Details

Time bar (total: 2.7s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
7.0ms256×body80valid

simplify8.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.9b
(+ 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:
16.0ms
(+ b (+ c d))
52.0ms
(+ a (+ b (+ c d)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ b (+ c d))
33.0ms
(+ a (+ b (+ c d)))

simplify74.0ms

Counts
38 → 38

prune82.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

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:
69.0ms
(+ a (+ (+ b c) d))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ a (+ (+ b c) d))

simplify59.0ms

Counts
20 → 20

prune57.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite172.0ms

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:
101.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
69.0ms
(+ a (+ (+ b c) d))

series94.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
34.0ms
(+ a (+ (+ b c) d))

simplify26.0ms

Counts
52 → 52

prune109.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite198.0ms

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-+l+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
103.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
93.0ms
(+ (+ a (+ b c)) d)

series92.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
36.0ms
(+ (+ a (+ b c)) d)

simplify25.0ms

Counts
52 → 52

prune93.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.8b

regimes467.0ms

Accuracy

0% (1.1b remaining)

Error of 2.8b against oracle of 1.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample891.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
245.0ms8000×pre80true