Details

Time bar (total: 9.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms293×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
089
1169
2407
3985
44115
524335
done50005

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize4.0ms

Local error

Found 1 expressions with local error:

6.6b
(* x (/ y z))

rewrite8.0ms

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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* x (/ y z))

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
069277
1166260
2445230
31367230
43643230
done5001230

prune87.0ms

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)
4.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite29.0ms

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)
24.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series570.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt z)
171.0ms
(cbrt z)
172.0ms
(cbrt z)
52.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify728.0ms

Counts
104 → 104
Iterations

Useful iterations: done (725.0ms)

IterNodesCost
01401213
14221157
21781867
done5000861

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.5b
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

rewrite259.0ms

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)
253.0ms
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

series587.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
176.0ms
(cbrt z)
176.0ms
(cbrt z)
52.0ms
(* (/ x (* (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

simplify907.0ms

Counts
109 → 109
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
01672032
15271956
225111210
done50001204

prune347.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (* x y) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ (* x y) z)

series19.0ms

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

simplify1.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
048186
1111179
2383149
31786149
done5000149

prune49.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

68.3% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 5.4b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02348
12740
done2740

end0.0ms

sample524.0ms

Algorithm
intervals
Results
278.0ms9576×body80valid