Details

Time bar (total: 11.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms388×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0815
11515
22513
3379
4459
5489
done489

prune5.0ms

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))

rewrite27.0ms

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:
9.0ms
(+ (* x y) (* 3 (* z z)))
18.0ms
(* 3 (* z z))

series71.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* x y) (* 3 (* z z)))
24.0ms
(* 3 (* z z))

simplify3.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (344.0ms)

IterNodesCost
057370
1159340
2505306
31492294
44067294
done5002294

prune67.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.1b
(* (* 3 z) z)

rewrite26.0ms

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)

series75.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x y) (* (* 3 z) z))
27.0ms
(* (* 3 z) z)

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 3 (574.0ms)

IterNodesCost
059365
1174335
2665301
31965287
done5001287

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
11.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
62.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
18.0ms
(* (cbrt 3) (* z z))

series233.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
87.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
47.0ms
(* (cbrt 3) (* z z))

simplify2.6s

Counts
71 → 71
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0891026
1241960
2902670
33619513
done5000513

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (pow z 2)) (* x y))
0.2b
(* 3 (pow z 2))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
9.0ms
(+ (* 3 (pow z 2)) (* x y))
12.0ms
(* 3 (pow z 2))

series65.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3 (pow z 2)) (* x y))
29.0ms
(* 3 (pow z 2))

simplify1.2s

Counts
44 → 44
Iterations

Useful iterations: done (1.2s)

IterNodesCost
073440
1188390
2509349
31638343
done5001340

prune81.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes90.0ms

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

sample590.0ms

Algorithm
intervals
Results
273.0ms12115×body80valid