Details

Time bar (total: 13.7s)

sample63.0ms

Algorithm
intervals
Results
16.0ms273×body80valid
15.0ms252×body80nan

simplify170.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
12110
24710
37110
410310
512210
613610
714810
done14810

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))
0.4b
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
16×associate-*l*
14×add-cube-cbrt *-un-lft-identity
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
7×pow1
5×add-log-exp
4×sqrt-prod unswap-sqr
3×flip3-+ prod-exp cbrt-unprod flip-+
2×frac-times associate-*r/ pow-prod-down *-commutative
1×cbrt-undiv +-commutative distribute-rgt-in distribute-lft-in div-exp associate-*l/ sum-log div-inv
Counts
3 → 71
Calls
3 calls:
10.0ms
(+ x (* y (sqrt z)))
18.0ms
(* y (sqrt z))
34.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))

series181.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (* y (sqrt z)))
79.0ms
(* y (sqrt z))
53.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))

simplify1.2s

Counts
80 → 80
Iterations

Useful iterations: 2 (318.0ms)

IterNodesCost
0157953
1504894
22201802
done5000802

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
0.4b
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×sqrt-prod
21×add-cube-cbrt *-un-lft-identity associate-*r*
17×associate-*l*
16×add-exp-log add-cbrt-cube
15×pow1
10×times-frac
6×prod-exp cbrt-unprod
5×pow-prod-down unswap-sqr
4×sqrt-pow1 add-log-exp
3×*-commutative
2×frac-times rem-sqrt-square flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-*l/ div-inv
Counts
4 → 107
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
24.0ms
(* y (sqrt (sqrt z)))
50.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
34.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))

series526.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(sqrt (sqrt z))
114.0ms
(* y (sqrt (sqrt z)))
58.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
80.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))

simplify2.3s

Counts
119 → 119
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02221620
16941166
234671064
done50001041

prune405.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (sqrt (sqrt z)))) (cbrt (* y (sqrt (sqrt z)))))
1.5b
(cbrt (* y (sqrt (sqrt z))))
1.5b
(cbrt (* y (sqrt (sqrt z))))
1.5b
(cbrt (* y (sqrt (sqrt z))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
32.0ms
(* (cbrt (* y (sqrt (sqrt z)))) (cbrt (* y (sqrt (sqrt z)))))
14.0ms
(cbrt (* y (sqrt (sqrt z))))
11.0ms
(cbrt (* y (sqrt (sqrt z))))
7.0ms
(cbrt (* y (sqrt (sqrt z))))

series893.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (* y (sqrt (sqrt z)))) (cbrt (* y (sqrt (sqrt z)))))
247.0ms
(cbrt (* y (sqrt (sqrt z))))
255.0ms
(cbrt (* y (sqrt (sqrt z))))
200.0ms
(cbrt (* y (sqrt (sqrt z))))

simplify829.0ms

Counts
70 → 70
Iterations

Useful iterations: done (826.0ms)

IterNodesCost
088945
1234840
21044722
done5000651

prune396.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))
0.6b
(* (sqrt (/ 1.0 2.0)) (* (sqrt (/ 1.0 2.0)) (+ x (* y (sqrt z)))))
0.7b
(* (sqrt (/ 1.0 2.0)) (+ x (* y (sqrt z))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt associate-*l*
32×sqrt-prod
24×add-cube-cbrt *-un-lft-identity
19×times-frac
15×sqrt-div
13×pow1 add-exp-log add-cbrt-cube
11×frac-times associate-*r/
10×associate-*r*
7×flip3-+ flip-+
6×add-log-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod unswap-sqr
4×associate-*l/
3×*-commutative
2×div-inv
1×+-commutative sum-log
Counts
4 → 119
Calls
4 calls:
6.0ms
(+ x (* y (sqrt z)))
18.0ms
(* y (sqrt z))
89.0ms
(* (sqrt (/ 1.0 2.0)) (* (sqrt (/ 1.0 2.0)) (+ x (* y (sqrt z)))))
58.0ms
(* (sqrt (/ 1.0 2.0)) (+ x (* y (sqrt z))))

series487.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ x (* y (sqrt z)))
55.0ms
(* y (sqrt z))
217.0ms
(* (sqrt (/ 1.0 2.0)) (* (sqrt (/ 1.0 2.0)) (+ x (* y (sqrt z)))))
160.0ms
(* (sqrt (/ 1.0 2.0)) (+ x (* y (sqrt z))))

simplify2.7s

Counts
131 → 131
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02222081
16821951
232391624
done50001604

prune532.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11514
done1514

end0.0ms

sample2.0s

Algorithm
intervals
Results
613.0ms8553×body80nan
555.0ms8527×body80valid