Details

sample101.0ms

Algorithm

intervals

Results

31.0ms	41×	body	1280	valid
25.0ms	154×	body	80	valid
19.0ms	40×	body	640	valid
5.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize32.0ms

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)))
17.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite368.0ms

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*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

116.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
77.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
169.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series428.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
76.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
240.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify4.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1531
1	426
0	172

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin x) (sin (* x 0.5)))
0.1b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite163.0ms

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×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 119

Calls

3 calls:

34.0ms	(/ (sin x) (sin (* x 0.5)))
60.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
52.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(/ (sin x) (sin (* x 0.5)))
160.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
89.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify4.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1975
1	570
0	220

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite154.0ms

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×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 94

Calls

3 calls:

48.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
28.0ms	(/ (sin x) (sin (* x 0.5)))
66.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

series465.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
103.0ms	(/ (sin x) (sin (* x 0.5)))
230.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

simplify3.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5004
2	1974
1	452
0	174

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
125×	`add-sqr-sqrt`
104×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
34×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r*`
14×	`cbrt-undiv` `div-exp`
13×	`associate-r`
12×	`div-inv`
9×	`associate-/l*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 223

Calls

4 calls:

31.0ms	(/ 8.0 (/ (sin x) (sin (* x 0.5))))
18.0ms	(/ (sin (* x 0.5)) 3.0)
20.0ms	(/ (sin x) (sin (* x 0.5)))
85.0ms	(* (/ 8.0 (/ (sin x) (sin (* x 0.5)))) (/ (sin (* x 0.5)) 3.0))

series549.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(/ 8.0 (/ (sin x) (sin (* x 0.5))))
73.0ms	(/ (sin (* x 0.5)) 3.0)
141.0ms	(/ (sin x) (sin (* x 0.5)))
177.0ms	(* (/ 8.0 (/ (sin x) (sin (* x 0.5)))) (/ (sin (* x 0.5)) 3.0))

simplify6.0s

Counts

235 → 235

Iterations

Iter	Nodes
done	5006
2	3989
1	970
0	339

prune2.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.3s	1498×	body	1280	valid
1.4s	1262×	body	640	valid
715.0ms	4285×	body	80	valid
335.0ms	628×	body	320	valid
151.0ms	327×	body	160	valid