Details

sample105.0ms

Algorithm

intervals

Results

40.0ms	47×	body	1280	valid
23.0ms	40×	body	640	valid
15.0ms	138×	body	80	valid
8.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid

simplify705.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	324
1	20	324
2	43	324
3	90	324
4	171	324
5	275	324
6	313	324
done	313	324

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize17.0ms

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)))
14.3b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
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×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 79

Calls

3 calls:

50.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
21.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
76.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series196.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
44.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
79.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	163	29646
1	413	27013
2	2720	26652
done	5000	26612

prune427.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
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×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 110

Calls

3 calls:

25.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
9.0ms	(/ (sin x) (sin (* x 0.5)))
23.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
40.0ms	(/ (sin x) (sin (* x 0.5)))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.0s

Counts

119 → 119

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	211	45695
1	560	42827
2	3471	41980
done	5000	41180

prune536.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

37.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
14.0ms	(/ (sin x) (sin (* x 0.5)))
33.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

series251.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
65.0ms	(/ (sin x) (sin (* x 0.5)))
100.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

simplify2.3s

Counts

94 → 94

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	165	35466
1	438	32805
2	2743	32284
done	5000	31444

prune496.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
116×	`add-sqr-sqrt`
95×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-r`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-l`
11×	`div-inv`
6×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
5×	`pow1`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 184

Calls

3 calls:

26.0ms	(/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5))))
14.0ms	(/ (sin x) (sin (* x 0.5)))
75.0ms	(* (/ 8.0 3.0) (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))))

series228.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5))))
43.0ms	(/ (sin x) (sin (* x 0.5)))
110.0ms	(* (/ 8.0 3.0) (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))))

simplify1.2s

Counts

193 → 193

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	300	87635
1	931	82877
done	5000	81215

prune1.1s

Pruning

8 alts after pruning (6 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

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	324
1	14	324
done	14	324

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s	1464×	body	1280	valid
1.0s	1307×	body	640	valid
425.0ms	4289×	body	80	valid
264.0ms	598×	body	320	valid
120.0ms	342×	body	160	valid