Details

sample110.0ms

Algorithm

intervals

Results

53.0ms	113×	body	1280	valid
22.0ms	71×	body	640	valid
11.0ms	217×	body	80	valid
9.0ms	48×	body	320	valid
2.0ms	15×	body	160	valid

simplify53.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize18.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

16.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify1.5s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	1932
3	723
2	277
1	111
0	47

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

66.0ms	(* x (+ (* 1/3 (* x x)) 2))
11.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (* x x))

series224.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(* x (+ (* 1/3 (* x x)) 2))
72.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (* x x))

simplify1.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5003
2	1248
1	359
0	122

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

10.0ms	(* 1/60 (pow x 5))
44.0ms	(* x (* 1/3 (* x x)))
26.0ms	(* 1/3 (* x x))

series132.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* 1/60 (pow x 5))
44.0ms	(* x (* 1/3 (* x x)))
29.0ms	(* 1/3 (* x x))

simplify2.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	3329
2	803
1	259
0	104

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (exp x) (exp (- x))))
0.0b	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
35×	`sqrt-prod`
33×	`*-un-lft-identity`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
12×	`swap-sqr`
9×	`sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l` `add-log-exp`
7×	`difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

21.0ms	(sqrt (- (exp x) (exp (- x))))
115.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
18.0ms	(- (exp x) (exp (- x)))
18.0ms	(- (exp x) (exp (- x)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (- (exp x) (exp (- x))))
52.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
52.0ms	(- (exp x) (exp (- x)))
42.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
3	1874
2	628
1	265
0	126

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s	3398×	body	1280	valid
756.0ms	2462×	body	640	valid
386.0ms	8202×	body	80	valid
254.0ms	1246×	body	320	valid
74.0ms	623×	body	160	valid