Details

sample114.0ms

Algorithm

intervals

Results

48.0ms	100×	body	1280	valid
23.0ms	82×	body	640	valid
12.0ms	256×	body	80	valid
9.0ms	45×	body	320	valid
2.0ms	18×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize19.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) (exp (- x)))

rewrite51.0ms

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:

50.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify730.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	671
1	170
0	73

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
11.0ms	(* 1/3 (pow x 3))

series114.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
40.0ms	(* 1/3 (pow x 3))

simplify4.0s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	4440
2	558
1	170
0	74

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) 2)
5.5b	(- (pow (exp x) 2) (exp (* x -2)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
38×	`add-cube-cbrt`
32×	`times-frac`
24×	`prod-diff` `difference-of-squares`
21×	`unpow-prod-down`
11×	`unpow2` `sqr-pow`
10×	`distribute-lft-out`
8×	`fma-neg` `associate-/l*` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-def`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-exp` `div-inv`

Counts

4 → 154

Calls

4 calls:

19.0ms	(+ (exp x) (exp (- x)))
121.0ms	(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
7.0ms	(pow (exp x) 2)
27.0ms	(- (pow (exp x) 2) (exp (* x -2)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (exp x) (exp (- x)))
143.0ms	(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
17.0ms	(pow (exp x) 2)
85.0ms	(- (pow (exp x) 2) (exp (* x -2)))

simplify1.8s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
2	2377
1	606
0	240

prune740.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-l`
8×	`add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`expm1-log1p-u` `pow1` `associate-r` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 2 x (fma (pow x 5) 1/60 (* (pow x 3) 1/3)))
0.0ms	(fma (pow x 5) 1/60 (* (pow x 3) 1/3))
25.0ms	(* (pow x 3) 1/3)

series354.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(fma 2 x (fma (pow x 5) 1/60 (* (pow x 3) 1/3)))
213.0ms	(fma (pow x 5) 1/60 (* (pow x 3) 1/3))
71.0ms	(* (pow x 3) 1/3)

simplify462.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	618
1	162
0	81

prune325.0ms

Pruning

3 alts after pruning (2 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	14
1	14
0	13

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.2s	3453×	body	1280	valid
1.0s	2426×	body	640	valid
520.0ms	8001×	body	80	valid
239.0ms	1235×	body	320	valid
71.0ms	607×	body	160	valid