Details

sample53.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify3.1s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize12.0ms

Local error

Found 2 expressions with local error:

6.2b	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b	(* (/ b a) (/ b a))

rewrite28.0ms

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:

Slowest

25.0ms	(* (/ b a) (/ b a))
1.0ms	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series65.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(* (/ b a) (/ b a))
24.0ms	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.3s

Counts: 92 → 92

prune859.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 6.2b

localize32.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (exp (* (/ b a) (/ b a))))
0.4b	(* (/ b a) (/ b a))
0.0b	(exp (* (/ b a) (/ b a)))
0.0b	(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))

rewrite44.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 116

Calls

4 calls:

Slowest

25.0ms	(* (/ b a) (/ b a))
7.0ms	(log (exp (* (/ b a) (/ b a))))
6.0ms	(exp (* (/ b a) (/ b a)))
2.0ms	(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(log (exp (* (/ b a) (/ b a))))
37.0ms	(* (/ b a) (/ b a))
31.0ms	(exp (* (/ b a) (/ b a)))
22.0ms	(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))

simplify1.5s

Counts: 128 → 128

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 6.2b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
337.0ms	8000×	pre	80	true