Details

sample120.0ms

Algorithm

intervals

Results

36.0ms	81×	body	10240	exit
34.0ms	64×	body	1280	valid
21.0ms	57×	body	640	valid
8.0ms	32×	body	320	valid
6.0ms	83×	body	80	valid
3.0ms	20×	body	160	valid

simplify10.0ms

Calls

1 calls:

Slowest

10.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.0b

localize25.0ms

Local error

Found 2 expressions with local error:

4.8b	(- (exp x) 1)
0.3b	(/ (exp x) (- (exp x) 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
6×	`add-exp-log`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `expm1-def` `flip3--` `div-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-inv`

Calls

2 calls:

Slowest

19.0ms	(- (exp x) 1)
17.0ms	(/ (exp x) (- (exp x) 1))

series49.0ms

Calls

2 calls:

Slowest

34.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify2.2s

Calls

90 calls:

Slowest

248.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
248.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
94.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
66.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
65.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))

prune614.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

6.0ms

(/ (exp x) (expm1 x))

series37.0ms

Calls

1 calls:

Slowest

37.0ms

(/ (exp x) (expm1 x))

simplify674.0ms

Calls

29 calls:

Slowest

384.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
44.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
30.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
30.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x)))
20.0ms	(/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x))))

prune253.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (expm1 x) (exp x))
0.0b	(/ 1 (/ (expm1 x) (exp x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
19×	`associate-/r*`
14×	`div-exp`
10×	`associate-/l*`
9×	`add-cbrt-cube` `associate-/r/`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num`
3×	`pow1` `rec-exp` `frac-2neg` `1-exp`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `remove-double-div` `add-log-exp`
1×	`div-sub` `pow-flip` `inv-pow` `expm1-udef`

Calls

2 calls:

Slowest

18.0ms	(/ 1 (/ (expm1 x) (exp x)))
5.0ms	(/ (expm1 x) (exp x))

series82.0ms

Calls

2 calls:

Slowest

44.0ms	(/ (expm1 x) (exp x))
38.0ms	(/ 1 (/ (expm1 x) (exp x)))

simplify6.1s

Calls

146 calls:

Slowest

483.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp x) (exp x)) (exp x)))
433.0ms	(/ (* (* 1 1) 1) (* (* (/ (expm1 x) (exp x)) (/ (expm1 x) (exp x))) (/ (expm1 x) (exp x))))
299.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))))
280.0ms	(- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2)))
261.0ms	(/ (sqrt 1) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))))

prune871.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

1.0ms

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

series17.0ms

Calls

1 calls:

Slowest

17.0ms

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

simplify99.0ms

Calls

3 calls:

Slowest

38.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
37.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
23.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune91.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	2615×	body	10240	exit
1.0s	2208×	body	1280	valid
467.0ms	1627×	body	640	valid
227.0ms	2939×	body	80	valid
201.0ms	780×	body	320	valid
84.0ms	448×	body	160	valid