Details

sample109.0ms

Algorithm

intervals

Results

53.0ms	109×	body	1280	valid
19.0ms	20×	body	2560	valid
16.0ms	56×	body	640	valid
5.0ms	26×	body	320	valid
2.0ms	36×	body	80	valid
1.0ms	9×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize12.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (sin (+ x eps)) (sin x))
3.7b	(sin (+ x eps))

rewrite58.0ms

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:

48.0ms	(- (sin (+ x eps)) (sin x))
10.0ms	(sin (+ x eps))

series62.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (sin (+ x eps)) (sin x))
20.0ms	(sin (+ x eps))

simplify131.0ms

Counts: 30 → 30

prune83.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 15.4b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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:

15.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
11.0ms	(* (cos x) (sin eps))
12.0ms	(* (sin x) (cos eps))
55.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

series322.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))
51.0ms	(* (cos x) (sin eps))
47.0ms	(* (sin x) (cos eps))
125.0ms	(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

simplify37.0ms

Counts: 76 → 76

prune230.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
0.1b	(* (cos x) (sin eps))
0.1b	(* (sin x) (- (cos eps) 1))
1.4b	(- (cos eps) 1)

rewrite78.0ms

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:

24.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
12.0ms	(* (cos x) (sin eps))
28.0ms	(* (sin x) (- (cos eps) 1))
12.0ms	(- (cos eps) 1)

series240.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))
50.0ms	(* (cos x) (sin eps))
50.0ms	(* (sin x) (- (cos eps) 1))
21.0ms	(- (cos eps) 1)

simplify41.0ms

Counts: 89 → 89

prune260.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (- (cos eps) 1))
0.1b	(* (sin x) (log (exp (- (cos eps) 1))))
1.4b	(- (cos eps) 1)
1.4b	(log (exp (- (cos eps) 1)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
21×	`exp-prod`
16×	`log-pow`
15×	`log-prod`
12×	`add-cube-cbrt`
11×	`associate-r`
9×	`add-log-exp`
8×	`pow1` `exp-sum` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`difference-of-sqr-1` `distribute-lft-out--`
3×	`associate-l`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

17.0ms	(exp (- (cos eps) 1))
62.0ms	(* (sin x) (log (exp (- (cos eps) 1))))
7.0ms	(- (cos eps) 1)
15.0ms	(log (exp (- (cos eps) 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(exp (- (cos eps) 1))
49.0ms	(* (sin x) (log (exp (- (cos eps) 1))))
23.0ms	(- (cos eps) 1)
21.0ms	(log (exp (- (cos eps) 1)))

simplify106.0ms

Counts: 105 → 105

prune301.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.3s	3289×	body	1280	valid
994.0ms	1870×	body	640	valid
799.0ms	663×	body	2560	valid
270.0ms	764×	body	320	valid
86.0ms	328×	body	160	valid
72.0ms	1086×	body	80	valid