Details

Time bar (total: 17.4s)

sample37.0ms

Algorithm
intervals
Results
24.0ms312×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5010
51662
4325
396
238
116
08

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b
(* y (/ x z))

rewrite17.0ms

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 insert-posit16 div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
16.0ms
(* y (/ x z))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* y (/ x z))

simplify2.0s

Counts
36 → 36
Iterations
IterNodes
done5000
32699
2573
1174
071

prune172.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(* (* (* (cbrt x) y) (cbrt x)) (/ (cbrt x) z))

rewrite106.0ms

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×insert-posit16 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
102.0ms
(* (* (* (cbrt x) y) (cbrt x)) (/ (cbrt x) z))

series957.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt x)
277.0ms
(cbrt x)
338.0ms
(cbrt x)
48.0ms
(* (* (* (cbrt x) y) (cbrt x)) (/ (cbrt x) z))

simplify1.9s

Counts
96 → 96
Iterations
IterNodes
done5001
21482
1374
0123

prune530.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (* (cbrt x) y) (cbrt x)) (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))))
5.0b
(cbrt (/ (cbrt x) z))
5.0b
(cbrt (/ (cbrt x) z))
5.0b
(cbrt (/ (cbrt x) z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
54×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25×pow1 add-exp-log
15×pow-prod-down prod-exp cbrt-unprod
13×add-cbrt-cube
7×cbrt-div
4×associate-*r/ insert-posit16 add-log-exp
3×pow1/3 div-inv
1×frac-times associate-*r* associate-*l* associate-*l/ *-commutative
Counts
4 → 128
Calls
4 calls:
110.0ms
(* (* (* (cbrt x) y) (cbrt x)) (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))))
1.0ms
(cbrt (/ (cbrt x) z))
1.0ms
(cbrt (/ (cbrt x) z))
2.0ms
(cbrt (/ (cbrt x) z))

series1.2s

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (* (* (cbrt x) y) (cbrt x)) (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))))
288.0ms
(cbrt (/ (cbrt x) z))
291.0ms
(cbrt (/ (cbrt x) z))
265.0ms
(cbrt (/ (cbrt x) z))

simplify3.3s

Counts
140 → 140
Iterations
IterNodes
done5016
34578
21099
1367
0171

prune873.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite9.0ms

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×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
8.0ms
(/ (* x y) z)

series25.0ms

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

simplify2.1s

Counts
25 → 25
Iterations
IterNodes
done5000
31879
2437
1120
049

prune140.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes606.0ms

Accuracy

96% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.2b

bsearch2.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
022

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s9594×body80valid