Details

sample129.0ms

Algorithm

intervals

Results

58.0ms	108×	body	1280	valid
31.0ms	85×	body	640	valid
16.0ms	281×	body	80	valid
9.0ms	37×	body	320	valid
3.0ms	24×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize12.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (- x)))

rewrite18.0ms

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:

17.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify1.3s

Counts

32 → 32

Iterations

Iter	Nodes
done	2102
4	2102
3	1173
2	419
1	171
0	74

prune278.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (pow x 5) 1/60)
0.3b	(* 1/3 x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

13.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series100.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (pow x 5) 1/60)
27.0ms	(* 1/3 x)

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	2005
4	2005
3	1193
2	406
1	167
0	79

prune565.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (exp x))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

5.0ms	(/ -1 (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ -1 (exp x))
106.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

simplify914.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	2034
4	2034
3	1111
2	412
1	163
0	82

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x))))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

rewrite2.0ms

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:

1.0ms	(cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x))))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x))))
88.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))
121.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))
107.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

simplify789.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2005
4	2005
3	954
2	296
1	124
0	61

prune385.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.5s	3279×	body	1280	valid
1.2s	2560×	body	640	valid
719.0ms	8293×	body	80	valid
312.0ms	1231×	body	320	valid
104.0ms	671×	body	160	valid