Details

sample136.0ms

Algorithm

intervals

Results

64.0ms	114×	body	1280	valid
29.0ms	77×	body	640	valid
16.0ms	234×	body	80	valid
10.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

18.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.1s

Counts

32 → 32

Iterations

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

prune101.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* 1/3 x) x 2)
0.0b	(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
0.1b	(* (pow x 5) 1/60)
0.3b	(* 1/3 x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

0.0ms	(fma (* 1/3 x) x 2)
0.0ms	(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
14.0ms	(* (pow x 5) 1/60)
9.0ms	(* 1/3 x)

series266.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma (* 1/3 x) x 2)
86.0ms	(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
75.0ms	(* (pow x 5) 1/60)
25.0ms	(* 1/3 x)

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	2008
4	2008
3	1845
2	548
1	225
0	112

prune446.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (fma (* 1/3 x) x 2)))
0.1b	(* (pow x 5) 1/60)
0.3b	(* 1/3 x)
1.0b	(log1p (fma (* 1/3 x) x 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

0.0ms	(expm1 (log1p (fma (* 1/3 x) x 2)))
13.0ms	(* (pow x 5) 1/60)
8.0ms	(* 1/3 x)
1.0ms	(log1p (fma (* 1/3 x) x 2))

series987.0ms

Counts

4 → 12

Calls

4 calls:

792.0ms	(expm1 (log1p (fma (* 1/3 x) x 2)))
68.0ms	(* (pow x 5) 1/60)
18.0ms	(* 1/3 x)
109.0ms	(log1p (fma (* 1/3 x) x 2))

simplify812.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2013
3	2013
2	850
1	313
0	145

prune419.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ -1 x) (/ -1 x))
0.5b	(/ 1/3 (* (/ -1 x) (/ -1 x)))
0.5b	(/ 1/3 (* (/ -1 x) (/ -1 x)))
30.1b	(/ (/ 1/3 (* (/ -1 x) (/ -1 x))) (* x x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-cbrt-cube` `add-exp-log`
62×	`times-frac`
52×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
40×	`*-un-lft-identity` `add-cube-cbrt`
26×	`prod-exp` `cbrt-unprod`
16×	`associate-/l*`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`associate-/r/`
11×	`pow1`
9×	`div-inv`
5×	`frac-times` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `associate-/r*` `frac-2neg`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`

Counts

4 → 195

Calls

4 calls:

12.0ms	(* (/ -1 x) (/ -1 x))
10.0ms	(/ 1/3 (* (/ -1 x) (/ -1 x)))
13.0ms	(/ 1/3 (* (/ -1 x) (/ -1 x)))
16.0ms	(/ (/ 1/3 (* (/ -1 x) (/ -1 x))) (* x x))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (/ -1 x) (/ -1 x))
31.0ms	(/ 1/3 (* (/ -1 x) (/ -1 x)))
28.0ms	(/ 1/3 (* (/ -1 x) (/ -1 x)))
1.0ms	(/ (/ 1/3 (* (/ -1 x) (/ -1 x))) (* x x))

simplify1.1s

Counts

207 → 207

Iterations

Iter	Nodes
done	2001
2	2001
1	695
0	222

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	3394×	body	1280	valid
1.2s	2387×	body	640	valid
1.1s	8246×	body	80	valid
336.0ms	1267×	body	320	valid
150.0ms	674×	body	160	valid