Details

sample116.0ms

Algorithm

intervals

Results

39.0ms	75×	body	1280	valid
31.0ms	70×	body	10240	exit
20.0ms	53×	body	640	valid
6.0ms	88×	body	80	valid
6.0ms	24×	body	320	valid
2.0ms	16×	body	160	valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

(/ (exp x) (- (exp x) 1))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.3b

localize17.0ms

Local error

Found 2 expressions with local error:

4.5b	(- (exp x) 1)
0.0b	(/ (exp x) (- (exp x) 1))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

35.0ms	(- (exp x) 1)
20.0ms	(/ (exp x) (- (exp x) 1))

series42.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

27.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify1.9s

Counts

68 → 69

Calls

68 calls:

Slowest

466.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
209.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
56.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
54.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
38.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) (sqrt 1)))

prune506.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.4b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
0.0b	(+ (/ 1 x) 1/2)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`sum-log`
3×	`associate-r` `associate-l` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

Slowest

23.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
18.0ms	(+ (/ 1 x) 1/2)
5.0ms	(* 1/12 x)

series66.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

27.0ms	(* 1/12 x)
25.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
14.0ms	(+ (/ 1 x) 1/2)

simplify1.3s

Counts

23 → 56

Calls

23 calls:

Slowest

461.0ms	(* (exp (* 1/12 x)) (* (exp (/ 1 x)) (exp 1/2)))
379.0ms	(* (exp (* 1/12 x)) (exp (+ (/ 1 x) 1/2)))
221.0ms	(* (* (* 1/12 1/12) 1/12) (* (* x x) x))
36.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
26.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune358.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp x) 1)
4.5b	(- (exp x) 1)
4.5b	(- (exp x) 1)
0.1b	(cbrt (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

30×	`flip3--` `flip--`
28×	`frac-times`
26×	`cbrt-div`
16×	`add-sqr-sqrt`
14×	`associate-*l/`
13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`associate-*r/`
6×	`difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 88

Calls

4 calls:

Slowest

88.0ms	(cbrt (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
12.0ms	(- (exp x) 1)
8.0ms	(- (exp x) 1)
8.0ms	(- (exp x) 1)

series77.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

25.0ms	(- (exp x) 1)
21.0ms	(- (exp x) 1)
16.0ms	(- (exp x) 1)
15.0ms	(cbrt (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))

simplify7.6s

Counts

61 → 100

Calls

61 calls:

Slowest

678.0ms	(cbrt (* (* (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1))) (- (exp x) 1)))
367.0ms	(cbrt (* (* (- (exp x) 1) (- (exp x) 1)) (- (* (exp x) (exp x)) (* 1 1))))
334.0ms	(cbrt (* (* (- (pow (exp x) 3) (pow 1 3)) (- (pow (exp x) 3) (pow 1 3))) (- (pow (exp x) 3) (pow 1 3))))
329.0ms	(cbrt (* (* (- (exp x) 1) (- (pow (exp x) 3) (pow 1 3))) (- (* (exp x) (exp x)) (* 1 1))))
315.0ms	(cbrt (* (* (- (pow (exp x) 3) (pow 1 3)) (- (exp x) 1)) (- (* (exp x) (exp x)) (* 1 1))))

prune998.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 21.2b

bsearch55.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	2315×	body	1280	valid
1.1s	1652×	body	640	valid
1.0s	2369×	body	10240	exit
175.0ms	2837×	body	80	valid
171.0ms	811×	body	320	valid
51.0ms	386×	body	160	valid