Details

Time bar (total: 11.0s)

sample36.0ms

Algorithm
intervals
Results
12.0ms350×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
2209
3419
4599
5639
done639

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
13.0ms
(+ (* x y) z)
52.0ms
(* (+ (* x y) z) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x y) z)
48.0ms
(* (+ (* x y) z) y)

simplify440.0ms

Counts
37 → 37
Iterations

Useful iterations: done (439.0ms)

IterNodesCost
057361
1148355
2706319
done5000311

prune194.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))

rewrite73.0ms

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:
53.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))

series609.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
153.0ms
(cbrt (+ (* x y) z))
150.0ms
(cbrt (+ (* x y) z))
117.0ms
(cbrt (+ (* x y) z))

simplify825.0ms

Counts
99 → 99
Iterations

Useful iterations: done (821.0ms)

IterNodesCost
01151590
12911472
210761378
done50011302

prune597.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))

rewrite75.0ms

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:
55.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))

series912.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
446.0ms
(cbrt (+ (* x y) z))
162.0ms
(cbrt (+ (* x y) z))
134.0ms
(cbrt (+ (* x y) z))

simplify957.0ms

Counts
99 → 99
Iterations

Useful iterations: done (952.0ms)

IterNodesCost
01151590
12911472
210761378
done50011302

prune727.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
31.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt y) (cbrt y))
293.0ms
(cbrt y)
261.0ms
(cbrt y)
314.0ms
(cbrt y)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune530.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes795.0ms

Accuracy

0% (0.0b 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

sample1.4s

Algorithm
intervals
Results
629.0ms11328×body80valid