Details

sample362.0ms

Algorithm

intervals

Results

97.0ms	334×	body	80	valid
96.0ms	57×	body	1280	valid
89.0ms	62×	body	10240	exit
36.0ms	40×	body	640	valid
16.0ms	27×	body	320	valid
3.0ms	8×	body	160	valid

simplify1.6s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize35.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (+ (/ 1/2 (exp (- x (* x eps)))) (/ (/ 1/2 (exp (- x (* x eps)))) eps)) (- (/ (/ 1/2 (exp (+ x (* x eps)))) eps) (/ 1/2 (exp (+ x (* x eps))))))
0.0b	(/ 1/2 (exp (+ x (* x eps))))
0.0b	(/ 1/2 (exp (+ x (* x eps))))
0.0b	(/ 1/2 (exp (- x (* x eps))))

rewrite688.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
16×	`exp-sum` `add-log-exp`
13×	`associate-/r*`
12×	`frac-sub`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`sub-neg` `diff-log`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `frac-add` `flip-+` `div-inv` `distribute-lft-out`
2×	`sum-log` `associate--r+`
1×	`exp-diff` `associate--l+` `associate-/r/` `associate--r-` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

Slowest

644.0ms	(- (+ (/ 1/2 (exp (- x (* x eps)))) (/ (/ 1/2 (exp (- x (* x eps)))) eps)) (- (/ (/ 1/2 (exp (+ x (* x eps)))) eps) (/ 1/2 (exp (+ x (* x eps))))))
16.0ms	(/ 1/2 (exp (+ x (* x eps))))
14.0ms	(/ 1/2 (exp (+ x (* x eps))))
13.0ms	(/ 1/2 (exp (- x (* x eps))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

216.0ms	(- (+ (/ 1/2 (exp (- x (* x eps)))) (/ (/ 1/2 (exp (- x (* x eps)))) eps)) (- (/ (/ 1/2 (exp (+ x (* x eps)))) eps) (/ 1/2 (exp (+ x (* x eps))))))
31.0ms	(/ 1/2 (exp (+ x (* x eps))))
30.0ms	(/ 1/2 (exp (- x (* x eps))))
21.0ms	(/ 1/2 (exp (+ x (* x eps))))

simplify1.5s

Counts: 148 → 148

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 4 expressions with local error:

5.6b	(+ (* (* 1/3 x) (* x x)) (* -1/2 (* x x)))
0.4b	(* 1/3 x)
0.1b	(* (* 1/3 x) (* x x))
0.0b	(* -1/2 (* x x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

Slowest

47.0ms	(+ (* (* 1/3 x) (* x x)) (* -1/2 (* x x)))
24.0ms	(* (* 1/3 x) (* x x))
13.0ms	(* -1/2 (* x x))
5.0ms	(* 1/3 x)

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(+ (* (* 1/3 x) (* x x)) (* -1/2 (* x x)))
65.0ms	(* (* 1/3 x) (* x x))
42.0ms	(* -1/2 (* x x))
27.0ms	(* 1/3 x)

simplify1.7s

Counts: 87 → 87

prune674.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize53.0ms

Local error

Found 4 expressions with local error:

60.2b	(posit16->real (real->posit16 (* 1/3 x)))
5.6b	(+ (* (posit16->real (real->posit16 (* 1/3 x))) (* x x)) (* -1/2 (* x x)))
0.4b	(* 1/3 x)
0.1b	(* (posit16->real (real->posit16 (* 1/3 x))) (* x x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

Slowest

19.0ms	(+ (* (posit16->real (real->posit16 (* 1/3 x))) (* x x)) (* -1/2 (* x x)))
18.0ms	(* (posit16->real (real->posit16 (* 1/3 x))) (* x x))
10.0ms	(* 1/3 x)
0.0ms	(posit16->real (real->posit16 (* 1/3 x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(+ (* (posit16->real (real->posit16 (* 1/3 x))) (* x x)) (* -1/2 (* x x)))
71.0ms	(* (posit16->real (real->posit16 (* 1/3 x))) (* x x))
25.0ms	(* 1/3 x)
19.0ms	(posit16->real (real->posit16 (* 1/3 x)))

simplify1.6s

Counts: 73 → 73

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize48.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (/ (/ 1/2 (exp (- x (* x eps)))) eps) (- (/ (/ 1/2 (exp (+ x (* x eps)))) eps) (/ 1/2 (exp (+ x (* x eps))))))
0.0b	(/ 1/2 (exp (+ x (* x eps))))
0.0b	(/ 1/2 (exp (+ x (* x eps))))
0.0b	(/ 1/2 (exp (- x (* x eps))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
43×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
16×	`exp-sum`
13×	`associate-/r*`
10×	`add-cbrt-cube`
9×	`associate-/l*` `add-log-exp`
7×	`add-exp-log`
6×	`sub-neg`
5×	`distribute-lft-out--`
4×	`pow1` `frac-sub` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `div-inv` `difference-of-squares`
2×	`flip3--` `flip--` `associate--r+`
1×	`exp-diff` `associate-/r/` `associate--r-`

Counts

4 → 127

Calls

4 calls:

Slowest

204.0ms	(- (/ (/ 1/2 (exp (- x (* x eps)))) eps) (- (/ (/ 1/2 (exp (+ x (* x eps)))) eps) (/ 1/2 (exp (+ x (* x eps))))))
24.0ms	(/ 1/2 (exp (+ x (* x eps))))
22.0ms	(/ 1/2 (exp (+ x (* x eps))))
22.0ms	(/ 1/2 (exp (- x (* x eps))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(- (/ (/ 1/2 (exp (- x (* x eps)))) eps) (- (/ (/ 1/2 (exp (+ x (* x eps)))) eps) (/ 1/2 (exp (+ x (* x eps))))))
34.0ms	(/ 1/2 (exp (+ x (* x eps))))
28.0ms	(/ 1/2 (exp (- x (* x eps))))
24.0ms	(/ 1/2 (exp (+ x (* x eps))))

simplify726.0ms

Counts: 139 → 139

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

regimes75.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch6.0ms

end0.0ms

sample11.6s

Algorithm

intervals

Results

4.0s	1981×	body	10240	exit
3.3s	10178×	body	80	valid
2.3s	1649×	body	1280	valid
1.2s	1262×	body	640	valid
437.0ms	664×	body	320	valid
110.0ms	306×	body	160	valid