Details

Time bar (total: 14.2s)

sample29.0ms

Algorithm
intervals
Results
7.0ms43×body1280valid
5.0ms33×body640valid
5.0ms139×body80valid
3.0ms31×body320valid
1.0ms10×body160valid

simplify16.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize11.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.2b
(cbrt (+ x 1))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 102
Calls
3 calls:
Slowest
52.0ms
(- (cbrt (+ x 1)) (cbrt x))
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series434.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
274.0ms
(cbrt x)
117.0ms
(- (cbrt (+ x 1)) (cbrt x))
44.0ms
(cbrt (+ x 1))

simplify1.0s

Counts
111 → 111

prune989.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.2b
(cbrt (+ 1 x))
0.2b
(cbrt (+ 1 x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 62
Calls
4 calls:
Slowest
5.0ms
(cbrt (+ 1 x))
4.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series667.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
301.0ms
(cbrt x)
255.0ms
(cbrt x)
57.0ms
(cbrt (+ 1 x))
54.0ms
(cbrt (+ 1 x))

simplify856.0ms

Counts
74 → 74

prune882.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.3b
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
0.2b
(cbrt (cbrt (+ 1 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
18×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
7×flip3-+ flip-+
4×expm1-log1p-u frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/ associate-*r/
1×distribute-lft-out
Counts
4 → 68
Calls
4 calls:
Slowest
8.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
3.0ms
(cbrt (cbrt (+ 1 x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series719.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
318.0ms
(cbrt x)
309.0ms
(cbrt x)
49.0ms
(cbrt (cbrt (+ 1 x)))
43.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

simplify1.8s

Counts
80 → 80

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.3b
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
0.3b
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
12×flip3-+ flip-+
8×cbrt-prod frac-times
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 associate-*l/ associate-*r/ add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 68
Calls
4 calls:
Slowest
13.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
8.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series728.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
320.0ms
(cbrt x)
306.0ms
(cbrt x)
54.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
47.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

simplify1.9s

Counts
80 → 80

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes91.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch7.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
511.0ms1792×body1280valid
295.0ms1188×body640valid
228.0ms4039×body80valid
119.0ms648×body320valid
30.0ms333×body160valid