Details

Time bar (total: 14.2s)

sample61.0ms

Algorithm
intervals
Results
13.0ms269×body80valid
13.0ms269×body80nan

simplify134.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:
8.0ms
(+ x (* y (sqrt z)))
15.0ms
(* y (sqrt z))

series118.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (* y (sqrt z)))
79.0ms
(* y (sqrt z))

simplify2.1s

Counts
39 → 39
Iterations
IterNodes
done5003
33999
2771
1228
086

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite69.0ms

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))
16.0ms
(* y (sqrt (sqrt z)))
43.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(sqrt (sqrt z))
216.0ms
(sqrt (sqrt z))
122.0ms
(* y (sqrt (sqrt z)))
62.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done5001
21684
1354
0132

prune537.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b
(sqrt (sqrt z))
0.2b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite52.0ms

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
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 → 80
Calls
4 calls:
9.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms
(sqrt (sqrt z))
10.0ms
(* (pow z 1/4) y)
29.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
195.0ms
(sqrt (sqrt z))
117.0ms
(* (pow z 1/4) y)
137.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.7s

Counts
92 → 92
Iterations
IterNodes
done5001
22302
1484
0181

prune726.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
0.0b
(pow (/ 1 z) -1/4)
0.2b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
45×prod-exp
30×unpow-prod-down
28×add-sqr-sqrt
27×pow-exp
23×*-un-lft-identity add-cube-cbrt
20×associate-*r*
18×times-frac
12×pow-to-exp
11×add-cbrt-cube
10×div-exp
8×associate-*l*
6×pow1 add-log-exp
5×rec-exp 1-exp
4×cbrt-unprod sqr-pow
3×pow-unpow pow-pow unswap-sqr
2×*-commutative div-inv
1×+-commutative sum-log flip3-+ flip-+ pow-flip inv-pow
Counts
4 → 120
Calls
4 calls:
6.0ms
(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
6.0ms
(pow (/ 1 z) -1/4)
11.0ms
(* (pow z 1/4) y)
65.0ms
(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

series573.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
314.0ms
(pow (/ 1 z) -1/4)
118.0ms
(* (pow z 1/4) y)
83.0ms
(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

simplify2.0s

Counts
132 → 132
Iterations
IterNodes
done5003
22808
1645
0221

prune638.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
560.0ms8521×body80valid
479.0ms8452×body80nan