Details

sample1.9s

Algorithm

intervals

Results

877.0ms	114×	body	10240	exit
361.0ms	129×	body	1280	valid
197.0ms	66×	body	1280	nan
165.0ms	66×	body	640	valid
67.0ms	37×	body	640	nan
65.0ms	27×	body	320	nan
54.0ms	39×	body	320	valid
14.0ms	16×	body	160	valid
6.0ms	8×	body	160	nan
3.0ms	9×	body	80	valid
3.0ms	8×	body	80	nan

simplify885.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2125
2	412
1	139
0	55

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize201.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5))) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
1.0b	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite18.6s

Algorithm

rewrite-expression-head

Rules

444×	`frac-add`
157×	`*-un-lft-identity`
152×	`flip3-+` `flip-+`
117×	`distribute-lft-out`
68×	`frac-times` `associate-*r/`
32×	`associate-r`
27×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`add-sqr-sqrt` `associate-l`
14×	`prod-exp`
12×	`add-cube-cbrt`
9×	`pow1`
8×	`times-frac` `div-exp`
6×	`unpow-prod-down` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r*` `associate-+l-` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `exp-sum` `associate-*l/` `pow-exp`
2×	`sqrt-pow1` `exp-diff` `pow-prod-down` `associate-/r/` `*-commutative` `sqrt-prod` `div-inv` `pow-sub` `sqr-pow`
1×	`distribute-rgt-in` `unpow-prod-up` `clear-num` `frac-2neg` `distribute-lft-in` `pow1/2` `associate-/l*` `distribute-lft-out--` `associate-/l/`

Counts

4 → 274

Calls

4 calls:

18.2s	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5))) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
189.0ms	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
140.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
4.0ms	(sqrt (* PI 2))

series1.8s

Counts

4 → 10

Calls

4 calls:

863.0ms	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5))) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
573.0ms	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
407.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify7.8s

Counts

284 → 284

Iterations

Iter	Nodes
1	4671
0	939

prune11.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize184.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ (- z -6) 0.5))
0.8b	(* (* (/ (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (exp (+ (- z -6) 0.5)))) (/ (sqrt (* PI 2)) (sqrt (exp (+ (- z -6) 0.5))))) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
1.0b	(* (/ (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (exp (+ (- z -6) 0.5)))) (/ (sqrt (* PI 2)) (sqrt (exp (+ (- z -6) 0.5)))))
1.0b	(sqrt (* PI 2))

rewrite16.0s

Algorithm

rewrite-expression-head

Rules

888×	`frac-add`
304×	`flip3-+` `flip-+`
274×	`frac-times`
237×	`*-un-lft-identity`
138×	`associate-*r/`
131×	`distribute-lft-out`
130×	`times-frac`
125×	`add-sqr-sqrt`
80×	`sqrt-prod`
76×	`associate-l`
73×	`associate-*l/`
62×	`add-exp-log`
61×	`associate-r`
57×	`add-cube-cbrt`
41×	`unpow-prod-down`
34×	`add-cbrt-cube`
25×	`prod-exp`
21×	`unswap-sqr`
20×	`div-exp`
15×	`exp-sum`
14×	`pow1`
13×	`cbrt-unprod` `sqr-pow`
10×	`add-log-exp`
8×	`cbrt-undiv` `distribute-lft-out--`
7×	`unpow-prod-up`
5×	`exp-prod` `pow-prod-down`
4×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `insert-posit16` `log1p-expm1-u`
3×	`exp-diff` `associate-+l-` `rem-exp-log`
2×	`sum-log` `sqrt-pow1` `sqrt-div` `associate-/r/` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/2` `diff-log`

Counts

4 → 523

Calls

4 calls:

49.0ms	(exp (+ (- z -6) 0.5))
15.2s	(* (* (/ (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (exp (+ (- z -6) 0.5)))) (/ (sqrt (* PI 2)) (sqrt (exp (+ (- z -6) 0.5))))) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
733.0ms	(* (/ (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (exp (+ (- z -6) 0.5)))) (/ (sqrt (* PI 2)) (sqrt (exp (+ (- z -6) 0.5)))))
8.0ms	(sqrt (* PI 2))

series1.5s

Counts

4 → 10

Calls

4 calls:

