Details

sample101.0ms

Algorithm

intervals

Results

37.0ms	47×	body	640	valid
27.0ms	44×	body	1280	valid
14.0ms	137×	body	80	valid
6.0ms	19×	body	320	valid
2.0ms	9×	body	160	valid

simplify303.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	93	16
4	173	16
5	277	16
6	314	16
done	314	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
13.7b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 85

Calls

3 calls:

97.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
38.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
99.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series264.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
52.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
125.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	169	1554
1	424	1349
2	2490	1130
done	5002	1088

prune463.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 104

Calls

3 calls:

26.0ms	(/ (sin (* x 0.5)) (sin x))
106.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (sin (* x 0.5)) (sin x))
123.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
62.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify3.4s

Counts

113 → 113

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	189	1786
1	499	1739
2	3314	1390
done	5001	1349

prune549.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (* 8.0 (sin (* 0.5 x))) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-/r*`
5×	`pow1`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 100

Calls

3 calls:

34.0ms	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
14.0ms	(/ (sin (* x 0.5)) (sin x))
51.0ms	(* (/ (* 8.0 (sin (* 0.5 x))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
86.0ms	(/ (sin (* x 0.5)) (sin x))
134.0ms	(* (/ (* 8.0 (sin (* 0.5 x))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify2.8s

Counts

109 → 109

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	184	1823
1	502	1744
2	3589	1437
done	5000	1378

prune514.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
0.2b	(* (sin (* x 0.5)) (/ 1 (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
52×	`add-cbrt-cube`
43×	`prod-exp`
40×	`add-sqr-sqrt`
30×	`times-frac`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`cbrt-unprod`
21×	`pow1`
17×	`associate-r` `associate-l`
16×	`div-exp`
10×	`pow-prod-down`
9×	`cbrt-undiv`
5×	`rec-exp` `1-exp` `associate-r/` `associate-l/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `un-div-inv` `-commutative` `div-inv` `associate-/l*`
2×	`frac-times`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 150

Calls

4 calls:

7.0ms	(/ 1 (sin x))
163.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
52.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))
44.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 1 (sin x))
126.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
61.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))
66.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify560.0ms

Counts

162 → 162

Iterations

Useful iterations: done (551.0ms)

Iter	Nodes	Cost
0	236	2462
1	626	2248
done	5001	1756

prune615.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
2	16	16
done	16	16

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1527×	body	1280	valid
1.2s	4310×	body	80	valid
869.0ms	1235×	body	640	valid
330.0ms	611×	body	320	valid
77.0ms	317×	body	160	valid