Details

sample94.0ms

Algorithm

intervals

Results

40.0ms	52×	body	1280	valid
17.0ms	35×	body	640	valid
12.0ms	132×	body	80	valid
8.0ms	25×	body	320	valid
3.0ms	12×	body	160	valid

simplify320.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize28.0ms

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)))
14.6b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite207.0ms

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:

88.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
20.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
91.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series280.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
76.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
126.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5004
2	1409
1	418
0	169

prune526.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite110.0ms

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:

32.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
19.0ms	(/ (sin (* x 0.5)) (sin x))
53.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
54.0ms	(/ (sin (* x 0.5)) (sin x))
139.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify1.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1857
1	490
0	181

prune605.0ms

Pruning

9 alts after pruning (9 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)))

rewrite108.0ms

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

Counts

3 → 94

Calls

3 calls:

39.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
9.0ms	(/ (sin (* x 0.5)) (sin x))
57.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
71.0ms	(/ (sin (* x 0.5)) (sin x))
104.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1812
1	471
0	176

prune527.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
61×	`add-cbrt-cube`
50×	`prod-exp`
29×	`add-sqr-sqrt`
28×	`cbrt-unprod`
23×	`*-un-lft-identity` `times-frac` `div-exp`
22×	`add-cube-cbrt`
19×	`pow1`
14×	`associate-r`
13×	`cbrt-undiv`
9×	`pow-prod-down`
7×	`associate-*r/`
6×	`rec-exp` `associate-/r*` `1-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`un-div-inv` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 144

Calls

4 calls:

106.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x)))) 3.0)
11.0ms	(/ 1 (sin x))
63.0ms	(* (* 8.0 (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
37.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x)))) 3.0)
27.0ms	(/ 1 (sin x))
135.0ms	(* (* 8.0 (sin (* x 0.5))) (* (sin (* x 0.5)) (/ 1 (sin x))))
62.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))

simplify2.0s

Counts

156 → 156

Iterations

Iter	Nodes
done	5006
2	2311
1	584
0	225

prune515.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.6s	1552×	body	1280	valid
1.2s	1208×	body	640	valid
826.0ms	637×	body	320	valid
594.0ms	4287×	body	80	valid
131.0ms	316×	body	160	valid