Details

Time bar (total: 10.0s)

sample59.0ms

Algorithm
intervals
Results
31.0ms256×body80valid
13.0ms256×pre80true

simplify1.9s

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize20.0ms

Local error

Found 3 expressions with local error:

8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))
0.0b
(- 1 (* (/ b a) (/ b a)))

rewrite39.0ms

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:
Slowest
30.0ms
(* (/ b a) (/ b a))
5.0ms
(- 1 (* (/ b a) (/ b a)))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
73.0ms
(- 1 (* (/ b a) (/ b a)))
37.0ms
(* (/ b a) (/ b a))
14.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.4s

Counts
106 → 106

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 8.3b

localize21.0ms

Local error

Found 4 expressions with local error:

8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
88×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*
20×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×sqrt-prod
4×insert-posit16 add-log-exp
2×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
4 → 164
Calls
4 calls:
Slowest
19.0ms
(* (/ b a) (/ b a))
13.0ms
(* (/ b a) (/ b a))
4.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
35.0ms
(* (/ b a) (/ b a))
31.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.3s

Counts
176 → 176

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 8.3b

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 7.3b against oracle of 7.3b and baseline of 7.3b

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8000×body80valid
312.0ms8000×pre80true