Details

sample153.0ms

Algorithm

intervals

Results

106.0ms	182×	body	1280	valid
16.0ms	275×	body	80	valid
10.0ms	34×	body	640	valid
4.0ms	17×	body	320	valid
3.0ms	17×	body	160	valid

simplify263.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize18.0ms

Local error

Found 2 expressions with local error:

6.0b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite60.0ms

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

48.0ms	(+ (- (exp x) 2) (exp (- x)))
11.0ms	(- (exp x) 2)

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

67.0ms	(+ (- (exp x) 2) (exp (- x)))
14.0ms	(- (exp x) 2)

simplify542.0ms

Counts: 43 → 43

prune399.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow x 4) 1/12)
0.1b	(* 1/360 (pow x 6))
0.0b	(+ (* 1/360 (pow x 6)) (* (pow x 4) 1/12))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-exp-log`
10×	`associate-r` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down`
7×	`add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1` `insert-posit16`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 64

Calls

3 calls:

Slowest

9.0ms	(* (pow x 4) 1/12)
8.0ms	(+ (* 1/360 (pow x 6)) (* (pow x 4) 1/12))
8.0ms	(* 1/360 (pow x 6))

series380.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

225.0ms	(+ (* 1/360 (pow x 6)) (* (pow x 4) 1/12))
100.0ms	(* 1/360 (pow x 6))
56.0ms	(* (pow x 4) 1/12)

simplify1.1s

Counts: 73 → 73

prune747.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

4.8b	(- (+ (/ 1 (exp x)) (exp x)) 2)
0.0b	(/ 1 (exp x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

Slowest

120.0ms	(- (+ (/ 1 (exp x)) (exp x)) 2)
6.0ms	(/ 1 (exp x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

68.0ms	(- (+ (/ 1 (exp x)) (exp x)) 2)
9.0ms	(/ 1 (exp x))

simplify2.4s

Counts: 60 → 60

prune533.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.7s	5672×	body	1280	valid
774.0ms	1208×	body	640	valid
509.0ms	7885×	body	80	valid
171.0ms	636×	body	320	valid
42.0ms	298×	body	160	valid