Details

Time bar (total: 30.2s)

sample56.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
12.0ms256×pre80true

simplify7.9s

Counts
1 → 1
Iterations
IterNodes
86442
71455
6631
5341
4166
386
244
119
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize15.0ms

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)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×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×expm1-log1p-u fma-neg prod-diff sqrt-prod insert-posit16 log1p-expm1-u
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 → 109
Calls
3 calls:
6.0ms
(- 1 (* (/ b a) (/ b a)))
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series114.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- 1 (* (/ b a) (/ b a)))
35.0ms
(* (/ b a) (/ b a))
20.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.8s

Counts
118 → 118
Iterations
IterNodes
35219
21454
1482
0167

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 9.5b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
46×sqrt-prod
42×times-frac
35×*-un-lft-identity add-cube-cbrt
32×associate-*r*
25×pow1
18×add-cbrt-cube add-exp-log
14×associate-*l*
11×sqrt-div pow-prod-up
7×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
6×frac-times associate-*l/ unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rem-sqrt-square pow3
2×cbrt-undiv div-exp *-commutative
1×pow-plus
Counts
4 → 150
Calls
4 calls:
2.0ms
(sqrt (/ b a))
38.0ms
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
14.0ms
(* (/ b a) (sqrt (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

series282.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (/ b a))
32.0ms
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
169.0ms
(* (/ b a) (sqrt (/ b a)))
14.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

simplify4.1s

Counts
162 → 162
Iterations
IterNodes
35234
21794
1510
0210

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 9.3b

localize32.0ms

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)))))

rewrite31.0ms

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:
13.0ms
(* (/ b a) (/ b a))
13.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ b a) (/ b a))
45.0ms
(* (/ b a) (/ b a))
61.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
54.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.3s

Counts
180 → 180
Iterations
IterNodes
34209
21242
1398
0133

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 9.3b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
23×times-frac
21×*-un-lft-identity add-cube-cbrt
20×sqrt-prod
19×associate-*r*
18×add-cbrt-cube add-exp-log
15×pow1
14×associate-*l*
7×prod-exp cbrt-unprod
6×unswap-sqr
5×associate-*l/
4×expm1-log1p-u sqrt-div pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×frac-times cbrt-undiv sqrt-pow1 pow1/2 div-exp associate-*r/ *-commutative pow-prod-up div-inv
1×rem-sqrt-square pow3 remove-posit16
Counts
4 → 110
Calls
4 calls:
46.0ms
(* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a)))))
28.0ms
(* (/ b a) (sqrt (/ b a)))
3.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a))))))))
1.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a)))))
179.0ms
(* (/ b a) (sqrt (/ b a)))
14.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (posit16->real (real->posit16 (sqrt (/ b a))))))))
64.0ms
(posit16->real (real->posit16 (sqrt (/ b a))))

simplify1.9s

Counts
122 → 122
Iterations
IterNodes
33730
21213
1427
0188

prune2.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 9.3b

regimes198.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
18
08

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s8000×body80valid
343.0ms8000×pre80true