Details

Time bar (total: 16.7s)

sample88.0ms

Algorithm
intervals
Results
45.0ms112×body1280valid
18.0ms83×body640valid
7.0ms258×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

localize5.0ms

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)))

rewrite37.0ms

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:
23.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
124.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify128.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040625
24497607
35001607
done5001607

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite193.0ms

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:
58.0ms
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
135.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series166.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
95.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify93.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0169300
1586281
22737278
35001278
done5001278

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite4.3s

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:
1.8s
(- (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)))
593.0ms
(- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))
73.0ms
(- (/ (pow eps 2) (pow 1.0 2)) eps)
1.4s
(/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps))

series948.0ms

Counts
4 → 12
Calls
4 calls:
373.0ms
(- (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))
69.0ms
(- (/ (pow eps 2) (pow 1.0 2)) eps)
382.0ms
(/ (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)) (- (/ (pow eps 2) (pow 1.0 2)) eps))

simplify402.0ms

Counts
1583 → 1583
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0500244546
done500244546

prune3.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))) (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))) (+ (/ eps (sqrt (pow 1.0 2))) (sqrt eps)))
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)))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
627×add-sqr-sqrt
472×times-frac
192×cbrt-prod
180×difference-of-squares
129×unpow-prod-down sqr-pow
81×unpow2
19×*-un-lft-identity
18×cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/l/
7×add-cbrt-cube
4×pow1 frac-times associate-/r* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l*
Counts
4 → 255
Calls
4 calls:
816.0ms
(/ (* (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))) (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))) (+ (/ eps (sqrt (pow 1.0 2))) (sqrt eps)))
363.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
363.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
368.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))

series812.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(/ (* (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2))) (cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))) (+ (/ eps (sqrt (pow 1.0 2))) (sqrt eps)))
220.0ms
(cbrt (- (/ (/ (/ (pow eps 4) (pow 1.0 2)) 1.0) 1.0) (pow eps 2)))
223.0ms
(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)))

simplify97.0ms

Counts
267 → 267
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
09506011
125905379
250015369
done50015369

prune836.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes47.0ms

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
539.0ms2516×body640valid
158.0ms8048×body80nan
156.0ms1292×body320valid
44.0ms597×body160valid
7.0ms203×body80valid