Details

sample171.0ms

Algorithm

intervals

Results

89.0ms	114×	body	1280	valid
31.0ms	65×	body	640	valid
25.0ms	17×	body	2560	valid
6.0ms	20×	body	320	valid
3.0ms	29×	body	80	valid
2.0ms	11×	body	160	valid

simplify14.0ms

Counts: 1 → 1

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.0b

localize22.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (sin (+ x eps)) (sin x))
2.7b	(sin (+ x eps))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

86.0ms	(- (sin (+ x eps)) (sin x))
18.0ms	(sin (+ x eps))

series66.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (sin (+ x eps)) (sin x))
21.0ms	(sin (+ x eps))

simplify1.3s

Counts: 30 → 30

prune145.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
0.1b	(* (sin x) (cos eps))
0.2b	(* (cos x) (sin eps))
2.8b	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

17.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
19.0ms	(* (sin x) (cos eps))
13.0ms	(* (cos x) (sin eps))
86.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series389.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
51.0ms	(* (sin x) (cos eps))
67.0ms	(* (cos x) (sin eps))
154.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify2.2s

Counts: 76 → 76

prune389.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.2b	(* (cos x) (sin eps))
0.2b	(* (sin x) (- (cos eps) 1))
1.1b	(- (cos eps) 1)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`associate-r`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
6×	`associate-l`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `difference-of-squares`
2×	`flip3--` `difference-of-sqr-1` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 77

Calls

4 calls:

31.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
24.0ms	(* (cos x) (sin eps))
35.0ms	(* (sin x) (- (cos eps) 1))
18.0ms	(- (cos eps) 1)

series297.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
62.0ms	(* (cos x) (sin eps))
50.0ms	(* (sin x) (- (cos eps) 1))
21.0ms	(- (cos eps) 1)

simplify2.4s

Counts: 89 → 89

prune434.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (* (sin x) (cos eps)) (- (sin x))) (* (cos x) (sin eps)))
0.1b	(* (sin x) (cos eps))
0.2b	(* (cos x) (sin eps))
1.2b	(+ (* (sin x) (cos eps)) (- (sin x)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`sum-log`
6×	`associate-r` `associate-l`
3×	`associate-+l-`
2×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `sin-cos-mult`

Counts

4 → 69

Calls

4 calls:

81.0ms	(+ (+ (* (sin x) (cos eps)) (- (sin x))) (* (cos x) (sin eps)))
24.0ms	(* (sin x) (cos eps))
13.0ms	(* (cos x) (sin eps))
27.0ms	(+ (* (sin x) (cos eps)) (- (sin x)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (+ (* (sin x) (cos eps)) (- (sin x))) (* (cos x) (sin eps)))
78.0ms	(* (sin x) (cos eps))
85.0ms	(* (cos x) (sin eps))
72.0ms	(+ (* (sin x) (cos eps)) (- (sin x)))

simplify735.0ms

Counts: 81 → 81

prune352.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

-4313.3% (21.9b remaining)

Error of 22.0b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0s

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	3349×	body	1280	valid
1.1s	631×	body	2560	valid
850.0ms	1810×	body	640	valid
324.0ms	772×	body	320	valid
86.0ms	1110×	body	80	valid
54.0ms	328×	body	160	valid