Details

sample141.0ms

Algorithm

intervals

Results

60.0ms	102×	body	1280	valid
39.0ms	90×	body	640	valid
17.0ms	254×	body	80	valid
9.0ms	36×	body	320	valid
2.0ms	18×	body	160	valid

simplify66.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

66.0ms

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

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize15.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (- x)))

rewrite11.0ms

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

10.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

52.0ms

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

simplify566.0ms

Counts

7 → 18

Calls

7 calls:

Slowest

290.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
105.0ms	(- (exp x) (exp (* -1 x)))
69.0ms	(/ (exp (exp x)) (exp (exp (- x))))
30.0ms	(+ (sqrt (exp x)) (sqrt (exp (- x))))
30.0ms	(- (exp x) (exp (- x)))

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite95.0ms

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

62.0ms	(* x (+ (* x (* 1/3 x)) 2))
14.0ms	(* x (* 1/3 x))
12.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series239.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(* x (+ (* x (* 1/3 x)) 2))
77.0ms	(* (pow x 5) 1/60)
30.0ms	(* x (* 1/3 x))
16.0ms	(* 1/3 x)

simplify3.3s

Counts

61 → 99

Calls

61 calls:

Slowest

355.0ms	(+ (* (* 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)))
262.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
216.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 1/60 1/60) 1/60))
204.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune920.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-r`
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

61.0ms	(* x (* x (* 1/3 x)))
17.0ms	(* x (* 1/3 x))
9.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series190.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* (pow x 5) 1/60)
52.0ms	(* x (* 1/3 x))
50.0ms	(* x (* x (* 1/3 x)))
18.0ms	(* 1/3 x)

simplify4.0s

Counts

59 → 98

Calls

59 calls:

Slowest

726.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))))
600.0ms	(* (* (* x x) x) (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))))
491.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))))
249.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
224.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))

prune925.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (* (pow x 5) 1/60)))
0.3b	(* 1/3 x)
0.1b	(* x (* 1/3 x))
0.1b	(* (pow x 5) 1/60)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
12×	`pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `prod-exp`
5×	`cbrt-unprod` `add-log-exp`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16` `unswap-sqr`
3×	`log-prod` `log-pow` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `rem-log-exp` `pow-exp`

Counts

4 → 79

Calls

4 calls:

Slowest

16.0ms	(* x (* 1/3 x))
8.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)
3.0ms	(log (exp (* (pow x 5) 1/60)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(log (exp (* (pow x 5) 1/60)))
59.0ms	(* x (* 1/3 x))
57.0ms	(* (pow x 5) 1/60)
16.0ms	(* 1/3 x)

simplify2.4s

Counts

51 → 91

Calls

51 calls:

Slowest

297.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
255.0ms	(log (* (cbrt (exp (* (pow x 5) 1/60))) (cbrt (exp (* (pow x 5) 1/60)))))
251.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 1/60 1/60) 1/60))
235.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
177.0ms	(log (sqrt (exp (* (pow x 5) 1/60))))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	3362×	body	1280	valid
1.5s	2486×	body	640	valid
701.0ms	8187×	body	80	valid
406.0ms	1235×	body	320	valid
176.0ms	656×	body	160	valid