Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	48×	body	1280	valid
15.0ms	40×	body	640	valid
10.0ms	133×	body	80	valid
6.0ms	22×	body	320	valid
2.0ms	13×	body	160	valid

simplify296.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	89	16
4	168	16
5	257	16
6	273	16
done	273	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite210.0ms

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:

78.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
87.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series240.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
49.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
122.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: 2 (260.0ms)

Iter	Nodes	Cost
0	169	1554
1	405	1349
2	1480	1080
done	5000	1080

prune276.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
0.2b	(/ (sin x) (sin (* 0.5 x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

38.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
12.0ms	(/ (sin x) (sin (* 0.5 x)))
31.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
68.0ms	(/ (sin x) (sin (* 0.5 x)))
43.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.5s

Counts

125 → 125

Iterations

Useful iterations: 2 (441.0ms)

Iter	Nodes	Cost
0	222	2116
1	527	1956
2	1843	1662
done	5000	1662

prune412.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin (* 0.5 x)) 8.0)
0.1b	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
0.2b	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* 0.5 x))))
0.2b	(/ (sin x) (sin (* 0.5 x)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
102×	`add-sqr-sqrt`
100×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log` `add-cbrt-cube`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 209

Calls

4 calls:

17.0ms	(* (sin (* 0.5 x)) 8.0)
18.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
36.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* 0.5 x))))
18.0ms	(/ (sin x) (sin (* 0.5 x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sin (* 0.5 x)) 8.0)
52.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
106.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* 0.5 x))))
48.0ms	(/ (sin x) (sin (* 0.5 x)))

simplify1.8s

Counts

221 → 221

Iterations

Useful iterations: 2 (751.0ms)

Iter	Nodes	Cost
0	371	4976
1	997	4755
2	3834	4344
done	5000	4344

prune887.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin (* 0.5 x)) 8.0)
0.1b	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
0.2b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* 0.5 x)) (sin x)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
32×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`associate-r`
10×	`cbrt-undiv` `div-exp` `associate-l` `prod-exp` `cbrt-unprod`
8×	`pow1`
6×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`frac-times` `associate-r/` `associate-l/`

Counts

4 → 120

Calls

4 calls:

17.0ms	(* (sin (* 0.5 x)) 8.0)
25.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
24.0ms	(/ (sin (* 0.5 x)) (sin x))
55.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (sin (* 0.5 x)) 8.0)
57.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
66.0ms	(/ (sin (* 0.5 x)) (sin x))
95.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify1.9s

Counts

132 → 132

Iterations

Useful iterations: 2 (407.0ms)

Iter	Nodes	Cost
0	201	2015
1	484	1925
2	1840	1551
done	5000	1551

prune363.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	13	18
1	16	18
done	16	16

end0.0ms

sample2.2s

Algorithm

intervals

Results

907.0ms	1533×	body	1280	valid
495.0ms	1249×	body	640	valid
372.0ms	4322×	body	80	valid
158.0ms	597×	body	320	valid
54.0ms	299×	body	160	valid