Details

sample155.0ms

Algorithm

intervals

Results

55.0ms	41×	body	1280	valid
37.0ms	35×	body	640	valid
30.0ms	145×	body	80	valid
20.0ms	27×	body	320	valid
3.0ms	8×	body	160	valid

simplify283.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

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)))
14.5b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite204.0ms

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

Counts

3 → 82

Calls

3 calls:

92.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series260.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
65.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
113.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2762
1	416
0	166

prune478.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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)))

rewrite102.0ms

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

Counts

3 → 113

Calls

3 calls:

61.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
17.0ms	(/ (sin x) (sin (* x 0.5)))
20.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
73.0ms	(/ (sin x) (sin (* x 0.5)))
66.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.3s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	3498
1	569
0	214

prune663.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
97×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
3×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 186

Calls

3 calls:

22.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
22.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
11.0ms	(/ (sin x) (sin (* x 0.5)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
85.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
51.0ms	(/ (sin x) (sin (* x 0.5)))

simplify1.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
1	1103
0	347

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
0.4b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
23×	`add-sqr-sqrt`
20×	`associate-l`
16×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`associate-r`
3×	`associate-/r` `associate-l/` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `*-commutative`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

49.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
44.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
34.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
78.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
44.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	2693
1	434
0	172

prune439.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	1507×	body	1280	valid
1.4s	1337×	body	640	valid
1.2s	4237×	body	80	valid
362.0ms	601×	body	320	valid
122.0ms	318×	body	160	valid