Details

Time bar (total: 13.9s)

sample43.0ms

Algorithm
intervals
Results
10.0ms295×body80nan
10.0ms276×body80valid

simplify113.0ms

Counts
1 → 1
Iterations
IterNodes
done146
7146
6134
5121
4104
371
247
121
010

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (sqrt z) y))
0.2b
(* (sqrt z) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log sqrt-prod add-log-exp
3×associate-*r*
2×unswap-sqr
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ x (* (sqrt z) y))
8.0ms
(* (sqrt z) y)

series164.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ x (* (sqrt z) y))
88.0ms
(* (sqrt z) y)

simplify2.6s

Counts
39 → 39
Iterations
IterNodes
done5001
34977
2788
1221
083

prune198.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* (sqrt (sqrt z)) y)
0.4b
(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*l*
15×pow1 *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
11.0ms
(* (sqrt (sqrt z)) y)
50.0ms
(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

series688.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(sqrt (sqrt z))
221.0ms
(sqrt (sqrt z))
153.0ms
(* (sqrt (sqrt z)) y)
67.0ms
(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

simplify864.0ms

Counts
100 → 100
Iterations
IterNodes
done5001
21420
1326
0128

prune556.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
13.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (cbrt z) (cbrt z))
353.0ms
(cbrt z)
274.0ms
(cbrt z)
286.0ms
(cbrt z)

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune716.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
23.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.5s

Counts
4 → 12
Calls
4 calls:
367.0ms
(* (cbrt z) (cbrt z))
269.0ms
(cbrt z)
265.0ms
(cbrt z)
564.0ms
(cbrt z)

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune444.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes431.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.9s

Algorithm
intervals
Results
592.0ms8516×body80valid
540.0ms8684×body80nan