Details

Time bar (total: 8.3s)

sample39.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms256×pre80true

simplify375.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31449
43079
54619
65219
75229
done5229

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.9b
(+ a (+ b (+ c d)))

rewrite67.0ms

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:
16.0ms
(+ b (+ c d))
50.0ms
(+ a (+ b (+ c d)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ b (+ c d))
44.0ms
(+ a (+ b (+ c d)))

simplify669.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
056350
1171321
2815307
done5000307

prune111.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 1 expressions with local error:

2.9b
(+ a (+ (+ b c) d))

rewrite94.0ms

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:
93.0ms
(+ a (+ (+ b c) d))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(+ a (+ (+ b c) d))

simplify1.8s

Counts
20 → 20
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
039207
1113195
2471181
33323181
done5001181

prune87.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b
(+ a (+ (+ b c) d))

rewrite278.0ms

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:
165.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
110.0ms
(+ a (+ (+ b c) d))

series129.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
50.0ms
(+ a (+ (+ b c) d))

simplify1.1s

Counts
52 → 52
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
082767
1230586
21453548
done5001548

prune215.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (* 1 (+ d (+ a (+ b c)))) 3))
2.9b
(+ d (+ a (+ b c)))

rewrite62.0ms

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:
3.0ms
(cbrt (pow (* 1 (+ d (+ a (+ b c)))) 3))
58.0ms
(+ d (+ a (+ b c)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(cbrt (pow (* 1 (+ d (+ a (+ b c)))) 3))
41.0ms
(+ d (+ a (+ b c)))

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
084627
1245455
21522452
done5001452

prune174.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

regimes205.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01414
12112
22212
done2212

end0.0ms

sample1.5s

Algorithm
intervals
Results
341.0ms8000×body80valid
328.0ms8000×pre80true