Details

sample148.0ms

Algorithm

intervals

Results

68.0ms	260×	body	80	nan
56.0ms	256×	body	80	valid

simplify67.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize35.0ms

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)

rewrite47.0ms

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

28.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
10.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
5.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(/ PI 3/2)

series217.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

158.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
46.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
12.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(/ PI 3/2)

simplify724.0ms

Counts: 96 → 96

prune923.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

56.9b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.6b	(cos (/ PI 3))
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l`
4×	`pow1` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `cos-sum` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`cos-diff` `sub-neg` `cos-PI/3`

Counts

4 → 76

Calls

4 calls:

Slowest

32.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
7.0ms	(/ PI 3/2)
7.0ms	(/ PI 3/2)
5.0ms	(cos (/ PI 3))

series155.0ms

Counts

4 → 6

Calls

4 calls:

Slowest

155.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
0.0ms	(cos (/ PI 3))
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)

simplify2.1s

Counts: 82 → 82

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

60.1b	(log (exp (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))))
56.9b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.6b	(cos (/ PI 3))
1.0b	(/ PI 3/2)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`cos-sum` `log-prod` `log-pow` `insert-posit16` `add-log-exp`
3×	`exp-prod` `associate-/r` `associate-/l`
2×	`cos-diff` `log-div` `sub-neg` `exp-diff`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `cos-PI/3` `div-exp` `rem-log-exp` `exp-sum` `div-inv`

Counts

4 → 67

Calls

4 calls:

Slowest

63.0ms	(log (exp (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))))
33.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
7.0ms	(/ PI 3/2)
5.0ms	(cos (/ PI 3))

series352.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

184.0ms	(log (exp (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))))
168.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
0.0ms	(cos (/ PI 3))
0.0ms	(/ PI 3/2)

simplify2.4s

Counts: 75 → 75

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

1.6b	(cos (/ PI 3/2))
1.0b	(sin (/ PI 3/2))
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l`
4×	`pow1` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

Slowest

7.0ms	(/ PI 3/2)
7.0ms	(/ PI 3/2)
7.0ms	(cos (/ PI 3/2))
6.0ms	(sin (/ PI 3/2))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(cos (/ PI 3/2))
0.0ms	(/ PI 3/2)
0.0ms	(sin (/ PI 3/2))
0.0ms	(/ PI 3/2)

simplify3.2s

Counts: 76 → 76

prune912.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	7933×	body	80	nan
1.5s	8000×	body	80	valid