Details

sample137.0ms

Algorithm

intervals

Results

57.0ms	51×	body	1280	valid
23.0ms	139×	body	80	valid
23.0ms	30×	body	640	valid
16.0ms	27×	body	320	valid
4.0ms	9×	body	160	valid

simplify298.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

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)))
15.3b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite176.0ms

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:

74.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
32.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
68.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series215.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
45.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
101.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify810.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2003
2	1537
1	423
0	172

prune445.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)))

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` `insert-posit16` `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 → 103

Calls

3 calls:

28.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
18.0ms	(/ (sin (* x 0.5)) (sin x))
30.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
56.0ms	(/ (sin (* x 0.5)) (sin x))
104.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify918.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
2	1895
1	493
0	184

prune553.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

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

Counts

3 → 97

Calls

3 calls:

51.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
19.0ms	(/ (sin (* x 0.5)) (sin x))
55.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
42.0ms	(/ (sin (* x 0.5)) (sin x))
95.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

simplify904.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	2006
2	1837
1	474
0	179

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
123×	`add-exp-log`
91×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
61×	`add-cbrt-cube`
51×	`div-exp`
44×	`associate-r`
42×	`prod-exp`
23×	`cbrt-undiv`
19×	`associate-/r*`
18×	`cbrt-unprod`
11×	`div-inv`
10×	`pow1` `rec-exp` `1-exp`
7×	`associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`associate-l` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 233

Calls

4 calls:

48.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ 1 (/ (sin x) (sin (* x 0.5))))) 3.0)
12.0ms	(/ 1 (/ (sin x) (sin (* x 0.5))))
11.0ms	(/ (sin x) (sin (* x 0.5)))
51.0ms	(* (* 8.0 (sin (* x 0.5))) (/ 1 (/ (sin x) (sin (* x 0.5)))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ 1 (/ (sin x) (sin (* x 0.5))))) 3.0)
48.0ms	(/ 1 (/ (sin x) (sin (* x 0.5))))
58.0ms	(/ (sin x) (sin (* x 0.5)))
103.0ms	(* (* 8.0 (sin (* x 0.5))) (/ 1 (/ (sin x) (sin (* x 0.5)))))

simplify714.0ms

Counts

245 → 245

Iterations

Iter	Nodes
done	2002
1	979
0	339

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes67.0ms

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

sample5.9s

Algorithm

intervals

Results

2.7s	1531×	body	1280	valid
1.5s	1238×	body	640	valid
871.0ms	4276×	body	80	valid
523.0ms	661×	body	320	valid
186.0ms	294×	body	160	valid