Details

sample108.0ms

Algorithm

intervals

Results

39.0ms	46×	body	1280	valid
26.0ms	44×	body	640	valid
16.0ms	132×	body	80	valid
9.0ms	20×	body	320	valid
4.0ms	14×	body	160	valid

simplify380.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize13.0ms

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)))
15.1b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite221.0ms

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:

77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
26.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
115.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series249.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
64.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
124.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.6s

Counts

88 → 88

Iterations

Useful iterations: 2 (316.0ms)

Iter	Nodes	Cost
0	163	1474
1	395	1285
2	1428	1016
done	5000	1016

prune332.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

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

Counts

3 → 110

Calls

3 calls:

18.0ms	(/ (sin x) (sin (* x 0.5)))
64.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
43.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (sin x) (sin (* x 0.5)))
117.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
45.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.5s

Counts

119 → 119

Iterations

Useful iterations: 2 (400.0ms)

Iter	Nodes	Cost
0	211	2048
1	502	1898
2	1826	1604
done	5000	1604

prune457.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 105

Calls

3 calls:

25.0ms	(/ (sin (* 0.5 x)) 3.0)
31.0ms	(/ (sin x) (sin (* x 0.5)))
38.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* x 0.5))))

series263.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (sin (* 0.5 x)) 3.0)
76.0ms	(/ (sin x) (sin (* x 0.5)))
123.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* x 0.5))))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	214	1991
1	494	1909
2	1730	1571
done	5001	1569

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
0.3b	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
0.4b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
20×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`associate-r`
3×	`associate-l/` `associate-/r` `div-inv` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 85

Calls

3 calls:

50.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
92.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
46.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
103.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
109.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	169	1513
1	411	1387
2	1352	1120
done	5000	1120

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16
done	14	16

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.7s	1496×	body	1280	valid
1.1s	1266×	body	640	valid
795.0ms	4284×	body	80	valid
671.0ms	623×	body	320	valid
90.0ms	331×	body	160	valid