Details

sample74.0ms

Algorithm

intervals

Results

30.0ms	53×	body	1280	valid
14.0ms	51×	body	640	valid
7.0ms	124×	body	80	valid
3.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3510
6	440
5	117
4	53
3	30
2	22
1	15
0	9

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
0.0b	(pow (exp x) -2.0)
3.5b	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `pow-pow` `distribute-lft-out`
3×	`pow-unpow` `exp-prod` `unpow-prod-down` `associate-/l*`
2×	`associate-/r/` `difference-of-squares`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `pow-exp` `flip-+` `div-inv` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

3 → 68

Calls

3 calls:

24.0ms	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
4.0ms	(pow (exp x) -2.0)
155.0ms	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

series508.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ 2.0 (+ 1.0 (pow (exp x) -2.0)))
110.0ms	(pow (exp x) -2.0)
274.0ms	(- (/ 2.0 (+ 1.0 (pow (exp x) -2.0))) 1.0)

simplify614.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1085
1	326
0	140

prune406.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- 1.0 (* (* x x) 0.33333333333333337)))
0.1b	(* (* x x) 0.33333333333333337)
0.2b	(* 5.551115123125783e-17 (pow x 4))
8.6b	(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (pow x 4)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`sub-neg` `cbrt-unprod` `unswap-sqr`
4×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `pow-prod-down` `associate--l+`
3×	`*-commutative`
2×	`flip3--` `associate-*r/` `flip--` `sqr-pow`
1×	`pow-to-exp` `diff-log` `pow-exp`

Counts

4 → 84

Calls

4 calls:

13.0ms	(* x (- 1.0 (* (* x x) 0.33333333333333337)))
15.0ms	(* (* x x) 0.33333333333333337)
15.0ms	(* 5.551115123125783e-17 (pow x 4))
19.0ms	(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (pow x 4)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* x (- 1.0 (* (* x x) 0.33333333333333337)))
51.0ms	(* (* x x) 0.33333333333333337)
72.0ms	(* 5.551115123125783e-17 (pow x 4))
98.0ms	(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (pow x 4)))

simplify2.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2410
1	386
0	145

prune365.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (pow (exp -2.0) x)))
0.0b	(pow (exp -2.0) x)
3.5b	(log (exp (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
3.5b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
14×	`times-frac`
9×	`exp-prod`
7×	`log-pow`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`log-prod`
4×	`associate-/r*` `pow-pow` `distribute-lft-out` `difference-of-squares`
3×	`pow-unpow` `unpow-prod-down` `associate-/l*`
2×	`sub-neg` `exp-sum` `associate-/r/` `distribute-lft-out--`
1×	`pow-to-exp` `cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv` `flip--` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

33.0ms	(/ 2.0 (+ 1.0 (pow (exp -2.0) x)))
4.0ms	(pow (exp -2.0) x)
281.0ms	(log (exp (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
103.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

series800.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ 2.0 (+ 1.0 (pow (exp -2.0) x)))
37.0ms	(pow (exp -2.0) x)
546.0ms	(log (exp (- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)))
138.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

simplify676.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1251
1	386
0	168

prune637.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.5b

bsearch162.0ms

Steps

Iters	Range		Point
8	0.00012587414935880383	7.674138475383248	0.0008451041700813265
10	-14746478108.679678	-0.00028809610572707044	-0.0010449135859785345

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	27

end0.0ms

sample1.9s

Algorithm

intervals

Results

720.0ms	1683×	body	1280	valid
385.0ms	1243×	body	640	valid
200.0ms	4160×	body	80	valid
184.0ms	608×	body	320	valid
84.0ms	306×	body	160	valid