Details

sample137.0ms

Algorithm

intervals

Results

67.0ms	119×	body	1280	valid
27.0ms	72×	body	640	valid
16.0ms	260×	body	80	valid
10.0ms	34×	body	320	valid
4.0ms	25×	body	160	valid

simplify107.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

107.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize23.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) (exp (- x)))

rewrite26.0ms

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

25.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

76.0ms

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

simplify2.2s

Counts

27 → 32

Calls

27 calls:

Slowest

269.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
222.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
207.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
195.0ms	(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
158.0ms	(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune243.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

Slowest

14.0ms	(* x (fma 1/3 (* x x) 2))
0.0ms	(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

117.0ms	(* x (fma 1/3 (* x x) 2))
100.0ms	(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.5s

Counts

18 → 40

Calls

18 calls:

Slowest

751.0ms	(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
347.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
329.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
278.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
194.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.1b	(* (* 1/3 (* x x)) x)
0.0b	(+ (* (* 1/3 (* x x)) x) (* 2 x))
0.0b	(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

Slowest

54.0ms	(* (* 1/3 (* x x)) x)
47.0ms	(+ (* (* 1/3 (* x x)) x) (* 2 x))
25.0ms	(* 1/3 (* x x))
0.0ms	(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(+ (* (* 1/3 (* x x)) x) (* 2 x))
70.0ms	(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
56.0ms	(* (* 1/3 (* x x)) x)
33.0ms	(* 1/3 (* x x))

simplify4.2s

Counts

36 → 85

Calls

36 calls:

Slowest

941.0ms	(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
490.0ms	(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
383.0ms	(* (exp (* (* 1/3 (* x x)) x)) (exp (* 2 x)))
321.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
310.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune877.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.7s	3372×	body	1280	valid
1.1s	2518×	body	640	valid
615.0ms	7839×	body	80	valid
362.0ms	1231×	body	320	valid
130.0ms	638×	body	160	valid