Details

Time bar (total: 10.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms349×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1129
2209
3319
4339
done339

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*l/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
3.0ms
(+ (* x y) z)
5.0ms
(+ (* (+ (* x y) z) y) t)
10.0ms
(* (+ (* x y) z) y)

series112.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (* x y) z)
59.0ms
(+ (* (+ (* x y) z) y) t)
33.0ms
(* (+ (* x y) z) y)

simplify1.9s

Counts
51 → 51
Iterations

Useful iterations: 3 (307.0ms)

IterNodesCost
080569
1211546
2675494
33237486
done5000486

prune117.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite30.0ms

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:
20.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))

series449.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
109.0ms
(cbrt (+ (* x y) z))
107.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))

simplify2.1s

Counts
99 → 99
Iterations

Useful iterations: 3 (469.0ms)

IterNodesCost
01151590
12701476
29151378
335761255
done50001255

prune298.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite9.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series739.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
183.0ms
(cbrt y)
176.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: 3 (309.0ms)

IterNodesCost
061524
1118465
2446397
31994379
done5000379

prune232.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))

series438.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
110.0ms
(cbrt (+ (* x y) z))
111.0ms
(cbrt (+ (* x y) z))

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: 4 (484.0ms)

IterNodesCost
058800
1146772
2360720
3995696
43696680
done5000680

prune242.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes261.0ms

Accuracy

0% (0.0b 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

sample522.0ms

Algorithm
intervals
Results
258.0ms11196×body80valid