Details

sample124.0ms

Algorithm

intervals

Results

52.0ms	256×	body	80	valid
46.0ms	265×	body	80	nan

simplify74.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3/2)
1.0b	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
1.0b	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
1.0b	(/ (acos (/ (- g) h)) 3)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `div-sub` `associate-/l` `add-log-exp`
4×	`pow1` `associate-+l-` `insert-posit16`
3×	`acos-asin` `acos-neg` `distribute-frac-neg`
2×	`cos-diff` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out`
1×	`+-commutative` `cos-sum` `sum-log` `flip3-+` `frac-add` `flip-+`

Counts

4 → 86

Calls

4 calls:

Slowest

36.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
20.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
9.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(/ PI 3/2)

series210.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

141.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
50.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
18.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(/ PI 3/2)

simplify1.7s

Counts: 96 → 96

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

57.3b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)
1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `cos-sum` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`
1×	`associate--l-` `acos-asin` `cos-diff` `flip3--` `diff-log` `div-sub` `frac-sub` `flip--`

Counts

4 → 88

Calls

4 calls:

Slowest

22.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
16.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
7.0ms	(/ PI 3/2)
6.0ms	(/ PI 3/2)

series222.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

176.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
45.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)

simplify1.4s

Counts: 96 → 96

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
1.0b	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
0.0b	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
0.0b	(* (acos (/ (- g) h)) 3/2)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

Slowest

41.0ms	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
19.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
15.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
10.0ms	(* (acos (/ (- g) h)) 3/2)

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
60.0ms	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
32.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
17.0ms	(* (acos (/ (- g) h)) 3/2)

simplify1.1s

Counts: 81 → 81

prune830.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

1.6b	(cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2)))
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)
1.0b	(/ (/ PI 2) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
7×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`cos-sum`
1×	`cos-diff` `sub-neg` `associate-/l/`

Counts

4 → 138

Calls

4 calls:

Slowest

18.0ms	(cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2)))
9.0ms	(/ PI 3/2)
7.0ms	(/ (/ PI 2) 3)
3.0ms	(/ PI 3/2)

series144.0ms

Counts

4 → 6

Calls

4 calls:

Slowest

144.0ms	(cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)
0.0ms	(/ (/ PI 2) 3)

simplify1.2s

Counts: 144 → 144

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch16.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.1s	8010×	body	80	nan
1.7s	8000×	body	80	valid