Details

sample403.0ms

Algorithm

intervals

Results

60.0ms	195×	body	10240	exit
15.0ms	415×	body	80	nan
8.0ms	233×	body	80	valid
2.0ms	27×	body	160	valid

simplify1.9s

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	175	12
6	479	12
7	1665	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.7b	(- (exp (* 2.0 x)) 1.0)
5.8b	(- (exp x) 1.0)

rewrite97.0ms

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:

27.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
41.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
11.0ms	(- (exp (* 2.0 x)) 1.0)
12.0ms	(- (exp x) 1.0)

series203.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
60.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
26.0ms	(- (exp (* 2.0 x)) 1.0)
28.0ms	(- (exp x) 1.0)

simplify990.0ms

Counts

135 → 135

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	189	2376
1	388	2279
2	904	2169
3	2293	2156
done	5001	2154

prune326.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
5.7b	(- (exp (* 2.0 x)) 1.0)
5.7b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
25×	`times-frac`
21×	`difference-of-squares`
16×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`exp-sum` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `flip--`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
79.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
12.0ms	(- (exp (* 2.0 x)) 1.0)
50.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
165.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
25.0ms	(- (exp (* 2.0 x)) 1.0)
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: 3 (646.0ms)

Iter	Nodes	Cost
0	165	1833
1	399	1795
2	1099	1647
3	3482	1639
done	5000	1639

prune328.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (* 1.0 (+ (exp x) 1.0)))
0.0b	(+ (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1`
4×	`*-un-lft-identity` `add-log-exp`
2×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-pow1` `flip3-+` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `pow1/2` `pow-prod-down` `sum-log` `sqrt-prod` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

9.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
11.0ms	(+ (exp x) 1.0)

series82.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))
9.0ms	(+ (exp x) 1.0)

simplify1.9s

Counts

31 → 31

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	67	305
1	160	283
2	411	270
3	1146	260
4	4045	257
done	5000	257

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) 3)
0.2b	(sqrt (* 1.0 (+ (pow (exp x) 3) (pow 1.0 3))))
0.3b	(sqrt (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
5.8b	(- 1.0 (exp x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`pow1` `add-cube-cbrt`
6×	`add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log` `pow-pow` `sqrt-div` `sqrt-prod`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `sqrt-pow1` `cube-prod`
2×	`flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `rem-sqrt-square` `flip3--` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(pow (exp x) 3)
24.0ms	(sqrt (* 1.0 (+ (pow (exp x) 3) (pow 1.0 3))))
36.0ms	(sqrt (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
6.0ms	(- 1.0 (exp x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
101.0ms	(sqrt (* 1.0 (+ (pow (exp x) 3) (pow 1.0 3))))
71.0ms	(sqrt (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
14.0ms	(- 1.0 (exp x))

simplify707.0ms

Counts

80 → 80

Iterations

Useful iterations: done (705.0ms)

Iter	Nodes	Cost
0	172	949
1	395	821
2	1256	787
done	5001	756

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	6405×	body	10240	exit
420.0ms	12548×	body	80	nan
275.0ms	7446×	body	80	valid
58.0ms	697×	body	160	valid