Details

Time bar (total: 24.3s)

sample57.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms256×pre80true

simplify344.0ms

Counts
1 → 1
Iterations
IterNodes
done286
5286
4254
3125
251
117
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.6b
(+ a (+ b (+ c d)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
2 → 32
Calls
2 calls:
44.0ms
(+ b (+ c d))
94.0ms
(+ a (+ b (+ c d)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ b (+ c d))
59.0ms
(+ a (+ b (+ c d)))

simplify4.2s

Counts
38 → 38
Iterations
IterNodes
done5006
34031
2760
1169
056

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.9b

localize24.0ms

Local error

Found 1 expressions with local error:

2.6b
(+ a (+ (+ b c) d))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
145.0ms
(+ a (+ (+ b c) d))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(+ a (+ (+ b c) d))

simplify3.3s

Counts
20 → 20
Iterations
IterNodes
done5038
32880
2454
1108
039

prune245.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ 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/
8×associate-*r/
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 87
Calls
4 calls:
992.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
140.0ms
(+ a (+ (+ b c) d))
141.0ms
(+ a (+ (+ b c) d))
146.0ms
(+ a (+ (+ b c) d))

series328.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
80.0ms
(+ a (+ (+ b c) d))
65.0ms
(+ a (+ (+ b c) d))
71.0ms
(+ a (+ (+ b c) d))

simplify3.1s

Counts
99 → 99
Iterations
IterNodes
done5004
22288
1425
0142

prune1.0s

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 1.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
2.6b
(+ (+ a (+ b c)) d)
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))

rewrite1.5s

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×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
3×+-commutative
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Counts
4 → 86
Calls
4 calls:
1.0s
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
176.0ms
(+ (+ a (+ b c)) d)
139.0ms
(+ a (+ (+ b c) d))
144.0ms
(+ a (+ (+ b c) d))

series368.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
64.0ms
(+ (+ a (+ b c)) d)
62.0ms
(+ a (+ (+ b c) d))
56.0ms
(+ a (+ (+ b c) d))

simplify3.9s

Counts
98 → 98
Iterations
IterNodes
done5011
23445
1574
0182

prune953.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes727.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample1.9s

Algorithm
intervals
Results
933.0ms8000×body80valid
542.0ms8000×pre80true