Details

Time bar (total: 32.9s)

sample179.0ms

Algorithm
intervals
Results
99.0ms120×body1280valid
37.0ms83×body640valid
17.0ms263×body80nan
8.0ms29×body320valid
3.0ms20×body160valid
0.0ms4×body80valid

simplify22.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize17.0ms

Local error

Found 2 expressions with local error:

6.0b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite38.0ms

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
28.0ms
(/ (- 1 eps) (+ 1 eps))
6.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
90.0ms
(log (/ (- 1 eps) (+ 1 eps)))
23.0ms
(/ (- 1 eps) (+ 1 eps))

simplify3.9s

Counts
102 → 100
Calls
102 calls:
Slowest
413.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
204.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
190.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
182.0ms
(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))
177.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune604.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.4b
(* 2/3 eps)
0.1b
(* (* 2/3 eps) eps)
0.1b
(* -2/5 (pow eps 5))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×add-exp-log
13×associate-*r*
12×add-cbrt-cube
10×pow1
9×*-un-lft-identity add-cube-cbrt
7×associate-*l* prod-exp
5×cbrt-unprod
4×unpow-prod-down pow-prod-down unswap-sqr
3×*-commutative insert-posit16 add-log-exp
2×sqr-pow
1×pow-to-exp pow-exp
Counts
3 → 64
Calls
3 calls:
Slowest
19.0ms
(* (* 2/3 eps) eps)
15.0ms
(* -2/5 (pow eps 5))
6.0ms
(* 2/3 eps)

series130.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(* -2/5 (pow eps 5))
41.0ms
(* (* 2/3 eps) eps)
27.0ms
(* 2/3 eps)

simplify1.6s

Counts
45 → 73
Calls
45 calls:
Slowest
250.0ms
(* (* (* -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))
203.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
175.0ms
(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
141.0ms
(* (sqrt -2/5) (pow eps (/ 5 2)))

prune686.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

6.1b
(log (cbrt (- 1 eps)))
6.1b
(log (cbrt (- 1 eps)))
6.1b
(log (/ (cbrt (- 1 eps)) (+ 1 eps)))
0.0b
(/ (cbrt (- 1 eps)) (+ 1 eps))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
117×*-un-lft-identity
79×add-sqr-sqrt
72×times-frac
66×cbrt-prod
60×log-prod
46×add-cube-cbrt
22×difference-of-squares
19×distribute-lft-out
11×add-exp-log distribute-lft-out--
9×associate-/l*
7×pow1
6×cbrt-div
5×log-div add-cbrt-cube log-pow
4×associate-/r* rem-log-exp associate-/r/ insert-posit16 add-log-exp
3×flip3-- flip--
2×flip3-+ pow1/3 div-exp flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg
Counts
4 → 164
Calls
4 calls:
Slowest
13.0ms
(/ (cbrt (- 1 eps)) (+ 1 eps))
10.0ms
(log (/ (cbrt (- 1 eps)) (+ 1 eps)))
8.0ms
(log (cbrt (- 1 eps)))
7.0ms
(log (cbrt (- 1 eps)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(log (/ (cbrt (- 1 eps)) (+ 1 eps)))
68.0ms
(/ (cbrt (- 1 eps)) (+ 1 eps))
56.0ms
(log (cbrt (- 1 eps)))
49.0ms
(log (cbrt (- 1 eps)))

simplify8.0s

Counts
171 → 176
Calls
171 calls:
Slowest
672.0ms
(- (+ (pow (/ -1 (pow eps 2)) 1/3) (* 11/9 (pow (/ -1 (pow eps 8)) 1/3))) (* 4/3 (pow (/ -1 (pow eps 5)) 1/3)))
471.0ms
(- (+ (* 1/3 (/ 1 (pow eps 2))) (+ (log (/ -1 eps)) (log (* -1 (pow (* eps -1) 1/3))))) (* 4/3 (/ 1 eps)))
457.0ms
(/ (- 1 eps) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
349.0ms
(- (log (pow (/ -1 eps) -1/3)) (+ (* 1/3 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 2)))))
339.0ms
(- (+ (* 1/3 (/ 1 (pow eps 2))) (+ (* 2/3 (log (/ 1 eps))) (* 1/3 (log -1)))) (* 4/3 (/ 1 eps)))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

6.2b
(log (cbrt (* (cbrt (- 1 eps)) (cbrt (- 1 eps)))))
6.1b
(log (cbrt (- 1 eps)))
6.1b
(log (cbrt (- 1 eps)))
6.1b
(log (/ (cbrt (cbrt (- 1 eps))) (+ 1 eps)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
76×log-prod *-un-lft-identity
73×cbrt-prod
52×add-sqr-sqrt
48×times-frac
34×add-cube-cbrt
24×cbrt-div
13×log-div
12×distribute-lft-out difference-of-squares
10×add-exp-log
8×pow1 flip3-- flip--
7×log-pow
6×distribute-lft-out--
5×rem-log-exp
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
3×pow1/3
2×associate-*l/ associate-*r/ associate-/r/
1×flip3-+ div-exp flip-+ div-inv
Counts
4 → 133
Calls
4 calls:
Slowest
15.0ms
(log (cbrt (* (cbrt (- 1 eps)) (cbrt (- 1 eps)))))
7.0ms
(log (cbrt (- 1 eps)))
6.0ms
(log (/ (cbrt (cbrt (- 1 eps))) (+ 1 eps)))
4.0ms
(log (cbrt (- 1 eps)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(log (/ (cbrt (cbrt (- 1 eps))) (+ 1 eps)))
87.0ms
(log (cbrt (- 1 eps)))
66.0ms
(log (cbrt (- 1 eps)))
63.0ms
(log (cbrt (* (cbrt (- 1 eps)) (cbrt (- 1 eps)))))

simplify8.2s

Counts
106 → 145
Calls
106 calls:
Slowest
470.0ms
(- (+ (log (* -1 (pow (* eps -1) 1/9))) (+ (* 4/9 (/ 1 (pow eps 2))) (log (/ -1 eps)))) (* 10/9 (/ 1 eps)))
402.0ms
(- (+ (* 4/9 (/ 1 (pow eps 2))) (+ (* 8/9 (log (/ 1 eps))) (* 1/9 (log -1)))) (* 10/9 (/ 1 eps)))
368.0ms
(log (cbrt (* (cbrt (- 1 eps)) (cbrt (- (pow 1 3) (pow eps 3))))))
353.0ms
(- (log (pow (/ -1 eps) -1/3)) (+ (* 1/3 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 2)))))
350.0ms
(log (cbrt (* (cbrt (- (pow 1 3) (pow eps 3))) (cbrt (- 1 eps)))))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.3s3455×body1280valid
1.3s2493×body640valid
601.0ms8123×body80nan
356.0ms1237×body320valid
109.0ms617×body160valid
15.0ms198×body80valid