Details

sample93.0ms

Algorithm

intervals

Results

31.0ms	68×	body	1280	valid
25.0ms	69×	body	10240	exit
16.0ms	50×	body	640	valid
6.0ms	100×	body	80	valid
5.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid

simplify21.0ms

Calls

1 calls:

Slowest

21.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize15.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (exp x) 1)
0.3b	(/ (exp x) (- (exp x) 1))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `add-cbrt-cube`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

14.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series49.0ms

Calls

2 calls:

Slowest

31.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

simplify1.3s

Calls

43 calls:

Slowest

375.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
238.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
60.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
50.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
45.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune409.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (exp x) (expm1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

8.0ms

(/ (exp x) (expm1 x))

series36.0ms

Calls

1 calls:

Slowest

36.0ms

(/ (exp x) (expm1 x))

simplify602.0ms

Calls

28 calls:

Slowest

186.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
63.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) 1)
58.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
46.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
28.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x)))

prune287.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x 1/12 (+ 1/2 (/ 1 x)))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(fma x 1/12 (+ 1/2 (/ 1 x)))

series9.0ms

Calls

1 calls:

Slowest

9.0ms

(fma x 1/12 (+ 1/2 (/ 1 x)))

simplify103.0ms

Calls

3 calls:

Slowest

38.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
37.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
27.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune81.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

60.1b	(posit16->real (real->posit16 (fma x 1/12 (+ 1/2 (/ 1 x)))))
0.1b	(fma x 1/12 (+ 1/2 (/ 1 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`fma-udef` `remove-posit16`

Calls

2 calls:

Slowest

0.0ms	(posit16->real (real->posit16 (fma x 1/12 (+ 1/2 (/ 1 x)))))
0.0ms	(fma x 1/12 (+ 1/2 (/ 1 x)))

series15.0ms

Calls

2 calls:

Slowest

8.0ms	(posit16->real (real->posit16 (fma x 1/12 (+ 1/2 (/ 1 x)))))
7.0ms	(fma x 1/12 (+ 1/2 (/ 1 x)))

simplify169.0ms

Calls

6 calls:

Slowest

43.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
28.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
25.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
25.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
23.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune288.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes42.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	2445×	body	10240	exit
1.1s	2326×	body	1280	valid
493.0ms	1643×	body	640	valid
238.0ms	2826×	body	80	valid
178.0ms	807×	body	320	valid
52.0ms	399×	body	160	valid