Details

sample97.0ms

Algorithm

intervals

Results

38.0ms	112×	body	1280	valid
18.0ms	248×	body	80	valid
17.0ms	76×	body	640	valid
5.0ms	39×	body	320	valid
2.0ms	22×	body	160	valid

simplify28.0ms

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: 58.4b

localize19.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) (exp (- x)))

rewrite29.0ms

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:

27.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify672.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	671
1	170
0	73

prune131.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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))

rewrite13.0ms

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))

series134.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
53.0ms	(* 1/3 (pow x 3))

simplify3.3s

Counts

49 → 49

Iterations

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

prune296.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series236.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(fma (* x x) 1/3 2)
71.0ms	(fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))
93.0ms	(* 1/60 (pow x 5))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	2745
2	512
1	170
0	85

prune378.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) 2)
6.3b	(- (pow (exp x) 2) (exp (* x -2)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 137

Calls

3 calls:

105.0ms	(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
7.0ms	(pow (exp x) 2)
47.0ms	(- (pow (exp x) 2) (exp (* x -2)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
24.0ms	(pow (exp x) 2)
64.0ms	(- (pow (exp x) 2) (exp (* x -2)))

simplify1.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	2240
1	563
0	225

prune631.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	3286×	body	1280	valid
1.2s	2512×	body	640	valid
492.0ms	8161×	body	80	valid
235.0ms	1280×	body	320	valid
73.0ms	658×	body	160	valid