Details

Time bar (total: 4.4s)

sample82.0ms

Algorithm
intervals
Results
44.0ms109×body1280valid
15.0ms71×body640valid
6.0ms273×body80nan
4.0ms35×body320valid
2.0ms31×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
7.6b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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:
10.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
118.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify130.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune172.0ms

Filtered
89 candidates to 59 candidates (66.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)

IterNodesCost
000

prune10.0ms

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 (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b
(/ 1 (+ 1.0 eps))
7.6b
(log (/ 1 (+ 1.0 eps)))
7.6b
(log (- 1.0 eps))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
46×log-prod
36×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
18×associate-+r+
14×add-exp-log distribute-lft-out
12×pow1
8×log-pow
6×log-div associate-/r/ add-cbrt-cube
5×associate-+l+ rem-log-exp
4×flip3-+ div-exp associate-/r* flip-+ 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 → 130
Calls
4 calls:
10.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms
(/ 1 (+ 1.0 eps))
4.0ms
(log (/ 1 (+ 1.0 eps)))
2.0ms
(log (- 1.0 eps))

series327.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
23.0ms
(/ 1 (+ 1.0 eps))
69.0ms
(log (/ 1 (+ 1.0 eps)))
45.0ms
(log (- 1.0 eps))

simplify42.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0467861
11536768
25002679

prune223.0ms

Filtered
142 candidates to 87 candidates (61.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* eps eps))
0.0b
(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
4.5b
(log (- (* 1.0 1.0) (* eps eps)))
7.6b
(log (+ 1.0 eps))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×log-prod
15×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
8×associate--r+
7×add-log-exp
6×pow1 add-exp-log log-div
4×distribute-rgt-in flip3-- distribute-lft-in associate--l+ add-cbrt-cube flip--
3×distribute-lft-out difference-of-squares
2×associate--l- sub-neg diff-log rem-log-exp log-pow
1×flip3-+ flip-+
Counts
4 → 69
Calls
4 calls:
3.0ms
(- (* 1.0 1.0) (* eps eps))
9.0ms
(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
3.0ms
(log (- (* 1.0 1.0) (* eps eps)))
2.0ms
(log (+ 1.0 eps))

series332.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* 1.0 1.0) (* eps eps))
140.0ms
(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
106.0ms
(log (- (* 1.0 1.0) (* eps eps)))
44.0ms
(log (+ 1.0 eps))

simplify39.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0388632
11288586
25002559

prune177.0ms

Filtered
81 candidates to 65 candidates (80.2%)
Pruning

7 alts after pruning (6 fresh and 1 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)

IterNodesCost
0159
1159

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.4s3351×body1280valid
553.0ms2521×body640valid
168.0ms7953×body80nan
159.0ms1249×body320valid
52.0ms658×body160valid
7.0ms221×body80valid