Details

sample116.0ms

Algorithm

intervals

Results

56.0ms	266×	body	80	nan
37.0ms	256×	body	80	valid

simplify87.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

Slowest

35.0ms	(cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))
23.0ms	(+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))
16.0ms	(/ (* 2 PI) 3)
14.0ms	(/ (acos (/ (- g) h)) 3)

series215.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

140.0ms	(cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))
60.0ms	(+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))
15.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(/ (* 2 PI) 3)

simplify1.4s

Counts: 90 → 90

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

58.2b	(sin (+ (/ (* 2 PI) 3) (/ PI 3)))
1.0b	(/ (* 2 PI) 3)
1.0b	(/ (* 2 PI) 3)
1.0b	(+ (/ (* 2 PI) 3) (/ PI 3))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`times-frac` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-/r*` `add-log-exp`
5×	`distribute-rgt-out`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `div-inv`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `sin-sum` `frac-add` `flip-+` `distribute-lft-out`

Counts

4 → 73

Calls

4 calls:

Slowest

36.0ms	(sin (+ (/ (* 2 PI) 3) (/ PI 3)))
22.0ms	(/ (* 2 PI) 3)
12.0ms	(+ (/ (* 2 PI) 3) (/ PI 3))
9.0ms	(/ (* 2 PI) 3)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(sin (+ (/ (* 2 PI) 3) (/ PI 3)))
0.0ms	(/ (* 2 PI) 3)
0.0ms	(+ (/ (* 2 PI) 3) (/ PI 3))
0.0ms	(/ (* 2 PI) 3)

simplify1.2s

Counts: 77 → 77

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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` `add-log-exp`
4×	`pow1` `cos-sum` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`acos-asin` `cos-diff` `+-commutative` `sum-log` `sub-neg` `flip3-+` `div-sub` `associate-*l/` `frac-add` `associate--l+` `flip-+` `associate--r-`

Counts

4 → 82

Calls

4 calls:

Slowest

86.0ms	(cos (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (acos (/ g h)) 3)))
10.0ms	(+ (/ PI 3) (* (/ PI 3) 2))
7.0ms	(/ PI 3)
5.0ms	(/ PI 3)

series90.0ms

Counts

4 → 6

Calls

4 calls:

Slowest

90.0ms	(cos (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (acos (/ g h)) 3)))
0.0ms	(+ (/ PI 3) (* (/ PI 3) 2))
0.0ms	(/ PI 3)
0.0ms	(/ PI 3)

simplify871.0ms

Counts: 88 → 88

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3))
1.0b	(- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3))
1.0b	(cos (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3)))
1.0b	(sin (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
14×	`add-log-exp`
8×	`*-un-lft-identity`
6×	`times-frac` `frac-sub` `difference-of-squares`
4×	`pow1` `sub-neg` `add-cbrt-cube` `diff-log` `associate--l+` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`cos-sum` `sin-sum`
2×	`sum-log` `flip3-+` `flip3--` `associate-*l/` `frac-add` `flip-+` `flip--` `distribute-lft-out--`
1×	`cos-diff` `sin-diff`

Counts

4 → 68

Calls

4 calls:

Slowest

86.0ms	(sin (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3)))
80.0ms	(cos (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3)))
64.0ms	(- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3))
50.0ms	(- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3))
0.0ms	(- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3))
0.0ms	(sin (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3)))
0.0ms	(cos (- (+ (/ PI 3) (* (/ PI 3) 2)) (/ (/ PI 2) 3)))

simplify1.5s

Counts: 72 → 72

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.7s	7918×	body	80	nan