Details

sample140.0ms

Algorithm

intervals

Results

69.0ms	45×	body	1280	valid
22.0ms	144×	body	80	valid
18.0ms	29×	body	640	valid
13.0ms	26×	body	320	valid
4.0ms	12×	body	160	valid

simplify329.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	275
7	275
6	274
5	226
4	134
3	71
2	35
1	20
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize27.0ms

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)))
15.4b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite167.0ms

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×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 85

Calls

3 calls:

62.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
75.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
51.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
121.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5004
2	1409
1	418
0	169

prune496.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

16.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
9.0ms	(/ (sin (* x 0.5)) (sin x))
41.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
68.0ms	(/ (sin (* x 0.5)) (sin x))
133.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify2.1s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1857
1	490
0	181

prune681.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-cbrt-cube` `add-exp-log`
21×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
12×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

3 → 94

Calls

3 calls:

9.0ms	(/ (sin (* x 0.5)) (sin x))
48.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
42.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)

series309.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (sin (* x 0.5)) (sin x))
129.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
116.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1898
1	468
0	176

prune583.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.1b	(* (* (/ (sin (* 0.5 x)) (sin x)) (sin (* 0.5 x))) 2.6666666666666665)
0.1b	(* (/ (sin (* 0.5 x)) (sin x)) (sin (* 0.5 x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac` `add-cbrt-cube` `add-exp-log`
14×	`associate-l`
10×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg`

Counts

3 → 86

Calls

3 calls:

20.0ms	(/ (sin (* 0.5 x)) (sin x))
45.0ms	(* (* (/ (sin (* 0.5 x)) (sin x)) (sin (* 0.5 x))) 2.6666666666666665)
35.0ms	(* (/ (sin (* 0.5 x)) (sin x)) (sin (* 0.5 x)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (sin (* 0.5 x)) (sin x))
100.0ms	(* (* (/ (sin (* 0.5 x)) (sin x)) (sin (* 0.5 x))) 2.6666666666666665)
89.0ms	(* (/ (sin (* 0.5 x)) (sin x)) (sin (* 0.5 x)))

simplify3.9s

Counts

95 → 95

Iterations

Iter	Nodes
done	5005
3	4488
2	1367
1	355
0	145

prune421.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes95.0ms

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

sample4.6s

Algorithm

intervals

Results

1.8s	1528×	body	1280	valid
931.0ms	1196×	body	640	valid
876.0ms	654×	body	320	valid
678.0ms	4292×	body	80	valid
100.0ms	330×	body	160	valid