Details

sample217.0ms

Algorithm

intervals

Results

91.0ms	104×	body	2560	valid
48.0ms	77×	body	1280	valid
38.0ms	274×	body	80	nan
15.0ms	35×	body	640	valid
6.0ms	17×	body	320	valid
4.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize26.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.1b	(* 5 (* v v))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16` `add-log-exp`
1×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

Slowest

13.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

56.0ms	(* 5 (* v v))
4.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify3.3s

Counts: 35 → 35

prune358.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))
0.1b	(* (* v v) 5)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16` `add-log-exp`
1×	`acos-asin` `associate-l` `*-commutative` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

Slowest

14.0ms	(* (* v v) 5)
1.0ms	(acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

67.0ms	(* (* v v) 5)
6.0ms	(acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))

simplify992.0ms

Counts: 35 → 35

prune285.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.9b	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.9b	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.8b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

Slowest

8.0ms	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

20.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
17.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
4.0ms	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify3.7s

Counts: 99 → 99

prune939.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize102.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

232.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
213.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
207.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
160.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

simplify1.7s

Counts: 60 → 60

prune850.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

regimes206.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.7s	3013×	body	2560	valid
1.9s	2464×	body	1280	valid
1.2s	1227×	body	640	valid
908.0ms	8082×	body	80	nan
304.0ms	635×	body	320	valid
113.0ms	453×	body	160	valid
29.0ms	208×	body	80	valid