Details

Time bar (total: 29.5s)

sample72.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms256×pre80true

simplify457.0ms

Counts
1 → 1
Iterations
IterNodes
done285
5285
4252
3123
251
117
09

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
2 → 34
Calls
2 calls:
21.0ms
(+ b (+ c d))
60.0ms
(+ a (+ b (+ c d)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ b (+ c d))
74.0ms
(+ a (+ b (+ c d)))

simplify4.3s

Counts
40 → 40
Iterations
IterNodes
done5013
32998
2601
1166
057

prune563.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 18
Calls
1 calls:
135.0ms
(+ a (+ (+ b c) d))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(+ a (+ (+ b c) d))

simplify4.6s

Counts
21 → 21
Iterations
IterNodes
done5015
32883
2518
1110
041

prune379.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
associate-*r/
add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
+-commutative associate-+r+
cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 91
Calls
4 calls:
886.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
147.0ms
(+ a (+ (+ b c) d))
124.0ms
(+ a (+ (+ b c) d))
135.0ms
(+ a (+ (+ b c) d))

series263.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
52.0ms
(+ a (+ (+ b c) d))
60.0ms
(+ a (+ (+ b c) d))
66.0ms
(+ a (+ (+ b c) d))

simplify3.7s

Counts
103 → 103
Iterations
IterNodes
done5001
22287
1429
0145

prune1.6s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.5b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
2.8b
(+ (+ a (+ b c)) d)
2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
associate-*r/
add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
+-commutative
associate-+r+
cbrt-prod associate-+l+ pow1/3
Counts
4 → 90
Calls
4 calls:
972.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
163.0ms
(+ (+ a (+ b c)) d)
121.0ms
(+ a (+ (+ b c) d))
124.0ms
(+ a (+ (+ b c) d))

series447.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
57.0ms
(+ (+ a (+ b c)) d)
67.0ms
(+ a (+ (+ b c) d))
76.0ms
(+ a (+ (+ b c) d))

simplify4.5s

Counts
102 → 102
Iterations
IterNodes
done5007
22990
1563
0177

prune1.3s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 1.2b

regimes2.9s

Accuracy

0% (1.6b remaining)

Error of 2.8b against oracle of 1.2b and baseline of 2.8b

bsearch0.0ms

simplify16.0ms

Iterations
IterNodes
done26
126
017

end0.0ms

sample1.1s

Algorithm
intervals
Results
328.0ms8000×body80valid
300.0ms8000×pre80true