Details

sample191.0ms

Algorithm

intervals

Results

79.0ms	102×	body	1280	valid
40.0ms	78×	body	640	valid
26.0ms	292×	body	80	valid
25.0ms	46×	body	320	valid
5.0ms	22×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	36
6	36
5	35
4	33
3	29
2	22
1	14
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize21.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) (exp (- x)))

rewrite34.0ms

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:

33.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify3.1s

Counts

32 → 32

Iterations

Iter	Nodes
4	3839
3	1106
2	406
1	169
0	74

prune326.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

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

series224.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
109.0ms	(* (fma (* 1/3 x) x 2) x)
30.0ms	(* 1/3 x)

simplify3.1s

Counts

62 → 62

Iterations

Iter	Nodes
4	5891
3	1328
2	379
1	157
0	82

prune658.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

9.0ms	(* (cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))) (cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))))
1.0ms	(cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x)))
1.0ms	(cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x)))
1.0ms	(cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x)))

series931.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))) (cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))))
229.0ms	(cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x)))
213.0ms	(cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x)))
222.0ms	(cbrt (fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x)))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
3	2690
2	830
1	314
0	141

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x))
0.3b	(* 1/3 x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

41.0ms	(* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x))
11.0ms	(* 1/3 x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x))
32.0ms	(* 1/3 x)

simplify7.2s

Counts

51 → 51

Iterations

Iter	Nodes
4	6361
3	1702
2	534
1	206
0	86

prune630.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.8s	3385×	body	1280	valid
1.2s	2483×	body	640	valid
747.0ms	1268×	body	320	valid
622.0ms	8062×	body	80	valid
122.0ms	623×	body	160	valid