Details

sample102.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
32.0ms	270×	body	80	nan

simplify37.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(/ (acos (/ (- g) h)) 3.0)
41.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
36.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms	(/ (* 2.0 PI) 3.0)

series217.0ms

Counts

4 → 10

Calls

4 calls:

23.0ms	(/ (acos (/ (- g) h)) 3.0)
54.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
139.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.9s

Counts: 86 → 86

prune322.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

10.0ms	(/ (* 2.0 PI) 3.0)
25.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
27.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
63.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify1.7s

Counts: 71 → 71

prune431.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
79×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt`
41×	`sqrt-prod`
35×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-r` `associate-l`
15×	`unswap-sqr`
12×	`div-exp`
9×	`prod-exp` `associate-/r*`
8×	`pow1`
7×	`cbrt-undiv`
5×	`cbrt-unprod`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `cos-sum` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 157

Calls

4 calls:

58.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
29.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
8.0ms	(/ 1 (sqrt 3.0))
17.0ms	(/ (* 2.0 PI) 3.0)

series410.0ms

Counts

4 → 8

Calls

4 calls:

129.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
281.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.3s

Counts: 165 → 165

prune525.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(/ (* 2.0 PI) 3.0)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log`
21×	`add-cbrt-cube`
15×	`associate-/r*`
12×	`sqrt-prod`
8×	`div-exp`
7×	`cbrt-undiv`
6×	`pow1` `associate-/l*`
4×	`frac-2neg` `clear-num` `div-inv` `add-log-exp`
3×	`pow-flip` `prod-exp` `cbrt-unprod`
1×	`rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `inv-pow`

Counts

4 → 108

Calls

4 calls:

23.0ms	(/ 1 (sqrt 3.0))
20.0ms	(/ (* 2.0 PI) 3.0)
20.0ms	(/ (* 2.0 PI) 3.0)
22.0ms	(/ (* 2.0 PI) 3.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify482.0ms

Counts: 112 → 112

prune624.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0s

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
1.1s	8141×	body	80	nan