Details

Time bar (total: 12.3s)

sample18.0ms

Algorithm
intervals
Results
6.0ms257×body80valid
4.0ms278×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
4.0ms
(* x (log x))

series173.0ms

Counts
1 → 3
Calls
1 calls:
173.0ms
(* x (log x))

simplify3.9s

Counts
30 → 30
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
055213
195204
2272180
3708173
42577173
done5000173

prune55.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
349.0ms
(* (* 2 (log (cbrt x))) x)
348.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
177.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify634.0ms

Counts
84 → 84
Iterations

Useful iterations: done (632.0ms)

IterNodesCost
0125867
1307776
21090586
done5000570

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-+r+ log-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×unpow-prod-down add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-prod pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow1/3 associate-*l* pow-exp sum-log *-commutative flip-+
Counts
4 → 81
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
11.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
0.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (* 2 (log (cbrt x))) x)
459.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
179.0ms
(cbrt x)
179.0ms
(pow x 1/3)

simplify673.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
01631000
1398827
21445640
done5000640

prune266.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma 2 (log (cbrt x)) (* 1/6 (log x)))
0.4b
(* 1/6 (log x))
0.6b
(cbrt x)
4.1b
(pow x (/ 1/3 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
13×pow-unpow
9×times-frac
8×pow1
7×add-exp-log
6×log-prod add-cbrt-cube
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in unpow-prod-down distribute-lft-in associate-*l*
1×pow-to-exp pow-pow pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod fma-udef div-inv unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma 2 (log (cbrt x)) (* 1/6 (log x)))
4.0ms
(* 1/6 (log x))
0.0ms
(cbrt x)
2.0ms
(pow x (/ 1/3 2))

series922.0ms

Counts
4 → 12
Calls
4 calls:
420.0ms
(fma 2 (log (cbrt x)) (* 1/6 (log x)))
144.0ms
(* 1/6 (log x))
184.0ms
(cbrt x)
173.0ms
(pow x (/ 1/3 2))

simplify2.4s

Counts
91 → 91
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0154712
1311607
2918547
33833470
done5001466

prune290.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

end0.0ms

sample467.0ms

Algorithm
intervals
Results
176.0ms8041×body80valid
105.0ms8016×body80nan