Details

sample76.0ms

Algorithm

intervals

Results

24.0ms	69×	body	1280	valid
20.0ms	76×	body	10240	exit
14.0ms	56×	body	640	valid
5.0ms	91×	body	80	valid
4.0ms	24×	body	320	valid
2.0ms	17×	body	160	valid

simplify9.0ms

Calls

1 calls:

Slowest

9.0ms

(/ (exp x) (- (exp x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize14.0ms

Local error

Found 2 expressions with local error:

4.1b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`times-frac`
11×	`*-un-lft-identity` `add-cube-cbrt`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `add-cbrt-cube`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

11.0ms	(/ (exp x) (- (exp x) 1))
6.0ms	(- (exp x) 1)

series45.0ms

Calls

2 calls:

Slowest

24.0ms	(- (exp x) 1)
21.0ms	(/ (exp x) (- (exp x) 1))

simplify1.1s

Calls

41 calls:

Slowest

339.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
120.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
65.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
57.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
37.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) 1))

prune366.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1/12 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `-commutative` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(* 1/12 x)

series11.0ms

Calls

1 calls:

Slowest

11.0ms

(* 1/12 x)

simplify15.0ms

Calls

3 calls:

Slowest

5.0ms	(* 1/12 x)
5.0ms	(* 1/12 x)
4.0ms	(* 1/12 x)

prune101.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 1/12 x))
0.6b	(cbrt (* 1/12 x))
0.6b	(cbrt (* 1/12 x))
0.5b	(* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
7×	`pow1/3`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
5×	`cbrt-prod`
4×	`add-cbrt-cube` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))
1.0ms	(cbrt (* 1/12 x))
1.0ms	(cbrt (* 1/12 x))
1.0ms	(cbrt (* 1/12 x))

series1.1s

Calls

4 calls:

Slowest

326.0ms	(* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))
280.0ms	(cbrt (* 1/12 x))
273.0ms	(cbrt (* 1/12 x))
259.0ms	(cbrt (* 1/12 x))

simplify286.0ms

Calls

31 calls:

Slowest

28.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1/12) 2))
24.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt 1/12) 2))
21.0ms	(* (* 1/12 x) (* 1/12 x))
21.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt 1/12) 2))
20.0ms	(* (* 1/12 x) (* 1/12 x))

prune505.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

59.1b	(posit16->real (real->posit16 (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))))
0.6b	(cbrt (* 1/12 x))
0.6b	(cbrt (* 1/12 x))
0.6b	(cbrt (* 1/12 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`remove-posit16`

Calls

4 calls:

Slowest

1.0ms	(cbrt (* 1/12 x))
1.0ms	(cbrt (* 1/12 x))
1.0ms	(cbrt (* 1/12 x))
0.0ms	(posit16->real (real->posit16 (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))))

series1.2s

Calls

4 calls:

Slowest

377.0ms	(posit16->real (real->posit16 (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))))
330.0ms	(cbrt (* 1/12 x))
271.0ms	(cbrt (* 1/12 x))
247.0ms	(cbrt (* 1/12 x))

simplify162.0ms

Calls

16 calls:

Slowest

21.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1/12) 2))
20.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt 1/12) 2))
20.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt 1/12) 2))
18.0ms	(* (pow (* x -1) 1/3) (cbrt -1/12))
16.0ms	(* (pow (* x -1) 1/3) (cbrt -1/12))

prune948.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes123.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 21.2b

bsearch36.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

938.0ms	2561×	body	10240	exit
796.0ms	2267×	body	1280	valid
705.0ms	1646×	body	640	valid
161.0ms	832×	body	320	valid
158.0ms	2844×	body	80	valid
44.0ms	412×	body	160	valid