Details

sample174.0ms

Algorithm

intervals

Results

69.0ms	300×	body	80	valid
39.0ms	26×	body	1280	valid
27.0ms	28×	body	640	valid
12.0ms	16×	body	320	valid
2.0ms	5×	body	160	valid

simplify707.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	610
6	610
5	603
4	447
3	163
2	53
1	28
0	12

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* sin x) cos) (* (* sin x) cos))
0.4b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
2.9b	(* (* sin x) cos)
2.9b	(* (* sin x) cos)

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
97×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-down`
60×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow-sqr` `pow-prod-up`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow-plus` `associate-l` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `div-sub` `swap-sqr` `cos-2` `div-inv`

Counts

4 → 146

Calls

4 calls:

118.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
121.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
30.0ms	(* (* sin x) cos)
30.0ms	(* (* sin x) cos)

series255.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
81.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
33.0ms	(* (* sin x) cos)
37.0ms	(* (* sin x) cos)

simplify11.4s

Counts

158 → 158

Iterations

Iter	Nodes
3	17937
2	1878
1	453
0	149

prune1.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 1.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos (* 2 x)) (* (* sin x) cos))
0.7b	(/ 1 (* (* sin x) cos))
2.9b	(* (* sin x) cos)
2.9b	(* (* sin x) cos)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp`
12×	`cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`div-exp` `pow-prod-down`
6×	`cbrt-undiv` `times-frac` `associate-r` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 105

Calls

4 calls:

48.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
53.0ms	(/ 1 (* (* sin x) cos))
30.0ms	(* (* sin x) cos)
30.0ms	(* (* sin x) cos)

series171.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
23.0ms	(/ 1 (* (* sin x) cos))
48.0ms	(* (* sin x) cos)
45.0ms	(* (* sin x) cos)

simplify5.2s

Counts

117 → 117

Iterations

Iter	Nodes
3	6508
2	1107
1	322
0	130

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos))
0.8b	(/ (cbrt (cos (* 2 x))) (* (* sin x) cos))
2.9b	(* (* sin x) cos)
2.9b	(* (* sin x) cos)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
35×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
14×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
7×	`times-frac` `associate-/l*`
6×	`cbrt-prod` `associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

62.0ms	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos))
36.0ms	(/ (cbrt (cos (* 2 x))) (* (* sin x) cos))
30.0ms	(* (* sin x) cos)
28.0ms	(* (* sin x) cos)

series330.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos))
109.0ms	(/ (cbrt (cos (* 2 x))) (* (* sin x) cos))
45.0ms	(* (* sin x) cos)
46.0ms	(* (* sin x) cos)

simplify4.3s

Counts

114 → 114

Iterations

Iter	Nodes
3	10514
2	1409
1	334
0	131

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 1.4b

localize34.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* sin x) cos)
17.1b	(cbrt (* (* sin x) cos))
17.1b	(cbrt (* (* sin x) cos))
17.1b	(cbrt (* (* sin x) cos))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

25.0ms	(* (* sin x) cos)
10.0ms	(cbrt (* (* sin x) cos))
10.0ms	(cbrt (* (* sin x) cos))
10.0ms	(cbrt (* (* sin x) cos))

series448.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* sin x) cos)
137.0ms	(cbrt (* (* sin x) cos))
119.0ms	(cbrt (* (* sin x) cos))
160.0ms	(cbrt (* (* sin x) cos))

simplify4.0s

Counts

69 → 69

Iterations

Iter	Nodes
4	6125
3	1899
2	583
1	196
0	83

prune950.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.4b

regimes711.0ms

Accuracy

0% (0.7b remaining)

Error of 2.9b against oracle of 2.2b and baseline of 2.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	20
1	20
0	15

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	8869×	body	80	valid
1.3s	809×	body	1280	valid
900.0ms	968×	body	640	valid
474.0ms	612×	body	320	valid
115.0ms	307×	body	160	valid