Details

Time bar (total: 5.4s)

sample38.0ms

Algorithm
intervals
Results
9.0ms275×body80valid
8.0ms258×body80nan

simplify8.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* y (sqrt z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
11.0ms
(* y (sqrt z))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* y (sqrt z))

simplify85.0ms

Counts
25 → 25

prune71.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
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:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
14.0ms
(* y (sqrt (sqrt z)))
45.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(sqrt (sqrt z))
143.0ms
(sqrt (sqrt z))
86.0ms
(* y (sqrt (sqrt z)))
47.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Counts
100 → 100

prune250.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize31.0ms

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)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series867.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (cbrt z) (cbrt z))
218.0ms
(cbrt z)
212.0ms
(cbrt z)
207.0ms
(cbrt z)

simplify83.0ms

Counts
85 → 85

prune388.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
14.0ms
(* y (sqrt (sqrt z)))
42.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
149.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(sqrt (sqrt z))
90.0ms
(* y (sqrt (sqrt z)))
119.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
46.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify59.0ms

Counts
114 → 114

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
772.0ms8535×body80valid
353.0ms8656×body80nan
0.0ms1×body160valid