Details

Time bar (total: 22.1s)

sample170.0ms

Algorithm
intervals
Results
91.0ms108×body1280valid
40.0ms88×body640valid
15.0ms228×body80nan
9.0ms34×body320valid
3.0ms20×body160valid
1.0ms6×body80valid

simplify43.0ms

Calls
1 calls:
Slowest
43.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize20.0ms

Local error

Found 2 expressions with local error:

5.8b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite62.0ms

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--
Calls
2 calls:
Slowest
31.0ms
(/ (- 1 eps) (+ 1 eps))
29.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series126.0ms

Calls
2 calls:
Slowest
92.0ms
(log (/ (- 1 eps) (+ 1 eps)))
34.0ms
(/ (- 1 eps) (+ 1 eps))

simplify4.0s

Calls
102 calls:
Slowest
376.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
213.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
212.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
188.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
178.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune885.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 eps)
0.1b
(* (* 2/3 eps) eps)
0.1b
(* -2/5 (pow eps 5))
0.0b
(* (+ (* (* 2/3 eps) eps) 2) eps)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
16×associate-*r*
15×add-cbrt-cube
13×pow1
12×*-un-lft-identity add-cube-cbrt
10×associate-*l*
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*l/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Calls
4 calls:
Slowest
75.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
14.0ms
(* (* 2/3 eps) eps)
9.0ms
(* -2/5 (pow eps 5))
5.0ms
(* 2/3 eps)

series235.0ms

Calls
4 calls:
Slowest
108.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
75.0ms
(* -2/5 (pow eps 5))
36.0ms
(* (* 2/3 eps) eps)
16.0ms
(* 2/3 eps)

simplify3.3s

Calls
59 calls:
Slowest
350.0ms
(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
338.0ms
(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
304.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
233.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
203.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))

prune812.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

2.5b
(log (exp (* (* 2/3 eps) eps)))
0.3b
(* 2/3 eps)
0.1b
(* (* 2/3 eps) eps)
0.1b
(* -2/5 (pow eps 5))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log
13×add-cbrt-cube associate-*r*
12×pow1
11×*-un-lft-identity add-cube-cbrt
7×associate-*l* prod-exp
5×cbrt-unprod add-log-exp
4×unpow-prod-down pow-prod-down insert-posit16 unswap-sqr
3×log-prod log-pow *-commutative
2×sqr-pow
1×pow-to-exp exp-prod exp-to-pow rem-log-exp pow-exp
Calls
4 calls:
Slowest
17.0ms
(* (* 2/3 eps) eps)
8.0ms
(* -2/5 (pow eps 5))
7.0ms
(log (exp (* (* 2/3 eps) eps)))
6.0ms
(* 2/3 eps)

series151.0ms

Calls
4 calls:
Slowest
61.0ms
(* -2/5 (pow eps 5))
33.0ms
(log (exp (* (* 2/3 eps) eps)))
30.0ms
(* (* 2/3 eps) eps)
27.0ms
(* 2/3 eps)

simplify2.0s

Calls
52 calls:
Slowest
255.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
180.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
162.0ms
(* (sqrt -2/5) (pow eps (/ 5 2)))
160.0ms
(log (sqrt (exp (* (* 2/3 eps) eps))))
159.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

5.8b
(log (- 1 eps))
5.8b
(log (+ 1 eps))
0.0b
(- (log (- 1 eps)) (log (+ 1 eps)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×log-prod
15×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×associate--l+ log-pow distribute-lft-out--
5×add-exp-log difference-of-squares
4×associate--r+
3×flip3-- add-cbrt-cube insert-posit16 flip-- add-log-exp
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Calls
3 calls:
Slowest
11.0ms
(- (log (- 1 eps)) (log (+ 1 eps)))
4.0ms
(log (- 1 eps))
3.0ms
(log (+ 1 eps))

series215.0ms

Calls
3 calls:
Slowest
156.0ms
(- (log (- 1 eps)) (log (+ 1 eps)))
29.0ms
(log (+ 1 eps))
29.0ms
(log (- 1 eps))

simplify3.2s

Calls
46 calls:
Slowest
561.0ms
(- (+ (* 2 (/ 1 eps)) (+ (* 2/3 (/ 1 (pow eps 3))) (log -1))))
375.0ms
(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
363.0ms
(- (+ (/ 1 eps) (log -1)) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps))))
264.0ms
(- (log -1) (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ 1 eps)))))
211.0ms
(- (+ (* 1/3 (pow eps 3)) eps) (* 1/2 (pow eps 2)))

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.5s3333×body1280valid
1.1s2524×body640valid
899.0ms8151×body80nan
356.0ms1274×body320valid
135.0ms655×body160valid
16.0ms214×body80valid