Details

Time bar (total: 11.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
089
1169
2407
31015
45315
534235
done50005

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize4.0ms

Local error

Found 1 expressions with local error:

3.3b
(* x (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
8.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify1.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
071289
1170272
2697242
32745242
done5000242

prune83.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (/ y z))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
7.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (/ y z))
79.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))

simplify1.5s

Counts
82 → 82
Iterations

Useful iterations: 3 (387.0ms)

IterNodesCost
0108721
1236689
2884614
33425578
done5000578

prune226.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*r/ add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))
81.0ms
(cbrt (* x (/ y z)))
81.0ms
(cbrt (* x (/ y z)))

simplify951.0ms

Counts
60 → 60
Iterations

Useful iterations: 4 (240.0ms)

IterNodesCost
052576
191564
2210512
3650480
42259432
done5001432

prune194.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.8b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
48.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series580.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
182.0ms
(cbrt y)
177.0ms
(cbrt y)
40.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify704.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01241035
1367985
21819699
done5001699

prune236.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

72.2% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 6.3b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 4 (4.0ms)

IterNodesCost
01842
12638
22932
33232
43531
53931
64031
done4031

end0.0ms

sample544.0ms

Algorithm
intervals
Results
279.0ms9564×body80valid