Details

sample128.0ms

Algorithm

intervals

Results

55.0ms	109×	body	2560	valid
27.0ms	73×	body	1280	valid
12.0ms	238×	body	80	nan
8.0ms	34×	body	640	valid
5.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	5×	body	80	valid

simplify69.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

34.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
51.0ms	(* 5.0 (* v v))
6.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify110.0ms

Counts: 72 → 72

prune238.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

17.0ms	(* 5.0 (* v v))
22.0ms	(* 5.0 (* v v))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 5.0 (* v v))
32.0ms	(* 5.0 (* v v))
34.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

simplify44.0ms

Counts: 77 → 77

prune208.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow v 2) (pow v 4))
0.0b	(* 4.0 (+ (pow v 2) (pow v 4)))
0.5b	(acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `acos-asin` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

25.0ms	(+ (pow v 2) (pow v 4))
66.0ms	(* 4.0 (+ (pow v 2) (pow v 4)))
1.0ms	(acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))

series221.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (pow v 2) (pow v 4))
114.0ms	(* 4.0 (+ (pow v 2) (pow v 4)))
5.0ms	(acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))

simplify85.0ms

Counts: 52 → 52

prune188.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))
1.0b	(pow (acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))))) 3)
1.0b	(cbrt (pow (acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))))) 3))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow1/3` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

42.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))
5.0ms	(pow (acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))))) 3)
5.0ms	(cbrt (pow (acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))))) 3))

series183.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 5.0 (* v v))
13.0ms	(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))
111.0ms	(pow (acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))))) 3)
14.0ms	(cbrt (pow (acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))))) 3))

simplify193.0ms

Counts: 83 → 83

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes67.0ms

Accuracy

0.4% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify96.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.5s	3001×	body	2560	valid
1.5s	2523×	body	1280	valid
633.0ms	8074×	body	80	nan
566.0ms	1250×	body	640	valid
129.0ms	602×	body	320	valid
62.0ms	412×	body	160	valid
17.0ms	212×	body	80	valid