Details

sample1.7s

Algorithm

intervals

Results

523.0ms	111×	body	10240	exit
437.0ms	47×	body	640	nan
319.0ms	104×	body	1280	valid
139.0ms	74×	body	640	valid
80.0ms	34×	body	1280	nan
74.0ms	49×	body	320	valid
30.0ms	16×	body	320	nan
16.0ms	19×	body	160	valid
8.0ms	8×	body	160	nan
7.0ms	15×	body	80	valid
4.0ms	8×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5019
3	2301
2	420
1	140
0	55

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize158.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2))) (exp (+ 0.5 (- z -6))))
1.0b	(+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5)))
1.0b	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite499.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
33×	`distribute-lft-out`
28×	`times-frac`
15×	`add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
11×	`add-cbrt-cube`
9×	`add-cube-cbrt` `add-log-exp`
7×	`pow1`
6×	`unpow-prod-down` `prod-exp`
4×	`associate-/r` `div-exp` `associate-r*` `frac-add` `insert-posit16`
3×	`unpow-prod-up` `sum-log` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `sqrt-pow1` `flip3-+` `exp-sum` `associate-*l/` `pow-exp` `sqrt-prod` `cbrt-unprod` `flip-+` `pow-sub` `sqr-pow`
1×	`+-commutative` `associate-+l+` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `associate-/r/` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `associate--r-` `associate-/l/`

Counts

4 → 100

Calls

4 calls:

116.0ms	(/ (* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2))) (exp (+ 0.5 (- z -6))))
252.0ms	(+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5)))
124.0ms	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))

series1.0s

Counts

4 → 10

Calls

4 calls:

521.0ms	(/ (* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2))) (exp (+ 0.5 (- z -6))))
107.0ms	(+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5)))
394.0ms	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify3.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5011
2	3368
1	885
0	310

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize152.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (/ (* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2))) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) 0.9999999999998099) (+ (+ (/ -1259.1392167224028 (+ 1 z)) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2)))) (/ -176.6150291621406 (+ 3 z)))))
1.0b	(+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5)))
1.0b	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite15.9s

Algorithm

rewrite-expression-head

Rules

556×	`frac-add`
216×	`*-un-lft-identity`
170×	`flip3-+` `flip-+`
147×	`distribute-lft-out`
75×	`associate-*l/`
72×	`frac-times` `associate-*r/`
31×	`associate-r`
24×	`times-frac`
23×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`prod-exp`
13×	`add-sqr-sqrt` `associate-l`
12×	`pow1`
9×	`cbrt-unprod` `add-log-exp`
8×	`add-cube-cbrt`
6×	`unpow-prod-down`
4×	`div-exp` `pow-prod-down` `insert-posit16`
3×	`unpow-prod-up` `sum-log` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `sqrt-pow1` `pow-exp` `*-commutative` `sqrt-prod` `sqr-pow`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sub-neg` `distribute-lft-in` `pow1/2` `distribute-lft-out--` `associate--r-` `pow-sub`

Counts

4 → 268

Calls

4 calls:

15.5s	(* (* (/ (* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2))) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) 0.9999999999998099) (+ (+ (/ -1259.1392167224028 (+ 1 z)) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2)))) (/ -176.6150291621406 (+ 3 z)))))
226.0ms	(+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5)))
114.0ms	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))

series1.6s

Counts

4 → 10

Calls

4 calls:

1.1s	(* (* (/ (* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2))) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) 0.9999999999998099) (+ (+ (/ -1259.1392167224028 (+ 1 z)) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2)))) (/ -176.6150291621406 (+ 3 z)))))
95.0ms	(+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5)))
448.0ms	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify11.3s

