Details

Time bar (total: 15.8s)

sample26.0ms

Algorithm
intervals
Results
8.0ms67×body1280valid
5.0ms44×body640valid
3.0ms116×body80valid
2.0ms23×body320valid
0.0ms6×body160valid

simplify19.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
102.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series621.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(cbrt (+ x 1.0))
260.0ms
(cbrt x)
234.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.7s

Counts
53 → 53

prune172.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt x) (cbrt x))
284.0ms
(cbrt x)
313.0ms
(cbrt x)
207.0ms
(cbrt x)

simplify973.0ms

Counts
85 → 85

prune353.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
2.0ms
(cbrt x)
10.0ms
(cbrt x)
2.0ms
(cbrt x)
11.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt x)
276.0ms
(cbrt x)
299.0ms
(cbrt x)
397.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify788.0ms

Counts
54 → 54

prune381.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.6s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt x)
451.0ms
(cbrt (* (cbrt x) (cbrt x)))
365.0ms
(cbrt (* (cbrt x) (cbrt x)))
441.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify741.0ms

Counts
50 → 50

prune324.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0.2b

regimes112.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.9s

end0.0ms

sample1.4s

Algorithm
intervals
Results
612.0ms1210×body640valid
369.0ms1774×body1280valid
166.0ms4101×body80valid
59.0ms615×body320valid
19.0ms300×body160valid