Details

Time bar (total: 4.0s)

sample17.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms239×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142
done42

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite16.0ms

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:
11.0ms
(* x (log x))

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(* x (log x))

simplify194.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198
done500198

prune46.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.0b
(log (sqrt x))
0.2b
(* x (log (sqrt x)))
0.2b
(* x (log (sqrt x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
24×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×sqrt-prod
16×pow1
12×distribute-rgt-in distribute-lft-in associate-*r* log-pow
10×add-exp-log
8×add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
2×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
2.0ms
(log (sqrt x))
2.0ms
(log (sqrt x))
11.0ms
(* x (log (sqrt x)))
11.0ms
(* x (log (sqrt x)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(log (sqrt x))
58.0ms
(log (sqrt x))
101.0ms
(* x (log (sqrt x)))
99.0ms
(* x (log (sqrt x)))

simplify91.0ms

Counts
120 → 120
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0192642
1679572
23087538
35003536
done5003536

prune220.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series729.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
177.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify85.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune324.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series730.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
173.0ms
(cbrt x)
179.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify88.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001256
done5001256

prune325.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.2b 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
067
167
done67

end0.0ms

sample469.0ms

Algorithm
intervals
Results
158.0ms8033×body80valid
97.0ms7874×body80nan