Details

Time bar (total: 9.7s)

sample36.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms256×pre80true

simplify332.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31449
42539
52549
done2549

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite116.0ms

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:
28.0ms
(+ b (+ c d))
87.0ms
(+ a (+ b (+ c d)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ b (+ c d))
56.0ms
(+ a (+ b (+ c d)))

simplify2.0s

Counts
38 → 38
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
056350
1167321
2664307
33982307
done5000307

prune99.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

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:
82.0ms
(+ a (+ (+ b c) d))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(+ a (+ (+ b c) d))

simplify1.7s

Counts
20 → 20
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
039207
1108195
2458181
32978181
done5000181

prune66.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite232.0ms

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:
118.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
110.0ms
(+ a (+ (+ b c) d))

series155.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
53.0ms
(+ a (+ (+ b c) d))

simplify542.0ms

Counts
52 → 52
Iterations

Useful iterations: done (540.0ms)

IterNodesCost
082767
1205586
2783548
done5000545

prune157.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.8b
(log (exp (+ (+ d (+ b c)) a)))
2.9b
(+ (+ d (+ b c)) a)

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×distribute-lft-out
11×add-log-exp
7×log-pow
6×exp-prod sum-log
4×add-sqr-sqrt add-cube-cbrt log-prod
3×pow1
2×add-exp-log add-cbrt-cube
1×+-commutative associate-+l+ flip3-+ rem-log-exp exp-sum flip-+
Counts
2 → 36
Calls
2 calls:
336.0ms
(log (exp (+ (+ d (+ b c)) a)))
146.0ms
(+ (+ d (+ b c)) a)

series77.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(log (exp (+ (+ d (+ b c)) a)))
41.0ms
(+ (+ d (+ b c)) a)

simplify1.5s

Counts
42 → 42
Iterations

Useful iterations: 3 (428.0ms)

IterNodesCost
063443
1132394
2436358
32485354
done5001354

prune147.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.9b

regimes236.0ms

Accuracy

0% (1.0b remaining)

Error of 2.8b against oracle of 1.8b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample1.6s

Algorithm
intervals
Results
420.0ms8000×body80valid
414.0ms8000×pre80true