Details

Time bar (total: 14.9s)

sample58.0ms

Algorithm
intervals
Results
38.0ms304×body80valid

simplify1.3s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 1 expressions with local error:

6.8b
(* y (/ x z))

rewrite13.0ms

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:
12.0ms
(* y (/ x z))

series22.0ms

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

simplify1.6s

Counts
36 → 36
Iterations
IterNodes
done5009
32312
2548
1174
071

prune201.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.7b
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

rewrite59.0ms

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×insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
53.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series908.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt z)
267.0ms
(cbrt z)
273.0ms
(cbrt z)
93.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done5000
21888
1444
0143

prune600.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

4.9b
(/ x (/ z y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp
Counts
1 → 71
Calls
1 calls:
17.0ms
(/ x (/ z y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ x (/ z y))

simplify2.0s

Counts
74 → 74
Iterations
IterNodes
done5001
33725
21002
1368
0151

prune384.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (/ z y) x))
4.9b
(/ (/ z y) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×associate-/r*
28×add-exp-log
22×div-inv
18×div-exp
16×add-cbrt-cube associate-/l*
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 272
Calls
2 calls:
17.0ms
(/ 1 (/ (/ z y) x))
15.0ms
(/ (/ z y) x)

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (/ (/ z y) x))
36.0ms
(/ (/ z y) x)

simplify2.4s

Counts
278 → 278
Iterations
IterNodes
done5000
22778
11179
0423

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes364.0ms

Accuracy

-1.6% (6.1b remaining)

Error of 6.1b against oracle of 0.0b and baseline of 6.0b

bsearch209.0ms

Steps
ItersRangePoint
6
2.005999702236418e+22
2.0060014604055378e+23
4.956742987442585e+22
10
1.0793549410651282e-233
1.0896861391745654e-218
3.761519737827246e-224
12
-2.6138977326433276e-248
-2.421934827383345e-295
-3.74083005502277e-271

simplify6.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s9600×body80valid