Details

sample1.4s

Algorithm

intervals

Results

556.0ms	119×	body	10240	exit
297.0ms	114×	body	1280	valid
186.0ms	76×	body	640	valid
110.0ms	38×	body	1280	nan
60.0ms	29×	body	640	nan
51.0ms	39×	body	320	valid
21.0ms	18×	body	320	nan
16.0ms	18×	body	160	valid
7.0ms	15×	body	80	nan
5.0ms	6×	body	160	nan
4.0ms	10×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
3	2007
2	420
1	140
0	55

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize175.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.2b	(/ (+ (+ (/ 1.5056327351493116e-07 (- z -7)) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -1259.1392167224028 (+ z 1)))) (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))) (exp (+ (- z -6) 0.5)))

rewrite17.2s

Algorithm

rewrite-expression-head

Rules

656×	`*-un-lft-identity`
479×	`distribute-lft-out`
216×	`frac-add`
116×	`times-frac`
58×	`associate-/l/`
55×	`flip3-+` `flip-+`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
24×	`exp-sum`
23×	`associate-/l*`
10×	`associate-l` `add-exp-log`
9×	`add-log-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`unpow-prod-down`
5×	`distribute-lft-out--`
4×	`associate-/r` `associate-r*` `insert-posit16`
3×	`sum-log` `prod-exp` `unswap-sqr`
2×	`sqrt-pow1` `associate-+l-` `sqrt-prod` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `unpow-prod-up` `+-commutative` `associate-+r+` `clear-num` `frac-2neg` `pow1/2` `exp-diff` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `associate-/r/` `-commutative` `cbrt-unprod` `div-inv` `pow-sub`

Counts

4 → 261

Calls

4 calls:

168.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
200.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))
16.8s	(/ (+ (+ (/ 1.5056327351493116e-07 (- z -7)) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -1259.1392167224028 (+ z 1)))) (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))) (exp (+ (- z -6) 0.5)))

series646.0ms

Counts

4 → 10

Calls

4 calls:

82.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
327.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
236.0ms	(/ (+ (+ (/ 1.5056327351493116e-07 (- z -7)) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (/ -1259.1392167224028 (+ z 1)))) (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))) (exp (+ (- z -6) 0.5)))

simplify2.9s

Counts

271 → 271

Iterations

Iter	Nodes
done	2005
2	2005
1	1613
0	482

prune3.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (exp 6.5) z)
0.3b	(* (/ z (exp 6.5)) 2351.6663247613023)
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`associate-l`
22×	`*-un-lft-identity`
17×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1`
10×	`times-frac` `associate-r`
6×	`unpow-prod-down` `prod-exp` `unswap-sqr`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`sqrt-pow1` `associate-*l/` `sqrt-prod` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `unpow-prod-up` `pow1/2` `div-exp` `pow-exp` `associate-+l-` `div-inv` `distribute-lft-out--` `pow-sub`

Counts

4 → 95

Calls

4 calls:

18.0ms	(* (exp 6.5) z)
13.0ms	(* (/ z (exp 6.5)) 2351.6663247613023)
198.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))

series717.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(* (exp 6.5) z)
175.0ms	(* (/ z (exp 6.5)) 2351.6663247613023)
439.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	2000
3	2000
2	1895
1	549
0	212

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 676.5203681218851 (* (sqrt (exp 6.5)) (* (sqrt (exp 6.5)) z)))
0.3b	(* (/ z (exp 6.5)) 2351.6663247613023)
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`associate-l`
22×	`*-un-lft-identity` `add-exp-log`
20×	`add-cbrt-cube`
17×	`add-cube-cbrt`
13×	`times-frac`
9×	`pow1`
8×	`prod-exp`
7×	`associate-r`
6×	`unpow-prod-down` `cbrt-unprod`
5×	`unswap-sqr`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`sqrt-pow1` `pow-prod-down` `associate-l/` `-commutative` `sqrt-prod` `div-inv` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `clear-num` `associate-/r*` `frac-2neg` `pow1/2` `pow-exp` `associate-+l-` `distribute-lft-out--` `pow-sub`

Counts

4 → 100

Calls

4 calls:

48.0ms	(/ 676.5203681218851 (* (sqrt (exp 6.5)) (* (sqrt (exp 6.5)) z)))
25.0ms	(* (/ z (exp 6.5)) 2351.6663247613023)
194.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))

series731.0ms

Counts

4 → 10

Calls

4 calls:

148.0ms	(/ 676.5203681218851 (* (sqrt (exp 6.5)) (* (sqrt (exp 6.5)) z)))
139.0ms	(* (/ z (exp 6.5)) 2351.6663247613023)
444.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	2002
2	2002
1	627
0	241

prune992.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 676.5203681218851 (sqrt (exp 6.5))) (* (sqrt (exp 6.5)) z))
0.3b	(* (/ z (exp 6.5)) 2351.6663247613023)
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
51×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
41×	`add-cube-cbrt`
25×	`add-exp-log`
23×	`add-cbrt-cube` `associate-l`
22×	`associate-/l*`
20×	`sqrt-prod`
9×	`pow1`
7×	`cbrt-undiv` `div-exp` `associate-r` `prod-exp`
6×	`unpow-prod-down`
5×	`cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `div-inv` `add-log-exp`
2×	`sqrt-pow1` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `clear-num` `associate-/r*` `frac-2neg` `pow1/2` `pow-exp` `associate-+l-` `distribute-lft-out--` `pow-sub` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

28.0ms	(/ (/ 676.5203681218851 (sqrt (exp 6.5))) (* (sqrt (exp 6.5)) z))
22.0ms	(* (/ z (exp 6.5)) 2351.6663247613023)
183.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))

series694.0ms

Counts

4 → 10

Calls

4 calls:

127.0ms	(/ (/ 676.5203681218851 (sqrt (exp 6.5))) (* (sqrt (exp 6.5)) z))
148.0ms	(* (/ z (exp 6.5)) 2351.6663247613023)
420.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify1.5s

Counts

151 → 151

Iterations

Iter	Nodes
done	2001
2	2001
1	785
0	316

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	40
1	40
0	29

end1.0ms

sample53.3s

Algorithm

intervals

Results

19.1s	3849×	body	10240	exit
13.6s	3389×	body	1280	valid
6.8s	2399×	body	640	valid
4.7s	1564×	body	1280	nan
3.1s	1243×	body	640	nan
2.2s	1280×	body	320	valid
1.7s	692×	body	320	nan
806.0ms	668×	body	160	valid
391.0ms	305×	body	160	nan
202.0ms	344×	body	80	valid
183.0ms	331×	body	80	nan