Details

Time bar (total: 42.7s)

sample156.0ms

Algorithm
intervals
Results
74.0ms98×body1280valid
35.0ms83×body640valid
16.0ms268×body80nan
12.0ms42×body320valid
4.0ms22×body160valid
1.0ms11×body80valid

simplify48.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
48.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize11.0ms

Local error

Found 2 expressions with local error:

5.9b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite40.0ms

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
29.0ms
(/ (- 1 eps) (+ 1 eps))
8.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
101.0ms
(log (/ (- 1 eps) (+ 1 eps)))
37.0ms
(/ (- 1 eps) (+ 1 eps))

simplify4.3s

Counts
102 → 100
Calls
102 calls:
Slowest
394.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
250.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
226.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
217.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
200.0ms
(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune787.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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
(- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
13×add-cbrt-cube associate-*r*
11×pow1
10×*-un-lft-identity add-cube-cbrt
7×associate-*l* prod-exp
6×add-log-exp
5×cbrt-unprod
4×unpow-prod-down pow-prod-down insert-posit16 unswap-sqr
3×*-commutative
2×sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp flip--
Counts
4 → 77
Calls
4 calls:
Slowest
17.0ms
(- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))
14.0ms
(* (* 2/3 eps) eps)
11.0ms
(* -2/5 (pow eps 5))
5.0ms
(* 2/3 eps)

series589.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
464.0ms
(- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))
66.0ms
(* -2/5 (pow eps 5))
41.0ms
(* (* 2/3 eps) eps)
18.0ms
(* 2/3 eps)

simplify3.1s

Counts
49 → 89
Calls
49 calls:
Slowest
642.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
306.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
249.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
233.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
219.0ms
(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))

prune837.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)
0.2b
(* (sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))) (sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))))
0.1b
(* (* 2/3 eps) eps)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×pow1
18×sqrt-prod
17×*-un-lft-identity add-cube-cbrt
15×add-cbrt-cube associate-*r* add-exp-log
13×associate-*l*
12×sqrt-div
8×sqrt-pow1 pow1/2 swap-sqr pow-prod-down
6×flip3-- prod-exp cbrt-unprod flip-- unswap-sqr
5×pow-prod-up
4×frac-times *-commutative insert-posit16 add-log-exp
3×pow-sqr
2×associate-*l/ associate-*r/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 115
Calls
4 calls:
Slowest
81.0ms
(* (sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))) (sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))))
27.0ms
(* (* 2/3 eps) eps)
5.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)

series191.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(* (sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))) (sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps))))
41.0ms
(* (* 2/3 eps) eps)
28.0ms
(* 2/3 eps)
27.0ms
(* 2/3 eps)

simplify16.4s

Counts
111 → 127
Calls
111 calls:
Slowest
751.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
544.0ms
(sqrt (+ (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps)))
355.0ms
(* (sqrt (- (* (* -2/5 (pow eps 5)) (* -2/5 (pow eps 5))) (* (* (+ (* (* 2/3 eps) eps) 2) eps) (* (+ (* (* 2/3 eps) eps) 2) eps)))) (sqrt (- (pow (* -2/5 (pow eps 5)) 3) (pow (* (+ (* (* 2/3 eps) eps) 2) eps) 3))))
312.0ms
(* (sqrt (- (pow (* -2/5 (pow eps 5)) 3) (pow (* (+ (* (* 2/3 eps) eps) 2) eps) 3))) (sqrt (- (* (* -2/5 (pow eps 5)) (* -2/5 (pow eps 5))) (* (* (+ (* (* 2/3 eps) eps) 2) eps) (* (+ (* (* 2/3 eps) eps) 2) eps)))))
291.0ms
(sqrt (- (* -2/5 (pow eps 5)) (* (+ (* (* 2/3 eps) eps) 2) eps)))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.9b
(log (log (exp (/ (- 1 eps) (+ 1 eps)))))
0.0b
(/ (- 1 eps) (+ 1 eps))
0.0b
(exp (/ (- 1 eps) (+ 1 eps)))
0.0b
(log (exp (/ (- 1 eps) (+ 1 eps))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
102×add-sqr-sqrt
96×times-frac
90×exp-prod
63×log-pow
51×add-cube-cbrt
37×log-prod
34×difference-of-squares
25×distribute-lft-out
17×distribute-lft-out--
8×associate-/r/
7×pow1 add-exp-log
6×add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r* flip3-+ flip-+ insert-posit16 div-inv
3×div-sub
2×exp-diff rem-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-exp flip-- rem-exp-log
Counts
4 → 180
Calls
4 calls:
Slowest
42.0ms
(log (exp (/ (- 1 eps) (+ 1 eps))))
22.0ms
(log (log (exp (/ (- 1 eps) (+ 1 eps)))))
21.0ms
(exp (/ (- 1 eps) (+ 1 eps)))
16.0ms
(/ (- 1 eps) (+ 1 eps))

series227.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
88.0ms
(log (log (exp (/ (- 1 eps) (+ 1 eps)))))
62.0ms
(exp (/ (- 1 eps) (+ 1 eps)))
45.0ms
(log (exp (/ (- 1 eps) (+ 1 eps))))
32.0ms
(/ (- 1 eps) (+ 1 eps))

simplify7.2s

Counts
177 → 192
Calls
177 calls:
Slowest
449.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
303.0ms
(- (+ (* 4 (* E (pow eps 2))) E) (* 2 (* E eps)))
232.0ms
(- (+ (exp -1) (* 2 (/ (exp -1) eps))) (* 2/3 (/ (exp -1) (pow eps 3))))
230.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
196.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.6s3429×body1280valid
1.6s2455×body640valid
657.0ms8098×body80nan
364.0ms1265×body320valid
109.0ms643×body160valid
16.0ms208×body80valid