Details

sample91.0ms

Algorithm

intervals

Results

32.0ms	256×	body	80	valid
28.0ms	253×	body	80	nan

simplify28.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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)

rewrite97.0ms

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:

13.0ms	(/ (acos (/ (- g) h)) 3.0)
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
39.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms	(/ (* 2.0 PI) 3.0)

series199.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(/ (acos (/ (- g) h)) 3.0)
43.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
137.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify2.0s

Counts: 86 → 86

prune434.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite151.0ms

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:

21.0ms	(/ (* 2.0 PI) 3.0)
36.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
25.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
66.0ms	(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

prune468.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (acos (/ (- g) h)) (* 2.0 PI))
0.0b	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
0.9b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate-+l-` `associate-/l/`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `frac-2neg` `distribute-lft-in` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

12.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
33.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
19.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
6.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
56.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
59.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
136.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify839.0ms

Counts: 77 → 77

prune246.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.9b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cbrt (pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3))
1.0b	(pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3)
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cube-mult` `unpow3` `associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
2.0ms	(cbrt (pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3))
3.0ms	(pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3)
5.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
129.0ms	(cbrt (pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3))
167.0ms	(pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3)
152.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify575.0ms

Counts: 85 → 85

prune347.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify655.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
806.0ms	8255×	body	80	nan