Details

sample28.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify9.0ms

Calls

1 calls:

Slowest

8.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize7.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ x (fma x x 1))

rewrite1.0ms

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))

series72.0ms

Calls

1 calls:

Slowest

72.0ms

(/ x (fma x x 1))

simplify268.0ms

Calls

6 calls:

Slowest

105.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
83.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
58.0ms	(- (+ x (pow x 5)) (pow x 3))
9.0ms	(cbrt (fma x x 1))
9.0ms	(sqrt (fma x x 1))

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

14.4b	(sqrt (fma x x 1))
14.4b	(sqrt (fma x x 1))
0.0b	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
0.0b	(/ x (sqrt (fma x x 1)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
24×	`times-frac` `sqrt-prod`
12×	`associate-/r*`
9×	`div-inv`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2`
1×	`cbrt-undiv` `div-exp` `associate-/l/`

Calls

4 calls:

Slowest

6.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
1.0ms	(sqrt (fma x x 1))
1.0ms	(sqrt (fma x x 1))
1.0ms	(/ x (sqrt (fma x x 1)))

series282.0ms

Calls

4 calls:

Slowest

101.0ms	(/ x (sqrt (fma x x 1)))
68.0ms	(sqrt (fma x x 1))
59.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
54.0ms	(sqrt (fma x x 1))

simplify3.2s

Calls

84 calls:

Slowest

312.0ms	(/ (* (* (/ x (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1)))) (/ x (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
187.0ms	(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))
186.0ms	(- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3))))
175.0ms	(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))
165.0ms	(- (* 1/2 (/ 1 (pow x 2))) (+ (* 3/8 (/ 1 (pow x 4))) 1))

prune891.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ (/ x 1) (fma x x 1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

12.0ms

(/ (/ x 1) (fma x x 1))

series79.0ms

Calls

1 calls:

Slowest

79.0ms

(/ (/ x 1) (fma x x 1))

simplify1.5s

Calls

34 calls:

Slowest

635.0ms	(/ (* (* (/ x 1) (/ x 1)) (/ x 1)) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
122.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
109.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
52.0ms	(/ (* (cbrt (/ x 1)) (cbrt (/ x 1))) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))
51.0ms	(- (+ x (pow x 5)) (pow x 3))

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

18.6b	(- (/ 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)

rewrite37.0ms

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

17.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
11.0ms	(/ (/ (/ 1 x) x) x)
6.0ms	(/ (/ 1 x) x)
2.0ms	(/ 1 (pow x 5))

series273.0ms

Calls

4 calls:

Slowest

145.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
64.0ms	(/ 1 (pow x 5))
40.0ms	(/ (/ (/ 1 x) x) x)
23.0ms	(/ (/ 1 x) x)

simplify3.6s

Calls

63 calls:

Slowest

173.0ms	(fma (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- (* (/ 1 x) (/ (/ 1 x) x))))
152.0ms	(fma (- (/ 1 x)) (/ (/ 1 x) x) (* (/ 1 x) (/ (/ 1 x) x)))
152.0ms	(fma 1 (/ 1 (pow x 5)) (- (* (/ (/ (/ 1 x) x) x) 1)))
141.0ms	(fma (- (/ (/ (/ 1 x) x) x)) 1 (* (/ (/ (/ 1 x) x) x) 1))
140.0ms	(fma 1 (/ 1 (pow x 5)) (- (* (/ 1 x) (/ (/ 1 x) x))))

prune802.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch118.0ms

end0.0ms

sample609.0ms

Algorithm

intervals

Results

520.0ms

8000×

body

valid