Details

Time bar (total: 24.6s)

sample32.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
7.0ms256×pre80true

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
85935
71234
6515
5299
4157
383
243
118
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1 (* (/ b a) (/ b a)))
0.4b
(* (/ b a) (/ b a))
9.5b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity
32×add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
5×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod insert-posit16
2×difference-of-squares
1×pow2 frac-times rem-sqrt-square sub-neg sqrt-pow1 pow-plus flip3-- pow1/2 diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip--
Counts
3 → 97
Calls
3 calls:
9.0ms
(- 1 (* (/ b a) (/ b a)))
29.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series131.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- 1 (* (/ b a) (/ b a)))
45.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.3s

Counts
106 → 106
Iterations
IterNodes
35092
21379
1455
0154

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 9.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ b a))
0.2b
(* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a)))
0.3b
(* (sqrt (/ b a)) (/ b a))
9.5b
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a))))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
46×sqrt-prod
42×times-frac
35×*-un-lft-identity add-cube-cbrt
32×associate-*l*
30×pow1
18×add-cbrt-cube add-exp-log
15×pow-prod-up
14×associate-*r*
12×sqrt-pow1 pow1/2
11×sqrt-div
7×prod-exp cbrt-unprod
6×frac-times pow-plus associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ insert-posit16 div-inv add-log-exp
3×rem-sqrt-square
2×cbrt-undiv cube-unmult div-exp *-commutative
Counts
4 → 147
Calls
4 calls:
2.0ms
(sqrt (/ b a))
39.0ms
(* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a)))
32.0ms
(* (sqrt (/ b a)) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a))))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (/ b a))
34.0ms
(* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a)))
137.0ms
(* (sqrt (/ b a)) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a))))))

simplify2.3s

Counts
159 → 159
Iterations
IterNodes
34292
21412
1494
0199

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 9.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
9.8b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
9.8b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
80×times-frac
62×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
18×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×cbrt-prod
4×insert-posit16 add-log-exp
2×pow2 frac-times pow-plus pow1/3 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 160
Calls
4 calls:
24.0ms
(* (/ b a) (/ b a))
25.0ms
(* (/ b a) (/ b a))
7.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ b a) (/ b a))
31.0ms
(* (/ b a) (/ b a))
86.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
72.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.3s

Counts
172 → 172
Iterations
IterNodes
34409
21259
1401
0129

prune2.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 9.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a)))
0.3b
(* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))
9.5b
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))))))
57.2b
(posit16->real (real->posit16 (sqrt (/ b a))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac associate-*l*
18×add-cbrt-cube add-exp-log
16×sqrt-prod
14×associate-*r*
12×pow1
7×prod-exp cbrt-unprod
4×pow-prod-down associate-*r/ insert-posit16 add-log-exp
2×cbrt-undiv sqrt-div div-exp *-commutative div-inv unswap-sqr
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ remove-posit16
Counts
4 → 93
Calls
4 calls:
27.0ms
(* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a)))
8.0ms
(* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))))))
0.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a)))
165.0ms
(* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))
13.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))))))
79.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

simplify2.6s

Counts
105 → 105
Iterations
IterNodes
33893
21266
1407
0171

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 9.3b

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 7.7b against oracle of 7.6b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
18
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
922.0ms8000×body80valid
383.0ms8000×pre80true