Details

Time bar (total: 15.7s)

sample35.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
7.0ms256×body80valid

simplify234.0ms

Counts
1 → 1
Iterations
IterNodes
done481
6481
5445
4300
3146
253
117
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.8b
(+ 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×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
2 → 32
Calls
2 calls:
14.0ms
(+ b (+ c d))
54.0ms
(+ a (+ b (+ c d)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ b (+ c d))
45.0ms
(+ a (+ b (+ c d)))

simplify1.8s

Counts
38 → 38
Iterations
IterNodes
done5000
33586
2614
1166
055

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 17
Calls
1 calls:
57.0ms
(+ a (+ (+ b c) d))

series33.0ms

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

simplify2.6s

Counts
20 → 20
Iterations
IterNodes
done5000
34777
2552
1114
040

prune154.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

localize33.0ms

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))

rewrite813.0ms

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/
8×associate-*r/
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 87
Calls
4 calls:
553.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
87.0ms
(+ a (+ (+ b c) d))
89.0ms
(+ a (+ (+ b c) d))
79.0ms
(+ a (+ (+ b c) d))

series174.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
36.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))

simplify1.9s

Counts
99 → 99
Iterations
IterNodes
done5001
22472
1437
0143

prune723.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 1.4b

localize35.0ms

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))

rewrite801.0ms

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/
8×associate-*r/
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Counts
4 → 86
Calls
4 calls:
552.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
99.0ms
(+ (+ a (+ b c)) d)
73.0ms
(+ a (+ (+ b c) d))
71.0ms
(+ a (+ (+ b c) d))

series261.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
48.0ms
(+ (+ a (+ b c)) d)
39.0ms
(+ a (+ (+ b c) d))
39.0ms
(+ a (+ (+ b c) d))

simplify2.3s

Counts
98 → 98
Iterations
IterNodes
done5001
23603
1584
0175

prune580.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.9b

regimes1.4s

Accuracy

0% (1.7b remaining)

Error of 2.6b against oracle of 1.0b and baseline of 2.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done30
130
019

end0.0ms

sample1.3s

Algorithm
intervals
Results
436.0ms8000×body80valid
309.0ms8000×pre80true