Details

sample87.0ms

Algorithm

intervals

Results

50.0ms	123×	body	1280	valid
15.0ms	71×	body	640	valid
5.0ms	270×	body	80	nan
5.0ms	38×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	11×	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: 57.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.2b	(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×	`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:

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

series152.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
121.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify138.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (129.0ms)

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

prune188.0ms

Pruning

7 alts after pruning (7 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

prune12.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
4.2b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.3b	(log (sqrt (- 1.0 eps)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
96×	`times-frac`
92×	`add-sqr-sqrt` `log-prod`
75×	`sqrt-prod`
62×	`add-cube-cbrt`
38×	`associate-+r+`
29×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`log-pow`
10×	`add-exp-log`
8×	`associate-+l+` `associate-/l*`
6×	`log-div` `fma-def` `sqrt-div` `associate-/r/` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `div-inv`
2×	`associate-+l-` `sqrt-pow1` `pow1/2` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 208

Calls

4 calls:

17.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
8.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
8.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
7.0ms	(log (sqrt (- 1.0 eps)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
95.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
206.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
82.0ms	(log (sqrt (- 1.0 eps)))

simplify67.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	718	2099
1	2357	1982
2	5002	1902

prune451.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

4.2b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.3b	(log (sqrt (- 1.0 eps)))
4.3b	(log (sqrt (- 1.0 eps)))
4.3b	(log (sqrt (- 1.0 eps)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

12.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
82.0ms	(log (sqrt (- 1.0 eps)))
82.0ms	(log (sqrt (- 1.0 eps)))
86.0ms	(log (sqrt (- 1.0 eps)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	422	1113
1	1276	1043
2	5001	979

prune378.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes36.0ms

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	3387×	body	1280	valid
542.0ms	2473×	body	640	valid
160.0ms	1293×	body	320	valid
159.0ms	8057×	body	80	nan
46.0ms	620×	body	160	valid
8.0ms	227×	body	80	valid