Details

sample126.0ms

Algorithm

intervals

Results

59.0ms	218×	body	80	nan
50.0ms	256×	body	80	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	27
1	21
0	14

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ (acos (/ (- g) h)) 3) (* PI 2/3))
1.0b	(/ (acos (/ (- g) h)) 3)
1.0b	(cos (+ (/ (acos (/ (- g) h)) 3) (* PI 2/3)))
1.0b	(* PI 2/3)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `div-sub` `add-log-exp`
4×	`associate-+l-` `insert-posit16`
3×	`acos-asin` `acos-neg` `associate-/r` `associate-r` `associate-l` `distribute-frac-neg` `associate-/l`
2×	`cos-diff`
1×	`cbrt-undiv` `+-commutative` `cos-sum` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

10.0ms	(+ (/ (acos (/ (- g) h)) 3) (* PI 2/3))
5.0ms	(/ (acos (/ (- g) h)) 3)
25.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (* PI 2/3)))
6.0ms	(* PI 2/3)

series202.0ms

Counts

4 → 10

Calls

4 calls:

49.0ms	(+ (/ (acos (/ (- g) h)) 3) (* PI 2/3))
17.0ms	(/ (acos (/ (- g) h)) 3)
135.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (* PI 2/3)))
0.0ms	(* PI 2/3)

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	2868
2	778
1	291
0	149

prune443.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3)
1.0b	(sin (/ PI 3))
1.6b	(cos (/ PI 3))
60.3b	(cos (- (/ (acos (/ g h)) 3) (* PI 2/3)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`cos-sum`
1×	`cos-diff` `cbrt-undiv` `clear-num` `sub-neg` `sin-PI/3` `frac-2neg` `cos-PI/3` `div-exp` `div-inv`

Counts

4 → 57

Calls

4 calls:

4.0ms	(/ PI 3)
5.0ms	(sin (/ PI 3))
5.0ms	(cos (/ PI 3))
42.0ms	(cos (- (/ (acos (/ g h)) 3) (* PI 2/3)))

series125.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ PI 3)
0.0ms	(sin (/ PI 3))
0.0ms	(cos (/ PI 3))
125.0ms	(cos (- (/ (acos (/ g h)) 3) (* PI 2/3)))

simplify3.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
4	3410
3	820
2	327
1	172
0	104

prune488.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

1.0b	(* PI 2/3)
1.0b	(sin (/ PI 3))
1.6b	(cos (/ PI 3))
60.3b	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`cos-sum`
1×	`cos-diff` `sub-neg` `sin-PI/3` `cos-PI/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 48

Calls

4 calls:

9.0ms	(* PI 2/3)
5.0ms	(sin (/ PI 3))
6.0ms	(cos (/ PI 3))
29.0ms	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

series160.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(* PI 2/3)
0.0ms	(sin (/ PI 3))
0.0ms	(cos (/ PI 3))
159.0ms	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

simplify3.3s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
4	3811
3	998
2	288
1	134
0	80

prune483.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

1.0b	(sin (/ PI 3))
1.6b	(cos (/ PI 3))
59.4b	(log (exp (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))))
60.3b	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`cos-sum` `log-prod` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`exp-prod`
2×	`cos-diff` `log-div` `sub-neg` `exp-diff`
1×	`sin-PI/3` `cos-PI/3` `rem-log-exp` `exp-sum`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sin (/ PI 3))
5.0ms	(cos (/ PI 3))
40.0ms	(log (exp (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))))
35.0ms	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

series330.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(sin (/ PI 3))
0.0ms	(cos (/ PI 3))
167.0ms	(log (exp (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))))
163.0ms	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
5	1490
4	580
3	293
2	172
1	118
0	82

prune490.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	31
1	31
0	26

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.3s	8000×	body	80	valid
2.1s	7733×	body	80	nan