Details

Time bar (total: 35.0s)

sample173.0ms

Algorithm
intervals
Results
80.0ms104×body1280valid
34.0ms80×body640valid
16.0ms10×body80valid
15.0ms249×body80nan
11.0ms43×body320valid
3.0ms19×body160valid

simplify29.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
28.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize10.0ms

Local error

Found 2 expressions with local error:

5.7b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite30.0ms

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
22.0ms
(/ (- 1 eps) (+ 1 eps))
6.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
116.0ms
(log (/ (- 1 eps) (+ 1 eps)))
41.0ms
(/ (- 1 eps) (+ 1 eps))

simplify3.8s

Counts
102 → 100
Calls
102 calls:
Slowest
381.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
195.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
194.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
190.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
180.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune843.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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)

rewrite132.0ms

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
92.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
18.0ms
(* (* 2/3 eps) eps)
15.0ms
(* -2/5 (pow eps 5))
5.0ms
(* 2/3 eps)

series313.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
97.0ms
(* -2/5 (pow eps 5))
49.0ms
(* (* 2/3 eps) eps)
29.0ms
(* 2/3 eps)

simplify3.1s

Counts
59 → 97
Calls
59 calls:
Slowest
318.0ms
(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
297.0ms
(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
267.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
241.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
227.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))

prune813.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

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))

rewrite100.0ms

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
74.0ms
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
10.0ms
(* 2/3 eps)
9.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)

series118.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
23.0ms
(* 2/3 eps)
17.0ms
(* 2/3 eps)
15.0ms
(* 2/3 eps)

simplify5.3s

Counts
108 → 130
Calls
108 calls:
Slowest
348.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))
327.0ms
(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
315.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
302.0ms
(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))
281.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

5.8b
(log (/ (- 1 eps) (+ (* eps (* eps eps)) 1)))
5.7b
(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
0.1b
(* eps (* eps eps))
0.0b
(/ (- 1 eps) (+ (* eps (* eps eps)) 1))

rewrite109.0ms

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
38.0ms
(/ (- 1 eps) (+ (* eps (* eps eps)) 1))
27.0ms
(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
26.0ms
(* eps (* eps eps))
15.0ms
(log (/ (- 1 eps) (+ (* eps (* eps eps)) 1)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(* eps (* eps eps))
61.0ms
(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
58.0ms
(log (/ (- 1 eps) (+ (* eps (* eps eps)) 1)))
47.0ms
(/ (- 1 eps) (+ (* eps (* eps eps)) 1))

simplify11.7s

Counts
110 → 134
Calls
110 calls:
Slowest
885.0ms
(* (* (* eps eps) eps) (* (* (* eps eps) (* eps eps)) (* eps eps)))
611.0ms
(* (* (* eps eps) eps) (* (* (* eps eps) eps) (* (* eps eps) eps)))
373.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* eps eps) (* 1 eps)) (- (* eps eps) (* 1 eps)))))
350.0ms
(+ (* (* eps (* eps eps)) (* eps (* eps eps))) (- (* 1 1) (* (* eps (* eps eps)) 1)))
284.0ms
(- (+ (* 2 (log (/ -1 eps))) (log -1)) (+ (/ 1 eps) (* 1/2 (/ 1 (pow eps 2)))))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.9s3418×body1280valid
1.3s2567×body640valid
468.0ms7941×body80nan
308.0ms1232×body320valid
91.0ms578×body160valid
16.0ms205×body80valid