12.0ms	(exp (+ (- z -6) 0.5))
907.0ms	(* (* (/ (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (exp (+ (- z -6) 0.5)))) (/ (sqrt (* PI 2)) (sqrt (exp (+ (- z -6) 0.5))))) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
606.0ms	(* (/ (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (exp (+ (- z -6) 0.5)))) (/ (sqrt (* PI 2)) (sqrt (exp (+ (- z -6) 0.5)))))
0.0ms	(sqrt (* PI 2))

simplify11.3s

Counts

533 → 533

Iterations

Iter	Nodes
1	6513
0	1256

prune22.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize201.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp z)) (* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3))))))
0.8b	(* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite32.1s

Algorithm

rewrite-expression-head

Rules

1332×	`frac-add`
456×	`flip3-+` `flip-+`
341×	`frac-times` `associate-*r/`
207×	`exp-diff`
162×	`*-un-lft-identity`
117×	`distribute-lft-out`
34×	`add-exp-log`
33×	`associate-r`
31×	`associate-l`
29×	`add-cbrt-cube`
25×	`prod-exp`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`pow1`
13×	`cbrt-unprod`
11×	`exp-sum`
9×	`prod-diff`
8×	`div-exp`
6×	`unpow-prod-down`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `times-frac` `pow-exp` `*-commutative`
2×	`sqrt-pow1` `sqrt-prod` `sqr-pow`
1×	`unpow-prod-up` `sub-neg` `pow1/2` `associate-+l-` `div-inv` `distribute-lft-out--` `pow-sub`

Counts

4 → 559

Calls

4 calls:

13.9s	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp z)) (* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3))))))
18.0s	(* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
175.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
8.0ms	(sqrt (* PI 2))

series1.7s

Counts

4 → 10

Calls

4 calls:

1.1s	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp z)) (* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3))))))
268.0ms	(* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
349.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify9.7s

Counts

569 → 569

Iterations

Iter	Nodes
1	6121
0	1382

prune29.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize195.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (* (sqrt PI) (sqrt 2))) (exp z)) (* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3))))))
0.8b	(* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (* (sqrt PI) (sqrt 2)))
1.0b	(sqrt PI)

rewrite31.1s

Algorithm

rewrite-expression-head

Rules

1332×	`frac-add`
456×	`flip3-+` `flip-+`
341×	`frac-times` `associate-*r/`
207×	`exp-diff`
162×	`*-un-lft-identity`
117×	`distribute-lft-out`
64×	`add-exp-log`
52×	`prod-exp`
43×	`add-cbrt-cube`
31×	`associate-l`
30×	`associate-r`
22×	`cbrt-unprod`
20×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`div-exp`
12×	`pow1`
11×	`exp-sum`
9×	`prod-diff`
6×	`pow-to-exp` `cbrt-undiv` `pow-exp`
5×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `*-commutative` `sqrt-prod`
1×	`unpow-prod-up` `rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `associate-+l-` `div-inv` `distribute-lft-out--` `pow-sub` `unswap-sqr` `sqr-pow`

Counts

4 → 567

Calls

4 calls:

13.0s	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (* (sqrt PI) (sqrt 2))) (exp z)) (* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3))))))
17.9s	(* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
179.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (* (sqrt PI) (sqrt 2)))
1.0ms	(sqrt PI)

series1.7s

Counts

4 → 10

Calls

4 calls:

1.0s	(* (/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (* (sqrt PI) (sqrt 2))) (exp z)) (* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3))))))
293.0ms	(* (exp (- -6 0.5)) (+ (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ -0.13857109526572012 (+ -1 (- z -6))) (/ 12.507343278686905 (+ z 4)))) (+ (+ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z)))) (/ -1259.1392167224028 (- z -1))) (/ -176.6150291621406 (+ z 3)))))
374.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (* (sqrt PI) (sqrt 2)))
0.0ms	(sqrt PI)

simplify8.0s

Counts

577 → 577

Iterations

Iter	Nodes
1	6206
0	1400

prune27.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	72
1	72
0	54

end0.0ms

sample32.9s

Algorithm

intervals

Results

10.5s	3777×	body	10240	exit
8.7s	3393×	body	1280	valid
4.3s	2504×	body	640	valid
3.8s	1547×	body	1280	nan
2.4s	1212×	body	640	nan
1.4s	1222×	body	320	valid
740.0ms	613×	body	320	nan
386.0ms	629×	body	160	valid
225.0ms	309×	body	160	nan
122.0ms	326×	body	80	valid
105.0ms	286×	body	80	nan