Details

sample219.0ms

Algorithm

intervals

Results

91.0ms	109×	body	2560	valid
42.0ms	45×	body	640	valid
40.0ms	67×	body	1280	valid
25.0ms	273×	body	80	nan
4.0ms	14×	body	320	valid
2.0ms	8×	body	160	valid
2.0ms	13×	body	80	valid

simplify233.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

233.0ms

(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.1b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0b	(- 1 (* 5 (* v v)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

Slowest

22.0ms	(* 5 (* v v))
21.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
7.0ms	(- 1 (* 5 (* v v)))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
91.0ms	(- 1 (* 5 (* v v)))
48.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify7.4s

Counts

74 → 99

Calls

74 calls:

Slowest

376.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
328.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
276.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
265.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
254.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune867.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.1b	(* 5 (* v v))
0.0b	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

30.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
18.0ms	(* 5 (* v v))
13.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
2.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
57.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
48.0ms	(* 5 (* v v))
6.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify9.6s

Counts

80 → 103

Calls

80 calls:

Slowest

464.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
368.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
341.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
320.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
288.0ms	(- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))

prune931.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.1b	(* 5 (* v v))
0.0b	(exp (log (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))
0.0b	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
6×	`log-prod` `exp-sum` `add-log-exp`
4×	`exp-prod` `insert-posit16` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `asin-acos` `times-frac` `flip3--` `exp-diff` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `log-pow` `*-commutative` `associate--r-` `unswap-sqr` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

Slowest

25.0ms	(* 5 (* v v))
21.0ms	(exp (log (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))
19.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
46.0ms	(* 5 (* v v))
31.0ms	(exp (log (- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))
6.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify6.7s

Counts

42 → 79

Calls

42 calls:

Slowest

530.0ms	(- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
368.0ms	(- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
358.0ms	(- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
324.0ms	(exp (log (- (pow (/ PI 2) 3) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3))))
324.0ms	(- (* 1/2 PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))

prune903.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.4b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.1b	(* 5 (* v v))
0.1b	(* 5 (* v v))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

33.0ms	(* 5 (* v v))
25.0ms	(* 5 (* v v))
2.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
2.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(* 5 (* v v))
28.0ms	(* 5 (* v v))
6.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
5.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify3.0s

Counts

32 → 70

Calls

32 calls:

Slowest

317.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
301.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
298.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
287.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
287.0ms	(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

regimes168.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch6.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.4s	2943×	body	2560	valid
1.9s	2540×	body	1280	valid
1.2s	1282×	body	640	valid
885.0ms	7999×	body	80	nan
266.0ms	598×	body	320	valid
97.0ms	392×	body	160	valid
31.0ms	245×	body	80	valid