Details

sample121.0ms

Algorithm

intervals

Results

53.0ms	116×	body	1280	valid
33.0ms	82×	body	640	valid
14.0ms	267×	body	80	valid
6.0ms	34×	body	320	valid
3.0ms	20×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize12.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) (exp (- x)))

rewrite13.0ms

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

13.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

39.0ms

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

simplify1.9s

Counts: 32 → 32

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (fma 1/3 (* x x) 2) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

Slowest

7.0ms

(* (fma 1/3 (* x x) 2) x)

series89.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

89.0ms

(* (fma 1/3 (* x x) 2) x)

simplify2.0s

Counts: 24 → 24

prune222.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))
0.4b	(* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

Slowest

42.0ms	(* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) x))
1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))

series551.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(cbrt (fma 1/3 (* x x) 2))
154.0ms	(cbrt (fma 1/3 (* x x) 2))
145.0ms	(cbrt (fma 1/3 (* x x) 2))
85.0ms	(* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) x))

simplify974.0ms

Counts: 79 → 79

prune584.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))

series586.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(cbrt (fma 1/3 (* x x) 2))
164.0ms	(cbrt (fma 1/3 (* x x) 2))
132.0ms	(cbrt (fma 1/3 (* x x) 2))
126.0ms	(cbrt (fma 1/3 (* x x) 2))

simplify1.1s

Counts: 68 → 68

prune664.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch1.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	3313×	body	1280	valid
1.1s	2512×	body	640	valid
773.0ms	8255×	body	80	valid
737.0ms	1250×	body	320	valid
110.0ms	636×	body	160	valid