Details

Time bar (total: 12.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms320×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
089
1169
2407
31015
45315
534235
done50005

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize4.0ms

Local error

Found 1 expressions with local error:

6.8b
(* 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:
7.0ms
(* x (/ y z))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* x (/ y z))

simplify1.7s

Counts
37 → 37
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
071289
1170272
2697242
32745242
done5000242

prune104.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
26.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt z)
198.0ms
(cbrt z)
194.0ms
(cbrt z)
59.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify764.0ms

Counts
112 → 112
Iterations

Useful iterations: done (761.0ms)

IterNodesCost
01441257
14311207
22018903
done5001897

prune343.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.7b
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
30×add-sqr-sqrt add-cbrt-cube
23×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp cbrt-unprod
19×cbrt-prod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 105
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
208.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

series674.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt z)
202.0ms
(cbrt z)
207.0ms
(cbrt z)
56.0ms
(* (/ x (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

simplify984.0ms

Counts
117 → 117
Iterations

Useful iterations: done (981.0ms)

IterNodesCost
01712121
15372051
227691269
done50001267

prune420.0ms

Pruning

13 alts after pruning (10 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)
3.9b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite52.0ms

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)
1.0ms
(cbrt y)
48.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series666.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt y)
209.0ms
(cbrt y)
201.0ms
(cbrt y)
50.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify765.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
01241035
1367985
21819699
done5001699

prune289.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes360.0ms

Accuracy

94.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02251
12751
done2751

end0.0ms

sample518.0ms

Algorithm
intervals
Results
272.0ms9668×body80valid