Details

sample27.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize6.0ms

Local error

Found 1 expressions with local error:

16.2b

(/ x (fma x x 1))

rewrite4.0ms

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

(/ x (fma x x 1))

series95.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

95.0ms

(/ x (fma x x 1))

simplify1.2s

Counts

28 → 33

Calls

28 calls:

Slowest

265.0ms	(- (+ x (pow x 5)) (pow x 3))
194.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
192.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
176.0ms	(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
67.0ms	(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

18.0b	(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.2b	(/ 1 (* (* x x) x))
0.1b	(/ 1 (pow x 5))
0.1b	(* (* x x) x)

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
102×	`times-frac`
70×	`add-sqr-sqrt` `prod-diff`
67×	`add-cube-cbrt`
64×	`distribute-lft-out`
57×	`div-inv`
43×	`pow1`
39×	`add-exp-log`
20×	`add-cbrt-cube`
13×	`pow-flip`
12×	`unpow-prod-down` `pow-plus` `div-exp` `prod-exp` `pow-prod-up`
10×	`fma-neg` `distribute-lft-out--`
9×	`add-log-exp`
8×	`associate-/r*`
6×	`rec-exp` `1-exp` `pow-prod-down` `cbrt-unprod` `associate-/l*`
4×	`pow2` `expm1-log1p-u` `cbrt-undiv` `pow-sqr` `insert-posit16` `log1p-expm1-u` `sqr-pow`
3×	`pow-to-exp` `associate-r` `pow-exp` `frac-sub`
2×	`clear-num` `frac-2neg` `diff-log` `pow3` `inv-pow`
1×	`sum-log` `sub-neg` `flip3-+` `flip3--` `associate-l` `frac-add` `associate--l+` `*-commutative` `flip-+` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 243

Calls

4 calls:

Slowest

179.0ms	(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
36.0ms	(/ 1 (* (* x x) x))
14.0ms	(* (* x x) x)
6.0ms	(/ 1 (pow x 5))

series239.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(/ 1 (pow x 5))
63.0ms	(* (* x x) x)
46.0ms	(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
45.0ms	(/ 1 (* (* x x) x))

simplify49.6s

Counts

280 → 255

Calls

280 calls:

Slowest

963.0ms	(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
958.0ms	(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
639.0ms	(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
529.0ms	(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))
526.0ms	(* (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 x) (/ 1 (pow x 5))))) (* (* x x) x))

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

40.0b	(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))
16.2b	(/ x (fma x x 1))
16.2b	(/ x (fma x x 1))
16.2b	(/ x (fma x x 1))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 110

Calls

4 calls:

Slowest

50.0ms	(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))
8.0ms	(/ x (fma x x 1))
8.0ms	(/ x (fma x x 1))
8.0ms	(/ x (fma x x 1))

series296.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))
81.0ms	(/ x (fma x x 1))
67.0ms	(/ x (fma x x 1))
62.0ms	(/ x (fma x x 1))

simplify5.3s

Counts

95 → 122

Calls

95 calls:

Slowest

309.0ms	(- (+ x (pow x 5)) (pow x 3))
264.0ms	(- (+ x (pow x 5)) (pow x 3))
249.0ms	(- (+ x (pow x 5)) (pow x 3))
234.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
226.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch55.0ms

end0.0ms

sample721.0ms

Algorithm

intervals

Results

602.0ms

8000×

body

valid