Details

sample116.0ms

Algorithm

intervals

Results

49.0ms	252×	body	80	nan
33.0ms	256×	body	80	valid

simplify3.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

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)

rewrite117.0ms

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)
34.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
64.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms	(/ (* 2.0 PI) 3.0)

series191.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(/ (acos (/ (- g) h)) 3.0)
55.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
124.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify117.0ms

Counts: 86 → 86

prune380.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite149.0ms

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:

20.0ms	(/ (* 2.0 PI) 3.0)
25.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
68.0ms	(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)))

simplify74.0ms

Counts: 71 → 71

prune476.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
85.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
239.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
20.0ms	(/ (* 2.0 PI) 3.0)

series547.0ms

Counts

4 → 10

Calls

4 calls:

85.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
147.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
315.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify140.0ms

Counts: 97 → 97

prune480.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
100.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
223.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
24.0ms	(/ (* 2.0 PI) 3.0)

series517.0ms

Counts

4 → 10

Calls

4 calls:

51.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
145.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
320.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify116.0ms

Counts: 97 → 97

prune769.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify155.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
984.0ms	8144×	body	80	nan