Details

Time bar (total: 20.5s)

sample180.0ms

Algorithm
intervals
Results
85.0ms105×body1280valid
38.0ms84×body640valid
27.0ms284×body80nan
10.0ms37×body320valid
3.0ms17×body160valid
2.0ms13×body80valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
425
325
222
117
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1 eps) (+ 1 eps))
4.6b
(log (/ (- 1 eps) (+ 1 eps)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
52×add-sqr-sqrt
48×times-frac
30×log-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
7×add-exp-log
6×associate-/l*
4×associate-/r* add-cbrt-cube associate-/r/
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ insert-posit16 div-inv add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-sub log-pow flip--
Counts
2 → 94
Calls
2 calls:
28.0ms
(/ (- 1 eps) (+ 1 eps))
11.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- 1 eps) (+ 1 eps))
92.0ms
(log (/ (- 1 eps) (+ 1 eps)))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
32190
2793
1366
0158

prune840.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))
0.1b
(* 2/5 (pow eps 5))
0.1b
(* (* eps eps) eps)
0.2b
(* -2/3 (* (* eps eps) eps))

rewrite492.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
23×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
12×prod-exp
11×associate-*r*
10×cbrt-unprod
9×*-un-lft-identity pow-prod-down add-cube-cbrt add-log-exp
7×associate-*l*
6×pow-plus pow-prod-up
4×unpow-prod-down insert-posit16 unswap-sqr
3×diff-log *-commutative
2×pow2 sub-neg associate--l+ pow-sqr sqr-pow
1×associate--l- pow-to-exp flip3-- pow3 pow-exp flip--
Counts
4 → 94
Calls
4 calls:
422.0ms
(- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))
8.0ms
(* 2/5 (pow eps 5))
14.0ms
(* (* eps eps) eps)
46.0ms
(* -2/3 (* (* eps eps) eps))

series307.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))
99.0ms
(* 2/5 (pow eps 5))
46.0ms
(* (* eps eps) eps)
62.0ms
(* -2/3 (* (* eps eps) eps))

simplify1.5s

Counts
106 → 106
Iterations
IterNodes
33482
2868
1342
0139

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))) (cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))))
0.7b
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))
0.7b
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))
0.7b
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
1.5s
(* (cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))) (cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))))
204.0ms
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))
132.0ms
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))
200.0ms
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))

series1.0s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))) (cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))))
250.0ms
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))
242.0ms
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))
240.0ms
(cbrt (- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5))))

simplify2.0s

Counts
103 → 103
Iterations
IterNodes
34477
21148
1413
0176

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1 eps))
0.0b
(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
4.7b
(log (/ 1 (+ 1 eps)))
4.7b
(log (- 1 eps))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
48×log-prod
37×add-sqr-sqrt
36×times-frac
31×add-cube-cbrt
18×associate-+r+
14×add-exp-log distribute-lft-out
12×pow1
8×log-pow
6×log-div associate-+l+ add-cbrt-cube associate-/r/
5×rem-log-exp
4×associate-/r* flip3-+ div-exp flip-+ insert-posit16 add-log-exp difference-of-squares
3×log-rec div-inv associate-/l*
2×rec-exp flip3-- 1-exp associate-+l- pow-flip flip-- distribute-lft-out-- inv-pow
1×cbrt-undiv +-commutative clear-num associate-+r- sum-log frac-2neg unsub-neg
Counts
4 → 136
Calls
4 calls:
10.0ms
(/ 1 (+ 1 eps))
16.0ms
(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
8.0ms
(log (/ 1 (+ 1 eps)))
7.0ms
(log (- 1 eps))

series205.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (+ 1 eps))
121.0ms
(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
29.0ms
(log (/ 1 (+ 1 eps)))
33.0ms
(log (- 1 eps))

simplify1.1s

Counts
148 → 148
Iterations
IterNodes
32792
2993
1444
0205

prune817.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
217
117
013

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.9s3459×body1280valid
1.8s2479×body640valid
664.0ms8070×body80nan
351.0ms1223×body320valid
113.0ms622×body160valid
18.0ms217×body80valid