

sample85.0ms

Algorithm

intervals

Results

46.0ms	112×	body	1280	valid
17.0ms	78×	body	640	valid
6.0ms	45×	body	320	valid
5.0ms	245×	body	80	nan
1.0ms	14×	body	160	valid
0.0ms	7×	body	80	valid

simplify7.0ms

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: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(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:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms	(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

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

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

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
5.1b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/l*`
8×	`pow1` `associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`log-pow`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--`

Counts

4 → 182

Calls

4 calls:

15.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
7.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
192.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
195.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify48.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	402	1646
1	1217	1564
2	5001	1492

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
0.0b	(/ 1 (sqrt (+ 1.0 eps)))
4.9b	(log (/ 1 (sqrt (+ 1.0 eps))))
5.1b	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
112×	`times-frac`
102×	`add-sqr-sqrt`
72×	`add-cube-cbrt` `sqrt-prod`
68×	`log-prod`
18×	`add-exp-log` `distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r*`
10×	`pow1`
8×	`sqrt-div` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`pow-flip` `div-exp` `rem-log-exp` `log-pow`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `log-div` `rec-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `clear-num` `associate-/l/` `inv-pow`
1×	`flip3--` `div-sub` `log-rec` `flip--`

Counts

4 → 220

Calls

4 calls:

13.0ms	(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
7.0ms	(/ 1 (sqrt (+ 1.0 eps)))
5.0ms	(log (/ 1 (sqrt (+ 1.0 eps))))
7.0ms	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
50.0ms	(/ 1 (sqrt (+ 1.0 eps)))
116.0ms	(log (/ 1 (sqrt (+ 1.0 eps))))
202.0ms	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))

simplify68.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	723	2032
1	2570	1835
2	5003	1752

prune348.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes60.0ms

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

1.3s	3322×	body	1280	valid
556.0ms	2537×	body	640	valid
161.0ms	7995×	body	80	nan
158.0ms	1292×	body	320	valid
47.0ms	638×	body	160	valid
7.0ms	211×	body	80	valid