Details

sample347.0ms

Algorithm

intervals

Results

134.0ms	61×	body	10240	exit
68.0ms	54×	body	1280	valid
64.0ms	304×	body	80	valid
37.0ms	39×	body	640	valid
11.0ms	19×	body	320	valid
7.0ms	13×	body	160	valid

simplify406.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize35.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (+ (exp (* x (+ eps -1))) (/ (exp (* x (+ eps -1))) eps)) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
0.0b	(* x (+ eps -1))
0.0b	(* x (+ eps -1))
0.0b	(* x (- -1 eps))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
16×	`add-log-exp`
15×	`associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-l`
7×	`distribute-lft-out--`
6×	`diff-log` `associate-*r/`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `frac-sub` `flip-+` `insert-posit16` `flip--` `distribute-lft-out`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`difference-of-sqr--1` `sum-log` `associate--r+` `difference-of-squares`
1×	`associate--l+` `associate--r-`

Counts

4 → 106

Calls

4 calls:

Slowest

114.0ms	(- (+ (exp (* x (+ eps -1))) (/ (exp (* x (+ eps -1))) eps)) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
14.0ms	(* x (- -1 eps))
13.0ms	(* x (+ eps -1))
12.0ms	(* x (+ eps -1))

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(- (+ (exp (* x (+ eps -1))) (/ (exp (* x (+ eps -1))) eps)) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
43.0ms	(* x (- -1 eps))
41.0ms	(* x (+ eps -1))
34.0ms	(* x (+ eps -1))

simplify979.0ms

Counts: 133 → 118

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

7.0b	(+ (- 2 (* x x)) (* (* 2/3 x) (* x x)))
0.4b	(* 2/3 x)
0.1b	(* (* 2/3 x) (* x x))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`associate-+l+` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

Slowest

43.0ms	(* (* 2/3 x) (* x x))
42.0ms	(+ (- 2 (* x x)) (* (* 2/3 x) (* x x)))
15.0ms	(* 2/3 x)

series135.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(* (* 2/3 x) (* x x))
59.0ms	(+ (- 2 (* x x)) (* (* 2/3 x) (* x x)))
15.0ms	(* 2/3 x)

simplify289.0ms

Counts: 67 → 67

prune577.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (/ (exp (* x (+ eps -1))) eps) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
0.0b	(* x (+ eps -1))
0.0b	(* x (+ eps -1))
0.0b	(* x (- -1 eps))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
15×	`associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-l` `add-log-exp`
6×	`associate-*r/`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `insert-posit16` `distribute-lft-out--`
3×	`flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
2×	`difference-of-sqr--1` `flip3-+` `frac-sub` `flip-+` `distribute-lft-out` `associate--r+`
1×	`times-frac` `associate--r-`

Counts

4 → 100

Calls

4 calls:

Slowest

97.0ms	(- (/ (exp (* x (+ eps -1))) eps) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
18.0ms	(* x (+ eps -1))
14.0ms	(* x (- -1 eps))
13.0ms	(* x (+ eps -1))

series227.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(- (/ (exp (* x (+ eps -1))) eps) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
58.0ms	(* x (- -1 eps))
52.0ms	(* x (+ eps -1))
30.0ms	(* x (+ eps -1))

simplify567.0ms

Counts: 126 → 112

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (/ (exp (* x (+ eps -1))) eps) (/ (exp (* x (- -1 eps))) eps))
0.0b	(* x (+ eps -1))
0.0b	(* x (+ eps -1))
0.0b	(* x (- -1 eps))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
15×	`associate-r`
12×	`add-cube-cbrt`
10×	`pow1` `times-frac` `add-cbrt-cube` `add-exp-log`
9×	`associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`distribute-rgt-in` `distribute-lft-in` `insert-posit16`
3×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`difference-of-sqr--1` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `distribute-lft-out`
1×	`distribute-rgt-out--` `diff-log` `frac-sub` `sub-div`

Counts

4 → 101

Calls

4 calls:

Slowest

37.0ms	(- (/ (exp (* x (+ eps -1))) eps) (/ (exp (* x (- -1 eps))) eps))
27.0ms	(* x (+ eps -1))
16.0ms	(* x (- -1 eps))
12.0ms	(* x (+ eps -1))

series280.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(- (/ (exp (* x (+ eps -1))) eps) (/ (exp (* x (- -1 eps))) eps))
76.0ms	(* x (- -1 eps))
50.0ms	(* x (+ eps -1))
49.0ms	(* x (+ eps -1))

simplify603.0ms

Counts: 128 → 113

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes67.0ms

Accuracy

0% (0.4b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 0.8b

bsearch7.0ms

end0.0ms

sample11.8s

Algorithm

intervals

Results

3.8s	1995×	body	10240	exit
3.1s	1775×	body	1280	valid
2.7s	10060×	body	80	valid
1.2s	1296×	body	640	valid
410.0ms	621×	body	320	valid
134.0ms	309×	body	160	valid