Details

Time bar (total: 36.2s)

sample163.0ms

Algorithm
intervals
Results
81.0ms109×body1280valid
37.0ms83×body640valid
17.0ms251×body80nan
11.0ms41×body320valid
3.0ms15×body160valid
1.0ms8×body80valid

simplify62.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
62.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize10.0ms

Local error

Found 2 expressions with local error:

5.0b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite28.0ms

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
19.0ms
(/ (- 1 eps) (+ 1 eps))
6.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(log (/ (- 1 eps) (+ 1 eps)))
25.0ms
(/ (- 1 eps) (+ 1 eps))

simplify3.8s

Counts
102 → 100
Calls
102 calls:
Slowest
377.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
226.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
224.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
201.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
191.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune935.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite105.0ms

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
57.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
22.0ms
(* (* 2/3 eps) eps)
20.0ms
(* -2/5 (pow eps 5))
5.0ms
(* 2/3 eps)

series220.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
63.0ms
(* -2/5 (pow eps 5))
31.0ms
(* (* 2/3 eps) eps)
17.0ms
(* 2/3 eps)

simplify3.2s

Counts
59 → 97
Calls
59 calls:
Slowest
359.0ms
(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
311.0ms
(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
239.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
212.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
198.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))

prune966.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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) (* (* 2/3 eps) eps))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
124×pow1
69×pow-prod-down
46×add-cbrt-cube add-exp-log
30×prod-exp cbrt-unprod
16×add-sqr-sqrt
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
9×pow-sqr pow-prod-up
4×*-commutative insert-posit16 add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 118
Calls
4 calls:
Slowest
136.0ms
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
5.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)

series158.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
31.0ms
(* 2/3 eps)
28.0ms
(* 2/3 eps)
27.0ms
(* 2/3 eps)

simplify5.5s

Counts
108 → 130
Calls
108 calls:
Slowest
378.0ms
(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
372.0ms
(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))
324.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))
287.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
268.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.8b
(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
4.8b
(log (/ (- 1 eps) (+ (* eps (* eps eps)) 1)))
0.1b
(* eps (* eps eps))
0.0b
(/ (- 1 eps) (+ (* eps (* eps eps)) 1))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt *-un-lft-identity
36×times-frac
28×log-prod
27×add-cube-cbrt
20×pow1
15×add-exp-log
14×difference-of-squares
11×add-cbrt-cube
7×distribute-lft-out--
6×associate-/l*
5×pow-prod-up
4×associate-/r/ insert-posit16 add-log-exp
3×log-div associate-/r* flip3-+ rem-log-exp associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
2×div-exp log-pow div-inv associate-/l/
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus flip3-- div-sub cube-unmult associate-*r* pow-sqr *-commutative flip-- distribute-lft-out unswap-sqr
Counts
4 → 122
Calls
4 calls:
Slowest
43.0ms
(/ (- 1 eps) (+ (* eps (* eps eps)) 1))
16.0ms
(log (/ (- 1 eps) (+ (* eps (* eps eps)) 1)))
13.0ms
(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
13.0ms
(* eps (* eps eps))

series230.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(log (/ (- 1 eps) (+ (* eps (* eps eps)) 1)))
60.0ms
(* eps (* eps eps))
57.0ms
(/ (- 1 eps) (+ (* eps (* eps eps)) 1))
51.0ms
(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))

simplify11.7s

Counts
110 → 134
Calls
110 calls:
Slowest
510.0ms
(* (* (* eps eps) eps) (* (* (* eps eps) eps) (* (* eps eps) eps)))
487.0ms
(/ (sqrt (- 1 eps)) (sqrt (+ (* eps (* eps eps)) 1)))
468.0ms
(* (* (* eps eps) eps) (* (* (* eps eps) (* eps eps)) (* eps eps)))
433.0ms
(+ (* (* eps (* eps eps)) (* eps (* eps eps))) (- (* 1 1) (* (* eps (* eps eps)) 1)))
369.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* eps eps) (* 1 eps)) (- (* eps eps) (* 1 eps)))))

prune730.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.1s3391×body1280valid
1.8s2587×body640valid
663.0ms7971×body80nan
413.0ms1225×body320valid
115.0ms605×body160valid
18.0ms192×body80valid