Details

sample61.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
10.0ms	35×	body	640	valid
9.0ms	149×	body	80	valid
4.0ms	18×	body	320	valid
0.0ms	3×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	115	10
6	270	10
7	776	10
8	2948	10
done	5001	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

23.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
14.0ms	(+ 1.0 (exp (* -2.0 x)))
91.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series204.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
19.0ms	(+ 1.0 (exp (* -2.0 x)))
108.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.3s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	116	947
1	252	903
2	555	847
3	1212	838
4	3536	836
done	5000	836

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.3b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

19.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms	(+ 1.0 (exp (* -2.0 x)))
183.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
78.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series267.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms	(+ 1.0 (exp (* -2.0 x)))
102.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
96.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	145	1321
1	291	1228
2	601	1137
3	1293	1128
4	3718	1124
done	5000	1124

prune390.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.4b	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
1.4b	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `log-pow`
16×	`log-prod`
14×	`sqrt-pow1`
12×	`exp-prod`
10×	`add-cube-cbrt` `sqrt-prod`
8×	`pow1` `add-log-exp` `difference-of-squares`
6×	`add-exp-log`
4×	`sub-neg` `times-frac` `exp-sum` `add-cbrt-cube` `distribute-lft-out--`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 82

Calls

4 calls:

95.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
91.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
234.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
185.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
142.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
523.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
516.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

simplify1.7s

Counts

94 → 94

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	110	1628
1	200	1554
2	386	1422
3	844	1408
4	2133	1408
done	5000	1404

prune507.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.4b	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
1.4b	(log (sqrt (exp (* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))))))
1.8b	(- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
25×	`sqrt-prod`
18×	`log-prod`
15×	`*-un-lft-identity` `log-pow`
14×	`difference-of-squares`
11×	`sqrt-pow1` `add-log-exp`
10×	`times-frac`
9×	`add-cube-cbrt`
8×	`pow1`
7×	`exp-prod`
6×	`add-exp-log` `exp-sum`
5×	`sub-neg`
4×	`add-cbrt-cube`
3×	`distribute-lft-out--`
2×	`distribute-rgt-in` `flip3--` `exp-to-pow` `distribute-lft-in` `pow1/2` `diff-log` `rem-log-exp` `flip--`
1×	`log-div` `exp-diff` `sqrt-div` `sum-log`

Counts

4 → 88

Calls

4 calls:

81.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
230.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
99.0ms	(log (sqrt (exp (* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))))))
164.0ms	(- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

series2.3s

Counts

4 → 12

Calls

4 calls:

129.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
527.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
1.5s	(log (sqrt (exp (* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))))))
131.0ms	(- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

simplify1.6s

Counts

100 → 100

Iterations

Useful iterations: 3 (617.0ms)

Iter	Nodes	Cost
0	225	2589
1	444	2397
2	1021	2118
3	2878	1903
done	5000	1903

prune531.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes457.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	127
1	53	127
done	53	127

end0.0ms

sample2.1s

Algorithm

intervals

Results

836.0ms	1690×	body	1280	valid
597.0ms	4088×	body	80	valid
308.0ms	1227×	body	640	valid
113.0ms	666×	body	320	valid
36.0ms	329×	body	160	valid