Details

Time bar (total: 7.3s)

sample53.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
12.0ms256×pre80true

simplify155.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ b (+ c d))
2.8b
(+ a (+ b (+ c d)))

rewrite87.0ms

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))
70.0ms
(+ a (+ b (+ c d)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ b (+ c d))
37.0ms
(+ a (+ b (+ c d)))

simplify1.2s

Counts
38 → 38

prune78.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite96.0ms

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:
95.0ms
(+ a (+ (+ b c) d))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(+ a (+ (+ b c) d))

simplify959.0ms

Counts
20 → 20

prune62.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite194.0ms

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:
107.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
85.0ms
(+ a (+ (+ b c) d))

series101.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
36.0ms
(+ a (+ (+ b c) d))

simplify383.0ms

Counts
52 → 52

prune141.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.9b
(log (exp (+ a (+ (+ b c) d))))
2.8b
(+ a (+ (+ b c) d))

rewrite418.0ms

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-+r+ flip3-+ rem-log-exp exp-sum flip-+
Counts
2 → 36
Calls
2 calls:
344.0ms
(log (exp (+ a (+ (+ b c) d))))
73.0ms
(+ a (+ (+ b c) d))

series85.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(log (exp (+ a (+ (+ b c) d))))
43.0ms
(+ a (+ (+ b c) d))

simplify1.1s

Counts
42 → 42

prune109.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.8b

regimes732.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify138.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
311.0ms8000×pre80true
276.0ms8000×body80valid