Details

sample58.0ms

Algorithm

intervals

Results

21.0ms	72×	body	1280	valid
10.0ms	50×	body	640	valid
8.0ms	191×	body	80	valid
5.0ms	30×	body	320	valid
1.0ms	12×	body	160	valid

simplify4.2s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize18.0ms

Local error

Found 2 expressions with local error:

3.0b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
5×	`*-un-lft-identity`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

Slowest

23.0ms	(- (exp (* a x)) 1)
4.0ms	(exp (* a x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

38.0ms	(- (exp (* a x)) 1)
13.0ms	(exp (* a x))

simplify892.0ms

Counts: 34 → 34

prune266.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

12.1b	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
0.2b	(* (* a x) (* 1/2 (* a x)))
0.2b	(* (* a x) (* a x))
0.1b	(* (* (* (* a x) (* a x)) (* a x)) 1/6)

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
90×	`add-cbrt-cube` `add-exp-log`
74×	`pow-prod-down`
65×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`pow-plus`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 122

Calls

4 calls:

Slowest

355.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
55.0ms	(* (* a x) (* 1/2 (* a x)))
44.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
23.0ms	(* (* a x) (* a x))

series334.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
93.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
54.0ms	(* (* a x) (* 1/2 (* a x)))
40.0ms	(* (* a x) (* a x))

simplify747.0ms

Counts: 134 → 134

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

12.1b	(+ (* (* a x) (* 1/2 (* a x))) (* (* (log (exp (* (* a x) (* a x)))) (* a x)) 1/6))
2.2b	(log (exp (* (* a x) (* a x))))
0.2b	(* (* a x) (* 1/2 (* a x)))
0.2b	(* (* a x) (* a x))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1`
37×	`add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down`
23×	`prod-exp` `cbrt-unprod`
7×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`log-prod` `log-pow`
2×	`pow-plus` `associate-r` `associate-l` `*-commutative`
1×	`pow2` `+-commutative` `exp-prod` `sum-log` `flip3-+` `exp-to-pow` `swap-sqr` `rem-log-exp` `flip-+`

Counts

4 → 91

Calls

4 calls:

Slowest

86.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (log (exp (* (* a x) (* a x)))) (* a x)) 1/6))
53.0ms	(* (* a x) (* 1/2 (* a x)))
33.0ms	(* (* a x) (* a x))
5.0ms	(log (exp (* (* a x) (* a x))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (log (exp (* (* a x) (* a x)))) (* a x)) 1/6))
62.0ms	(* (* a x) (* a x))
54.0ms	(* (* a x) (* 1/2 (* a x)))
38.0ms	(log (exp (* (* a x) (* a x))))

simplify5.6s

Counts: 103 → 103

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (exp (* a x)) 1)
3.0b	(- (exp (* a x)) 1)
3.0b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-log-exp`
6×	`difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 62

Calls

4 calls:

Slowest

27.0ms	(- (exp (* a x)) 1)
17.0ms	(- (exp (* a x)) 1)
11.0ms	(- (exp (* a x)) 1)
4.0ms	(exp (* a x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

58.0ms	(- (exp (* a x)) 1)
47.0ms	(- (exp (* a x)) 1)
40.0ms	(- (exp (* a x)) 1)
22.0ms	(exp (* a x))

simplify828.0ms

Counts: 74 → 74

prune790.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch64.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	2729×	body	1280	valid
422.0ms	5488×	body	80	valid
422.0ms	1354×	body	640	valid
216.0ms	735×	body	320	valid
54.0ms	403×	body	160	valid