Details

Time bar (total: 10.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms332×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
067
1115
2135
done135

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
2.0ms
(+ (* d1 d2) (* d1 d3))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ (* d1 d2) (* d1 d3))

simplify2.0s

Counts
15 → 15
Iterations

Useful iterations: 4 (671.0ms)

IterNodesCost
029169
198130
2339128
31016116
42344114
done5000114

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ d2 d3))) (cbrt (* d1 (+ d2 d3))))
2.5b
(cbrt (* d1 (+ d2 d3)))
2.5b
(cbrt (* d1 (+ d2 d3)))
2.5b
(cbrt (* d1 (+ d2 d3)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-+ pow1/3 flip-+
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (cbrt (* d1 (+ d2 d3))) (cbrt (* d1 (+ d2 d3))))
3.0ms
(cbrt (* d1 (+ d2 d3)))
3.0ms
(cbrt (* d1 (+ d2 d3)))
3.0ms
(cbrt (* d1 (+ d2 d3)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (* d1 (+ d2 d3))) (cbrt (* d1 (+ d2 d3))))
106.0ms
(cbrt (* d1 (+ d2 d3)))
108.0ms
(cbrt (* d1 (+ d2 d3)))
106.0ms
(cbrt (* d1 (+ d2 d3)))

simplify2.3s

Counts
84 → 84
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01081142
12541039
2605943
31472867
43488827
done5001827

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ d2 d3))
0.6b
(cbrt d1)
2.5b
(cbrt (* d1 (+ d2 d3)))
2.5b
(cbrt (* d1 (+ d2 d3)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt cbrt-div
pow1 add-exp-log pow1/3 associate-*r/ add-cbrt-cube add-log-exp
flip3-+ flip-+
distribute-lft-out
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (+ d2 d3))
0.0ms
(cbrt d1)
3.0ms
(cbrt (* d1 (+ d2 d3)))
3.0ms
(cbrt (* d1 (+ d2 d3)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ d2 d3))
174.0ms
(cbrt d1)
104.0ms
(cbrt (* d1 (+ d2 d3)))
106.0ms
(cbrt (* d1 (+ d2 d3)))

simplify2.0s

Counts
59 → 59
Iterations

Useful iterations: 4 (955.0ms)

IterNodesCost
0105514
1241493
2529453
31296431
44012414
done5001414

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (+ d2 d3))
0.2b
(* (sqrt (* d1 (+ d2 d3))) (sqrt (* d1 (+ d2 d3))))
2.0b
(sqrt (* d1 (+ d2 d3)))
2.0b
(sqrt (* d1 (+ d2 d3)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
flip3-+ flip-+
add-exp-log associate-*r* add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 106
Calls
4 calls:
9.0ms
(* d1 (+ d2 d3))
25.0ms
(* (sqrt (* d1 (+ d2 d3))) (sqrt (* d1 (+ d2 d3))))
5.0ms
(sqrt (* d1 (+ d2 d3)))
3.0ms
(sqrt (* d1 (+ d2 d3)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* d1 (+ d2 d3))
25.0ms
(* (sqrt (* d1 (+ d2 d3))) (sqrt (* d1 (+ d2 d3))))
47.0ms
(sqrt (* d1 (+ d2 d3)))
50.0ms
(sqrt (* d1 (+ d2 d3)))

simplify2.0s

Counts
118 → 118
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01211368
12661010
2761930
32676876
done5000872

prune194.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample398.0ms

Algorithm
intervals
Results
201.0ms10098×body80valid