Details

sample1.7s

Algorithm

intervals

Results

701.0ms	106×	body	1280	valid
401.0ms	122×	body	10240	exit
191.0ms	79×	body	640	valid
142.0ms	53×	body	1280	nan
77.0ms	41×	body	640	nan
65.0ms	47×	body	320	valid
36.0ms	15×	body	160	valid
20.0ms	17×	body	320	nan
7.0ms	8×	body	160	nan
5.0ms	11×	body	80	valid
2.0ms	5×	body	80	nan

simplify896.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2125
2	412
1	139
0	55

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize153.0ms

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

rewrite18.0s

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:

17.7s	(* (/ (* (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)))))
174.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
169.0ms	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
4.0ms	(sqrt (* PI 2))

series1.7s

Counts

4 → 10

Calls

4 calls:

843.0ms	(* (/ (* (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)))))
370.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
497.0ms	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
0.0ms	(sqrt (* PI 2))

simplify8.1s

Counts

284 → 284

Iterations

Iter	Nodes
1	4671
0	939

prune12.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize167.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ z 6.5))
0.8b	(* (* (sqrt PI) (/ (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5)))) (+ (+ (+ (/ 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	(* (sqrt PI) (/ (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5))))
1.0b	(sqrt PI)

rewrite13.1s

Algorithm

rewrite-expression-head

Rules

444×	`frac-add`
153×	`*-un-lft-identity`
152×	`flip3-+` `flip-+`
138×	`associate-*r/`
116×	`distribute-lft-out`
68×	`frac-times`
36×	`associate-r`
35×	`add-exp-log`
27×	`add-cbrt-cube`
22×	`prod-exp`
16×	`add-sqr-sqrt`
12×	`pow1` `cbrt-unprod`
11×	`add-cube-cbrt`
8×	`div-exp`
7×	`associate-l` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `exp-prod` `times-frac` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
2×	`pow-to-exp` `exp-sum` `pow-exp` `*-commutative` `unswap-sqr` `rem-exp-log`
1×	`distribute-rgt-in` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 261

Calls

4 calls:

11.0ms	(exp (+ z 6.5))
12.9s	(* (* (sqrt PI) (/ (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5)))) (+ (+ (+ (/ 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)))))
110.0ms	(* (sqrt PI) (/ (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5))))
2.0ms	(sqrt PI)

series1.4s

Counts

4 → 10

Calls

4 calls:

12.0ms	(exp (+ z 6.5))
808.0ms	(* (* (sqrt PI) (/ (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5)))) (+ (+ (+ (/ 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)))))
600.0ms	(* (sqrt PI) (/ (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (exp (+ z 6.5))))
0.0ms	(sqrt PI)

simplify6.6s

Counts

271 → 271

Iterations

Iter	Nodes
1	4515
0	897

prune12.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize142.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.2s

Algorithm

rewrite-expression-head

Rules

888×	`frac-add`
414×	`associate-*r/`
304×	`flip3-+` `flip-+`
150×	`*-un-lft-identity`
139×	`pow-sub`
137×	`associate-/l/`
136×	`frac-times`
115×	`distribute-lft-out`
47×	`add-exp-log`
32×	`add-cbrt-cube`
31×	`prod-exp`
29×	`associate-r`
15×	`cbrt-unprod`
12×	`pow1`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
7×	`associate-l`
6×	`div-exp` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r*` `times-frac` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp`
2×	`exp-sum` `associate-l/` `-commutative`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `div-inv` `associate-/l*`

Counts

4 → 400

Calls

4 calls:

13.5s	(* (* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 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)))))
5.6s	(/ (* (* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 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))))) (exp (+ z 6.5)))
56.0ms	(* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))))
2.0ms	(sqrt PI)

series2.0s

Counts

4 → 10

Calls

4 calls:

674.0ms	(* (* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 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)))))
951.0ms	(/ (* (* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 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))))) (exp (+ z 6.5)))
383.0ms	(* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))))
0.0ms	(sqrt PI)

simplify8.7s

Counts

410 → 410

Iterations

Iter	Nodes
1	5085
0	1073

prune20.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.7s

Algorithm

rewrite-expression-head

Rules

2240×	`*-un-lft-identity`
1725×	`distribute-lft-out`
401×	`times-frac`
239×	`sqrt-prod`
222×	`frac-add`
201×	`associate-r`
149×	`add-sqr-sqrt`
140×	`add-cube-cbrt`
76×	`flip3-+` `flip-+`
68×	`add-exp-log` `associate-/l/`
58×	`exp-sum`
43×	`add-cbrt-cube`
33×	`prod-exp`
28×	`associate-/l*`
17×	`div-exp` `associate-l` `cbrt-unprod`
11×	`cbrt-undiv`
9×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `associate-*r/` `div-inv` `unswap-sqr`
2×	`pow-prod-down` `*-commutative`
1×	`frac-times` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-*l/` `pow-sub`

Counts

4 → 605

Calls

4 calls:

21.0s	(/ (+ (+ (+ (/ 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)))) (sqrt (exp (+ z 6.5))))
17.6s	(* (/ (* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 0.5)))) (sqrt (exp (+ z 6.5)))) (/ (+ (+ (+ (/ 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)))) (sqrt (exp (+ z 6.5)))))
37.0ms	(* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))))
1.0ms	(sqrt PI)

series2.0s

Counts

4 → 10

Calls

4 calls:

301.0ms	(/ (+ (+ (+ (/ 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)))) (sqrt (exp (+ z 6.5))))
841.0ms	(* (/ (* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 0.5)))) (sqrt (exp (+ z 6.5)))) (/ (+ (+ (+ (/ 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)))) (sqrt (exp (+ z 6.5)))))
823.0ms	(* (sqrt PI) (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))))
0.0ms	(sqrt PI)

simplify2.3s

Counts

615 → 615

Iterations

Iter	Nodes
1	2074
0	588

prune22.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify25.0ms

Iterations

Iter	Nodes
2	71
1	71
0	54

end0.0ms

sample35.7s

Algorithm

intervals

Results

12.0s	3849×	body	10240	exit
9.2s	3317×	body	1280	valid
5.2s	2511×	body	640	valid
3.9s	1479×	body	1280	nan
1.9s	1251×	body	640	nan
1.5s	1311×	body	320	valid
710.0ms	557×	body	320	nan
474.0ms	618×	body	160	valid
245.0ms	317×	body	160	nan
128.0ms	276×	body	80	nan
98.0ms	311×	body	80	valid