Details

Time bar (total: 18.0s)

sample33.0ms

Algorithm
intervals
Results
13.0ms283×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013247
124247
246247
372247
4132247
5225247
6442247
71059247
82777247
done5001247

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×add-sqr-sqrt pow1 associate-+l+ sum-log sub-neg add-cbrt-cube diff-log add-exp-log add-cube-cbrt
1×+-commutative flip3-+ flip3-- associate-*l/ frac-sub associate-+l- flip-+ flip-- distribute-lft-out
Counts
2 → 29
Calls
2 calls:
81.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
17.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series135.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
68.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
06910678
11859796
26149716
326979716
done50009716

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
95.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
13.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
10.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
13.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
267.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
337.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
357.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify1.3s

Counts
109 → 109
Iterations

Useful iterations: done (1.3s)

IterNodesCost
016157637
135452809
2113952649
done500151969

prune715.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))))
0.6b
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
0.6b
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
0.6b
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
1365×cbrt-div
540×frac-times
400×associate-*l/
280×flip3-- frac-sub flip--
120×associate-*r/
12×add-sqr-sqrt
11×cbrt-prod pow1
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 361
Calls
4 calls:
149.0ms
(* (cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))))
42.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
45.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
39.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
512.0ms
(* (cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))))
522.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
518.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
509.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

simplify2.8s

Counts
373 → 373
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0597572425
1971495978
21973495738
done5001494778

prune2.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes490.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013247
116247
done16247

end0.0ms

sample804.0ms

Algorithm
intervals
Results
539.0ms9163×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid