Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	54×	body	1280	valid
7.0ms	137×	body	80	valid
7.0ms	35×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify537.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize12.0ms

Local error

Found 3 expressions with local error:

3.1b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

1284×	`*-un-lft-identity`
984×	`times-frac`
841×	`add-sqr-sqrt`
612×	`prod-diff`
521×	`add-cube-cbrt`
251×	`distribute-lft-out`
158×	`difference-of-squares`
110×	`associate-/r/`
90×	`distribute-lft-out--`
77×	`difference-of-sqr-1`
55×	`div-inv`
37×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
18×	`fma-neg`
11×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 753

Calls

3 calls:

Slowest

67.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
21.0ms	(/ (+ x 1) (- x 1))
9.0ms	(/ x (+ x 1))

series158.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
34.0ms	(/ x (+ x 1))
29.0ms	(/ (+ x 1) (- x 1))

simplify1.1s

Counts: 1423 → 762

prune7.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

28.3b	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`fma-udef`

Counts

4 → 62

Calls

4 calls:

Slowest

5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
1.0ms	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

205.0ms	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
67.0ms	(cbrt (+ x 1))
58.0ms	(cbrt (+ x 1))
47.0ms	(cbrt (+ x 1))

simplify721.0ms

Counts: 89 → 74

prune783.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

28.3b	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
28.3b	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `pow1/3` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 56

Calls

4 calls:

Slowest

5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
1.0ms	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
0.0ms	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
160.0ms	(fma (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ x (cbrt (+ x 1))) (- (/ (+ x 1) (- x 1))))
51.0ms	(cbrt (+ x 1))
44.0ms	(cbrt (+ x 1))

simplify683.0ms

Counts: 78 → 68

prune933.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

7.0b	(+ (+ (/ 1 (* x x)) (/ 3 x)) (/ 3 (* x (* x x))))
0.5b	(/ 1 (* x x))
0.1b	(* x (* x x))
0.1b	(/ 3 (* x (* x x)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
26×	`pow1`
23×	`*-un-lft-identity` `add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`times-frac` `prod-exp` `add-log-exp`
8×	`distribute-lft-out`
7×	`div-exp` `cbrt-unprod`
6×	`fma-def` `pow-prod-up` `div-inv` `pow-flip` `associate-/l*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow-prod-down` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `associate-l`
2×	`pow2` `rec-exp` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `pow-plus` `distribute-rgt-out` `1-exp` `pow-sqr` `flip-+`
1×	`+-commutative` `associate-+l+` `cube-unmult` `associate-r` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

Slowest

163.0ms	(+ (+ (/ 1 (* x x)) (/ 3 x)) (/ 3 (* x (* x x))))
25.0ms	(/ 3 (* x (* x x)))
18.0ms	(* x (* x x))
9.0ms	(/ 1 (* x x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(/ 3 (* x (* x x)))
48.0ms	(* x (* x x))
45.0ms	(+ (+ (/ 1 (* x x)) (/ 3 x)) (/ 3 (* x (* x x))))
19.0ms	(/ 1 (* x x))

simplify586.0ms

Counts: 133 → 129

prune965.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 29.7b

bsearch220.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

850.0ms	1261×	body	640	valid
747.0ms	1693×	body	1280	valid
394.0ms	4120×	body	80	valid
175.0ms	617×	body	320	valid
73.0ms	309×	body	160	valid