Details

Time bar (total: 15.4s)

sample40.0ms

Algorithm
intervals
Results
20.0ms314×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5001
41017
3146
242
116
08

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b
(/ (* x y) z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
14.0ms
(/ (* x y) z)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (* x y) z)

simplify732.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune178.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
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 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)
79.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt z)
263.0ms
(cbrt z)
306.0ms
(cbrt z)
87.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.8s

Counts
112 → 112
Iterations
IterNodes
done5000
23103
1455
0144

prune661.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(* (/ x (cbrt z)) (/ y (cbrt z)))
2.1b
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
75×add-sqr-sqrt
66×times-frac
45×*-un-lft-identity add-cube-cbrt
44×associate-*l*
40×add-cbrt-cube prod-exp
39×cbrt-prod
30×div-exp
23×associate-*r*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*r/
5×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 173
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
33.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))
64.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
318.0ms
(cbrt z)
308.0ms
(cbrt z)
304.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))
87.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))

simplify919.0ms

Counts
185 → 185
Iterations
IterNodes
done5000
1801
0245

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ 1 (cbrt z)) (* (* (cbrt (/ x (cbrt z))) (cbrt (/ x (cbrt z)))) (* (cbrt (/ x (cbrt z))) (/ y (cbrt z)))))
3.3b
(cbrt (/ x (cbrt z)))
3.3b
(cbrt (/ x (cbrt z)))
3.3b
(cbrt (/ x (cbrt z)))

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
127×add-exp-log
102×cbrt-prod
80×prod-exp
72×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
51×cbrt-div
49×frac-times
40×cbrt-unprod
38×add-cbrt-cube
37×associate-*r/
23×associate-*l/
22×pow1 div-exp associate-*l*
13×pow-prod-down
11×cbrt-undiv
7×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 210
Calls
4 calls:
367.0ms
(* (/ 1 (cbrt z)) (* (* (cbrt (/ x (cbrt z))) (cbrt (/ x (cbrt z)))) (* (cbrt (/ x (cbrt z))) (/ y (cbrt z)))))
6.0ms
(cbrt (/ x (cbrt z)))
6.0ms
(cbrt (/ x (cbrt z)))
6.0ms
(cbrt (/ x (cbrt z)))

series875.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (/ 1 (cbrt z)) (* (* (cbrt (/ x (cbrt z))) (cbrt (/ x (cbrt z)))) (* (cbrt (/ x (cbrt z))) (/ y (cbrt z)))))
276.0ms
(cbrt (/ x (cbrt z)))
285.0ms
(cbrt (/ x (cbrt z)))
282.0ms
(cbrt (/ x (cbrt z)))

simplify1.5s

Counts
222 → 222
Iterations
IterNodes
done5001
1899
0297

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes589.0ms

Accuracy

35.5% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.1b

bsearch2.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample1.3s

Algorithm
intervals
Results
492.0ms9669×body80valid