Details

sample249.0ms

Algorithm

intervals

Results

134.0ms	190×	body	10240	exit
24.0ms	394×	body	80	nan
16.0ms	230×	body	80	valid
4.0ms	28×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.5b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.7b	(- (exp (* 2.0 x)) 1.0)
5.8b	(- (exp x) 1.0)

rewrite145.0ms

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:

41.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
45.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
20.0ms	(- (exp (* 2.0 x)) 1.0)
24.0ms	(- (exp x) 1.0)

series280.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
87.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
37.0ms	(- (exp (* 2.0 x)) 1.0)
41.0ms	(- (exp x) 1.0)

simplify768.0ms

Counts

135 → 135

Iterations

Useful iterations: done (756.0ms)

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

prune503.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
0.5b	(/ (- (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))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

107.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
121.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
28.0ms	(- (exp (* 2.0 x)) 1.0)
103.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series515.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
248.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
32.0ms	(- (exp (* 2.0 x)) 1.0)
25.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	196	2198
1	503	2130
2	2114	1973
done	5000	1953

prune496.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.3b	(sqrt (* 1.0 (+ (exp x) 1.0)))

rewrite44.0ms

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:

17.0ms	(+ (exp x) 1.0)
26.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (exp x) 1.0)
103.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))

simplify1.1s

Counts

31 → 31

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	67	305
1	160	283
2	459	270
3	1820	260
done	5000	260

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
0.3b	(sqrt (* 1.0 (/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))))
0.5b	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
5.8b	(- 1.0 (exp x))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

80.0ms	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
97.0ms	(sqrt (* 1.0 (/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))))
208.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
23.0ms	(- 1.0 (exp x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
239.0ms	(sqrt (* 1.0 (/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))))
120.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
16.0ms	(- 1.0 (exp x))

simplify1.2s

Counts

108 → 108

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	178	2635
1	432	2527
2	1896	2381
done	5001	2381

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample8.3s

Algorithm

intervals

Results

4.7s	6597×	body	10240	exit
2.1s	12903×	body	80	nan
640.0ms	7374×	body	80	valid
116.0ms	737×	body	160	valid