Details

Time bar (total: 14.9s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms256×pre80true

simplify301.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
3.0b
(+ a (+ b (+ c d)))

rewrite66.0ms

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:
13.0ms
(+ b (+ c d))
52.0ms
(+ a (+ b (+ c d)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ b (+ c d))
47.0ms
(+ a (+ b (+ c d)))

simplify1.8s

Counts
38 → 38
Iterations
IterNodes
done5000
33586
2614
1166
055

prune245.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite63.0ms

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:
62.0ms
(+ a (+ (+ b c) d))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(+ a (+ (+ b c) d))

simplify2.6s

Counts
20 → 20
Iterations
IterNodes
done5000
34777
2552
1114
040

prune155.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))

rewrite826.0ms

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:
604.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
76.0ms
(+ a (+ (+ b c) d))
78.0ms
(+ a (+ (+ b c) d))
60.0ms
(+ a (+ (+ b c) d))

series222.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
36.0ms
(+ a (+ (+ b c) d))
55.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))

simplify2.0s

Counts
99 → 99
Iterations
IterNodes
done5001
22472
1437
0143

prune638.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 1.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
3.0b
(+ (+ a (+ b c)) d)
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))

rewrite865.0ms

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:
551.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
129.0ms
(+ (+ a (+ b c)) d)
93.0ms
(+ a (+ (+ b c) d))
85.0ms
(+ a (+ (+ b c) d))

series250.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
46.0ms
(+ (+ a (+ b c)) d)
39.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))

simplify2.3s

Counts
98 → 98
Iterations
IterNodes
done5000
23264
1577
0174

prune636.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes520.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
505.0ms8000×body80valid
277.0ms8000×pre80true