Details

Time bar (total: 17.0s)

sample37.0ms

Algorithm
intervals
Results
15.0ms369×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
2209
3399
4439
done439

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)

rewrite99.0ms

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:
15.0ms
(+ (* x y) z)
30.0ms
(+ (* (+ (* x y) z) y) t)
52.0ms
(* (+ (* x y) z) y)

series218.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* x y) z)
110.0ms
(+ (* (+ (* x y) z) y) t)
74.0ms
(* (+ (* x y) z) y)

simplify1.9s

Counts
51 → 51
Iterations

Useful iterations: 3 (852.0ms)

IterNodesCost
080569
1208546
2645494
32191486
done5001486

prune207.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

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:
76.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
11.0ms
(cbrt (+ (* x y) z))
12.0ms
(cbrt (+ (* x y) z))
19.0ms
(cbrt (+ (* x y) z))

series691.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
151.0ms
(cbrt (+ (* x y) z))
152.0ms
(cbrt (+ (* x y) z))
195.0ms
(cbrt (+ (* x y) z))

simplify3.9s

Counts
99 → 99
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01151590
12671472
26771378
316331255
441331231
done50001158

prune471.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt (cbrt (+ (* x y) z))) 2)
0.6b
(cbrt (cbrt (+ (* x y) z)))
0.6b
(cbrt (cbrt (+ (* x y) z)))
0.9b
(pow (cbrt (cbrt (+ (* x y) z))) 4)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
18×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-div
6×pow1 add-exp-log pow-unpow
4×pow-pow pow1/3 add-cbrt-cube add-log-exp
2×pow-to-exp flip3-+ pow-exp flip-+ sqr-pow
1×unpow2
Counts
4 → 81
Calls
4 calls:
20.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 2)
13.0ms
(cbrt (cbrt (+ (* x y) z)))
13.0ms
(cbrt (cbrt (+ (* x y) z)))
37.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)

series732.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 2)
127.0ms
(cbrt (cbrt (+ (* x y) z)))
140.0ms
(cbrt (cbrt (+ (* x y) z)))
232.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01521354
13621198
27611148
320861113
done50001089

prune410.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ (* x y) z)))
0.9b
(pow (cbrt (cbrt (+ (* x y) z))) 4)
0.9b
(pow (cbrt (cbrt (+ (* x y) z))) 4)
0.9b
(pow (cbrt (cbrt (+ (* x y) z))) 4)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
27×unpow-prod-down
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×cbrt-div pow1/3 add-cbrt-cube add-log-exp
3×pow-to-exp pow-exp sqr-pow
1×flip3-+ flip-+
Counts
4 → 88
Calls
4 calls:
10.0ms
(cbrt (cbrt (+ (* x y) z)))
22.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)
22.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)
29.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)

series869.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (cbrt (+ (* x y) z)))
233.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)
249.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)
261.0ms
(pow (cbrt (cbrt (+ (* x y) z))) 4)

simplify3.4s

Counts
100 → 100
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01131493
12611390
25841290
314501267
445261218
done50001218

prune549.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes334.0ms

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

sample1.2s

Algorithm
intervals
Results
531.0ms11328×body80valid