Details

Time bar (total: 9.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
2179
3199
4219
5229
done229

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b
(* (/ 841.0 108.0) x)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
18.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
37.0ms
(* (/ 841.0 108.0) x)

series60.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms
(* (/ 841.0 108.0) x)

simplify1.2s

Counts
50 → 50
Iterations

Useful iterations: done (1.2s)

IterNodesCost
097463
1246443
21066403
done5001401

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b
(* (cbrt (/ 841.0 108.0)) x)
0.3b
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
79×cbrt-prod
76×add-sqr-sqrt
52×times-frac
45×add-cube-cbrt *-un-lft-identity
33×associate-*l*
29×cbrt-div
25×pow1
20×add-exp-log associate-*r* associate-*l/
16×swap-sqr
12×unswap-sqr
11×frac-times pow-prod-down add-cbrt-cube
10×prod-exp cbrt-unprod
7×associate-*r/ frac-add
6×pow1/3 add-log-exp
5×div-inv
3×*-commutative
2×pow-sqr pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 159
Calls
4 calls:
83.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
26.0ms
(* (cbrt (/ 841.0 108.0)) x)
97.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
43.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series353.0ms

Counts
4 → 10
Calls
4 calls:
153.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
57.0ms
(* (cbrt (/ 841.0 108.0)) x)
143.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify2.5s

Counts
169 → 169
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02352594
15202445
225062017
done50011857

prune655.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (* (cbrt (/ 841.0 108.0)) (cbrt (sqrt (/ 841.0 108.0)))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b
(* (cbrt (/ 841.0 108.0)) x)
0.3b
(* (* (* (cbrt (/ 841.0 108.0)) (cbrt (sqrt (/ 841.0 108.0)))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

rewrite503.0ms

Algorithm
rewrite-expression-head
Rules
65×cbrt-div
51×associate-*l/
34×frac-times
32×sqrt-div
26×pow1 add-exp-log
19×add-sqr-sqrt
17×associate-*l*
16×pow-prod-down prod-exp cbrt-unprod
15×cbrt-prod frac-add
14×associate-*r/ add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×times-frac
5×add-log-exp
4×associate-*r*
3×unswap-sqr
2×*-commutative
1×+-commutative flip3-+ sum-log flip-+ div-inv
Counts
3 → 103
Calls
3 calls:
233.0ms
(+ (* (* (* (cbrt (/ 841.0 108.0)) (cbrt (sqrt (/ 841.0 108.0)))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
27.0ms
(* (cbrt (/ 841.0 108.0)) x)
235.0ms
(* (* (* (cbrt (/ 841.0 108.0)) (cbrt (sqrt (/ 841.0 108.0)))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

series1.4s

Counts
3 → 9
Calls
3 calls:
708.0ms
(+ (* (* (* (cbrt (/ 841.0 108.0)) (cbrt (sqrt (/ 841.0 108.0)))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
68.0ms
(* (cbrt (/ 841.0 108.0)) x)
576.0ms
(* (* (* (cbrt (/ 841.0 108.0)) (cbrt (sqrt (/ 841.0 108.0)))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02262665
16012590
223832330
done50012125

prune494.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample430.0ms

Algorithm
intervals
Results
264.0ms8013×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid