Details

Time bar (total: 13.9s)

sample50.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
17.0ms256×pre80true

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5000
51561
4319
3100
247
118
08

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
7.2b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite21.0ms

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×insert-posit16 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 → 82
Calls
2 calls:
18.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series48.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (/ b a) (/ b a))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.9s

Counts
88 → 88
Iterations
IterNodes
done5001
22550
1412
0130

prune370.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt b) a)
0.3b
(* (/ (sqrt b) a) (/ b a))
2.1b
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
7.2b
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
73×add-sqr-sqrt
70×times-frac
59×add-cbrt-cube
53×*-un-lft-identity add-cube-cbrt
44×associate-*l*
35×sqrt-prod
31×prod-exp
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
12×pow1
6×frac-times associate-*r/ associate-/l* unswap-sqr
5×1-exp
4×pow-prod-down associate-*l/ insert-posit16 div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 182
Calls
4 calls:
5.0ms
(/ (sqrt b) a)
22.0ms
(* (/ (sqrt b) a) (/ b a))
63.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
2.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (sqrt b) a)
82.0ms
(* (/ (sqrt b) a) (/ b a))
54.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
16.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

simplify1.2s

Counts
194 → 194
Iterations
IterNodes
done5000
1891
0284

prune994.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 7.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* (/ b a) (/ b a)))
0.0b
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
0.4b
(* (/ b a) (/ b a))
4.2b
(log (exp (* (/ b a) (/ b a))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
40×times-frac
34×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×pow1 swap-sqr associate-*r* associate-*l*
7×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv unswap-sqr
3×log-prod log-pow sqrt-prod
2×exp-prod exp-to-pow
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 rem-log-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up rem-exp-log
Counts
4 → 108
Calls
4 calls:
3.0ms
(exp (* (/ b a) (/ b a)))
1.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
13.0ms
(* (/ b a) (/ b a))
4.0ms
(log (exp (* (/ b a) (/ b a))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(exp (* (/ b a) (/ b a)))
13.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
47.0ms
(* (/ b a) (/ b a))
41.0ms
(log (exp (* (/ b a) (/ b a))))

simplify1.6s

Counts
120 → 120
Iterations
IterNodes
done5000
22745
1444
0153

prune602.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 7.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a))
2.1b
(* (/ (sqrt b) 1) (* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a)))
7.2b
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a))))))
59.1b
(posit16->real (real->posit16 (/ (sqrt b) a)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
32×add-sqr-sqrt
30×add-cbrt-cube
28×times-frac
26×*-un-lft-identity add-cube-cbrt
25×associate-*l*
17×prod-exp
14×associate-*r*
12×pow1 sqrt-prod cbrt-unprod
10×div-exp
6×cbrt-undiv
4×pow-prod-down associate-*r/ insert-posit16 add-log-exp
3×1-exp
2×*-commutative div-inv unswap-sqr
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ remove-posit16
Counts
4 → 108
Calls
4 calls:
17.0ms
(* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a))
33.0ms
(* (/ (sqrt b) 1) (* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a)))
6.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a))))))
0.0ms
(posit16->real (real->posit16 (/ (sqrt b) a)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a))
48.0ms
(* (/ (sqrt b) 1) (* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a)))
24.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (posit16->real (real->posit16 (/ (sqrt b) a))) (/ b a))))))
93.0ms
(posit16->real (real->posit16 (/ (sqrt b) a)))

simplify2.2s

Counts
120 → 120
Iterations
IterNodes
done5000
23975
1617
0221

prune877.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 7.1b

regimes199.0ms

Accuracy

0% (0.0b remaining)

Error of 7.5b against oracle of 7.5b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8000×body80valid
344.0ms8000×pre80true