Details

sample1.4s

Algorithm

intervals

Results

667.0ms	135×	body	10240	exit
211.0ms	65×	body	1280	nan
198.0ms	122×	body	1280	valid
84.0ms	70×	body	640	valid
75.0ms	42×	body	640	nan
32.0ms	36×	body	320	valid
12.0ms	16×	body	320	nan
11.0ms	8×	body	160	nan
9.0ms	19×	body	160	valid
2.0ms	10×	body	80	valid
2.0ms	10×	body	80	nan

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	55	1620
1	133	1620
2	441	1620
3	2200	1540
done	5004	1540

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize170.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (+ (+ (+ (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ 676.5203681218851 z)) (+ 0.9999999999998099 (+ (/ -1259.1392167224028 (+ (- z 1.0) 2.0)) (/ 771.3234287776531 (+ (- z 1.0) 3.0)))))) (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
0.9b	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b	(sqrt (* PI 2.0))

rewrite1.9m

Algorithm

rewrite-expression-head

Rules

996×	`*-un-lft-identity`
762×	`distribute-lft-out`
273×	`frac-add`
150×	`times-frac`
109×	`flip3-+` `flip-+`
80×	`associate-/l/`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
34×	`exp-sum`
33×	`associate-/l*`
11×	`associate-r`
10×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unpow-prod-down` `distribute-lft-out--`
6×	`add-log-exp`
4×	`associate-/r` `associate-l*`
3×	`prod-exp` `associate-+l-` `unswap-sqr`
2×	`sqrt-pow1` `sqrt-prod` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `unpow-prod-up` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow1/2` `exp-diff` `div-exp` `pow-prod-down` `pow-exp` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `div-inv` `pow-sub`

Counts

4 → 326

Calls

4 calls:

1.9m	(/ (+ (+ (+ (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ 676.5203681218851 z)) (+ 0.9999999999998099 (+ (/ -1259.1392167224028 (+ (- z 1.0) 2.0)) (/ 771.3234287776531 (+ (- z 1.0) 3.0)))))) (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
217.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
725.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
5.0ms	(sqrt (* PI 2.0))

series813.0ms

Counts

4 → 10

Calls

4 calls:

280.0ms	(/ (+ (+ (+ (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ 676.5203681218851 z)) (+ 0.9999999999998099 (+ (/ -1259.1392167224028 (+ (- z 1.0) 2.0)) (/ 771.3234287776531 (+ (- z 1.0) 3.0)))))) (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
104.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
428.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))

simplify6.2s

Counts

336 → 336

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	512	381567
1	1808	372053
done	5001	371258

prune3.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize599.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
1.0b	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
1.0b	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b	(sqrt (* PI 2.0))

rewrite773.0ms

Algorithm

rewrite-expression-head

Rules

245×	`*-un-lft-identity`
130×	`times-frac`
91×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
65×	`distribute-lft-out`
39×	`swap-sqr`
32×	`associate-r`
31×	`distribute-lft-out--`
28×	`unpow-prod-down`
25×	`associate-l`
24×	`add-exp-log`
21×	`add-cbrt-cube` `cube-prod`
15×	`pow1`
12×	`associate-/r/`
7×	`prod-exp` `unswap-sqr`
6×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp` `sqr-pow`
2×	`pow-to-exp` `sqrt-pow1` `pow-prod-down` `associate-r/` `-commutative` `sqrt-prod` `rem-cube-cbrt`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `unpow-prod-up` `pow-pow` `pow-plus` `pow1/2` `unpow3` `associate-*l/` `pow-sqr` `pow-prod-up` `associate-+l-` `pow-sub`

Counts

4 → 213

Calls

4 calls:

128.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
61.0ms	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
568.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms	(sqrt (* PI 2.0))

series398.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
61.0ms	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
298.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))

simplify2.8s

Counts

223 → 223

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	403	100509
1	1359	76967
2	4717	70920
done	5000	70920

prune3.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize605.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
1.0b	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
1.0b	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b	(sqrt (* PI 2.0))

rewrite652.0ms

Algorithm

rewrite-expression-head

Rules

245×	`*-un-lft-identity`
130×	`times-frac`
91×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
65×	`distribute-lft-out`
39×	`swap-sqr`
32×	`associate-r`
31×	`distribute-lft-out--`
28×	`unpow-prod-down`
25×	`associate-l`
24×	`add-exp-log`
21×	`add-cbrt-cube` `cube-prod`
15×	`pow1`
12×	`associate-/r/`
7×	`prod-exp` `unswap-sqr`
6×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp` `sqr-pow`
2×	`pow-to-exp` `sqrt-pow1` `pow-prod-down` `associate-r/` `-commutative` `sqrt-prod` `rem-cube-cbrt`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `unpow-prod-up` `pow-pow` `pow-plus` `pow1/2` `unpow3` `associate-*l/` `pow-sqr` `pow-prod-up` `associate-+l-` `pow-sub`

Counts

4 → 213

Calls

4 calls:

127.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
32.0ms	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
480.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms	(sqrt (* PI 2.0))

series401.0ms

Counts

4 → 10

Calls

4 calls:

45.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
56.0ms	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
300.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))

simplify2.7s

Counts

223 → 223

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	380	99628
1	1282	76126
2	4185	70119
done	5047	69239

prune3.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize506.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
1.0b	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
1.0b	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b	(sqrt (* PI 2.0))

rewrite627.0ms

Algorithm

rewrite-expression-head

Rules

245×	`*-un-lft-identity`
130×	`times-frac`
91×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
65×	`distribute-lft-out`
39×	`swap-sqr`
32×	`associate-r`
31×	`distribute-lft-out--`
28×	`unpow-prod-down`
25×	`associate-l`
24×	`add-exp-log`
21×	`add-cbrt-cube` `cube-prod`
15×	`pow1`
12×	`associate-/r/`
7×	`prod-exp` `unswap-sqr`
6×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp` `sqr-pow`
2×	`pow-to-exp` `sqrt-pow1` `pow-prod-down` `associate-r/` `-commutative` `sqrt-prod` `rem-cube-cbrt`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `unpow-prod-up` `pow-pow` `pow-plus` `pow1/2` `unpow3` `associate-*l/` `pow-sqr` `pow-prod-up` `associate-+l-` `pow-sub`

Counts

4 → 213

Calls

4 calls:

121.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
31.0ms	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
461.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms	(sqrt (* PI 2.0))

series365.0ms

Counts

4 → 10

Calls

4 calls:

36.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
56.0ms	(pow (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) 3)
273.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))

simplify2.4s

Counts

223 → 223

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	380	99912
1	1282	76410
2	4185	70403
done	5047	69523

prune3.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify47.0ms

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	85	3082
1	128	3082
done	128	3082

end0.0ms

sample22.1s

Algorithm

intervals

Results

8.1s	3878×	body	10240	exit
4.4s	3437×	body	1280	valid
3.4s	2453×	body	640	valid
1.9s	1540×	body	1280	nan
1.3s	1227×	body	640	nan
1.3s	1216×	body	320	valid
597.0ms	601×	body	320	nan
506.0ms	629×	body	160	valid
103.0ms	320×	body	160	nan
92.0ms	359×	body	80	valid
70.0ms	284×	body	80	nan