Details

Time bar (total: 6.6s)

sample37.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
8.0ms256×body80valid

simplify161.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ b (+ c d))
2.9b
(+ a (+ b (+ c d)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
2 → 32
Calls
2 calls:
23.0ms
(+ b (+ c d))
78.0ms
(+ a (+ b (+ c d)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ b (+ c d))
42.0ms
(+ a (+ b (+ c d)))

simplify1.4s

Counts
38 → 38

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
71.0ms
(+ a (+ (+ b c) d))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ a (+ (+ b c) d))

simplify1.1s

Counts
20 → 20

prune67.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.7b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b
(+ a (+ (+ b c) d))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
unpow-prod-down cube-prod sum-log
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
110.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
83.0ms
(+ a (+ (+ b c) d))

series97.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
38.0ms
(+ a (+ (+ b c) d))

simplify419.0ms

Counts
52 → 52

prune153.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.7b
(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.9b
(+ (+ a (+ b c)) d)

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
unpow-prod-down cube-prod sum-log
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
+-commutative cube-mult associate-+l+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
126.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
129.0ms
(+ (+ a (+ b c)) d)

series120.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
50.0ms
(+ (+ a (+ b c)) d)

simplify497.0ms

Counts
52 → 52

prune104.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.8b

regimes397.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify99.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
278.0ms8000×body80valid
250.0ms8000×pre80true