Details

Time bar (total: 57.1s)

sample287.0ms

Algorithm
intervals
Results
40.0ms273×body80valid
28.0ms292×body80nan

simplify325.0ms

Counts
1 → 1
Iterations
IterNodes
done121
8121
7119
6113
5103
486
366
247
121
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite43.0ms

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:
35.0ms
(* y (sqrt z))

series239.0ms

Counts
1 → 3
Calls
1 calls:
238.0ms
(* y (sqrt z))

simplify11.9s

Counts
25 → 25
Iterations
IterNodes
done5037
44711
31347
2465
1156
063

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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))
5.0ms
(sqrt (sqrt z))
23.0ms
(* y (sqrt (sqrt z)))
90.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series943.0ms

Counts
4 → 12
Calls
4 calls:
406.0ms
(sqrt (sqrt z))
294.0ms
(sqrt (sqrt z))
158.0ms
(* y (sqrt (sqrt z)))
75.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify9.4s

Counts
100 → 100
Iterations
IterNodes
done5000
34848
21273
1355
0132

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 3 expressions with local error:

0.2b
(sqrt (sqrt z))
0.3b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite488.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
12×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
8×associate-*l*
7×pow1
4×unpow-prod-down sqrt-pow1 cbrt-unprod
3×add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
3 → 69
Calls
3 calls:
4.0ms
(sqrt (sqrt z))
32.0ms
(* (pow z 1/4) y)
438.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series2.1s

Counts
3 → 9
Calls
3 calls:
815.0ms
(sqrt (sqrt z))
372.0ms
(* (pow z 1/4) y)
929.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify4.7s

Counts
78 → 78
Iterations
IterNodes
done5001
21407
1407
0155

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt z))
0.3b
(* (* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b
(* (pow z 1/4) y)
0.4b
(* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
35×add-exp-log
27×associate-*r*
24×add-sqr-sqrt
22×prod-exp
20×add-cbrt-cube
17×add-cube-cbrt *-un-lft-identity
13×pow1
10×cbrt-unprod
9×associate-*l*
4×unpow-prod-down sqrt-pow1 pow-prod-down add-log-exp
3×pow-to-exp pow-exp *-commutative unswap-sqr
2×rem-sqrt-square pow1/2 sqr-pow
Counts
4 → 103
Calls
4 calls:
5.0ms
(sqrt (sqrt z))
256.0ms
(* (* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
111.0ms
(* (pow z 1/4) y)
684.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z))))

series2.6s

Counts
4 → 12
Calls
4 calls:
540.0ms
(sqrt (sqrt z))
419.0ms
(* (* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
414.0ms
(* (pow z 1/4) y)
1.2s
(* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z))))

simplify6.9s

Counts
115 → 115
Iterations
IterNodes
done5001
22059
1561
0207

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes3.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample8.0s

Algorithm
intervals
Results
3.3s8539×body80nan
3.2s8514×body80valid