Details

sample146.0ms

Algorithm

intervals

Results

66.0ms	225×	body	80	nan
57.0ms	256×	body	80	valid

simplify54.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize53.0ms

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))
0.9b	(/ (acos (/ (- g) h)) 3)

rewrite72.0ms

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

32.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
21.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
10.0ms	(/ (acos (/ (- g) h)) 3)
7.0ms	(/ PI 3/2)

series195.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

145.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
33.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
17.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(/ PI 3/2)

simplify1.3s

Counts: 96 → 96

prune944.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

56.4b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b	(/ PI 3/2)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

Slowest

38.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
22.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
22.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
7.0ms	(/ PI 3/2)

series269.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

168.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
60.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
41.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms	(/ PI 3/2)

simplify983.0ms

Counts: 91 → 91

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

56.4b	(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b	(/ (/ PI 2) 3)
1.0b	(/ PI 3/2)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
66×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
54×	`add-cube-cbrt`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv` `add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `difference-of-squares`
3×	`cos-sum`
2×	`clear-num` `sub-neg` `frac-2neg` `div-sub` `distribute-lft-out--`
1×	`associate--l-` `acos-asin` `cos-diff` `asin-acos` `flip3--` `diff-log` `frac-sub` `associate-+l-` `flip--` `associate--r-` `associate-/l/`

Counts

4 → 132

Calls

4 calls:

Slowest

78.0ms	(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
22.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
13.0ms	(/ (/ PI 2) 3)
7.0ms	(/ PI 3/2)

series239.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

193.0ms	(cos (- (/ (/ PI 2) 3) (+ (/ (asin (/ g h)) 3) (/ PI 3/2))))
46.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms	(/ (/ PI 2) 3)
0.0ms	(/ PI 3/2)

simplify1.4s

Counts: 140 → 140

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

56.5b	(cos (+ (* (asin (/ g h)) 1/3) (* PI 1/2)))
1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b	(/ PI 3/2)
0.9b	(/ (acos (/ g h)) 3)

rewrite78.0ms

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×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv` `distribute-lft-out--`
1×	`associate--l-` `cos-sum` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

4 → 87

Calls

4 calls:

Slowest

36.0ms	(cos (+ (* (asin (/ g h)) 1/3) (* PI 1/2)))
25.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
9.0ms	(/ (acos (/ g h)) 3)
7.0ms	(/ PI 3/2)

series197.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

131.0ms	(cos (+ (* (asin (/ g h)) 1/3) (* PI 1/2)))
54.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
12.0ms	(/ (acos (/ g h)) 3)
0.0ms	(/ PI 3/2)

simplify1.2s

Counts: 97 → 97

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch12.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.5s	7987×	body	80	nan