Details

sample97.0ms

Algorithm

intervals

Results

37.0ms	98×	body	2560	valid
21.0ms	80×	body	1280	valid
10.0ms	284×	body	80	nan
9.0ms	44×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	6×	body	80	valid

simplify89.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b	(- 1.0 (* 5.0 (* v v)))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

25.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms	(- 1.0 (* 5.0 (* v v)))
39.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
67.0ms	(- 1.0 (* 5.0 (* v v)))
29.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify38.0ms

Counts: 87 → 87

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v))))
0.1b	(* (- (* 5.0 5.0)) (pow v 4))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `times-frac` `associate-l`
8×	`associate-r`
6×	`prod-exp`
4×	`unpow-prod-down` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `distribute-lft-neg-out` `distribute-lft-neg-in` `acos-asin` `pow-to-exp` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `div-exp` `pow-exp` `clear-num` `div-inv`

Counts

4 → 87

Calls

4 calls:

34.0ms	(/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v))))
16.0ms	(* (- (* 5.0 5.0)) (pow v 4))
22.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v))))
42.0ms	(* (- (* 5.0 5.0)) (pow v 4))
28.0ms	(* 5.0 (* v v))
9.0ms	(acos (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

simplify60.0ms

Counts: 99 → 99

prune293.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))
0.1b	(* (- (* 5.0 5.0)) (pow v 4))
0.2b	(* 5.0 (* v v))
0.4b	(asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`*-un-lft-identity`
9×	`pow1` `associate-l`
8×	`add-cube-cbrt` `associate-r`
6×	`prod-exp` `add-log-exp`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down`
2×	`asin-acos` `*-commutative` `difference-of-squares` `sqr-pow`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `pow-to-exp` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-neg-in` `times-frac` `diff-log` `pow-exp` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 72

Calls

4 calls:

23.0ms	(- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))
17.0ms	(* (- (* 5.0 5.0)) (pow v 4))
17.0ms	(* 5.0 (* v v))
2.0ms	(asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))
45.0ms	(* (- (* 5.0 5.0)) (pow v 4))
27.0ms	(* 5.0 (* v v))
9.0ms	(asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

simplify48.0ms

Counts: 84 → 84

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))))
1.0b	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))
1.0b	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))
1.0b	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

92.0ms	(* (cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))))
11.0ms	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))
10.0ms	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))
17.0ms	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))))
263.0ms	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))
263.0ms	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))
264.0ms	(cbrt (- (/ PI 2) (asin (/ (/ (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))

simplify141.0ms

Counts: 119 → 119

prune462.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	3024×	body	2560	valid
826.0ms	2473×	body	1280	valid
412.0ms	8253×	body	80	nan
295.0ms	1240×	body	640	valid
88.0ms	586×	body	320	valid
50.0ms	472×	body	160	valid
12.0ms	205×	body	80	valid