Details

Time bar (total: 2.6s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
5.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1534
21454
32684
42904
52904
done2904

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.8b
(+ a (+ b (+ c d)))

rewrite62.0ms

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:
15.0ms
(+ b (+ c d))
46.0ms
(+ a (+ b (+ c d)))

series51.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ b (+ c d))
35.0ms
(+ a (+ b (+ c d)))

simplify84.0ms

Counts
38 → 38
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170150
1667143
24074143
35001143
done5001143

prune74.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b
(+ a (+ (+ b c) d))

rewrite65.0ms

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:
65.0ms
(+ a (+ (+ b c) d))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ a (+ (+ b c) d))

simplify63.0ms

Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011292
146385
2303285
3500285
done500285

prune44.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b
(+ a (+ (+ b c) d))

rewrite160.0ms

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:
94.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
64.0ms
(+ a (+ (+ b c) d))

series90.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
35.0ms
(+ a (+ (+ b c) d))

simplify30.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210277
1906275
25001273
done5001273

prune102.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.8b
(+ a (+ (+ b c) d))

rewrite359.0ms

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-+r+
Counts
3 → 105
Calls
3 calls:
96.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
193.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
65.0ms
(+ a (+ (+ b c) d))

series149.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
59.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
32.0ms
(+ a (+ (+ b c) d))

simplify34.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0342710
11021706
25001702
done5001702

prune118.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.0b

regimes385.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134
done134

end0.0ms

sample593.0ms

Algorithm
intervals
Results
168.0ms8000×pre80true
151.0ms8000×body80valid