Details

sample126.0ms

Algorithm

intervals

Results

64.0ms	119×	body	1280	valid
24.0ms	72×	body	640	valid
15.0ms	260×	body	80	valid
7.0ms	34×	body	320	valid
4.0ms	25×	body	160	valid

simplify82.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

82.0ms

(/ (- (exp x) (exp (- x))) 2)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize12.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) (exp (- x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

Slowest

15.0ms

(- (exp x) (exp (- x)))

series65.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

65.0ms

(- (exp x) (exp (- x)))

simplify847.0ms

Counts

7 → 18

Calls

7 calls:

Slowest

377.0ms	(- (exp x) (exp (- x)))
291.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
59.0ms	(- (exp x) (exp (* -1 x)))
44.0ms	(/ (exp (exp x)) (exp (exp (- x))))
30.0ms	(- (exp x) (exp (- x)))

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.1b	(* x (* 1/3 x))
0.1b	(* (pow x 5) 1/60)
0.0b	(* x (+ (* x (* 1/3 x)) 2))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

Slowest

43.0ms	(* x (+ (* x (* 1/3 x)) 2))
23.0ms	(* x (* 1/3 x))
9.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series264.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(* x (+ (* x (* 1/3 x)) 2))
66.0ms	(* (pow x 5) 1/60)
47.0ms	(* x (* 1/3 x))
27.0ms	(* 1/3 x)

simplify3.2s

Counts

61 → 99

Calls

61 calls:

Slowest

401.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
263.0ms	(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
246.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
224.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
218.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 1/60 1/60) 1/60))

prune998.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.1b	(* (* x (* 1/3 x)) x)
0.1b	(* x (* 1/3 x))
0.1b	(* (pow x 5) 1/60)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-r` `pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

Slowest

43.0ms	(* (* x (* 1/3 x)) x)
22.0ms	(* x (* 1/3 x))
8.0ms	(* (pow x 5) 1/60)
8.0ms	(* 1/3 x)

series192.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(* (* x (* 1/3 x)) x)
70.0ms	(* (pow x 5) 1/60)
32.0ms	(* x (* 1/3 x))
18.0ms	(* 1/3 x)

simplify3.6s

Counts

58 → 98

Calls

58 calls:

Slowest

519.0ms	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
492.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
479.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
263.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
242.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.0s	3372×	body	1280	valid
1.5s	2518×	body	640	valid
686.0ms	7839×	body	80	valid
423.0ms	1231×	body	320	valid
99.0ms	638×	body	160	valid