Details

sample142.0ms

Algorithm

intervals

Results

70.0ms	267×	body	80	nan
49.0ms	256×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	28
4	28
3	27
2	24
1	21
0	14

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

5.0ms	(/ (acos (/ (- g) h)) 3)
10.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
25.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
4.0ms	(/ PI 3/2)

series228.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(/ (acos (/ (- g) h)) 3)
55.0ms	(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
154.0ms	(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.0ms	(/ PI 3/2)

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
4	2778
3	1289
2	624
1	317
0	172

prune574.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

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)
56.2b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite50.0ms

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:

25.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
4.0ms	(/ PI 3/2)
4.0ms	(/ PI 3/2)
16.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series212.0ms

Counts

4 → 8

Calls

4 calls:

66.0ms	(- (/ (acos (/ g h)) 3) (/ PI 3/2))
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)
146.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.5s

Counts

96 → 96

Iterations

Iter	Nodes
5	4181
4	1986
3	877
2	447
1	235
0	129

prune687.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)
1.0b	(/ PI 3/2)
56.2b	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(/ PI 3/2)
4.0ms	(/ PI 3/2)
4.0ms	(/ PI 3/2)
17.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

series158.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)
0.0ms	(/ PI 3/2)
157.0ms	(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))

simplify2.7s

Counts

101 → 101

Iterations

Iter	Nodes
8	3565
7	1857
6	1402
5	1209
4	798
3	371
2	225
1	128
0	83

prune900.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

5.0ms	(* (acos (/ (- g) h)) 3/2)
33.0ms	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
10.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
9.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

series263.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (acos (/ (- g) h)) 3/2)
57.0ms	(/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2)
32.0ms	(+ (* (acos (/ (- g) h)) 3/2) (* 3 PI))
161.0ms	(cos (/ (+ (* (acos (/ (- g) h)) 3/2) (* 3 PI)) 9/2))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
3	2112
2	748
1	273
0	120

prune488.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	29
1	29
0	24

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	8167×	body	80	nan
1.6s	8000×	body	80	valid