Details

sample164.0ms

Algorithm

intervals

Results

68.0ms	118×	body	1280	valid
33.0ms	83×	body	640	valid
19.0ms	266×	body	80	valid
8.0ms	29×	body	320	valid
4.0ms	20×	body	160	valid

simplify86.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

86.0ms

(/ (- (exp x) (exp (- x))) 2)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize25.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (exp x) (exp (- x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

Slowest

32.0ms

(- (exp x) (exp (- x)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

49.0ms

(- (exp x) (exp (- x)))

simplify2.4s

Counts

27 → 32

Calls

27 calls:

Slowest

312.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
218.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
212.0ms	(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
159.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
154.0ms	(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune249.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
0.0b	(fma 1/3 (* x x) 2)

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` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

Slowest

0.0ms	(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
0.0ms	(fma 1/3 (* x x) 2)

series161.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

85.0ms	(fma 1/3 (* x x) 2)
77.0ms	(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify1.1s

Counts

6 → 28

Calls

6 calls:

Slowest

346.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
328.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
308.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
25.0ms	(+ (* 1/3 (pow x 2)) 2)
23.0ms	(+ (* 1/3 (pow x 2)) 2)

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

6.1b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 49

Calls

3 calls:

Slowest

10.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

125.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
13.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))

simplify700.0ms

Counts

25 → 58

Calls

25 calls:

Slowest

303.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
93.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
80.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
77.0ms	(- (exp x) (exp (* -1 x)))
29.0ms	(exp (* (cbrt x) (cbrt x)))

prune604.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

6.1b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
6.1b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
6.1b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.1b	(cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

Slowest

1.0ms	(cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series717.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))))
159.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
144.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
124.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify2.4s

Counts

15 → 59

Calls

15 calls:

Slowest

368.0ms	(pow (- (exp x) (exp (* -1 x))) 1/3)
365.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
345.0ms	(- (+ (exp (* 1/3 (+ (log 2) (log x)))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 2) (log x))))))) (* 1/3240 (* (pow x 4) (exp (* 1/3 (+ (log 2) (log x)))))))
334.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
316.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune709.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	3440×	body	1280	valid
1.0s	2459×	body	640	valid
721.0ms	8247×	body	80	valid
340.0ms	1230×	body	320	valid
124.0ms	613×	body	160	valid