Details

sample239.0ms

Algorithm

intervals

Results

100.0ms	93×	body	1280	valid
45.0ms	67×	body	640	valid
44.0ms	25×	body	2560	valid
22.0ms	36×	body	80	valid
13.0ms	25×	body	320	valid
3.0ms	10×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize25.0ms

Local error

Found 2 expressions with local error:

0.8b	(- (sin (+ x eps)) (sin x))
1.9b	(sin (+ x eps))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `sin-sum` `add-log-exp`
2×	`pow1` `+-commutative` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`sub-neg` `flip3--` `diff-log` `diff-sin` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 28

Calls

2 calls:

82.0ms	(- (sin (+ x eps)) (sin x))
21.0ms	(sin (+ x eps))

series70.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (sin (+ x eps)) (sin x))
22.0ms	(sin (+ x eps))

simplify3.2s

Counts

34 → 34

Iterations

Iter	Nodes
done	5007
5	4397
4	1670
3	740
2	308
1	138
0	68

prune157.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))
0.2b	(* (cos eps) (sin x))
0.2b	(* (sin eps) (cos x))
2.5b	(- (* (cos eps) (sin x)) (sin x))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
12×	`associate-l`
11×	`add-log-exp`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-out` `distribute-lft-out--`
4×	`distribute-rgt-out--` `insert-posit16`
3×	`sin-cos-mult` `unswap-sqr`
2×	`associate-+r+` `sum-log` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `frac-add` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

178.0ms	(+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))
13.0ms	(* (cos eps) (sin x))
16.0ms	(* (sin eps) (cos x))
59.0ms	(- (* (cos eps) (sin x)) (sin x))

series334.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))
55.0ms	(* (cos eps) (sin x))
59.0ms	(* (sin eps) (cos x))
74.0ms	(- (* (cos eps) (sin x)) (sin x))

simplify2.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
3	4355
2	1104
1	376
0	150

prune525.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos eps) (sin x))
0.2b	(* (sin eps) (cos x))
2.5b	(- (* (cos eps) (sin x)) (sin x))
3.0b	(log (exp (- (* (cos eps) (sin x)) (sin x))))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`associate-r` `log-pow`
11×	`exp-prod`
9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube` `distribute-rgt-out--` `associate-l`
6×	`add-log-exp`
5×	`log-prod`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `sin-cos-mult` `flip--`

Counts

4 → 88

Calls

4 calls:

25.0ms	(* (cos eps) (sin x))
25.0ms	(* (sin eps) (cos x))
90.0ms	(- (* (cos eps) (sin x)) (sin x))
149.0ms	(log (exp (- (* (cos eps) (sin x)) (sin x))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cos eps) (sin x))
46.0ms	(* (sin eps) (cos x))
74.0ms	(- (* (cos eps) (sin x)) (sin x))
89.0ms	(log (exp (- (* (cos eps) (sin x)) (sin x))))

simplify1.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	2592
2	866
1	331
0	152

prune641.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sin eps) (cos x)) (* (- (cos eps) 1) (sin x)))
0.2b	(* (- (cos eps) 1) (sin x))
0.2b	(* (sin eps) (cos x))
2.5b	(- (cos eps) 1)

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
17×	`associate-l`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `distribute-lft-out`
4×	`associate-*l/` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `sin-cos-mult` `flip--`
2×	`difference-of-sqr-1` `pow-prod-down` `frac-add` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 82

Calls

4 calls:

109.0ms	(+ (* (sin eps) (cos x)) (* (- (cos eps) 1) (sin x)))
35.0ms	(* (- (cos eps) 1) (sin x))
25.0ms	(* (sin eps) (cos x))
14.0ms	(- (cos eps) 1)

series340.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(+ (* (sin eps) (cos x)) (* (- (cos eps) 1) (sin x)))
74.0ms	(* (- (cos eps) 1) (sin x))
58.0ms	(* (sin eps) (cos x))
34.0ms	(- (cos eps) 1)

simplify2.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	3879
2	1086
1	384
0	154

prune412.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

regimes192.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
3	32
2	31
1	25
0	14

end0.0ms

sample7.9s

Algorithm

intervals

Results

4.1s	3263×	body	1280	valid
1.7s	1816×	body	640	valid
1.1s	610×	body	2560	valid
419.0ms	770×	body	320	valid
191.0ms	1199×	body	80	valid
140.0ms	342×	body	160	valid