Details

sample70.0ms

Algorithm

intervals

Results

30.0ms	256×	body	80	valid
20.0ms	312×	body	80	nan

simplify22.0ms

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

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)

rewrite88.0ms

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:

5.0ms	(/ (acos (/ (- g) h)) 3.0)
16.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
40.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
26.0ms	(/ (* 2.0 PI) 3.0)

series194.0ms

Counts

4 → 10

Calls

4 calls:

16.0ms	(/ (acos (/ (- g) h)) 3.0)
40.0ms	(+ (/ (* 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)

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1227
1	332
0	159

prune546.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

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)
16.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
16.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
51.0ms	(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)))

simplify1.9s

Counts

77 → 77

Iterations

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

prune697.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

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`
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 → 78

Calls

4 calls:

91.0ms	(cos (- (+ (/ PI 3.0) (* (/ PI 3.0) 2.0)) (/ (acos (/ g h)) 3.0)))
13.0ms	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
11.0ms	(/ PI 3.0)
7.0ms	(/ PI 3.0)

series122.0ms

Counts

4 → 6

Calls

4 calls:

122.0ms	(cos (- (+ (/ PI 3.0) (* (/ PI 3.0) 2.0)) (/ (acos (/ g h)) 3.0)))
0.0ms	(+ (/ PI 3.0) (* (/ PI 3.0) 2.0))
0.0ms	(/ PI 3.0)
0.0ms	(/ PI 3.0)

simplify2.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
3	3334
2	688
1	248
0	126

prune477.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3.0)
1.0b	(/ PI 3.0)
1.0b	(/ (/ PI 2) 3.0)
1.0b	(/ (/ PI 2) 3.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
32×	`associate-/l*`
18×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*` `div-inv`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 194

Calls

4 calls:

6.0ms	(/ PI 3.0)
5.0ms	(/ PI 3.0)
9.0ms	(/ (/ PI 2) 3.0)
13.0ms	(/ (/ PI 2) 3.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ PI 3.0)
0.0ms	(/ PI 3.0)
0.0ms	(/ (/ PI 2) 3.0)
0.0ms	(/ (/ PI 2) 3.0)

simplify1.1s

Counts

198 → 198

Iterations

Iter	Nodes
done	5000
2	1594
1	421
0	188

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
926.0ms	7961×	body	80	nan