Details

sample105.0ms

Algorithm

intervals

Results

38.0ms	49×	body	1280	valid
24.0ms	44×	body	640	valid
15.0ms	124×	body	80	valid
10.0ms	26×	body	320	valid
4.0ms	13×	body	160	valid

simplify316.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize26.0ms

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)))
15.2b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite151.0ms

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:

50.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
31.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
66.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series204.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
52.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
89.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2720
1	413
0	163

prune438.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
28×	`times-frac`
26×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 98

Calls

3 calls:

11.0ms	(/ (sin (* x 0.5)) (sin x))
60.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
27.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (sin (* x 0.5)) (sin x))
105.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
53.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	3184
1	492
0	183

prune513.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

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×	`pow-prod-down` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

39.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
11.0ms	(/ (sin (* x 0.5)) (sin x))
45.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
53.0ms	(/ (sin (* x 0.5)) (sin x))
101.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

simplify2.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	3426
1	464
0	170

prune454.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
0.2b	(* (sin (* x 0.5)) (/ 1 (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
52×	`add-cbrt-cube`
43×	`prod-exp`
40×	`add-sqr-sqrt`
30×	`times-frac`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`cbrt-unprod`
21×	`pow1`
17×	`associate-r` `associate-l`
16×	`div-exp`
10×	`pow-prod-down`
9×	`cbrt-undiv`
5×	`rec-exp` `1-exp` `associate-l/` `associate-r/` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `un-div-inv` `-commutative` `div-inv` `associate-/l*`
2×	`frac-times`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 142

Calls

4 calls:

5.0ms	(/ 1 (sin x))
86.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
30.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (sin x))
95.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
49.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))
38.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify770.0ms

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
1	613
0	228

prune552.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes82.0ms

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	14
1	14
0	11

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	1455×	body	1280	valid
847.0ms	1234×	body	640	valid
581.0ms	604×	body	320	valid
563.0ms	4394×	body	80	valid
71.0ms	313×	body	160	valid