Details

sample317.0ms

Algorithm

intervals

Results

37.0ms	195×	body	10240	exit
10.0ms	351×	body	80	nan
9.0ms	233×	body	80	valid
2.0ms	24×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	19	12
2	28	12
3	40	12
4	74	12
5	170	12
6	464	12
7	1492	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.8b	(- (exp (* 2.0 x)) 1.0)
5.0b	(- (exp x) 1.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

15.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
15.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
7.0ms	(- (exp x) 1.0)

series198.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
55.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
30.0ms	(- (exp (* 2.0 x)) 1.0)
22.0ms	(- (exp x) 1.0)

simplify1.1s

Counts

135 → 135

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	189	2376
1	388	2279
2	896	2169
3	2386	2156
done	5001	2154

prune339.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
4.8b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
230×	`*-un-lft-identity`
188×	`add-sqr-sqrt`
102×	`add-cube-cbrt`
88×	`difference-of-squares`
36×	`distribute-lft-out`
30×	`exp-sum` `associate-/r*`
28×	`distribute-lft-out--`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/l*`
8×	`div-inv` `add-log-exp`
7×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
2×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 253

Calls

4 calls:

68.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
56.0ms	(/ (- (exp (* 2.0 x)) 1.0) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
4.0ms	(- (exp (* 2.0 x)) 1.0)
29.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series180.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
91.0ms	(/ (- (exp (* 2.0 x)) 1.0) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
25.0ms	(- (exp (* 2.0 x)) 1.0)
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.2s

Counts

265 → 265

Iterations

Useful iterations: 2 (519.0ms)

Iter	Nodes	Cost
0	360	8009
1	1034	7743
2	3589	7375
done	5000	7375

prune762.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) 3))
0.1b	(pow (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) 3)
4.8b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
80×	`times-frac`
65×	`add-sqr-sqrt`
58×	`cbrt-prod`
52×	`unpow-prod-down` `cube-prod`
46×	`add-cube-cbrt`
35×	`difference-of-squares`
20×	`distribute-lft-out`
17×	`exp-sum`
8×	`associate-/r/` `add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`flip3-+` `flip-+` `div-inv`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `div-exp` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 168

Calls

4 calls:

44.0ms	(cbrt (pow (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) 3))
47.0ms	(pow (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) 3)
4.0ms	(- (exp (* 2.0 x)) 1.0)
28.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series158.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (pow (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) 3))
72.0ms	(pow (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)) 3)
24.0ms	(- (exp (* 2.0 x)) 1.0)
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify744.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	257	4501
1	689	3921
2	2185	3540
done	5000	3540

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-log-exp`
11×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
5×	`difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`
3×	`distribute-lft-out--`
1×	`exp-sum`

Counts

4 → 56

Calls

4 calls:

4.0ms	(- (exp (* 2.0 x)) 1.0)
4.0ms	(- (exp (* 2.0 x)) 1.0)
4.0ms	(- (exp (* 2.0 x)) 1.0)
30.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series96.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (exp (* 2.0 x)) 1.0)
28.0ms	(- (exp (* 2.0 x)) 1.0)
24.0ms	(- (exp (* 2.0 x)) 1.0)
19.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.5s

Counts

68 → 68

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	78	760
1	171	736
2	444	656
3	1070	646
4	3288	646
done	5000	646

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

75.6% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.9b

bsearch37.0ms

Steps

Iters	Range		Point
7	-0.001504064521609896	-8.78551315505774e-06	-1.3409676457456808e-05

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	40
1	35	40
done	35	40

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	6724×	body	10240	exit
374.0ms	12569×	body	80	nan
232.0ms	7366×	body	80	valid
58.0ms	738×	body	160	valid