Details

Time bar (total: 11.3s)

sample53.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
15.0ms256×body80valid

simplify182.0ms

Counts
1 → 1
Iterations
IterNodes
6285
5285
4252
3123
251
117
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ b (+ c d))
2.7b
(+ a (+ b (+ c d)))

rewrite68.0ms

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:
24.0ms
(+ b (+ c d))
42.0ms
(+ a (+ b (+ c d)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ b (+ c d))
54.0ms
(+ a (+ b (+ c d)))

simplify763.0ms

Counts
38 → 38
Iterations
IterNodes
33027
2599
1164
055

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.0b

localize22.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite60.0ms

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:
60.0ms
(+ a (+ (+ b c) d))

series43.0ms

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

simplify871.0ms

Counts
20 → 20
Iterations
IterNodes
32908
2524
1109
040

prune214.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))

rewrite569.0ms

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:
410.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
47.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))
50.0ms
(+ a (+ (+ b c) d))

series229.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
48.0ms
(+ a (+ (+ b c) d))
33.0ms
(+ a (+ (+ b c) d))
55.0ms
(+ a (+ (+ b c) d))

simplify634.0ms

Counts
99 → 99
Iterations
IterNodes
22262
1427
0143

prune1.3s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.4b

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))))
2.7b
(+ (+ a (+ b c)) d)
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))

rewrite604.0ms

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:
405.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
59.0ms
(+ (+ a (+ b c)) d)
70.0ms
(+ a (+ (+ b c) d))
68.0ms
(+ a (+ (+ b c) d))

series297.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
36.0ms
(+ (+ a (+ b c)) d)
40.0ms
(+ a (+ (+ b c) d))
51.0ms
(+ a (+ (+ b c) d))

simplify990.0ms

Counts
98 → 98
Iterations
IterNodes
23249
1571
0175

prune1.2s

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 1.0b

regimes1.2s

Accuracy

0% (1.6b remaining)

Error of 2.7b against oracle of 1.0b and baseline of 2.7b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
230
130
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
607.0ms8000×pre80true
547.0ms8000×body80valid