Details

sample353.0ms

Algorithm

intervals

Results

75.0ms	235×	body	10240	exit
68.0ms	426×	body	80	nan
12.0ms	246×	body	80	valid
2.0ms	21×	body	160	valid

simplify1.0s

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	179	12
6	752	12
done	5000	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.2b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.8b	(- (exp (* 2.0 x)) 1.0)
4.9b	(- (exp x) 1.0)

rewrite140.0ms

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:

46.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
57.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
15.0ms	(- (exp (* 2.0 x)) 1.0)
15.0ms	(- (exp x) 1.0)

series312.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
95.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
31.0ms	(- (exp (* 2.0 x)) 1.0)
45.0ms	(- (exp x) 1.0)

simplify910.0ms

Counts

135 → 135

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	189	2376
1	396	2279
2	1220	2169
done	5000	2156

prune566.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) 1.0))
0.2b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
4.8b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
25×	`times-frac`
21×	`difference-of-squares`
17×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`exp-sum` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l`
4×	`flip3--` `sqrt-prod` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

15.0ms	(sqrt (+ (exp x) 1.0))
146.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
16.0ms	(- (exp (* 2.0 x)) 1.0)
109.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series408.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (+ (exp x) 1.0))
275.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
26.0ms	(- (exp (* 2.0 x)) 1.0)
35.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.2s

Counts

108 → 108

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	184	1906
1	445	1852
2	1747	1711
done	5001	1709

prune656.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 28

Calls

2 calls:

17.0ms	(+ (exp x) 1.0)
14.0ms	(sqrt (+ (exp x) 1.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (exp x) 1.0)
46.0ms	(sqrt (+ (exp x) 1.0))

simplify1.6s

Counts

34 → 34

Iterations

Useful iterations: 3 (403.0ms)

Iter	Nodes	Cost
0	61	297
1	140	271
2	432	260
3	1750	253
done	5000	253

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
0.1b	(pow (exp x) 3)
0.3b	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
4.9b	(- 1.0 (exp x))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod`
9×	`associate-/l*`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
4×	`associate-+r+` `pow-pow` `sum-cubes`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `flip3--` `frac-2neg` `diff-log` `unpow3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 110

Calls

4 calls:

49.0ms	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
8.0ms	(pow (exp x) 3)
212.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
9.0ms	(- 1.0 (exp x))

series239.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
37.0ms	(pow (exp x) 3)
130.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
16.0ms	(- 1.0 (exp x))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	180	2450
1	481	2325
2	2049	2194
done	5001	2192

prune625.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample8.2s

Algorithm

intervals

Results

5.0s	6754×	body	10240	exit
1.4s	12847×	body	80	nan
869.0ms	7459×	body	80	valid
108.0ms	689×	body	160	valid