Details

sample144.0ms

Algorithm

intervals

Results

71.0ms	130×	body	1280	valid
18.0ms	56×	body	640	valid
15.0ms	266×	body	80	valid
9.0ms	38×	body	320	valid
3.0ms	20×	body	160	valid

simplify59.0ms

Calls

1 calls:

Slowest

59.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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

9.0ms

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

series75.0ms

Calls

1 calls:

Slowest

75.0ms

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

simplify308.0ms

Calls

7 calls:

Slowest

83.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
67.0ms	(/ (exp (exp x)) (exp (exp (- x))))
45.0ms	(- (exp x) (exp (* -1 x)))
32.0ms	(+ (sqrt (exp x)) (sqrt (exp (- x))))
31.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

prune198.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite12.0ms

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	(* (pow x 5) 1/60)
4.0ms	(* x (+ (* x (* 1/3 x)) 2))
2.0ms	(* x (* 1/3 x))
1.0ms	(* 1/3 x)

series225.0ms

Calls

4 calls:

Slowest

122.0ms	(* x (+ (* x (* 1/3 x)) 2))
53.0ms	(* (pow x 5) 1/60)
28.0ms	(* x (* 1/3 x))
22.0ms	(* 1/3 x)

simplify687.0ms

Calls

21 calls:

Slowest

331.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
70.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
60.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
48.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
23.0ms	(cbrt (+ (* x (* 1/3 x)) 2))

prune535.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(* (* x (* 1/3 x)) x)
4.0ms	(* x (* 1/3 x))
3.0ms	(* (pow x 5) 1/60)
0.0ms	(* 1/3 x)

series196.0ms

Calls

4 calls:

Slowest

91.0ms	(* (pow x 5) 1/60)
52.0ms	(* (* x (* 1/3 x)) x)
35.0ms	(* x (* 1/3 x))
17.0ms	(* 1/3 x)

simplify156.0ms

Calls

14 calls:

Slowest

25.0ms	(* 1/3 (pow x 3))
21.0ms	(* 1/3 (pow x 3))
20.0ms	(* 1/3 (pow x 3))
16.0ms	(* 1/3 (pow x 2))
16.0ms	(* 1/3 (pow x 2))

prune562.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(* (* x (* 1/3 x)) x)
2.0ms	(log (exp (* (pow x 5) 1/60)))
1.0ms	(* x (* 1/3 x))
0.0ms	(* 1/3 x)

series179.0ms

Calls

4 calls:

Slowest

61.0ms	(log (exp (* (pow x 5) 1/60)))
54.0ms	(* (* x (* 1/3 x)) x)
48.0ms	(* x (* 1/3 x))
16.0ms	(* 1/3 x)

simplify234.0ms

Calls

16 calls:

Slowest

44.0ms	(log (* (cbrt (exp (* (pow x 5) 1/60))) (cbrt (exp (* (pow x 5) 1/60)))))
32.0ms	(log (sqrt (exp (* (pow x 5) 1/60))))
21.0ms	(* 1/3 (pow x 3))
19.0ms	(* 1/3 (pow x 3))
19.0ms	(* 1/3 (pow x 2))

prune667.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.7b remaining)

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

bsearch4.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.3s	3475×	body	1280	valid
1.0s	2356×	body	640	valid
952.0ms	8203×	body	80	valid
349.0ms	1299×	body	320	valid
96.0ms	601×	body	160	valid