Details

Time bar (total: 10.9s)

sample19.0ms

Algorithm
intervals
Results
5.0ms258×body80valid
3.0ms288×body80nan

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune1.0ms

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))

rewrite9.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
8.0ms
(* x (log x))

series168.0ms

Counts
1 → 3
Calls
1 calls:
168.0ms
(* x (log x))

simplify1.0s

Counts
28 → 28
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
053203
193194
2180170
3284163
41030163
done5000163

prune46.0ms

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 52
Calls
4 calls:
19.0ms
(* (* 2 (log (cbrt x))) x)
22.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (* 2 (log (cbrt x))) x)
328.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
176.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: done (1.3s)

IterNodesCost
089644
1244518
2956419
done5000370

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (* (cbrt (- x)) (cbrt -1)))
0.3b
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
0.6b
(cbrt (- x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-exp-log
10×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
6×associate-*r* log-pow
5×pow1/3
4×prod-exp
3×distribute-lft-neg-in log-prod distribute-rgt-neg-in cbrt-unprod add-log-exp
2×rem-log-exp
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
8.0ms
(log (* (cbrt (- x)) (cbrt -1)))
30.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
2.0ms
(cbrt (- x))

series963.0ms

Counts
3 → 9
Calls
3 calls:
320.0ms
(log (* (cbrt (- x)) (cbrt -1)))
450.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
193.0ms
(cbrt (- x))

simplify1.5s

Counts
63 → 63
Iterations

Useful iterations: 3 (690.0ms)

IterNodesCost
095633
1200602
2675507
32710498
done5001498

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3 x) (log (* (* (cbrt (- (sqrt x))) (cbrt (sqrt x))) (cbrt -1))))
0.6b
(* (cbrt (- (sqrt x))) (cbrt (sqrt x)))
0.6b
(cbrt (- (sqrt x)))
0.6b
(cbrt (sqrt x))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
33×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
20×associate-*l* sqrt-prod
17×pow1
16×associate-*r*
12×distribute-lft-neg-in distribute-rgt-neg-in
11×add-exp-log
10×pow-prod-down
9×add-cbrt-cube
7×pow1/3
6×unswap-sqr
4×prod-exp log-pow cbrt-unprod add-log-exp
2×neg-mul-1 log-prod *-commutative
1×distribute-rgt-in distribute-lft-in
Counts
4 → 108
Calls
4 calls:
95.0ms
(* (* 3 x) (log (* (* (cbrt (- (sqrt x))) (cbrt (sqrt x))) (cbrt -1))))
22.0ms
(* (cbrt (- (sqrt x))) (cbrt (sqrt x)))
3.0ms
(cbrt (- (sqrt x)))
2.0ms
(cbrt (sqrt x))

series1.0s

Counts
4 → 12
Calls
4 calls:
456.0ms
(* (* 3 x) (log (* (* (cbrt (- (sqrt x))) (cbrt (sqrt x))) (cbrt -1))))
195.0ms
(* (cbrt (- (sqrt x))) (cbrt (sqrt x)))
204.0ms
(cbrt (- (sqrt x)))
146.0ms
(cbrt (sqrt x))

simplify2.6s

Counts
120 → 120
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01691406
13731337
211321192
343221165
done50001163

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

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

sample489.0ms

Algorithm
intervals
Results
160.0ms8034×body80valid
98.0ms8162×body80nan