Details

sample15.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify8.0ms

Calls

1 calls:

Slowest

8.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize7.0ms

Local error

Found 1 expressions with local error:

17.5b

(/ x (fma x x 1))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

1.0ms

(/ x (fma x x 1))

series46.0ms

Calls

1 calls:

Slowest

46.0ms

(/ x (fma x x 1))

simplify229.0ms

Calls

6 calls:

Slowest

80.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
73.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
64.0ms	(- (+ x (pow x 5)) (pow x 3))
4.0ms	(cbrt (fma x x 1))
4.0ms	(sqrt (fma x x 1))

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

17.1b	(* x (/ 1 (fma x x 1)))
0.3b	(/ 1 (fma x x 1))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
3×	`pow1` `associate-/r*` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`rec-exp` `clear-num` `frac-2neg` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Calls

2 calls:

Slowest

1.0ms	(* x (/ 1 (fma x x 1)))
1.0ms	(/ 1 (fma x x 1))

series45.0ms

Calls

2 calls:

Slowest

24.0ms	(* x (/ 1 (fma x x 1)))
21.0ms	(/ 1 (fma x x 1))

simplify486.0ms

Calls

16 calls:

Slowest

88.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
81.0ms	(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (/ 1 (pow x 4)))
79.0ms	(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (/ 1 (pow x 4)))
73.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
53.0ms	(- (+ x (pow x 5)) (pow x 3))

prune267.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

19.4b	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
0.3b	(/ 1 (pow x 5))
0.1b	(/ (/ 1 x) x)
0.1b	(/ (/ (/ 1 x) x) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`prod-diff` `add-cube-cbrt`
15×	`div-inv`
8×	`associate-/l*`
6×	`add-log-exp`
5×	`add-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `associate-/r*` `frac-2neg`
2×	`rec-exp` `distribute-lft-out--` `associate-/l/`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `frac-sub` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Calls

4 calls:

Slowest

15.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
5.0ms	(/ (/ 1 x) x)
5.0ms	(/ (/ (/ 1 x) x) x)
1.0ms	(/ 1 (pow x 5))

series109.0ms

Calls

4 calls:

Slowest

55.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
22.0ms	(/ 1 (pow x 5))
21.0ms	(/ (/ (/ 1 x) x) x)
12.0ms	(/ (/ 1 x) x)

simplify4.4s

Calls

63 calls:

Slowest

196.0ms	(- (* 1 x) (* (pow x 5) (/ (/ 1 x) x)))
180.0ms	(fma (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- (* (/ 1 x) (/ (/ 1 x) x))))
168.0ms	(fma (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (- (* (/ 1 x) (/ (/ 1 x) x))))
161.0ms	(fma 1 (/ 1 (pow x 5)) (- (* (/ 1 x) (/ (/ 1 x) x))))
158.0ms	(fma (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (- (* (/ (/ (/ 1 x) x) x) 1)))

prune968.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

21.9b	(- (/ 1 (pow x 5)) (/ (log (exp (/ (/ 1 x) x))) x))
1.2b	(log (exp (/ (/ 1 x) x)))
0.3b	(/ 1 (pow x 5))
0.1b	(/ (/ 1 x) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`prod-diff`
14×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `log-pow`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `fma-neg` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`log-prod` `associate-/r*`
2×	`rec-exp` `clear-num` `frac-2neg` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `frac-sub` `pow-flip` `flip--` `inv-pow` `difference-of-squares` `associate-/l/`

Calls

4 calls:

Slowest

26.0ms	(- (/ 1 (pow x 5)) (/ (log (exp (/ (/ 1 x) x))) x))
10.0ms	(/ (/ 1 x) x)
7.0ms	(log (exp (/ (/ 1 x) x)))
2.0ms	(/ 1 (pow x 5))

series90.0ms

Calls

4 calls:

Slowest

44.0ms	(- (/ 1 (pow x 5)) (/ (log (exp (/ (/ 1 x) x))) x))
25.0ms	(/ 1 (pow x 5))
13.0ms	(/ (/ 1 x) x)
7.0ms	(log (exp (/ (/ 1 x) x)))

simplify4.6s

Calls

67 calls:

Slowest

207.0ms	(- (* 1 x) (* (pow x 5) (log (exp (/ (/ 1 x) x)))))
204.0ms	(fma (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- (* (/ 1 x) (log (exp (/ (/ 1 x) x))))))
195.0ms	(fma (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (- (* (/ 1 x) (log (exp (/ (/ 1 x) x))))))
194.0ms	(fma (- (/ 1 x)) (log (exp (/ (/ 1 x) x))) (* (/ 1 x) (log (exp (/ (/ 1 x) x)))))
174.0ms	(fma (- (/ 1 x)) (log (exp (/ (/ 1 x) x))) (* (/ 1 x) (log (exp (/ (/ 1 x) x)))))

prune983.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.7b

bsearch93.0ms

end0.0ms

sample686.0ms

Algorithm

intervals

Results

592.0ms

8000×

body

valid