Details

Time bar (total: 13.9s)

sample61.0ms

Algorithm
intervals
Results
22.0ms276×body80valid
16.0ms262×body80nan

simplify166.0ms

Counts
1 → 1
Iterations
IterNodes
done119
8119
7117
6113
5102
486
366
247
121
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite19.0ms

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×insert-posit16 unswap-sqr
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 35
Calls
2 calls:
5.0ms
(+ x (* y (sqrt z)))
13.0ms
(* y (sqrt z))

series117.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ x (* y (sqrt z)))
55.0ms
(* y (sqrt z))

simplify2.2s

Counts
41 → 41
Iterations
IterNodes
done5001
32032
2690
1229
088

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite91.0ms

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 insert-posit16 add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 92
Calls
4 calls:
4.0ms
(sqrt (sqrt z))
4.0ms
(sqrt (sqrt z))
25.0ms
(* y (sqrt (sqrt z)))
54.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(sqrt (sqrt z))
185.0ms
(sqrt (sqrt z))
120.0ms
(* y (sqrt (sqrt z)))
52.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.8s

Counts
104 → 104
Iterations
IterNodes
done5004
34986
21174
1355
0135

prune432.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b
(sqrt (sqrt z))
0.3b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-exp-log sqrt-prod
12×*-un-lft-identity associate-*r* add-cube-cbrt
11×add-cbrt-cube
10×prod-exp
8×pow1 associate-*l*
6×add-log-exp
4×unpow-prod-down sqrt-pow1 cbrt-unprod insert-posit16
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative sum-log flip3-+ pow-prod-down flip-+
Counts
4 → 84
Calls
4 calls:
7.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms
(sqrt (sqrt z))
11.0ms
(* (pow z 1/4) y)
31.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
228.0ms
(sqrt (sqrt z))
129.0ms
(* (pow z 1/4) y)
138.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5000
21652
1488
0185

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (pow z 1/4) (* y (sqrt (sqrt z)))))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (pow z 1/4) (* y (sqrt (sqrt z))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
12×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube
10×associate-*r* associate-*l* prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 cbrt-unprod insert-posit16
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative sum-log flip3-+ pow-prod-down flip-+ sqr-pow
Counts
4 → 84
Calls
4 calls:
14.0ms
(+ x (* (pow z 1/4) (* y (sqrt (sqrt z)))))
4.0ms
(sqrt (sqrt z))
22.0ms
(* y (sqrt (sqrt z)))
38.0ms
(* (pow z 1/4) (* y (sqrt (sqrt z))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ x (* (pow z 1/4) (* y (sqrt (sqrt z)))))
166.0ms
(sqrt (sqrt z))
99.0ms
(* y (sqrt (sqrt z)))
171.0ms
(* (pow z 1/4) (* y (sqrt (sqrt z))))

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
done5000
21849
1516
0193

prune418.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.7s

Algorithm
intervals
Results
806.0ms8541×body80valid
500.0ms8480×body80nan