Details

sample95.0ms

Algorithm

intervals

Results

39.0ms	106×	body	1280	valid
18.0ms	78×	body	640	valid
12.0ms	253×	body	80	valid
6.0ms	44×	body	320	valid
2.0ms	21×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	34
4	34
3	30
2	24
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

15.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify791.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	671
1	170
0	73

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 74

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (* x (+ (* (* 1/3 x) x) 2)))
69.0ms	(* x (+ (* (* 1/3 x) x) 2))
19.0ms	(* (* 1/3 x) x)
6.0ms	(* 1/3 x)

series201.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma (pow x 5) 1/60 (* x (+ (* (* 1/3 x) x) 2)))
87.0ms	(* x (+ (* (* 1/3 x) x) 2))
29.0ms	(* (* 1/3 x) x)
21.0ms	(* 1/3 x)

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1761
1	307
0	109

prune353.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (fma 2 x (* (* 1/3 x) (* x x))))
0.0ms	(fma 2 x (* (* 1/3 x) (* x x)))
21.0ms	(* (* 1/3 x) (* x x))
5.0ms	(* 1/3 x)

series273.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma (pow x 5) 1/60 (fma 2 x (* (* 1/3 x) (* x x))))
117.0ms	(fma 2 x (* (* 1/3 x) (* x x)))
59.0ms	(* (* 1/3 x) (* x x))
17.0ms	(* 1/3 x)

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	753
1	197
0	90

prune342.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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	15
1	15
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.7s	3436×	body	1280	valid
694.0ms	8294×	body	80	valid
671.0ms	2409×	body	640	valid
237.0ms	1233×	body	320	valid
66.0ms	655×	body	160	valid