Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
9.0ms272×body80valid
6.0ms233×body80nan

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485
done1485

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:
7.0ms
(+ x (* y (sqrt z)))
22.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
9.0ms
(* y (sqrt z))

series125.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (* y (sqrt z)))
46.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
42.0ms
(* y (sqrt z))

simplify55.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0484496
12019440
25002435
done5002435

prune184.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite77.0ms

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
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
12.0ms
(* y (sqrt (sqrt z)))
36.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (sqrt z))
51.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
79.0ms
(* y (sqrt (sqrt z)))
41.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify80.0ms

Counts
119 → 119
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0664872
12953718
25003705
done5003705

prune285.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r*
5×associate-*l/ prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×pow-prod-down sqrt-prod
1×cbrt-undiv +-commutative flip3-+ div-exp associate-*l* frac-add sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
32.0ms
(* (* (/ 1.0 2.0) y) (sqrt z))

series112.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
60.0ms
(* (* (/ 1.0 2.0) y) (sqrt z))

simplify51.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0341324
11516275
25001254
done5001254

prune102.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (fabs (cbrt z)))
0.3b
(* (* (/ 1.0 2.0) (* y (fabs (cbrt z)))) (sqrt (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log add-cbrt-cube
15×pow1
13×add-sqr-sqrt
12×associate-*r* prod-exp cbrt-unprod
11×add-cube-cbrt *-un-lft-identity
9×cbrt-prod
7×pow-prod-down
6×sqrt-prod
4×associate-*l* add-log-exp
2×cbrt-undiv pow1/3 div-exp associate-*l/ *-commutative
1×unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* y (fabs (cbrt z)))
63.0ms
(* (* (/ 1.0 2.0) (* y (fabs (cbrt z)))) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series489.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* y (fabs (cbrt z)))
111.0ms
(* (* (/ 1.0 2.0) (* y (fabs (cbrt z)))) (sqrt (cbrt z)))
179.0ms
(cbrt z)
173.0ms
(cbrt z)

simplify54.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0342564
11872466
25002460
done5002460

prune219.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157
done157

end0.0ms

sample897.0ms

Algorithm
intervals
Results
227.0ms8576×body80valid
216.0ms8413×body80nan