Details

Time bar (total: 24.9s)

sample192.0ms

Algorithm
intervals
Results
98.0ms111×body1280valid
41.0ms82×body640valid
20.0ms284×body80nan
11.0ms34×body320valid
5.0ms22×body160valid
1.0ms7×body80valid

simplify43.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize33.0ms

Local error

Found 2 expressions with local error:

5.3b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite22.0ms

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:
Slowest
15.0ms
(/ (- 1 eps) (+ 1 eps))
6.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series120.0ms

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

simplify3.9s

Counts
102 → 100
Calls
102 calls:
Slowest
358.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
253.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
249.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
212.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
210.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune800.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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)

rewrite109.0ms

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-+
Counts
4 → 85
Calls
4 calls:
Slowest
74.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
16.0ms
(* (* 2/3 eps) eps)
10.0ms
(* 2/3 eps)
8.0ms
(* -2/5 (pow eps 5))

series291.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
88.0ms
(* -2/5 (pow eps 5))
40.0ms
(* (* 2/3 eps) eps)
17.0ms
(* 2/3 eps)

simplify3.3s

Counts
59 → 97
Calls
59 calls:
Slowest
356.0ms
(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
305.0ms
(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
273.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
230.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
218.0ms
(* (* (* (+ (* (* 2/3 eps) eps) 2) (+ (* (* 2/3 eps) eps) 2)) (+ (* (* 2/3 eps) eps) 2)) (* (* eps eps) eps))

prune788.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)
0.1b
(* (* 2/3 eps) eps)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-cbrt-cube add-exp-log
12×associate-*r*
11×*-un-lft-identity add-cube-cbrt
10×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
4×*-commutative insert-posit16 add-log-exp
3×unswap-sqr
Counts
4 → 76
Calls
4 calls:
Slowest
19.0ms
(* 2/3 eps)
16.0ms
(* (* 2/3 eps) eps)
10.0ms
(* 2/3 eps)
10.0ms
(* 2/3 eps)

series112.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
41.0ms
(* (* 2/3 eps) eps)
26.0ms
(* 2/3 eps)
26.0ms
(* 2/3 eps)
19.0ms
(* 2/3 eps)

simplify1.3s

Counts
47 → 88
Calls
47 calls:
Slowest
232.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
208.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
189.0ms
(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
187.0ms
(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
183.0ms
(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b
(log (- 1 eps))
5.3b
(log (/ 1 (+ 1 eps)))
0.0b
(/ 1 (+ 1 eps))
0.0b
(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))

rewrite392.0ms

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:
Slowest
358.0ms
(/ 1 (+ 1 eps))
22.0ms
(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
4.0ms
(log (/ 1 (+ 1 eps)))
4.0ms
(log (- 1 eps))

series258.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
43.0ms
(log (- 1 eps))
41.0ms
(log (/ 1 (+ 1 eps)))
19.0ms
(/ 1 (+ 1 eps))

simplify5.0s

Counts
115 → 148
Calls
115 calls:
Slowest
453.0ms
(- (+ (* 1/2 (/ 1 (pow eps 2))) (+ (log (/ -1 eps)) (log -1))) (/ 1 eps))
365.0ms
(/ (* (* 1 1) 1) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
347.0ms
(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
307.0ms
(- (* 1/2 (pow eps 2)) (+ (* 1/3 (pow eps 3)) eps))
236.0ms
(- (+ (/ 1 eps) (/ 1 (pow eps 3))) (/ 1 (pow eps 2)))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.8s3400×body1280valid
1.3s2550×body640valid
1.0s8133×body80nan
431.0ms1194×body320valid
119.0ms638×body160valid
56.0ms218×body80valid