Details

Time bar (total: 5.4s)

sample25.0ms

Algorithm
intervals
Results
8.0ms59×body1280valid
4.0ms41×body640valid
3.0ms126×body80valid
1.0ms18×body320valid
1.0ms12×body160valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
2.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite58.0ms

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)
52.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series455.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(cbrt (+ x 1.0))
198.0ms
(cbrt x)
160.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify153.0ms

Counts
53 → 53

prune156.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.4b
(pow x 2/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
5×pow1 add-exp-log
4×cbrt-div add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
3.0ms
(pow x 2/3)

series628.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (+ x 1.0))
98.0ms
(cbrt (+ x 1.0))
213.0ms
(cbrt x)
215.0ms
(pow x 2/3)

simplify94.0ms

Counts
68 → 68

prune245.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
33.4b
(cbrt (pow x 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
3×unpow-prod-down
2×flip3-+ flip-+ distribute-lft-out
1×unpow2 sqr-pow
Counts
4 → 55
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series629.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (+ x 1.0))
98.0ms
(cbrt (+ x 1.0))
209.0ms
(cbrt x)
222.0ms
(cbrt (pow x 2))

simplify97.0ms

Counts
67 → 67

prune281.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (pow (cbrt x) 2))
15.0b
(cbrt (pow (* (cbrt x) (cbrt x)) 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×unpow2 sqr-pow
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(cbrt (pow (cbrt x) 2))
10.0ms
(cbrt (pow (* (cbrt x) (cbrt x)) 2))

series1.1s

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt x)
214.0ms
(cbrt x)
325.0ms
(cbrt (pow (cbrt x) 2))
338.0ms
(cbrt (pow (* (cbrt x) (cbrt x)) 2))

simplify64.0ms

Counts
67 → 67

prune307.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.2b

regimes85.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample881.0ms

Algorithm
intervals
Results
272.0ms1728×body1280valid
224.0ms1225×body640valid
155.0ms4108×body80valid
49.0ms650×body320valid
15.0ms289×body160valid