Details

Time bar (total: 16.0s)

sample46.0ms

Algorithm
intervals
Results
20.0ms314×body80valid

simplify1.5s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize12.0ms

Local error

Found 1 expressions with local error:

4.5b
(* y (/ x z))

rewrite25.0ms

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

series22.0ms

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

simplify1.8s

Counts
35 → 35
Iterations
IterNodes
done5073
32303
2549
1173
070

prune269.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.2b
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
9.9b
(cbrt (/ x z))
9.9b
(cbrt (/ x z))
9.9b
(cbrt (/ x z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×*-un-lft-identity add-cube-cbrt
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
51.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
4.0ms
(cbrt (/ x z))
8.0ms
(cbrt (/ x z))
4.0ms
(cbrt (/ x z))

series384.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
78.0ms
(cbrt (/ x z))
94.0ms
(cbrt (/ x z))
95.0ms
(cbrt (/ x z))

simplify2.6s

Counts
100 → 100
Iterations
IterNodes
done5000
43004
31129
2512
1239
0127

prune709.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

9.9b
(cbrt (/ x z))
9.9b
(cbrt (/ x z))
9.9b
(cbrt (/ x z))
9.9b
(cbrt (/ x z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log div-inv add-log-exp
Counts
4 → 88
Calls
4 calls:
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
4.0ms
(cbrt (/ x z))
4.0ms
(cbrt (/ x z))

series356.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(cbrt (/ x z))
95.0ms
(cbrt (/ x z))
87.0ms
(cbrt (/ x z))
104.0ms
(cbrt (/ x z))

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
done5000
52863
41023
3378
2186
1112
076

prune798.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.0b
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×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-*l* associate-*r/ *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
91.0ms
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

series944.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt x)
319.0ms
(cbrt x)
287.0ms
(cbrt x)
74.0ms
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

simplify1.6s

Counts
92 → 92
Iterations
IterNodes
done5001
21454
1373
0121

prune463.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes803.0ms

Accuracy

78.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.3b

bsearch2.0ms

simplify20.0ms

Iterations
IterNodes
done42
342
239
136
027

end0.0ms

sample997.0ms

Algorithm
intervals
Results
583.0ms9628×body80valid