Details

sample59.0ms

Algorithm

intervals

Results

26.0ms	48×	body	1280	valid
13.0ms	45×	body	640	valid
8.0ms	140×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify125.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize11.0ms

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))

rewrite53.0ms

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×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

19.0ms	(* (* (/ 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))

series177.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
80.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify795.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	163	1474
1	413	1285
2	1928	1016
done	5001	1016

prune220.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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

rewrite38.0ms

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×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
20.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (sin (* x 0.5)) (sin x))
74.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
43.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify969.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	183	1718
1	462	1555
2	2229	1292
done	5000	1292

prune263.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

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

series151.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (sin (* x 0.5)) 3.0)
43.0ms	(/ (sin (* x 0.5)) (sin x))
73.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (/ (sin (* x 0.5)) (sin x)))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	177	1661
1	437	1587
2	2056	1257
done	5000	1257

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

3.0ms	(/ (sin (* x 0.5)) (sin x))
6.0ms	(log (exp (/ (sin (* x 0.5)) (sin x))))
4.0ms	(exp (/ (sin (* x 0.5)) (sin x)))
28.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (log (exp (/ (sin (* x 0.5)) (sin x)))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (sin (* x 0.5)) (sin x))
38.0ms	(log (exp (/ (sin (* x 0.5)) (sin x))))
75.0ms	(exp (/ (sin (* x 0.5)) (sin x)))
76.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (log (exp (/ (sin (* x 0.5)) (sin x)))))

simplify746.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	197	2027
1	449	1868
2	1892	1572
done	5000	1572

prune352.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes41.0ms

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	13	18
1	16	18
done	16	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

703.0ms	1459×	body	1280	valid
365.0ms	1212×	body	640	valid
263.0ms	4339×	body	80	valid
137.0ms	649×	body	320	valid
47.0ms	341×	body	160	valid