Details

sample44.0ms

Algorithm

intervals

Results

18.0ms	68×	body	640	valid
7.0ms	127×	body	80	valid
7.0ms	42×	body	320	valid
3.0ms	19×	body	160	valid

simplify32.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize11.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite82.0ms

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

50.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms	(/ 1 (+ x 1))

series64.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
24.0ms	(/ 1 (+ x 1))

simplify1.1m

Counts

563 → 333

Calls

563 calls:

Slowest

698.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))))
452.0ms	(fma (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x 1)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x)))))
447.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
417.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
390.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))))

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ -1 (fma x x x))

rewrite8.0ms

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

7.0ms

(/ -1 (fma x x x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

45.0ms

(/ -1 (fma x x x))

simplify1.5s

Counts

28 → 33

Calls

28 calls:

Slowest

300.0ms	(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
286.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
275.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
91.0ms	(- 1 (+ x (/ 1 x)))
67.0ms	(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune215.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (/ -1 (fma x x x)))
16.6b	(cbrt (/ -1 (fma x x x)))
16.6b	(cbrt (/ -1 (fma x x x)))
0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite36.0ms

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

23.0ms	(* (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)))
3.0ms	(cbrt (/ -1 (fma x x x)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
91.0ms	(cbrt (/ -1 (fma x x x)))
90.0ms	(cbrt (/ -1 (fma x x x)))
83.0ms	(cbrt (/ -1 (fma x x x)))

simplify7.8s

Counts

152 → 168

Calls

152 calls:

Slowest

238.0ms	(- (+ (* 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))))
227.0ms	(- (+ (* 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))))
225.0ms	(- (+ (* 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))))
221.0ms	(- (+ (* 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))))
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))))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt (fma x x x))
16.6b	(cbrt (/ -1 (fma x x x)))
16.6b	(cbrt (/ -1 (fma x x x)))
0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite28.0ms

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

19.0ms	(* (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)))
2.0ms	(cbrt (fma x x x))

series378.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
110.0ms	(cbrt (/ -1 (fma x x x)))
98.0ms	(cbrt (/ -1 (fma x x x)))
60.0ms	(cbrt (fma x x x))

simplify7.7s

Counts

141 → 157

Calls

141 calls:

Slowest

293.0ms	(- (+ (* 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))))
263.0ms	(- (+ (* 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))))
252.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
251.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
243.0ms	(- (+ (* 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))))

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

632.0ms	1920×	body	640	valid
388.0ms	4196×	body	80	valid
293.0ms	1287×	body	320	valid
112.0ms	599×	body	160	valid