Details

Time bar (total: 11.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms383×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0815
11515
22513
3389
4469
5479
done479

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
3.0ms
(+ (* x y) (* 3 (* z z)))
7.0ms
(* 3 (* z z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* x y) (* 3 (* z z)))
26.0ms
(* 3 (* z z))

simplify3.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (278.0ms)

IterNodesCost
057370
1163340
2522306
31449294
43696294
done5000294

prune74.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
3.0ms
(+ (* x y) (* (* 3 z) z))
7.0ms
(* (* 3 z) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (* x y) (* (* 3 z) z))
31.0ms
(* (* 3 z) z)

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 3 (648.0ms)

IterNodesCost
059365
1178335
2687301
32463287
done5001287

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
6.0ms
(+ (* 3 (* z z)) (* x y))
7.0ms
(* 3 (* z z))

series69.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* 3 (* z z)) (* x y))
30.0ms
(* 3 (* z z))

simplify2.5s

Counts
36 → 36
Iterations

Useful iterations: 3 (272.0ms)

IterNodesCost
057370
1163340
2514302
31359294
43390294
done5000294

prune72.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* z z))
0.3b
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
19.8b
(sqrt (* 3 (* z z)))
19.8b
(sqrt (* 3 (* z z)))

rewrite62.0ms

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:
7.0ms
(* 3 (* z z))
37.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
5.0ms
(sqrt (* 3 (* z z)))
8.0ms
(sqrt (* 3 (* z z)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3 (* z z))
68.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
37.0ms
(sqrt (* 3 (* z z)))
41.0ms
(sqrt (* 3 (* z z)))

simplify2.4s

Counts
121 → 121
Iterations

Useful iterations: 3 (687.0ms)

IterNodesCost
0781108
1160717
2498609
32330573
done5001573

prune197.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes112.0ms

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
089
1129
done129

end0.0ms

sample534.0ms

Algorithm
intervals
Results
292.0ms12243×body80valid