Details

Time bar (total: 20.4s)

sample22.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
5.0ms335×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite20.0ms

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:
18.0ms
(* x (log x))

series239.0ms

Counts
1 → 3
Calls
1 calls:
238.0ms
(* x (log x))

simplify2.4s

Counts
30 → 30
Iterations

Useful iterations: 3 (150.0ms)

IterNodesCost
055213
195204
2183180
3283173
41038173
done5001173

prune71.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 68
Calls
4 calls:
21.0ms
(* (log (cbrt x)) x)
39.0ms
(* (* 2 (log (cbrt x))) x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
438.0ms
(* (log (cbrt x)) x)
538.0ms
(* (* 2 (log (cbrt x))) x)
234.0ms
(cbrt x)
282.0ms
(cbrt x)

simplify4.4s

Counts
80 → 80
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
089565
1197535
2728437
33121431
done5001431

prune234.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
15×associate-*r*
14×add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×log-prod distribute-neg-in
6×distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u
3×cbrt-prod distribute-rgt-neg-out
2×associate-*l* log-pow *-commutative
1×+-commutative neg-mul-1 fma-def flip3-+ pow1/3 unsub-neg sum-log flip-+
Counts
4 → 91
Calls
4 calls:
39.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (* x -1/3) (- (log x))))
29.0ms
(* (* 2 (log (cbrt x))) x)
42.0ms
(* (* x -1/3) (- (log x)))
2.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
624.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (* x -1/3) (- (log x))))
389.0ms
(* (* 2 (log (cbrt x))) x)
283.0ms
(* (* x -1/3) (- (log x)))
233.0ms
(cbrt x)

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01841186
14951066
22045761
done5000736

prune254.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (* 2 (log (cbrt x))) x (* (* x -1/3) (- (log x))))
0.3b
(* x -1/3)
0.3b
(* (* x -1/3) (- (log x)))
0.6b
(cbrt x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r*
14×add-sqr-sqrt
13×pow1
12×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
6×log-prod distribute-neg-in
4×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in
2×log-pow *-commutative
1×neg-mul-1 pow1/3 distribute-rgt-neg-out fma-udef unswap-sqr
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma (* 2 (log (cbrt x))) x (* (* x -1/3) (- (log x))))
7.0ms
(* x -1/3)
31.0ms
(* (* x -1/3) (- (log x)))
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
667.0ms
(fma (* 2 (log (cbrt x))) x (* (* x -1/3) (- (log x))))
19.0ms
(* x -1/3)
276.0ms
(* (* x -1/3) (- (log x)))
263.0ms
(cbrt x)

simplify4.9s

Counts
91 → 91
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
0150826
1352774
21148554
34491501
done5000501

prune353.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
01316
12014
22414
33213
done3213

end0.0ms

sample734.0ms

Algorithm
intervals
Results
223.0ms8039×body80valid
156.0ms8126×body80nan