Details

Time bar (total: 19.6s)

sample88.0ms

Algorithm
intervals
Results
46.0ms112×body1280valid
18.0ms83×body640valid
5.0ms258×body80nan
4.0ms32×body320valid
2.0ms24×body160valid
0.0ms5×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234
done234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

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)))

rewrite34.0ms

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:
21.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
124.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify130.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040625
24497607
35001607
done5001607

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
8×add-sqr-sqrt
4×difference-of-squares
2×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg unpow-prod-down flip3-- flip3-+ flip-- flip-+ associate--r+ unpow2 sqr-pow
Counts
2 → 32
Calls
2 calls:
51.0ms
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
120.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series174.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
100.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify91.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0169300
1586281
22737278
35001278
done5001278

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow eps 2) (/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps)))
0.0b
(- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))
0.0b
(- (/ (pow eps 2) (pow 1.0 2)) eps)
29.3b
(/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite3.9s

Algorithm
rewrite-expression-head
Rules
7089×add-sqr-sqrt
5992×times-frac
2510×difference-of-squares
1519×unpow-prod-down sqr-pow
1151×unpow2
271×*-un-lft-identity
91×add-cube-cbrt
90×distribute-lft-out--
64×associate-/l*
21×associate-/r*
10×add-log-exp
6×add-exp-log add-cbrt-cube
5×flip3-- flip--
4×pow1
3×sub-neg diff-log
2×div-sub associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate--r-
Counts
4 → 1571
Calls
4 calls:
1.6s
(- (pow eps 2) (/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps)))
508.0ms
(- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))
63.0ms
(- (/ (pow eps 2) (pow 1.0 2)) eps)
1.3s
(/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps))

series778.0ms

Counts
4 → 12
Calls
4 calls:
377.0ms
(- (pow eps 2) (/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps)))
124.0ms
(- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))
70.0ms
(- (/ (pow eps 2) (pow 1.0 2)) eps)
206.0ms
(/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps))

simplify424.0ms

Counts
1583 → 1583
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0500149800
done500149800

prune8.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

29.2b
(sqrt (pow eps 2))
30.2b
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
30.2b
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
30.2b
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))

rewrite988.0ms

Algorithm
rewrite-expression-head
Rules
629×add-sqr-sqrt
468×times-frac
192×cbrt-prod
180×difference-of-squares
133×unpow-prod-down
131×sqr-pow
83×unpow2
15×*-un-lft-identity
9×add-cube-cbrt
8×sqrt-prod
6×cbrt-div
4×pow1 add-exp-log rem-sqrt-square add-cbrt-cube add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out--
1×sqrt-pow1 pow1/2
Counts
4 → 243
Calls
4 calls:
5.0ms
(sqrt (pow eps 2))
315.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
318.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
323.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (pow eps 2))
229.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
221.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
231.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))

simplify71.0ms

Counts
255 → 255
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
07104818
115544335
250024241
done50024241

prune737.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes44.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159
done159

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s3392×body1280valid
548.0ms2516×body640valid
169.0ms1292×body320valid
166.0ms8048×body80nan
45.0ms597×body160valid
7.0ms203×body80valid