Details

sample105.0ms

Algorithm

intervals

Results

37.0ms	256×	body	80	valid
28.0ms	228×	body	80	nan

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	29
4	29
3	28
2	25
1	21
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

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)

rewrite92.0ms

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-` `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 → 76

Calls

4 calls:

6.0ms	(/ (acos (/ (- g) h)) 3.0)
33.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
36.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
15.0ms	(/ (* 2.0 PI) 3.0)

series193.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(/ (acos (/ (- g) h)) 3.0)
46.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
133.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1227
1	332
0	159

prune577.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 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)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(/ PI 3.0)
22.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
17.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
44.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ 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)))

simplify1.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2337
2	580
1	217
0	107

prune782.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

16.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
25.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
6.0ms	(/ 1 (sqrt 3.0))
11.0ms	(/ (* 2.0 PI) 3.0)

series458.0ms

Counts

4 → 8

Calls

4 calls:

166.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
292.0ms	(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)

simplify1.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	2081
1	391
0	175

prune564.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
36×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
24×	`sqrt-prod`
17×	`add-exp-log`
15×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/l*`
6×	`div-exp` `pow-flip`
4×	`cbrt-undiv` `add-log-exp`
3×	`clear-num` `frac-2neg` `div-inv`
2×	`rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `inv-pow`
1×	`cos-sum` `prod-exp` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

50.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
10.0ms	(/ 1 (sqrt 3.0))
11.0ms	(/ 1 (sqrt 3.0))
23.0ms	(/ (* 2.0 PI) 3.0)

series326.0ms

Counts

4 → 6

Calls

4 calls:

326.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ 1 (sqrt 3.0)))) (/ (acos (/ (- g) h)) (sqrt 3.0)))))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1321
1	279
0	144

prune660.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
856.0ms	8067×	body	80	nan