Details

Time bar (total: 18.5s)

sample43.0ms

Algorithm
intervals
Results
18.0ms302×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5027
51745
4352
396
238
116
08

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize13.0ms

Local error

Found 1 expressions with local error:

4.8b
(* y (/ x z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
22.0ms
(* y (/ x z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* y (/ x z))

simplify1.6s

Counts
35 → 35
Iterations
IterNodes
done5073
32303
2549
1173
070

prune267.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* y (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt pow1 prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
4×cbrt-undiv div-exp associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
57.0ms
(* y (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt x)
307.0ms
(cbrt x)
285.0ms
(cbrt x)
120.0ms
(* y (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))))

simplify2.3s

Counts
73 → 73
Iterations
IterNodes
done5001
32398
2717
1257
0105

prune505.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* y (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt z)) (/ (cbrt x) (cbrt z))))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
24×add-cbrt-cube
23×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
9×cbrt-prod pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
453.0ms
(* y (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt z)) (/ (cbrt x) (cbrt z))))

series977.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt x)
300.0ms
(cbrt x)
257.0ms
(cbrt x)
115.0ms
(* y (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt z)) (/ (cbrt x) (cbrt z))))

simplify3.4s

Counts
80 → 80
Iterations
IterNodes
done5001
34490
21441
1397
0144

prune625.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
5.0b
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
33×cbrt-prod
29×*-un-lft-identity add-cube-cbrt
28×times-frac associate-*r*
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*l/ associate-*r/
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
18.0ms
(* (cbrt z) (cbrt z))
53.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series953.0ms

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt z)
258.0ms
(cbrt z)
259.0ms
(* (cbrt z) (cbrt z))
93.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify1.8s

Counts
133 → 133
Iterations
IterNodes
done5012
22369
1512
0173

prune708.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes642.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
506.0ms9601×body80valid