Details

Time bar (total: 15.0s)

sample53.0ms

Algorithm
intervals
Results
17.0ms272×body80nan
10.0ms269×body80valid

simplify149.0ms

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

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log sqrt-prod add-log-exp
3×associate-*l*
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 (* y (sqrt z)))
8.0ms
(* y (sqrt z))

series138.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ x (* y (sqrt z)))
71.0ms
(* y (sqrt z))

simplify2.7s

Counts
39 → 39
Iterations
IterNodes
done5003
33999
2771
1228
086

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
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-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
3.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
30.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(sqrt (sqrt z))
201.0ms
(sqrt (sqrt z))
124.0ms
(* y (sqrt (sqrt z)))
79.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done5001
21684
1354
0132

prune625.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (cbrt (* (sqrt (sqrt z)) (sqrt z))))
0.3b
(* (* y (cbrt (* (sqrt (sqrt z)) (sqrt z)))) (sqrt (sqrt z)))
0.3b
(* (sqrt (sqrt z)) (sqrt z))
0.6b
(cbrt (* (sqrt (sqrt z)) (sqrt z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt sqrt-prod
23×pow1
19×associate-*r*
14×*-un-lft-identity add-cube-cbrt
13×associate-*l* add-exp-log
12×sqrt-pow1
11×add-cbrt-cube
8×pow1/2
7×pow-prod-down unswap-sqr
6×pow-prod-up
5×prod-exp cbrt-unprod
4×cube-unmult add-log-exp
3×*-commutative
2×cbrt-prod pow-plus rem-cbrt-cube
1×pow1/3 sqrt-unprod
Counts
4 → 99
Calls
4 calls:
12.0ms
(* y (cbrt (* (sqrt (sqrt z)) (sqrt z))))
41.0ms
(* (* y (cbrt (* (sqrt (sqrt z)) (sqrt z)))) (sqrt (sqrt z)))
21.0ms
(* (sqrt (sqrt z)) (sqrt z))
10.0ms
(cbrt (* (sqrt (sqrt z)) (sqrt z)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* y (cbrt (* (sqrt (sqrt z)) (sqrt z))))
89.0ms
(* (* y (cbrt (* (sqrt (sqrt z)) (sqrt z)))) (sqrt (sqrt z)))
262.0ms
(* (sqrt (sqrt z)) (sqrt z))
233.0ms
(cbrt (* (sqrt (sqrt z)) (sqrt z)))

simplify1.4s

Counts
111 → 111
Iterations
IterNodes
done5000
22149
1447
0168

prune733.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
4.2b
(cbrt (* y (sqrt z)))
4.2b
(cbrt (* y (sqrt z)))
4.2b
(cbrt (* y (sqrt z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
26.0ms
(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
8.0ms
(cbrt (* y (sqrt z)))
8.0ms
(cbrt (* y (sqrt z)))
8.0ms
(cbrt (* y (sqrt z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
227.0ms
(cbrt (* y (sqrt z)))
166.0ms
(cbrt (* y (sqrt z)))
632.0ms
(cbrt (* y (sqrt z)))

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5000
2925
1239
092

prune531.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes613.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
533.0ms8510×body80valid
524.0ms8588×body80nan