Details

sample179.0ms

Algorithm

intervals

Results

80.0ms	105×	body	1280	valid
42.0ms	82×	body	640	valid
24.0ms	270×	body	80	valid
12.0ms	36×	body	320	valid
5.0ms	23×	body	160	valid

simplify86.0ms

Calls

1 calls:

Slowest

86.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize11.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (exp x) (exp (- x)))

rewrite8.0ms

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

8.0ms

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

series51.0ms

Calls

1 calls:

Slowest

51.0ms

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

simplify223.0ms

Calls

7 calls:

Slowest

81.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
45.0ms	(/ (exp (exp x)) (exp (exp (- x))))
27.0ms	(- (exp x) (exp (* -1 x)))
21.0ms	(- (exp x) (exp (- x)))
20.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

5.0ms	(* x (+ (* x (* 1/3 x)) 2))
2.0ms	(* (pow x 5) 1/60)
1.0ms	(* x (* 1/3 x))
0.0ms	(* 1/3 x)

series82.0ms

Calls

4 calls:

Slowest

31.0ms	(* x (+ (* x (* 1/3 x)) 2))
24.0ms	(* (pow x 5) 1/60)
15.0ms	(* x (* 1/3 x))
11.0ms	(* 1/3 x)

simplify578.0ms

Calls

21 calls:

Slowest

259.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
58.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
53.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
46.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
28.0ms	(sqrt (+ (* x (* 1/3 x)) 2))

prune566.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))
0.0b	(* (pow x 5) 1/60)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-r`

Calls

4 calls:

Slowest

4.0ms	(* x (* x (* 1/3 x)))
4.0ms	(* (pow x 5) 1/60)
2.0ms	(* x (* 1/3 x))
0.0ms	(* 1/3 x)

series63.0ms

Calls

4 calls:

Slowest

19.0ms	(* (pow x 5) 1/60)
18.0ms	(* x (* x (* 1/3 x)))
16.0ms	(* x (* 1/3 x))
10.0ms	(* 1/3 x)

simplify130.0ms

Calls

15 calls:

Slowest

18.0ms	(* 1/3 (pow x 3))
16.0ms	(* 1/3 (pow x 3))
16.0ms	(* 1/3 (pow x 3))
13.0ms	(* 1/3 (pow x 2))
10.0ms	(* 1/3 (pow x 2))

prune799.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.8b	(exp (log (* x (+ (* x (* 1/3 x)) 2))))
0.3b	(* 1/3 x)
0.1b	(* x (* 1/3 x))
0.0b	(* (pow x 5) 1/60)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`log-div` `exp-diff` `associate-*r/`
1×	`log-prod` `flip3-+` `associate-r` `exp-sum` `log-pow` `flip-+` `rem-exp-log`

Calls

4 calls:

Slowest

11.0ms	(exp (log (* x (+ (* x (* 1/3 x)) 2))))
2.0ms	(* (pow x 5) 1/60)
1.0ms	(* x (* 1/3 x))
0.0ms	(* 1/3 x)

series79.0ms

Calls

4 calls:

Slowest

32.0ms	(exp (log (* x (+ (* x (* 1/3 x)) 2))))
30.0ms	(* (pow x 5) 1/60)
11.0ms	(* x (* 1/3 x))
7.0ms	(* 1/3 x)

simplify948.0ms

Calls

21 calls:

Slowest

318.0ms	(exp (log (* x (- (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* 2 2)))))
240.0ms	(exp (log (* x (+ (pow (* x (* 1/3 x)) 3) (pow 2 3)))))
101.0ms	(exp (* (cbrt (log (* x (+ (* x (* 1/3 x)) 2)))) (cbrt (log (* x (+ (* x (* 1/3 x)) 2))))))
68.0ms	(exp (sqrt (log (* x (+ (* x (* 1/3 x)) 2)))))
56.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))

prune420.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.7b remaining)

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

bsearch3.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.1s	3433×	body	1280	valid
1.4s	2481×	body	640	valid
591.0ms	8031×	body	80	valid
303.0ms	1205×	body	320	valid
91.0ms	603×	body	160	valid