Details

Time bar (total: 10.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms320×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
089
1169
2407
3985
44115
524335
done50005

prune7.0ms

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 associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (/ y z))

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
069277
1166260
2445230
31367230
43643230
done5001230

prune94.0ms

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)))

rewrite33.0ms

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×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
28.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series649.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt z)
195.0ms
(cbrt z)
203.0ms
(cbrt z)
55.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify690.0ms

Counts
104 → 104
Iterations

Useful iterations: done (687.0ms)

IterNodesCost
01401213
14221157
21781867
done5000861

prune326.0ms

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 (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

rewrite265.0ms

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×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 97
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
260.0ms
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt z)
195.0ms
(cbrt z)
197.0ms
(cbrt z)
62.0ms
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

simplify869.0ms

Counts
109 → 109
Iterations

Useful iterations: done (865.0ms)

IterNodesCost
01672032
15271956
225111210
done50001204

prune372.0ms

Pruning

12 alts after pruning (9 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
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite43.0ms

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×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
39.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series637.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt y)
200.0ms
(cbrt y)
193.0ms
(cbrt y)
49.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify679.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (214.0ms)

IterNodesCost
0120995
1362939
21647663
done5001663

prune250.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

94.9% (0.3b remaining)

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

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02251
12751
done2751

end0.0ms

sample493.0ms

Algorithm
intervals
Results
261.0ms9668×body80valid