Details

sample129.0ms

Algorithm

intervals

Results

59.0ms	256×	body	80	valid
46.0ms	266×	body	80	nan

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
4	28
3	27
2	24
1	21
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(/ (acos (/ (- g) h)) 3)
33.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
11.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
4.0ms	(/ PI 3/2)

series209.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(/ (acos (/ (- g) h)) 3)
146.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
44.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
0.0ms	(/ PI 3/2)

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	2003
3	2003
2	757
1	323
0	172

prune557.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)
57.3b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `cos-sum` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`
1×	`associate--l-` `acos-asin` `cos-diff` `flip3--` `diff-log` `div-sub` `frac-sub` `flip--`

Counts

4 → 88

Calls

4 calls:

24.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
8.0ms	(/ PI 3/2)
7.0ms	(/ PI 3/2)
34.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series238.0ms

Counts

4 → 8

Calls

4 calls:

71.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)
166.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	2032
4	2032
3	1815
2	587
1	242
0	129

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* 1/3 (acos (/ g h))) (* 2/3 PI))
1.0b	(* 2/3 PI)
1.0b	(/ PI 3/2)
61.3b	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

rewrite71.0ms

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` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`cos-sum` `sub-neg`
1×	`cos-diff` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

14.0ms	(- (* 1/3 (acos (/ g h))) (* 2/3 PI))
10.0ms	(* 2/3 PI)
8.0ms	(/ PI 3/2)
37.0ms	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

series274.0ms

Counts

4 → 8

Calls

4 calls:

70.0ms	(- (* 1/3 (acos (/ g h))) (* 2/3 PI))
0.0ms	(* 2/3 PI)
0.0ms	(/ PI 3/2)
203.0ms	(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

simplify1.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	2000
3	2000
2	690
1	247
0	120

prune769.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
0.0b	(* (acos (/ (- g) h)) 3/2)
1.0b	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
1.0b	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

rewrite89.0ms

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` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

44.0ms	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
11.0ms	(* (acos (/ (- g) h)) 3/2)
15.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
18.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

series360.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
19.0ms	(* (acos (/ (- g) h)) 3/2)
53.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
205.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	2008
3	2008
2	828
1	275
0	120

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes358.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.6s	7915×	body	80	nan