Details

sample53.0ms

Algorithm

intervals

Results

15.0ms	61×	body	1280	valid
10.0ms	122×	body	80	valid
8.0ms	44×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify8.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	3495
7	880
6	223
5	97
4	48
3	27
2	20
1	15
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize15.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

156.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series167.0ms

Counts

1 → 3

Calls

1 calls:

167.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify4.8s

Counts

19 → 19

Iterations

Iter	Nodes
done	5002
4	2759
3	718
2	270
1	120
0	56

prune217.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* 0.33333333333333337 (* x x))
0.7b	(* (* (* x x) (* x x)) 5.551115123125783e-17)
7.5b	(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* (* x x) (* x x)) 5.551115123125783e-17))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

138×	`pow1`
39×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
36×	`pow-prod-up`
24×	`prod-exp` `cbrt-unprod`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`associate-r` `associate-l`
4×	`associate--l+` `insert-posit16`
3×	`sub-neg` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`flip3--` `diff-log` `swap-sqr` `flip--`

Counts

4 → 130

Calls

4 calls:

58.0ms	(* (* x x) (* x x))
30.0ms	(* 0.33333333333333337 (* x x))
189.0ms	(* (* (* x x) (* x x)) 5.551115123125783e-17)
77.0ms	(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* (* x x) (* x x)) 5.551115123125783e-17))

series249.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* x x) (* x x))
41.0ms	(* 0.33333333333333337 (* x x))
62.0ms	(* (* (* x x) (* x x)) 5.551115123125783e-17)
83.0ms	(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* (* x x) (* x x)) 5.551115123125783e-17))

simplify3.8s

Counts

142 → 142

Iterations

Iter	Nodes
done	5003
2	1242
1	413
0	136

prune713.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.33333333333333337) (* (* x x) 5.551115123125783e-17))
0.1b	(* (* x x) (+ (* x 0.33333333333333337) (* (* x x) 5.551115123125783e-17)))
1.3b	(* (* x x) 5.551115123125783e-17)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`insert-posit16`
2×	`flip3-+` `associate-l` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 56

Calls

3 calls:

22.0ms	(+ (* x 0.33333333333333337) (* (* x x) 5.551115123125783e-17))
70.0ms	(* (* x x) (+ (* x 0.33333333333333337) (* (* x x) 5.551115123125783e-17)))
49.0ms	(* (* x x) 5.551115123125783e-17)

series360.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (* x 0.33333333333333337) (* (* x x) 5.551115123125783e-17))
200.0ms	(* (* x x) (+ (* x 0.33333333333333337) (* (* x x) 5.551115123125783e-17)))
33.0ms	(* (* x x) 5.551115123125783e-17)

simplify3.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5003
2	1195
1	288
0	92

prune578.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes944.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.9b

bsearch3.0ms

simplify40.0ms

Iterations

Iter	Nodes
done	59
3	59
2	49
1	40
0	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	1702×	body	1280	valid
355.0ms	1285×	body	640	valid
209.0ms	4092×	body	80	valid
92.0ms	602×	body	320	valid
32.0ms	319×	body	160	valid