Details

sample266.0ms

Algorithm

intervals

Results

131.0ms	109×	body	2560	valid
52.0ms	71×	body	1280	valid
31.0ms	284×	body	80	nan
24.0ms	40×	body	640	valid
8.0ms	20×	body	320	valid
3.0ms	10×	body	160	valid
1.0ms	6×	body	80	valid

simplify1.6s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 3 expressions with local error:

0.5b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.1b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`associate-/r*`
4×	`difference-of-sqr-1`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

Slowest

27.0ms	(* 5 (* v v))
20.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

92.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
31.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.5s

Counts: 83 → 83

prune805.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))
0.1b	(* (* v v) (* (* v v) 4))
0.0b	(* (* v v) 4)
0.0b	(* (* v v) 4)

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

Slowest

95.0ms	(acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))
83.0ms	(* (* v v) (* (* v v) 4))
27.0ms	(* (* v v) 4)
14.0ms	(* (* v v) 4)

series151.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(* (* v v) (* (* v v) 4))
50.0ms	(* (* v v) 4)
47.0ms	(* (* v v) 4)
4.0ms	(acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))

simplify4.0s

Counts: 90 → 90

prune786.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))) (sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))))
1.0b	(sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0b	(sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
0.5b	(acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))

rewrite114.0ms

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

100.0ms	(acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))
11.0ms	(* (sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))) (sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))))
1.0ms	(sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0ms	(sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

25.0ms	(sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
17.0ms	(sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
7.0ms	(acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))
5.0ms	(* (sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))) (sqrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4)))))

simplify2.9s

Counts: 99 → 99

prune934.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0b	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0b	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0b	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))

rewrite12.0ms

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

7.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
1.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

200.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
197.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
182.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))
163.0ms	(cbrt (acos (+ (+ (* (* v v) (* (* v v) 4)) -1) (* (* v v) 4))))

simplify1.7s

Counts: 60 → 60

prune945.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.7b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

2.8s	3045×	body	2560	valid
2.3s	2497×	body	1280	valid
1.1s	1216×	body	640	valid
902.0ms	8161×	body	80	nan
276.0ms	606×	body	320	valid
130.0ms	449×	body	160	valid
47.0ms	187×	body	80	valid