Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	45×	body	1280	valid
22.0ms	42×	body	640	valid
15.0ms	133×	body	80	valid
10.0ms	26×	body	320	valid
3.0ms	10×	body	160	valid

simplify269.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize22.0ms

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)))
16.2b	(/ (* (* (/ 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×	`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)))
21.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
67.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series249.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
47.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
131.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2504
1	424
0	169

prune449.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (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)))

rewrite78.0ms

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:

22.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
15.0ms	(/ (sin (* x 0.5)) (sin x))
36.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
48.0ms	(/ (sin (* x 0.5)) (sin x))
117.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify2.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	3384
1	499
0	181

prune640.0ms

Pruning

9 alts after pruning (8 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))
0.2b	(* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x)))
0.3b	(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
51×	`prod-exp`
42×	`add-sqr-sqrt`
34×	`times-frac`
27×	`*-un-lft-identity` `cbrt-unprod`
25×	`div-exp` `add-cube-cbrt`
17×	`pow1`
14×	`associate-r` `associate-l`
13×	`cbrt-undiv`
9×	`pow-prod-down`
6×	`rec-exp` `1-exp` `unswap-sqr`
5×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 134

Calls

3 calls:

23.0ms	(/ (sin (* x 0.5)) (sin x))
48.0ms	(* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x)))
67.0ms	(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x))))

series245.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (sin (* x 0.5)) (sin x))
89.0ms	(* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x)))
104.0ms	(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x))))

simplify2.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	4309
1	679
0	229

prune603.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 1 3.0) (cbrt (sin x)))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
84×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
51×	`cbrt-prod`
13×	`add-exp-log` `associate-/l*`
8×	`div-inv`
7×	`add-cbrt-cube`
6×	`associate-/r*` `div-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`

Counts

4 → 155

Calls

4 calls:

13.0ms	(/ (/ 1 3.0) (cbrt (sin x)))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))

series576.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (/ 1 3.0) (cbrt (sin x)))
144.0ms	(cbrt (sin x))
125.0ms	(cbrt (sin x))
137.0ms	(cbrt (sin x))

simplify1.3s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	2033
1	557
0	233

prune889.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1467×	body	1280	valid
1.3s	1247×	body	640	valid
606.0ms	4349×	body	80	valid
320.0ms	626×	body	320	valid
83.0ms	311×	body	160	valid