Details

sample144.0ms

Algorithm

intervals

Results

101.0ms	186×	body	1280	valid
14.0ms	246×	body	80	valid
13.0ms	38×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify192.0ms

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.1b

localize12.0ms

Local error

Found 2 expressions with local error:

4.6b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

57.0ms	(+ (- (exp x) 2) (exp (- x)))
8.0ms	(- (exp x) 2)

series100.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

79.0ms	(+ (- (exp x) 2) (exp (- x)))
21.0ms	(- (exp x) 2)

simplify728.0ms

Counts: 43 → 43

prune379.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)
0.1b	(* (* (* x x) (* x x)) 1/12)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

171×	`pow1`
48×	`pow-prod-up`
44×	`add-cbrt-cube` `add-exp-log`
42×	`pow-prod-down`
30×	`pow-plus`
27×	`prod-exp` `cbrt-unprod`
26×	`pow-sqr`
17×	`pow2`
10×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow3`
1×	`swap-sqr`

Counts

4 → 151

Calls

4 calls:

Slowest

69.0ms	(* (* (* x x) (* x x)) 1/12)
44.0ms	(* (* x x) (* x x))
16.0ms	(* (* x x) x)
16.0ms	(* (* x x) x)

series215.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* (* x x) (* x x)) 1/12)
55.0ms	(* (* x x) x)
48.0ms	(* (* x x) x)
41.0ms	(* (* x x) (* x x))

simplify1.3s

Counts: 163 → 163

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

2.9b	(- (+ (/ 1 (exp x)) (exp x)) 2)
0.0b	(/ 1 (exp x))
0.0b	(+ (/ 1 (exp x)) (exp x))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac`
5×	`add-cbrt-cube`
4×	`pow1` `add-exp-log` `pow-flip` `distribute-lft-out`
3×	`exp-prod` `associate-/r` `insert-posit16` `div-inv` `associate-/l` `distribute-lft-out--`
2×	`sum-log` `diff-log` `div-exp`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `1-exp` `associate--l+` `flip-+` `flip--` `inv-pow` `difference-of-squares`

Counts

3 → 68

Calls

3 calls:

Slowest

158.0ms	(- (+ (/ 1 (exp x)) (exp x)) 2)
17.0ms	(+ (/ 1 (exp x)) (exp x))
12.0ms	(/ 1 (exp x))

series122.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(- (+ (/ 1 (exp x)) (exp x)) 2)
29.0ms	(+ (/ 1 (exp x)) (exp x))
10.0ms	(/ 1 (exp x))

simplify817.0ms

Counts: 77 → 77

prune532.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 1/12)
0.1b	(* (* (* x x) x) (* (* x x) x))
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

589×	`pow1`
290×	`pow-prod-up`
203×	`pow-plus`
100×	`pow-prod-down`
90×	`pow-sqr`
57×	`pow2`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
24×	`pow3`
10×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 270

Calls

4 calls:

Slowest

101.0ms	(* (* (* x x) x) (* (* x x) x))
28.0ms	(* (* x x) x)
26.0ms	(* (* x x) 1/12)
13.0ms	(* (* x x) x)

series210.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(* (* (* x x) x) (* (* x x) x))
51.0ms	(* (* x x) x)
48.0ms	(* (* x x) x)
44.0ms	(* (* x x) 1/12)

simplify2.9s

Counts: 282 → 282

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch6.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.9s	5684×	body	1280	valid
946.0ms	8196×	body	80	valid
861.0ms	1237×	body	640	valid
132.0ms	604×	body	320	valid
47.0ms	300×	body	160	valid