Details

sample182.0ms

Algorithm

intervals

Results

107.0ms	130×	body	1280	valid
26.0ms	56×	body	640	valid
21.0ms	266×	body	80	valid
11.0ms	38×	body	320	valid
4.0ms	20×	body	160	valid

simplify62.0ms

Calls

1 calls:

Slowest

62.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize24.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) (exp (- x)))

rewrite29.0ms

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`

Calls

1 calls:

Slowest

29.0ms

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

series45.0ms

Calls

1 calls:

Slowest

45.0ms

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

simplify515.0ms

Calls

7 calls:

Slowest

313.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
66.0ms	(/ (exp (exp x)) (exp (exp (- x))))
54.0ms	(- (exp x) (exp (* -1 x)))
25.0ms	(- (exp x) (exp (- x)))
23.0ms	(+ (sqrt (exp x)) (sqrt (exp (- x))))

prune171.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite85.0ms

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-+`

Calls

4 calls:

Slowest

57.0ms	(* x (+ (* x (* 1/3 x)) 2))
13.0ms	(* x (* 1/3 x))
9.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series254.0ms

Calls

4 calls:

Slowest

120.0ms	(* x (+ (* x (* 1/3 x)) 2))
85.0ms	(* (pow x 5) 1/60)
27.0ms	(* x (* 1/3 x))
23.0ms	(* 1/3 x)

simplify3.3s

Calls

61 calls:

Slowest

420.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
313.0ms	(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
290.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
204.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
196.0ms	(* (* (* 1/3 1/3) 1/3) (* (* x x) x))

prune835.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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)

rewrite75.0ms

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`

Calls

4 calls:

Slowest

34.0ms	(* (* x (* 1/3 x)) x)
17.0ms	(* (pow x 5) 1/60)
13.0ms	(* x (* 1/3 x))
8.0ms	(* 1/3 x)

series201.0ms

Calls

4 calls:

Slowest

73.0ms	(* (pow x 5) 1/60)
51.0ms	(* x (* 1/3 x))
48.0ms	(* (* x (* 1/3 x)) x)
29.0ms	(* 1/3 x)

simplify4.1s

Calls

58 calls:

Slowest

573.0ms	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
552.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
511.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
287.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
239.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))

prune978.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (exp (* (pow x 5) 1/60)))
0.3b	(* 1/3 x)
0.1b	(* (* x (* 1/3 x)) x)
0.1b	(* x (* 1/3 x))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`log-prod` `log-pow` `*-commutative`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `unswap-sqr`

Calls

4 calls:

Slowest

73.0ms	(* (* x (* 1/3 x)) x)
23.0ms	(* x (* 1/3 x))
10.0ms	(* 1/3 x)
6.0ms	(log (exp (* (pow x 5) 1/60)))

series186.0ms

Calls

4 calls:

Slowest

85.0ms	(log (exp (* (pow x 5) 1/60)))
45.0ms	(* (* x (* 1/3 x)) x)
38.0ms	(* x (* 1/3 x))
17.0ms	(* 1/3 x)

simplify3.2s

Calls

44 calls:

Slowest

555.0ms	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
497.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
468.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
301.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
229.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune965.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.7b remaining)

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

bsearch3.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.4s	3475×	body	1280	valid
1.0s	2356×	body	640	valid
722.0ms	8203×	body	80	valid
344.0ms	1299×	body	320	valid
134.0ms	601×	body	160	valid