Details

sample67.0ms

Algorithm

intervals

Results

24.0ms	61×	body	640	valid
13.0ms	45×	body	320	valid
13.0ms	130×	body	80	valid
4.0ms	20×	body	160	valid

simplify18.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize17.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

850×	`*-un-lft-identity`
783×	`times-frac`
710×	`add-sqr-sqrt`
486×	`prod-diff`
454×	`add-cube-cbrt`
125×	`difference-of-squares`
98×	`associate-/r/`
94×	`distribute-lft-out`
81×	`distribute-lft-out--`
58×	`difference-of-sqr-1`
52×	`div-inv`
30×	`flip-+`
29×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
11×	`associate-/r*` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 638

Calls

3 calls:

Slowest

98.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
17.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (+ x 1))

series141.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

105.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
21.0ms	(/ 1 (+ x 1))
15.0ms	(/ 1 (- x 1))

simplify1.3s

Counts: 647 → 647

prune7.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

21.2b	(cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))))
3.4b	(- (/ 1 (+ x 1)) (cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.0b	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

293×	`add-exp-log`
237×	`*-un-lft-identity`
232×	`add-sqr-sqrt`
205×	`times-frac`
148×	`prod-exp`
125×	`add-cube-cbrt`
114×	`div-exp`
72×	`prod-diff`
59×	`pow1`
57×	`rec-exp` `add-cbrt-cube` `1-exp`
54×	`associate-r`
41×	`swap-sqr`
39×	`difference-of-squares`
31×	`pow-prod-up`
29×	`pow-flip` `inv-pow`
28×	`associate-l`
23×	`distribute-lft-out--`
22×	`cbrt-unprod`
21×	`difference-of-sqr-1`
20×	`cbrt-div` `associate-/r/`
19×	`cbrt-prod` `frac-times` `associate-*l/`
18×	`fma-neg`
17×	`cbrt-undiv`
15×	`distribute-lft-out`
13×	`div-inv`
12×	`unswap-sqr`
10×	`pow-prod-down` `associate-*r/` `un-div-inv` `frac-sub`
9×	`pow-sqr`
7×	`pow-plus`
6×	`flip3--` `flip--` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow2`
2×	`pow3` `*-commutative`
1×	`sub-neg` `pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 450

Calls

4 calls:

Slowest

99.0ms	(cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))))
99.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
79.0ms	(- (/ 1 (+ x 1)) (cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))))
65.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(- (/ 1 (+ x 1)) (cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))))
40.0ms	(cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))))
35.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
20.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify771.0ms

Counts: 462 → 462

prune4.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 2 (pow x 4))
0.1b	(/ 2 (* x x))
0.1b	(/ 2 (pow x 6))
0.0b	(+ (+ (/ 2 (pow x 4)) (/ 2 (pow x 6))) (/ 2 (* x x)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
51×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`add-exp-log`
15×	`associate-/r*`
13×	`add-cbrt-cube`
10×	`distribute-lft-out`
9×	`associate-/l*` `add-log-exp`
8×	`fma-def` `div-exp` `div-inv` `sqr-pow`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `sum-log` `frac-2neg`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`
1×	`+-commutative` `associate-+l+` `prod-exp` `cbrt-unprod`

Counts

4 → 150

Calls

4 calls:

Slowest

150.0ms	(+ (+ (/ 2 (pow x 4)) (/ 2 (pow x 6))) (/ 2 (* x x)))
10.0ms	(/ 2 (* x x))
9.0ms	(/ 2 (pow x 4))
5.0ms	(/ 2 (pow x 6))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(/ 2 (pow x 6))
70.0ms	(+ (+ (/ 2 (pow x 4)) (/ 2 (pow x 6))) (/ 2 (* x x)))
45.0ms	(/ 2 (pow x 4))
30.0ms	(/ 2 (* x x))

simplify740.0ms

Counts: 162 → 162

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 2 x) x)
0.1b	(/ 2 (pow x 4))
0.1b	(/ 2 (pow x 6))
0.0b	(+ (+ (/ 2 (pow x 4)) (/ 2 (pow x 6))) (/ (/ 2 x) x))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
100×	`*-un-lft-identity`
81×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`add-exp-log` `associate-/l*`
17×	`associate-/r*`
13×	`add-cbrt-cube`
10×	`distribute-lft-out`
9×	`div-exp` `div-inv` `add-log-exp`
8×	`fma-def` `sqr-pow`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow1` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `sum-log` `frac-2neg`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`
1×	`+-commutative` `associate-+l+` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

Slowest

141.0ms	(+ (+ (/ 2 (pow x 4)) (/ 2 (pow x 6))) (/ (/ 2 x) x))
14.0ms	(/ (/ 2 x) x)
6.0ms	(/ 2 (pow x 4))
5.0ms	(/ 2 (pow x 6))

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(/ 2 (pow x 6))
68.0ms	(/ 2 (pow x 4))
53.0ms	(+ (+ (/ 2 (pow x 4)) (/ 2 (pow x 6))) (/ (/ 2 x) x))
49.0ms	(/ (/ 2 x) x)

simplify800.0ms

Counts: 211 → 211

prune3.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

98.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 28.7b

bsearch189.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

682.0ms	1843×	body	640	valid
404.0ms	4271×	body	80	valid
321.0ms	1248×	body	320	valid
192.0ms	638×	body	160	valid