Details

sample1.4s

Algorithm

intervals

Results

417.0ms	116×	body	10240	exit
331.0ms	104×	body	1280	valid
209.0ms	78×	body	640	valid
157.0ms	57×	body	1280	nan
73.0ms	38×	body	640	nan
62.0ms	47×	body	320	valid
19.0ms	14×	body	320	nan
16.0ms	18×	body	160	valid
6.0ms	12×	body	80	nan
4.0ms	11×	body	80	valid
4.0ms	6×	body	160	nan

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
3	2125
2	412
1	139
0	55

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize138.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (/ (* (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))

rewrite17.8s

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:

17.4s	(* (/ (* (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)))))
187.0ms	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
190.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
7.0ms	(sqrt (* PI 2))

series1.9s

Counts

4 → 10

Calls

4 calls:

880.0ms	(* (/ (* (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)))))
605.0ms	(/ (* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (- z -6) 0.5)))
366.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify7.9s

Counts

284 → 284

Iterations

Iter	Nodes
1	4671
0	939

prune12.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ z 6.5))
0.6b	(* (* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (exp (+ z 6.5))) (sqrt PI)) (+ (+ (+ (/ 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 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (exp (+ z 6.5))) (sqrt PI))
1.0b	(sqrt PI)

rewrite13.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 257

Calls

4 calls:

10.0ms	(exp (+ z 6.5))
13.1s	(* (* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (exp (+ z 6.5))) (sqrt PI)) (+ (+ (+ (/ 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)))))
136.0ms	(* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (exp (+ z 6.5))) (sqrt PI))
2.0ms	(sqrt PI)

series1.5s

Counts

4 → 10

Calls

4 calls:

19.0ms	(exp (+ z 6.5))
883.0ms	(* (* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (exp (+ z 6.5))) (sqrt PI)) (+ (+ (+ (/ 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)))))
575.0ms	(* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (exp (+ z 6.5))) (sqrt PI))
0.0ms	(sqrt PI)

simplify6.7s

Counts

267 → 267

Iterations

Iter	Nodes
1	4380
0	881

prune13.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize164.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))
0.6b	(* (* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (* (exp z) (exp 6.5))) (sqrt PI)) (+ (+ (+ (/ 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 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (* (exp z) (exp 6.5))) (sqrt PI))
1.0b	(sqrt PI)

rewrite13.7s

Algorithm

rewrite-expression-head

Rules

444×	`frac-add`
173×	`*-un-lft-identity`
152×	`flip3-+` `flip-+`
115×	`distribute-lft-out`
71×	`associate-*l/`
68×	`frac-times` `associate-*r/`
47×	`add-cbrt-cube`
45×	`distribute-rgt-in` `distribute-lft-in`
44×	`exp-sum`
38×	`add-sqr-sqrt`
36×	`prod-diff`
35×	`add-exp-log`
34×	`associate-r`
33×	`add-cube-cbrt`
24×	`prod-exp` `cbrt-unprod`
12×	`pow1`
8×	`cbrt-undiv` `div-exp`
7×	`sqrt-prod`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative` `unswap-sqr`
1×	`exp-neg` `rem-sqrt-square` `exp-prod` `mul-1-neg` `sqrt-pow1` `times-frac` `exp-to-pow` `pow1/2` `div-inv` `rem-exp-log`

Counts

4 → 303

Calls

4 calls:

29.0ms	(exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))
13.5s	(* (* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (* (exp z) (exp 6.5))) (sqrt PI)) (+ (+ (+ (/ 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)))))
132.0ms	(* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (* (exp z) (exp 6.5))) (sqrt PI))
1.0ms	(sqrt PI)

series1.9s

Counts

4 → 10

Calls

4 calls:

133.0ms	(exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))
990.0ms	(* (* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (* (exp z) (exp 6.5))) (sqrt PI)) (+ (+ (+ (/ 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)))))
760.0ms	(* (/ (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (* (exp z) (exp 6.5))) (sqrt PI))
0.0ms	(sqrt PI)

simplify7.1s

Counts

313 → 313

Iterations

Iter	Nodes
1	5023
0	1078

prune16.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize160.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI)) (+ (+ (+ (/ 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)))))
0.6b	(/ (* (* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI)) (+ (+ (+ (/ 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) (exp 6.5)))
1.0b	(* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI))
1.0b	(sqrt PI)

rewrite19.0s

Algorithm

rewrite-expression-head

Rules

1332×	`frac-add`
456×	`flip3-+` `flip-+`
282×	`associate-*l/`
278×	`exp-neg` `mul-1-neg`
275×	`associate-*r/`
272×	`frac-times`
206×	`associate-/l/`
148×	`*-un-lft-identity`
139×	`un-div-inv`
115×	`distribute-lft-out`
50×	`add-cbrt-cube`
38×	`add-exp-log`
34×	`associate-r`
25×	`prod-exp` `cbrt-unprod`
19×	`pow1`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`cbrt-undiv` `div-exp` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `times-frac` `pow1/2` `div-inv` `associate-/l`

Counts

4 → 537

Calls

4 calls:

13.1s	(* (* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI)) (+ (+ (+ (/ 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)))))
5.8s	(/ (* (* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI)) (+ (+ (+ (/ 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) (exp 6.5)))
113.0ms	(* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI))
1.0ms	(sqrt PI)

series1.9s

Counts

4 → 10

Calls

4 calls:

610.0ms	(* (* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI)) (+ (+ (+ (/ 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)))))
952.0ms	(/ (* (* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI)) (+ (+ (+ (/ 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) (exp 6.5)))
372.0ms	(* (* (sqrt 2) (exp (* -1 (* (log (+ z 6.5)) (- 0.5 z))))) (sqrt PI))
0.0ms	(sqrt PI)

simplify7.4s

Counts

547 → 547

Iterations

Iter	Nodes
1	5660
0	1124

prune31.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes492.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify30.0ms

Iterations

Iter	Nodes
3	84
2	84
1	78
0	57

end0.0ms

sample47.8s

Algorithm

intervals

Results

16.5s	3829×	body	10240	exit
11.1s	3314×	body	1280	valid
7.0s	2556×	body	640	valid
4.9s	1508×	body	1280	nan
3.2s	1286×	body	640	nan
2.1s	1277×	body	320	valid
1.3s	618×	body	320	nan
616.0ms	610×	body	160	valid
313.0ms	294×	body	160	nan
185.0ms	326×	body	80	valid
150.0ms	285×	body	80	nan