Details

Time bar (total: 27.8s)

sample62.0ms

Algorithm
intervals
Results
28.0ms335×body80valid
1.0ms6×body640valid
1.0ms4×body320valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify74.0ms

Counts
1 → 1
Iterations
IterNodes
done63
463
349
233
118
09

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d3 (+ d2 3.0)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
131.0ms
(* d1 (+ d3 (+ d2 3.0)))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* d1 (+ d3 (+ d2 3.0)))

simplify5.5s

Counts
27 → 27
Iterations
IterNodes
done5003
33963
2662
1164
051

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
94.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
16.0ms
(+ (* d1 3.0) (* d1 d2))

series154.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
80.0ms
(+ (* d1 3.0) (* d1 d2))

simplify4.9s

Counts
32 → 32
Iterations
IterNodes
done5002
33444
2908
1187
056

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
0.6b
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))

rewrite419.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
14×distribute-lft-out
11×pow1
9×flip3-+ pow1/3 flip-+
7×swap-sqr associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
284.0ms
(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
37.0ms
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
49.0ms
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
36.0ms
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))

series1.0s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
243.0ms
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
262.0ms
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
222.0ms
(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))

simplify4.9s

Counts
105 → 105
Iterations
IterNodes
done5000
33599
21178
1427
0168

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ d3 (+ d2 3.0)))
0.0b
(sqrt (+ d3 (+ d2 3.0)))
0.2b
(* d1 (sqrt (+ d3 (+ d2 3.0))))
0.3b
(* (* d1 (sqrt (+ d3 (+ d2 3.0)))) (sqrt (+ d3 (+ d2 3.0))))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
53.0ms
(sqrt (+ d3 (+ d2 3.0)))
53.0ms
(sqrt (+ d3 (+ d2 3.0)))
121.0ms
(* d1 (sqrt (+ d3 (+ d2 3.0))))
242.0ms
(* (* d1 (sqrt (+ d3 (+ d2 3.0)))) (sqrt (+ d3 (+ d2 3.0))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (+ d3 (+ d2 3.0)))
74.0ms
(sqrt (+ d3 (+ d2 3.0)))
130.0ms
(* d1 (sqrt (+ d3 (+ d2 3.0))))
69.0ms
(* (* d1 (sqrt (+ d3 (+ d2 3.0)))) (sqrt (+ d3 (+ d2 3.0))))

simplify5.1s

Counts
103 → 103
Iterations
IterNodes
done5004
34372
21199
1361
0134

prune725.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes524.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.5s

Algorithm
intervals
Results
784.0ms9594×body80valid
99.0ms183×body640valid
85.0ms98×body160valid
33.0ms171×body320valid
31.0ms91×body1280valid