Details

Time bar (total: 12.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms276×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))

series177.0ms

Counts
1 → 3
Calls
1 calls:
177.0ms
(* x (log x))

simplify3.5s

Counts
30 → 30
Iterations

Useful iterations: 4 (238.0ms)

IterNodesCost
055213
195204
2181180
3269175
4826173
52709173
done5000173

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite21.0ms

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))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (* 2 (log (cbrt x))) x)
349.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
173.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0125867
1307778
21110592
done5000576

prune244.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series847.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
180.0ms
(cbrt x)
242.0ms
(cbrt (cbrt x))
241.0ms
(cbrt (cbrt x))

simplify2.1s

Counts
70 → 70
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
046374
179358
2151330
3303318
4863318
53549318
done5001318

prune266.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (log (cbrt x)) 2 (log (cbrt (sqrt x))))
0.6b
(cbrt x)
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 55
Calls
4 calls:
0.0ms
(fma (log (cbrt x)) 2 (log (cbrt (sqrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))

series881.0ms

Counts
4 → 12
Calls
4 calls:
396.0ms
(fma (log (cbrt x)) 2 (log (cbrt (sqrt x))))
180.0ms
(cbrt x)
152.0ms
(cbrt (sqrt x))
152.0ms
(cbrt (sqrt x))

simplify1.5s

Counts
67 → 67
Iterations

Useful iterations: done (1.5s)

IterNodesCost
087517
1177489
2432427
31346396
done5000392

prune260.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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
034
144
done44

end0.0ms

sample450.0ms

Algorithm
intervals
Results
163.0ms8027×body80valid
105.0ms8165×body80nan