Details

Time bar (total: 7.6s)

sample49.0ms

Algorithm
intervals
Results
22.0ms381×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
0815
11515
22513
3389
4489
5529
done529

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
14.0ms
(+ (* x y) (* 3 (* z z)))
18.0ms
(* 3 (* z z))

series78.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* x y) (* 3 (* z z)))
26.0ms
(* 3 (* z z))

simplify672.0ms

Counts
36 → 36
Iterations

Useful iterations: done (671.0ms)

IterNodesCost
057370
1187348
2934306
done5001302

prune71.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
8.0ms
(+ (* x y) (* (* 3 z) z))
17.0ms
(* (* 3 z) z)

series93.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x y) (* (* 3 z) z))
35.0ms
(* (* 3 z) z)

simplify807.0ms

Counts
35 → 35
Iterations

Useful iterations: done (806.0ms)

IterNodesCost
059365
1181337
21094303
done5000299

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* z z))
0.3b
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
19.1b
(sqrt (* 3 (* z z)))
19.1b
(sqrt (* 3 (* z z)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
17.0ms
(* 3 (* z z))
126.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
11.0ms
(sqrt (* 3 (* z z)))
12.0ms
(sqrt (* 3 (* z z)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 3 (* z z))
75.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
59.0ms
(sqrt (* 3 (* z z)))
54.0ms
(sqrt (* 3 (* z z)))

simplify1.1s

Counts
121 → 121
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0781108
1213727
21268601
done5001589

prune265.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* 3 (* z z)))) (cbrt (+ (* x y) (* 3 (* z z)))))
2.5b
(cbrt (+ (* x y) (* 3 (* z z))))
2.5b
(cbrt (+ (* x y) (* 3 (* z z))))
2.5b
(cbrt (+ (* x y) (* 3 (* z z))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
59.0ms
(* (cbrt (+ (* x y) (* 3 (* z z)))) (cbrt (+ (* x y) (* 3 (* z z)))))
5.0ms
(cbrt (+ (* x y) (* 3 (* z z))))
5.0ms
(cbrt (+ (* x y) (* 3 (* z z))))
5.0ms
(cbrt (+ (* x y) (* 3 (* z z))))

series823.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (+ (* x y) (* 3 (* z z)))) (cbrt (+ (* x y) (* 3 (* z z)))))
175.0ms
(cbrt (+ (* x y) (* 3 (* z z))))
211.0ms
(cbrt (+ (* x y) (* 3 (* z z))))
203.0ms
(cbrt (+ (* x y) (* 3 (* z z))))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01322428
13352239
212462089
done50001888

prune414.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes221.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample1.3s

Algorithm
intervals
Results
750.0ms12223×body80valid