Details

sample103.0ms

Algorithm

intervals

Results

41.0ms	47×	body	1280	valid
22.0ms	40×	body	640	valid
15.0ms	138×	body	80	valid
8.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid

simplify281.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize34.0ms

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))

rewrite153.0ms

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:

59.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
30.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
61.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series204.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
45.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
92.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2720
1	413
0	163

prune469.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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)))

rewrite75.0ms

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:

33.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
9.0ms	(/ (sin x) (sin (* x 0.5)))
27.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
50.0ms	(/ (sin x) (sin (* x 0.5)))
56.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	3471
1	560
0	211

prune523.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

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))

rewrite57.0ms

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:

20.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
9.0ms	(/ (sin x) (sin (* x 0.5)))
24.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
46.0ms	(/ (sin x) (sin (* x 0.5)))
78.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

simplify2.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2743
1	438
0	165

prune519.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)))))

rewrite114.0ms

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:

33.0ms	(/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5))))
13.0ms	(/ (sin x) (sin (* x 0.5)))
53.0ms	(* (/ 8.0 3.0) (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))))

series267.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5))))
48.0ms	(/ (sin x) (sin (* x 0.5)))
116.0ms	(* (/ 8.0 3.0) (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))))

simplify1.1s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
1	931
0	300

prune947.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.9s	1464×	body	1280	valid
1.3s	1307×	body	640	valid
599.0ms	4289×	body	80	valid
317.0ms	598×	body	320	valid
90.0ms	342×	body	160	valid