Details

sample84.0ms

Algorithm

intervals

Results

42.0ms	104×	body	1280	valid
20.0ms	92×	body	640	valid
5.0ms	234×	body	80	nan
4.0ms	32×	body	320	valid
1.0ms	19×	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: 57.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite38.0ms

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:

26.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
121.0ms	(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

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`prod-diff`
23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`unpow-prod-down`
8×	`fma-neg`
5×	`unpow2` `sqr-pow`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u` `associate--r+` `distribute-lft-out--`

Counts

1 → 52

Calls

1 calls:

21.0ms

(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

series97.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify138.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	203	877
1	600	486
2	3825	462
3	5001	461

prune99.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite35.0ms

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)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
118.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
124.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 3 (123.0ms)

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

prune337.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.2b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.4b	(log (sqrt (- 1.0 eps)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
98×	`log-prod`
72×	`times-frac`
69×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
25×	`sqrt-prod`
18×	`distribute-lft-out`
14×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/` `log-pow`
5×	`log-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `div-exp` `flip-+` `div-inv`
2×	`sqrt-div`
1×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`

Counts

4 → 152

Calls

4 calls:

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

series539.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
127.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
212.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
83.0ms	(log (sqrt (- 1.0 eps)))

simplify51.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	577	1495
1	1680	1413
2	5001	1347

prune483.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes48.0ms

Accuracy

0% (0.5b 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

sample2.6s

Algorithm

intervals

Results

1.4s	3368×	body	1280	valid
531.0ms	2502×	body	640	valid
165.0ms	1284×	body	320	valid
157.0ms	7914×	body	80	nan
47.0ms	639×	body	160	valid
7.0ms	207×	body	80	valid