Details

Time bar (total: 8.9s)

sample63.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
12.0ms256×pre80true

simplify225.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31449
42539
52549
done2549

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.7b
(+ a (+ b (+ c d)))

rewrite69.0ms

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:
18.0ms
(+ b (+ c d))
49.0ms
(+ a (+ b (+ c d)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ b (+ c d))
59.0ms
(+ a (+ b (+ c d)))

simplify1.9s

Counts
38 → 38
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
056350
1167321
2664307
33982307
done5000307

prune78.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite93.0ms

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:
92.0ms
(+ a (+ (+ b c) d))

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ a (+ (+ b c) d))

simplify1.5s

Counts
20 → 20
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
039207
1108195
2458181
32978181
done5000181

prune64.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b
(+ a (+ (+ b c) d))

rewrite197.0ms

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:
116.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
78.0ms
(+ a (+ (+ b c) d))

series133.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
52.0ms
(+ a (+ (+ b c) d))

simplify599.0ms

Counts
52 → 52
Iterations

Useful iterations: done (597.0ms)

IterNodesCost
082767
1205586
2783548
done5000545

prune133.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 1.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (pow (+ (+ d (+ b c)) a) 3))
0.6b
(cbrt (pow (cbrt (pow (+ (+ d (+ b c)) a) 3)) 3))
2.7b
(+ (+ d (+ b c)) a)

rewrite593.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-prod
78×*-un-lft-identity
42×distribute-lft-out
39×unpow-prod-down cube-prod
15×add-sqr-sqrt add-cube-cbrt
12×add-log-exp
6×cube-div cbrt-div sum-log
4×cube-mult unpow3 sqr-pow
3×pow1 add-exp-log flip3-+ add-cbrt-cube flip-+
2×pow1/3 rem-cbrt-cube
1×+-commutative associate-+l+
Counts
3 → 105
Calls
3 calls:
171.0ms
(cbrt (pow (+ (+ d (+ b c)) a) 3))
267.0ms
(cbrt (pow (cbrt (pow (+ (+ d (+ b c)) a) 3)) 3))
146.0ms
(+ (+ d (+ b c)) a)

series196.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(cbrt (pow (+ (+ d (+ b c)) a) 3))
77.0ms
(cbrt (pow (cbrt (pow (+ (+ d (+ b c)) a) 3)) 3))
50.0ms
(+ (+ d (+ b c)) a)

simplify624.0ms

Counts
114 → 114
Iterations

Useful iterations: done (619.0ms)

IterNodesCost
01282293
12991482
28571361
done50001349

prune219.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 1.9b

regimes668.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample1.4s

Algorithm
intervals
Results
370.0ms8000×body80valid
250.0ms8000×pre80true