Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	58×	body	640	valid
8.0ms	137×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	24×	body	160	valid

simplify22.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

22.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize33.0ms

Local error

Found 2 expressions with local error:

2.7b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

370×	`*-un-lft-identity`
366×	`times-frac`
277×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
37×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 327

Calls

2 calls:

Slowest

55.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms	(/ 1 (+ x 1))

series45.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

31.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms	(/ 1 (+ x 1))

simplify1.1m

Counts

563 → 333

Calls

563 calls:

Slowest

653.0ms	(fma (/ 1 1) (/ 1 (+ x 1)) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
415.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))))
414.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
407.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (sqrt 1) x) (/ (sqrt 1) 1))))
405.0ms	(fma (/ (sqrt 1) (sqrt (+ x 1))) (/ (sqrt 1) (sqrt (+ x 1))) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))

prune2.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ -1 (fma x x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

4.0ms

(/ -1 (fma x x x))

series34.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

34.0ms

(/ -1 (fma x x x))

simplify1.6s

Counts

28 → 33

Calls

28 calls:

Slowest

340.0ms	(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
309.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
256.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
100.0ms	(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
70.0ms	(/ (sqrt -1) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

14.8b	(cbrt (/ -1 (fma x x x)))
14.8b	(cbrt (/ -1 (fma x x x)))
14.8b	(cbrt (/ -1 (fma x x x)))
0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

Slowest

11.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
5.0ms	(cbrt (/ -1 (fma x x x)))
2.0ms	(cbrt (/ -1 (fma x x x)))
2.0ms	(cbrt (/ -1 (fma x x x)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
88.0ms	(cbrt (/ -1 (fma x x x)))
86.0ms	(cbrt (/ -1 (fma x x x)))
80.0ms	(cbrt (/ -1 (fma x x x)))

simplify8.1s

Counts

152 → 168

Calls

152 calls:

Slowest

275.0ms	(- (+ (* 5/9 (* (pow (/ 1 (pow x 10)) 1/3) (pow (cbrt -1) 2))) (* (pow (/ 1 (pow x 4)) 1/3) (pow (cbrt -1) 2))) (* 2/3 (* (pow (/ 1 (pow x 7)) 1/3) (pow (cbrt -1) 2))))
249.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
242.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
222.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
216.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

15.3b	(cbrt (fma x x x))
14.8b	(cbrt (/ -1 (fma x x x)))
14.8b	(cbrt (/ -1 (fma x x x)))
0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
75×	`add-sqr-sqrt`
60×	`times-frac`
51×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
6×	`cbrt-div` `add-exp-log` `div-inv`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 145

Calls

4 calls:

Slowest

22.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
3.0ms	(cbrt (/ -1 (fma x x x)))
3.0ms	(cbrt (/ -1 (fma x x x)))
1.0ms	(cbrt (fma x x x))

series388.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
100.0ms	(cbrt (/ -1 (fma x x x)))
90.0ms	(cbrt (/ -1 (fma x x x)))
73.0ms	(cbrt (fma x x x))

simplify7.7s

Counts

141 → 157

Calls

141 calls:

Slowest

266.0ms	(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
231.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
228.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
224.0ms	(- (+ (* 5/9 (* (pow (/ 1 (pow x 10)) 1/3) (pow (cbrt -1) 2))) (* (pow (/ 1 (pow x 4)) 1/3) (pow (cbrt -1) 2))) (* 2/3 (* (pow (/ 1 (pow x 7)) 1/3) (pow (cbrt -1) 2))))
223.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

968.0ms	1848×	body	640	valid
335.0ms	1252×	body	320	valid
323.0ms	4313×	body	80	valid
79.0ms	588×	body	160	valid