Details

sample162.0ms

Algorithm

intervals

Results

74.0ms	264×	body	80	nan
62.0ms	256×	body	80	valid

simplify33.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

33.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3/2)
1.0b	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
1.0b	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.9b	(/ (acos (/ (- g) h)) 3)

rewrite57.0ms

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

30.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
11.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
10.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(/ PI 3/2)

series218.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

143.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
60.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
15.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(/ PI 3/2)

simplify1.9s

Counts

71 → 96

Calls

71 calls:

Slowest

222.0ms	(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
202.0ms	(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
123.0ms	(* (cos (/ (/ PI 2) 3)) (cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2))))
86.0ms	(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
84.0ms	(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))

prune998.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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` `sin-PI/3`

Counts

4 → 76

Calls

4 calls:

Slowest

41.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
6.0ms	(/ PI 3)
6.0ms	(sin (/ PI 3))
4.0ms	(/ PI 3/2)

series149.0ms

Counts

4 → 6

Calls

4 calls:

Slowest

149.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
0.0ms	(sin (/ PI 3))
0.0ms	(/ PI 3)
0.0ms	(/ PI 3/2)

simplify1.9s

Counts

58 → 82

Calls

58 calls:

Slowest

277.0ms	(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
277.0ms	(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
230.0ms	(/ (* (* PI PI) PI) (* (* 3 3) 3))
229.0ms	(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
221.0ms	(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

1.0b	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
0.9b	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
0.0b	(* (acos (/ (- g) h)) 3/2)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 39

Calls

3 calls:

Slowest

15.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
8.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
6.0ms	(* (acos (/ (- g) h)) 3/2)

series230.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

164.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
45.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
21.0ms	(* (acos (/ (- g) h)) 3/2)

simplify1.1s

Counts

19 → 48

Calls

19 calls:

Slowest

211.0ms	(* (exp (* (acos (/ (- g) h)) 3/2)) (exp (* 3 PI)))
155.0ms	(* (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3/2 3/2) 3/2))
107.0ms	(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))
99.0ms	(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))
93.0ms	(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))

prune574.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
0.9b	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
0.0b	(* (acos (/ (- g) h)) 3/2)
0.0b	(log (exp (cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`log-pow` `insert-posit16`
3×	`log-prod` `exp-prod` `associate-r` `associate-l`
1×	`+-commutative` `sum-log` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 55

Calls

4 calls:

Slowest

35.0ms	(log (exp (cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))))
18.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
13.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
9.0ms	(* (acos (/ (- g) h)) 3/2)

series385.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

173.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))
161.0ms	(log (exp (cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))))
35.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
17.0ms	(* (acos (/ (- g) h)) 3/2)

simplify1.8s

Counts

29 → 67

Calls

29 calls:

Slowest

275.0ms	(* (exp (* (acos (/ (- g) h)) 3/2)) (exp (* 3 PI)))
165.0ms	(* (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3/2 3/2) 3/2))
143.0ms	(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))
137.0ms	(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))
119.0ms	(cos (* 2/9 (+ (* 3/2 (acos (* -1 (/ g h)))) (* 3 PI))))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch3.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
1.5s	7956×	body	80	nan