Details

Time bar (total: 19.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5216
62493
5808
4236
388
244
119
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.1b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
31×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
10×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
2 → 86
Calls
2 calls:
46.0ms
(* (/ b a) (/ b a))
3.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series50.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (/ b a) (/ b a))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.8s

Counts
92 → 92
Iterations
IterNodes
done5001
34044
21310
1407
0134

prune385.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.0b

localize40.0ms

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))
8.1b
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a))))))

rewrite173.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rem-sqrt-square
2×cbrt-undiv cube-unmult div-exp *-commutative
Counts
4 → 155
Calls
4 calls:
7.0ms
(sqrt (/ b a))
100.0ms
(* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a)))
56.0ms
(* (sqrt (/ b a)) (/ b a))
3.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a))))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (/ b a))
38.0ms
(* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a)))
161.0ms
(* (sqrt (/ b a)) (/ b a))
20.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (sqrt (/ b a)) (/ b a))))))

simplify2.7s

Counts
167 → 167
Iterations
IterNodes
done5000
34941
21425
1517
0207

prune732.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 7.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.4b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.4b
(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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 168
Calls
4 calls:
25.0ms
(* (/ b a) (/ b a))
31.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series210.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ b a) (/ b a))
34.0ms
(* (/ b a) (/ b a))
71.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
67.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.4s

Counts
180 → 180
Iterations
IterNodes
done5000
33906
21305
1407
0133

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 7.9b

localize69.0ms

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))
8.1b
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))))))
57.3b
(posit16->real (real->posit16 (sqrt (/ b a))))

rewrite88.0ms

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×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u 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 → 101
Calls
4 calls:
54.0ms
(* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a)))
26.0ms
(* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))
3.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))))))
1.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a)))
183.0ms
(* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))
29.0ms
(sqrt (fabs (- 1 (* (sqrt (/ b a)) (* (posit16->real (real->posit16 (sqrt (/ b a)))) (/ b a))))))
59.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

simplify3.0s

Counts
113 → 113
Iterations
IterNodes
done5000
34639
21256
1420
0179

prune841.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 7.9b

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 7.2b against oracle of 7.1b and baseline of 7.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
995.0ms8000×body80valid
261.0ms8000×pre80true