Details

Time bar (total: 17.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
7.0ms229×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 28
Calls
1 calls:
14.0ms
(* x (log x))

series297.0ms

Counts
1 → 3
Calls
1 calls:
296.0ms
(* x (log x))

simplify2.4s

Counts
31 → 31
Iterations
IterNodes
done5000
42284
3557
2222
1102
056

prune114.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow1
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×pow1/3 associate-*r*
2×associate-+l+ log-pow
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
7.0ms
(* (log (cbrt x)) x)
12.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
539.0ms
(* (log (cbrt x)) x)
452.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
243.0ms
(cbrt x)
268.0ms
(cbrt x)

simplify2.3s

Counts
81 → 81
Iterations
IterNodes
done5001
2990
1258
093

prune424.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt x)) x)
0.3b
(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* (log (cbrt x)) x))
0.6b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
13×unpow-prod-down
11×add-exp-log
9×pow1 times-frac
6×add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u pow-exp insert-posit16 log1p-expm1-u
3×cbrt-prod pow-unpow pow-pow associate-*r*
2×associate-+l+ pow1/3 div-exp log-pow
1×distribute-rgt-in pow-to-exp +-commutative rec-exp sum-log fma-def distribute-lft-in flip3-+ 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv pow-flip inv-pow unswap-sqr sqr-pow
Counts
4 → 89
Calls
4 calls:
12.0ms
(* (log (cbrt x)) x)
24.0ms
(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* (log (cbrt x)) x))
2.0ms
(cbrt x)
13.0ms
(pow (/ 1 x) -1/3)

series2.0s

Counts
4 → 12
Calls
4 calls:
483.0ms
(* (log (cbrt x)) x)
933.0ms
(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* (log (cbrt x)) x))
297.0ms
(cbrt x)
322.0ms
(pow (/ 1 x) -1/3)

simplify3.3s

Counts
101 → 101
Iterations
IterNodes
done5000
34950
21418
1486
0175

prune486.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (cbrt x))
0.4b
(* (log (cbrt x)) (* x 3))
0.6b
(cbrt x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-exp-log
8×add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-prod log-prod
5×associate-*l*
4×log-pow
3×expm1-log1p-u pow1/3 pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×rem-log-exp associate-*r* *-commutative
Counts
3 → 56
Calls
3 calls:
3.0ms
(log (cbrt x))
26.0ms
(* (log (cbrt x)) (* x 3))
1.0ms
(cbrt x)

series1.5s

Counts
3 → 9
Calls
3 calls:
347.0ms
(log (cbrt x))
866.0ms
(* (log (cbrt x)) (* x 3))
243.0ms
(cbrt x)

simplify1.9s

Counts
65 → 65
Iterations
IterNodes
done5001
31599
2488
1182
085

prune190.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done4
14
03

end0.0ms

sample1.2s

Algorithm
intervals
Results
526.0ms8042×body80valid
419.0ms8008×body80nan