Details

Time bar (total: 5.0s)

sample85.0ms

Algorithm
intervals
Results
46.0ms109×body1280valid
19.0ms89×body640valid
5.0ms234×body80nan
4.0ms35×body320valid
1.0ms13×body160valid
0.0ms10×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
3.8b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite22.0ms

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:
13.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series334.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
302.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify141.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune193.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune14.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1.0 eps))
0.0b
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
3.8b
(log (/ 1 (+ 1.0 eps)))
3.8b
(log (- 1.0 eps))

rewrite29.0ms

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:
6.0ms
(/ 1 (+ 1.0 eps))
11.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
4.0ms
(log (/ 1 (+ 1.0 eps)))
3.0ms
(log (- 1.0 eps))

series317.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (+ 1.0 eps))
182.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
70.0ms
(log (/ 1 (+ 1.0 eps)))
42.0ms
(log (- 1.0 eps))

simplify50.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0495892
11641793
25002705

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (+ 1.0 eps)))
1.8b
(log (- (pow 1.0 3) (pow eps 3)))
3.8b
(log (+ 1.0 eps))
3.8b
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
39×log-prod
34×add-sqr-sqrt
28×*-un-lft-identity
16×difference-of-squares
12×pow1 unpow-prod-down cube-prod
10×add-cube-cbrt log-div
8×log-pow sqr-pow
7×add-exp-log
6×distribute-lft-out
5×flip3-+ flip-+ distribute-lft-out--
4×expm1-log1p-u associate-+r+ fma-def add-cbrt-cube log1p-expm1-u add-log-exp
3×associate-+l+ rem-log-exp
2×associate-+l- associate-+r-
1×difference-cubes +-commutative flip3-- sum-log flip--
Counts
4 → 103
Calls
4 calls:
13.0ms
(+ (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (+ 1.0 eps)))
22.0ms
(log (- (pow 1.0 3) (pow eps 3)))
2.0ms
(log (+ 1.0 eps))
7.0ms
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

series519.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(+ (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (+ 1.0 eps)))
255.0ms
(log (- (pow 1.0 3) (pow eps 3)))
48.0ms
(log (+ 1.0 eps))
57.0ms
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05661015
11938956
25001946

prune332.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes34.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s3452×body1280valid
550.0ms2507×body640valid
171.0ms8035×body80nan
148.0ms1192×body320valid
48.0ms637×body160valid
7.0ms212×body80valid