Counts

278 → 278

Iterations

Iter	Nodes
done	5002
1	4914
0	1030

prune7.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize507.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
1.0b	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
1.0b	(* (sqrt (* PI 2)) (pow (- (+ z 0.5) -6) (+ (- z 1) 0.5)))
1.0b	(sqrt (* PI 2))

rewrite758.0ms

Algorithm

rewrite-expression-head

Rules

448×	`*-un-lft-identity`
173×	`distribute-lft-out`
160×	`times-frac`
44×	`swap-sqr`
27×	`associate-r`
26×	`add-sqr-sqrt`
21×	`pow1`
20×	`associate-l`
18×	`frac-times`
16×	`flip3-+` `frac-add` `flip-+`
15×	`add-cube-cbrt`
13×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`unpow-prod-down` `associate-*r/`
6×	`associate-*l/`
5×	`prod-exp` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `cbrt-unprod`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `pow-plus` `pow-sqr` `pow-prod-up` `sqrt-prod` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `pow1/2` `pow-exp` `associate-+l-` `pow-sub` `difference-of-squares`

Counts

4 → 188

Calls

4 calls:

268.0ms	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
291.0ms	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
188.0ms	(* (sqrt (* PI 2)) (pow (- (+ z 0.5) -6) (+ (- z 1) 0.5)))
3.0ms	(sqrt (* PI 2))

series519.0ms

Counts

4 → 10

Calls

4 calls:

78.0ms	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
105.0ms	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
336.0ms	(* (sqrt (* PI 2)) (pow (- (+ z 0.5) -6) (+ (- z 1) 0.5)))
0.0ms	(sqrt (* PI 2))

simplify5.1s

Counts

198 → 198

Iterations

Iter	Nodes
done	5003
2	4199
1	981
0	302

prune5.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize379.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (- (* 0.9999999999998099 0.9999999999998099) (* (/ 12.507343278686905 (+ z 4)) 0.9999999999998099)))
1.0b	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
1.0b	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

230×	`*-un-lft-identity`
88×	`distribute-lft-out`
80×	`times-frac`
22×	`swap-sqr`
20×	`associate-l`
18×	`add-sqr-sqrt`
14×	`pow1` `frac-add`
12×	`associate-r`
11×	`frac-times` `add-exp-log` `add-cube-cbrt`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `associate-*l/`
5×	`associate-*r/`
4×	`prod-exp` `insert-posit16` `unswap-sqr`
3×	`unpow-prod-up` `flip3--` `flip--`
2×	`associate-+r+` `sum-log` `sub-neg` `sqrt-pow1` `pow-prod-down` `*-commutative` `sqrt-prod` `cbrt-unprod` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `+-commutative` `associate-+r-` `distribute-lft-in` `pow-plus` `pow1/2` `diff-log` `pow-exp` `pow-sqr` `pow-prod-up` `distribute-lft-out--` `associate--r-` `pow-sub`

Counts

4 → 139

Calls

4 calls:

50.0ms	(+ (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (- (* 0.9999999999998099 0.9999999999998099) (* (/ 12.507343278686905 (+ z 4)) 0.9999999999998099)))
333.0ms	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
114.0ms	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))

series633.0ms

Counts

4 → 10

Calls

4 calls:

66.0ms	(+ (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (- (* 0.9999999999998099 0.9999999999998099) (* (/ 12.507343278686905 (+ z 4)) 0.9999999999998099)))
124.0ms	(* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))
442.0ms	(* (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify3.1s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
1	1157
0	353

prune3.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify96.0ms

Iterations

Iter	Nodes
done	148
1	148
0	96

end0.0ms

sample46.9s

Algorithm

intervals

Results

17.0s	3700×	body	10240	exit
11.4s	3375×	body	1280	valid
6.3s	2446×	body	640	valid
3.5s	1425×	body	1280	nan
3.0s	1151×	body	640	nan
2.1s	1259×	body	320	valid
1.8s	666×	body	160	valid
793.0ms	596×	body	320	nan
265.0ms	306×	body	160	nan
178.0ms	342×	body	80	valid
167.0ms	303×	body	80	nan