Details

Time bar (total: 12.4s)

sample28.0ms

Algorithm
intervals
Results
8.0ms258×body80valid
6.0ms283×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite8.0ms

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 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
7.0ms
(* x (log x))

series305.0ms

Counts
1 → 3
Calls
1 calls:
304.0ms
(* x (log x))

simplify1.4s

Counts
30 → 30
Iterations
IterNodes
done5001
31676
2293
1109
055

prune114.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.0b
(log (sqrt x))
0.3b
(* x (log (sqrt x)))
0.3b
(* x (log (sqrt x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
24×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
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:
3.0ms
(log (sqrt x))
4.0ms
(log (sqrt x))
12.0ms
(* x (log (sqrt x)))
10.0ms
(* x (log (sqrt x)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(log (sqrt x))
72.0ms
(log (sqrt x))
112.0ms
(* x (log (sqrt x)))
129.0ms
(* x (log (sqrt x)))

simplify2.2s

Counts
120 → 120
Iterations
IterNodes
done5000
34066
2732
1213
096

prune383.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (+ (log (fabs (cbrt x))) (log (sqrt (cbrt x)))))
0.3b
(+ (log (fabs (cbrt x))) (log (sqrt (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×add-sqr-sqrt pow1
13×add-cube-cbrt
12×log-prod
9×cbrt-prod associate-+r+ log-pow
8×distribute-lft-out
7×associate-*r*
6×add-cbrt-cube add-exp-log sqrt-prod
4×expm1-log1p-u fma-def log1p-expm1-u add-log-exp
3×associate-+l+ associate-*l*
2×flip3-+ pow1/3 associate-*r/ flip-+
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 87
Calls
4 calls:
45.0ms
(* x (+ (log (fabs (cbrt x))) (log (sqrt (cbrt x)))))
17.0ms
(+ (log (fabs (cbrt x))) (log (sqrt (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
629.0ms
(* x (+ (log (fabs (cbrt x))) (log (sqrt (cbrt x)))))
399.0ms
(+ (log (fabs (cbrt x))) (log (sqrt (cbrt x))))
232.0ms
(cbrt x)
246.0ms
(cbrt x)

simplify1.2s

Counts
99 → 99
Iterations
IterNodes
done5002
21108
1312
0128

prune629.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (sqrt x)))
0.3b
(+ (log (fabs (pow x 1/3))) (log (sqrt (cbrt x))))
0.6b
(cbrt x)
5.2b
(pow x 1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×*-un-lft-identity
20×add-sqr-sqrt
18×add-cube-cbrt
14×pow1
12×sqrt-prod
9×associate-+r+
8×log-pow
7×add-exp-log
6×cbrt-prod distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*r*
4×expm1-log1p-u fma-def log1p-expm1-u distribute-lft-out add-log-exp
3×pow-unpow associate-+l+ unpow-prod-down associate-*l*
1×pow-to-exp +-commutative sum-log pow-pow sqrt-pow1 flip3-+ pow1/2 unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 101
Calls
4 calls:
9.0ms
(* x (log (sqrt x)))
11.0ms
(+ (log (fabs (pow x 1/3))) (log (sqrt (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series1.4s

Counts
4 → 12
Calls
4 calls:
126.0ms
(* x (log (sqrt x)))
761.0ms
(+ (log (fabs (pow x 1/3))) (log (sqrt (cbrt x))))
224.0ms
(cbrt x)
271.0ms
(pow x 1/3)

simplify965.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
21380
1440
0194

prune666.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample843.0ms

Algorithm
intervals
Results
280.0ms8043×body80valid
221.0ms8027×body80nan