Details

sample111.0ms

Algorithm

intervals

Results

53.0ms	117×	body	1280	valid
21.0ms	71×	body	640	valid
15.0ms	280×	body	80	valid
8.0ms	42×	body	320	valid
2.0ms	19×	body	160	valid

simplify62.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize16.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) (exp (- x)))

rewrite23.0ms

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

22.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

54.0ms

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

simplify1.7s

Counts: 32 → 32

prune175.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

Slowest

6.0ms	(* (fma 1/3 (* x x) 2) x)
0.0ms	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))
0.0ms	(fma 1/3 (* x x) 2)

series267.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

120.0ms	(* (fma 1/3 (* x x) 2) x)
79.0ms	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))
67.0ms	(fma 1/3 (* x x) 2)

simplify4.1s

Counts: 52 → 52

prune393.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))) (sqrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))))
0.0b	(* (fma 1/3 (* x x) 2) x)
0.0b	(* (fma 1/3 (* x x) 2) x)
0.0b	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
23×	`pow1`
18×	`sqrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `associate-l`
10×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `fma-udef`

Counts

4 → 105

Calls

4 calls:

Slowest

20.0ms	(* (sqrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))) (sqrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))))
11.0ms	(* (fma 1/3 (* x x) 2) x)
11.0ms	(* (fma 1/3 (* x x) 2) x)
0.0ms	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))

series758.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

475.0ms	(* (fma 1/3 (* x x) 2) x)
126.0ms	(* (fma 1/3 (* x x) 2) x)
82.0ms	(* (sqrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))) (sqrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))))
76.0ms	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))

simplify743.0ms

Counts: 117 → 117

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
0.6b	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
0.6b	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
0.5b	(* (cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))) (cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

15.0ms	(* (cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))) (cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))))
1.0ms	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
1.0ms	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
1.0ms	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))

series943.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

274.0ms	(* (cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))) (cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))))
232.0ms	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
221.0ms	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))
217.0ms	(cbrt (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)))

simplify1.3s

Counts: 97 → 97

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.3s	3427×	body	1280	valid
1.5s	2472×	body	640	valid
675.0ms	8268×	body	80	valid
353.0ms	1198×	body	320	valid
130.0ms	650×	body	160	valid