Details

sample168.0ms

Algorithm

intervals

Results

75.0ms	115×	body	1280	valid
37.0ms	283×	body	80	valid
29.0ms	70×	body	640	valid
11.0ms	35×	body	320	valid
3.0ms	16×	body	160	valid

simplify64.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

64.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.8b

localize11.0ms

Local error

Found 1 expressions with local error:

4.8b	(- (exp x) (exp (- x)))

rewrite30.0ms

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

29.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

53.0ms

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

simplify459.0ms

Counts

7 → 18

Calls

7 calls:

Slowest

286.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
59.0ms	(- (exp x) (exp (* -1 x)))
43.0ms	(/ (exp (exp x)) (exp (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))
18.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

prune176.0ms

Pruning

4 alts after pruning (4 fresh and 0 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))

rewrite102.0ms

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

76.0ms	(* x (+ (* x (* 1/3 x)) 2))
12.0ms	(* x (* 1/3 x))
8.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(* x (+ (* x (* 1/3 x)) 2))
80.0ms	(* (pow x 5) 1/60)
37.0ms	(* x (* 1/3 x))
29.0ms	(* 1/3 x)

simplify3.2s

Counts

61 → 99

Calls

61 calls:

Slowest

390.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
286.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
229.0ms	(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
225.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
183.0ms	(* (* (* 1/3 1/3) 1/3) (* (* x x) x))

prune992.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite94.0ms

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

52.0ms	(* (* x (* 1/3 x)) x)
18.0ms	(* x (* 1/3 x))
16.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series171.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(* (pow x 5) 1/60)
48.0ms	(* (* x (* 1/3 x)) x)
38.0ms	(* x (* 1/3 x))
22.0ms	(* 1/3 x)

simplify3.8s

Counts

58 → 98

Calls

58 calls:

Slowest

538.0ms	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
534.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
490.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
266.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
208.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune937.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.2b	(* (sqrt x) (* (sqrt x) (+ (* x (* 1/3 x)) 2)))
0.1b	(* x (* 1/3 x))
0.1b	(* (pow x 5) 1/60)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

Slowest

82.0ms	(* (sqrt x) (* (sqrt x) (+ (* x (* 1/3 x)) 2)))
13.0ms	(* x (* 1/3 x))
10.0ms	(* 1/3 x)
8.0ms	(* (pow x 5) 1/60)

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(* (sqrt x) (* (sqrt x) (+ (* x (* 1/3 x)) 2)))
74.0ms	(* (pow x 5) 1/60)
50.0ms	(* x (* 1/3 x))
21.0ms	(* 1/3 x)

simplify4.0s

Counts

65 → 104

Calls

65 calls:

Slowest

701.0ms	(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (* (sqrt x) (+ (* x (* 1/3 x)) 2)) (* (sqrt x) (+ (* x (* 1/3 x)) 2))) (* (sqrt x) (+ (* x (* 1/3 x)) 2))))
363.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
333.0ms	(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2))))
260.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
245.0ms	(* (sqrt x) (* (sqrt x) (+ (* x (* 1/3 x)) 2)))

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

56.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.7b

bsearch67.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	3365×	body	1280	valid
1.1s	2516×	body	640	valid
734.0ms	8128×	body	80	valid
376.0ms	1230×	body	320	valid
99.0ms	596×	body	160	valid