Details

sample88.0ms

Algorithm

intervals

Results

50.0ms	123×	body	1280	valid
15.0ms	71×	body	640	valid
6.0ms	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)))

rewrite20.0ms

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:

11.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify141.0ms

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

prune180.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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

prune11.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

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

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

Counts

4 → 194

Calls

4 calls:

16.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
11.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
6.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
6.0ms	(log (sqrt (- 1.0 eps)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
100.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
221.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
85.0ms	(log (sqrt (- 1.0 eps)))

simplify62.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	684	2067
1	2232	1942
2	5002	1842

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (log (- 1.0 eps)) (- (log (+ (pow 1.0 3) (pow eps 3))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
2.5b	(log (+ (pow 1.0 3) (pow eps 3)))
4.3b	(log (- 1.0 eps))
4.3b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
31×	`distribute-lft-out`
24×	`pow1`
20×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `log-div`
8×	`add-cube-cbrt` `distribute-rgt-neg-in`
7×	`add-exp-log` `associate-+l-`
6×	`add-log-exp`
5×	`sum-log`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `add-cbrt-cube` `flip-+`
3×	`associate-+r-` `associate-+r+` `rem-log-exp`
2×	`flip3--` `flip--`
1×	`+-commutative` `neg-sub0` `associate-+l+` `unsub-neg` `neg-log` `sum-cubes` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

53.0ms	(+ (+ (log (- 1.0 eps)) (- (log (+ (pow 1.0 3) (pow eps 3))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
12.0ms	(log (+ (pow 1.0 3) (pow eps 3)))
3.0ms	(log (- 1.0 eps))
7.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series608.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+ (+ (log (- 1.0 eps)) (- (log (+ (pow 1.0 3) (pow eps 3))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
264.0ms	(log (+ (pow 1.0 3) (pow eps 3)))
43.0ms	(log (- 1.0 eps))
72.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	523	1135
1	1826	1048
2	5001	1026

prune290.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes73.0ms

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	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3387×	body	1280	valid
542.0ms	2473×	body	640	valid
168.0ms	8057×	body	80	nan
166.0ms	1293×	body	320	valid
46.0ms	620×	body	160	valid
8.0ms	227×	body	80	valid