Details

Time bar (total: 7.0s)

sample26.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
6.0ms256×body80valid

simplify106.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2519
31249
41839
51929
done1929

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ b (+ c d))
3.0b
(+ a (+ b (+ c d)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
2 → 32
Calls
2 calls:
7.0ms
(+ b (+ c d))
22.0ms
(+ a (+ b (+ c d)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ b (+ c d))
34.0ms
(+ a (+ b (+ c d)))

simplify1.2s

Counts
38 → 38
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
056350
1171321
2575307
32864307
done5000307

prune85.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
34.0ms
(+ a (+ (+ b c) d))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ a (+ (+ b c) d))

simplify825.0ms

Counts
20 → 20
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
039207
1113195
2414181
32178181
done5000181

prune58.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
3.0b
(+ a (+ (+ b c) d))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
6×unpow-prod-down cube-prod sum-log
5×add-sqr-sqrt add-cube-cbrt
2×pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
1×+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
53.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
33.0ms
(+ a (+ (+ b c) d))

series92.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
31.0ms
(+ a (+ (+ b c) d))

simplify1.6s

Counts
52 → 52
Iterations

Useful iterations: 3 (427.0ms)

IterNodesCost
082767
1210586
2743548
34446545
done5000545

prune124.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (* 1 (+ d (+ a (+ b c)))) 3))
3.0b
(+ d (+ a (+ b c)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-log-exp
8×cbrt-prod
6×sum-log distribute-lft-out
3×add-sqr-sqrt add-cube-cbrt
2×pow1 add-exp-log cube-div cbrt-div flip3-+ associate-*r/ add-cbrt-cube flip-+
1×+-commutative cube-mult unpow-prod-down associate-+r+ pow1/3 unpow3 cube-prod rem-cbrt-cube sqr-pow
Counts
2 → 36
Calls
2 calls:
2.0ms
(cbrt (pow (* 1 (+ d (+ a (+ b c)))) 3))
22.0ms
(+ d (+ a (+ b c)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(cbrt (pow (* 1 (+ d (+ a (+ b c)))) 3))
32.0ms
(+ d (+ a (+ b c)))

simplify1.6s

Counts
42 → 42
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
084627
1222455
2717452
33535452
done5001452

prune103.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

regimes155.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01414
12112
done2112

end0.0ms

sample605.0ms

Algorithm
intervals
Results
200.0ms8000×pre80true
189.0ms8000×body80valid