Details

sample63.0ms

Algorithm

intervals

Results

27.0ms	48×	body	1280	valid
14.0ms	45×	body	640	valid
8.0ms	140×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify132.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	42	16
3	90	16
4	168	16
5	246	16
6	264	16
done	264	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize12.0ms

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)))
14.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite55.0ms

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:

21.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
21.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series202.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
47.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
94.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify816.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	169	1554
1	423	1349
2	1866	1080
done	5000	1080

prune292.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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` `associate-r*`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down`
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-*l/` `clear-num`

Counts

3 → 104

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
24.0ms	(* (* (sin (* 0.5 x)) (/ 8.0 3.0)) (/ (sin (* x 0.5)) (sin x)))
11.0ms	(* (sin (* 0.5 x)) (/ 8.0 3.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (sin (* x 0.5)) (sin x))
95.0ms	(* (* (sin (* 0.5 x)) (/ 8.0 3.0)) (/ (sin (* x 0.5)) (sin x)))
44.0ms	(* (sin (* 0.5 x)) (/ 8.0 3.0))

simplify1.0s

Counts

113 → 113

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	196	1801
1	504	1699
2	2338	1357
done	5001	1357

prune364.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:

9.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
4.0ms	(/ (sin (* x 0.5)) (sin x))
16.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* x 0.5)) (sin x)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
53.0ms	(/ (sin (* x 0.5)) (sin x))
90.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify881.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	184	1811
1	484	1731
2	2148	1375
done	5001	1375

prune360.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(log (exp (/ (sin (* x 0.5)) (sin x))))
0.2b	(exp (/ (sin (* x 0.5)) (sin x)))
0.2b	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (log (exp (/ (sin (* x 0.5)) (sin x)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `exp-prod` `*-un-lft-identity` `times-frac`
28×	`log-pow`
17×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube`
9×	`log-prod`
8×	`pow1`
7×	`associate-l`
5×	`div-inv` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r` `associate-/l`
1×	`frac-2neg` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `rem-exp-log` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
6.0ms	(log (exp (/ (sin (* x 0.5)) (sin x))))
5.0ms	(exp (/ (sin (* x 0.5)) (sin x)))
31.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (log (exp (/ (sin (* x 0.5)) (sin x)))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (sin (* x 0.5)) (sin x))
53.0ms	(log (exp (/ (sin (* x 0.5)) (sin x))))
96.0ms	(exp (/ (sin (* x 0.5)) (sin x)))
97.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (log (exp (/ (sin (* x 0.5)) (sin x)))))

simplify744.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	221	2235
1	486	2043
2	1920	1747
done	5001	1747

prune505.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	17	18
done	17	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

708.0ms	1459×	body	1280	valid
373.0ms	1212×	body	640	valid
275.0ms	4339×	body	80	valid
139.0ms	649×	body	320	valid
49.0ms	341×	body	160	valid