Details

sample3.0s

Algorithm

intervals

Results

2.5s	125×	body	10240	exit
208.0ms	259×	body	80	valid
125.0ms	38×	body	1280	nan
72.0ms	32×	body	640	nan
30.0ms	17×	body	320	nan
12.0ms	9×	body	160	nan
9.0ms	15×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5014
3	4020
2	623
1	155
0	60

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize207.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
1.0b	(/ (pow (+ (- 7 z) 0.5) (+ (- 0 z) 0.5)) (exp (+ (- 7 z) 0.5)))
1.0b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
1.0b	(sqrt (* 2 PI))

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
72×	`times-frac`
34×	`distribute-lft-out`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
21×	`distribute-lft-out--`
11×	`exp-sum` `add-log-exp`
10×	`associate-/l*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-up` `frac-add` `sqr-pow`
4×	`associate-/r*` `sum-log` `insert-posit16`
3×	`flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `sqrt-pow1` `associate-+l-`
1×	`pow-to-exp` `cbrt-undiv` `associate-+l+` `clear-num` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `pow-exp` `associate-/r/` `sqrt-prod` `div-inv` `pow-sub` `associate-/l/`

Counts

4 → 128

Calls

4 calls:

40.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
179.0ms	(/ (pow (+ (- 7 z) 0.5) (+ (- 0 z) 0.5)) (exp (+ (- 7 z) 0.5)))
255.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
3.0ms	(sqrt (* 2 PI))

series457.0ms

Counts

4 → 10

Calls

4 calls:

69.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
267.0ms	(/ (pow (+ (- 7 z) 0.5) (+ (- 0 z) 0.5)) (exp (+ (- 7 z) 0.5)))
121.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
0.0ms	(sqrt (* 2 PI))

simplify2.4s

Counts

138 → 138

Iterations

Iter	Nodes
done	5006
2	2446
1	732
0	327

prune2.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize218.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
1.0b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
1.0b	(sqrt (* 2 PI))
1.6b	(exp (- (* (- 0.5 z) (log (+ 7 (- 0.5 z)))) (+ 7 (- 0.5 z))))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
32×	`times-frac`
28×	`distribute-lft-out`
21×	`add-log-exp`
18×	`distribute-lft-out--`
13×	`exp-sum`
10×	`log-prod` `associate--l+`
7×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`sum-log`
5×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
4×	`add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `rem-exp-log`
3×	`exp-prod` `flip3-+` `flip-+`
2×	`+-commutative` `sqrt-pow1`
1×	`associate-+l+` `associate-+r-` `sub-neg` `pow1/2` `exp-diff` `pow-prod-down` `sqrt-prod` `associate--r-`

Counts

4 → 86

Calls

4 calls:

31.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
224.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
2.0ms	(sqrt (* 2 PI))
166.0ms	(exp (- (* (- 0.5 z) (log (+ 7 (- 0.5 z)))) (+ 7 (- 0.5 z))))

series379.0ms

Counts

4 → 10

Calls

4 calls:

77.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
121.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
0.0ms	(sqrt (* 2 PI))
180.0ms	(exp (- (* (- 0.5 z) (log (+ 7 (- 0.5 z)))) (+ 7 (- 0.5 z))))

simplify2.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5026
2	1924
1	608
0	254

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize160.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
1.0b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
1.0b	(sqrt (* 2 PI))
1.6b	(exp (- (+ (* 0.5 (log (- 7.5 z))) z) (+ (* (log (- 7.5 z)) z) 7.5)))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
32×	`times-frac`
24×	`distribute-lft-out` `add-log-exp`
17×	`distribute-lft-out--`
8×	`sum-log`
7×	`add-sqr-sqrt` `pow1`
5×	`exp-prod` `frac-add` `add-cube-cbrt` `rem-exp-log`
4×	`add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16`
3×	`flip3-+` `exp-sum` `flip-+`
2×	`+-commutative` `sqrt-pow1`
1×	`associate-+l+` `sub-neg` `pow1/2` `exp-diff` `pow-prod-down` `associate--l+` `sqrt-prod` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

29.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
191.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
3.0ms	(sqrt (* 2 PI))
125.0ms	(exp (- (+ (* 0.5 (log (- 7.5 z))) z) (+ (* (log (- 7.5 z)) z) 7.5)))

series343.0ms

Counts

4 → 10

Calls

4 calls:

89.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
101.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
0.0ms	(sqrt (* 2 PI))
153.0ms	(exp (- (+ (* 0.5 (log (- 7.5 z))) z) (+ (* (log (- 7.5 z)) z) 7.5)))

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1496
1	465
0	189

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize175.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
1.0b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
1.0b	(sqrt (* 2 PI))
1.6b	(exp (- (+ z (* (log (- 7.5 z)) (- 0.5 z))) 7.5))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
32×	`times-frac`
24×	`distribute-lft-out`
17×	`distribute-lft-out--` `add-log-exp`
7×	`add-sqr-sqrt` `pow1`
5×	`exp-prod` `sum-log` `frac-add` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3-+` `exp-sum` `flip-+` `rem-exp-log`
2×	`+-commutative` `sqrt-pow1` `diff-log`
1×	`associate-+l+` `sub-neg` `pow1/2` `exp-diff` `pow-prod-down` `associate--l+` `sqrt-prod` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

43.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
239.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
3.0ms	(sqrt (* 2 PI))
70.0ms	(exp (- (+ z (* (log (- 7.5 z)) (- 0.5 z))) 7.5))

series348.0ms

Counts

4 → 10

Calls

4 calls:

70.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
116.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))) (/ 9.984369578019572e-06 (- 7 z)))
0.0ms	(sqrt (* 2 PI))
162.0ms	(exp (- (+ z (* (log (- 7.5 z)) (- 0.5 z))) 7.5))

simplify2.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1724
1	533
0	224

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes496.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify29.0ms

Iterations

Iter	Nodes
done	77
1	77
0	60

end0.0ms

sample1.6m

Algorithm

intervals

Results

1.2m	3998×	body	10240	exit
6.5s	8098×	body	80	valid
5.6s	1419×	body	1280	nan
4.6s	1251×	body	640	nan
2.0s	628×	body	320	nan
820.0ms	327×	body	160	nan
200.0ms	299×	body	80	nan