Details

sample170.0ms

Algorithm

intervals

Results

79.0ms	111×	body	1280	valid
36.0ms	56×	body	640	valid
31.0ms	20×	body	2560	valid
6.0ms	23×	body	320	valid
3.0ms	36×	body	80	valid
2.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (sin (+ eps x)) (sin x))
2.3b	(sin (+ eps x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

95.0ms	(- (sin (+ eps x)) (sin x))
8.0ms	(sin (+ eps x))

series98.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(- (sin (+ eps x)) (sin x))
35.0ms	(sin (+ eps x))

simplify3.1s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
4	4832
3	1014
2	314
1	126
0	63

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

53.0ms	(+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))
17.0ms	(* (sin eps) (cos x))
11.0ms	(* (cos eps) (sin x))
10.0ms	(- (* (cos eps) (sin x)) (sin x))

series447.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))
81.0ms	(* (sin eps) (cos x))
65.0ms	(* (cos eps) (sin x))
112.0ms	(- (* (cos eps) (sin x)) (sin x))

simplify775.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1481
1	354
0	139

prune537.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin eps) (cos x))
0.2b	(* (sin x) (cos eps))
1.2b	(- (* (sin x) (cos eps)) (sin x))
2.8b	(log (exp (- (* (sin x) (cos eps)) (sin x))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`log-prod`
4×	`log-pow`
3×	`exp-prod`
2×	`sub-neg` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `sin-cos-mult` `unswap-sqr`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 68

Calls

4 calls:

17.0ms	(* (sin eps) (cos x))
20.0ms	(* (sin x) (cos eps))
21.0ms	(- (* (sin x) (cos eps)) (sin x))
31.0ms	(log (exp (- (* (sin x) (cos eps)) (sin x))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (sin eps) (cos x))
59.0ms	(* (sin x) (cos eps))
83.0ms	(- (* (sin x) (cos eps)) (sin x))
87.0ms	(log (exp (- (* (sin x) (cos eps)) (sin x))))

simplify798.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1171
1	287
0	135

prune569.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (cos eps) 1)
1.2b	(- (cos eps) 1)
2.9b	(log (sqrt (pow (exp (sin x)) (- (cos eps) 1))))
2.9b	(log (sqrt (pow (exp (sin x)) (- (cos eps) 1))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`add-sqr-sqrt` `sqrt-prod`
16×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`add-log-exp`
6×	`pow1` `unpow-prod-down` `add-exp-log` `log-pow`
4×	`unpow-prod-up` `sub-neg` `add-cbrt-cube` `difference-of-squares`
2×	`log-div` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `diff-log` `difference-of-sqr-1` `rem-log-exp` `flip--` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

6.0ms	(- (cos eps) 1)
11.0ms	(- (cos eps) 1)
6.0ms	(log (sqrt (pow (exp (sin x)) (- (cos eps) 1))))
10.0ms	(log (sqrt (pow (exp (sin x)) (- (cos eps) 1))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (cos eps) 1)
21.0ms	(- (cos eps) 1)
164.0ms	(log (sqrt (pow (exp (sin x)) (- (cos eps) 1))))
161.0ms	(log (sqrt (pow (exp (sin x)) (- (cos eps) 1))))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	2927
2	604
1	212
0	108

prune618.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes242.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.5s	3320×	body	1280	valid
1.4s	637×	body	2560	valid
773.0ms	1868×	body	640	valid
227.0ms	725×	body	320	valid
115.0ms	1106×	body	80	valid
55.0ms	344×	body	160	valid