Details

sample1.4s

Algorithm

intervals

Results

509.0ms	111×	body	10240	exit
334.0ms	113×	body	1280	valid
138.0ms	70×	body	640	valid
113.0ms	45×	body	1280	nan
106.0ms	45×	body	320	valid
77.0ms	38×	body	640	nan
54.0ms	15×	body	160	nan
19.0ms	12×	body	320	nan
18.0ms	20×	body	160	valid
5.0ms	11×	body	80	valid
3.0ms	8×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
3	2391
2	576
1	250
0	55

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize143.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
1.0b	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.2b	(/ (+ (+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099)) (+ (/ -1259.1392167224028 (+ z 1)) (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ -1 (+ z 4))) (/ 9.984369578019572e-06 (+ 6 z))))) (exp (+ (+ z 0.5) 6)))

rewrite24.6s

Algorithm

rewrite-expression-head

Rules

958×	`*-un-lft-identity`
745×	`distribute-lft-out`
543×	`frac-add`
190×	`flip3-+` `flip-+`
140×	`times-frac`
134×	`associate-/l/`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
34×	`exp-sum`
33×	`associate-/l*`
10×	`associate-l` `add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`unpow-prod-down` `add-log-exp`
4×	`associate-/r` `associate-r*` `insert-posit16`
3×	`prod-exp` `unswap-sqr`
2×	`sqrt-pow1` `sqrt-prod` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `unpow-prod-up` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow1/2` `div-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 376

Calls

4 calls:

46.0ms	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
147.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))
24.4s	(/ (+ (+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099)) (+ (/ -1259.1392167224028 (+ z 1)) (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ -1 (+ z 4))) (/ 9.984369578019572e-06 (+ 6 z))))) (exp (+ (+ z 0.5) 6)))

series716.0ms

Counts

4 → 10

Calls

4 calls:

66.0ms	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
376.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
273.0ms	(/ (+ (+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099)) (+ (/ -1259.1392167224028 (+ z 1)) (/ 676.5203681218851 z))) (+ (/ -176.6150291621406 (+ -1 (+ z 4))) (/ 9.984369578019572e-06 (+ 6 z))))) (exp (+ (+ z 0.5) 6)))

simplify3.2s

Counts

386 → 386

Iterations

Iter	Nodes
1	3477
0	651

prune18.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize357.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
1.0b	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
1.0b	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
1.0b	(sqrt (* PI 2))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
152×	`times-frac`
117×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
48×	`swap-sqr`
42×	`distribute-lft-out`
36×	`associate-r` `associate-l`
31×	`add-cbrt-cube` `add-exp-log`
22×	`pow1`
20×	`associate-/r/`
18×	`unpow-prod-down` `cube-prod`
10×	`flip3-+` `flip-+` `div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`pow2` `frac-times` `sqrt-pow1` `pow-plus` `associate-l/` `pow-exp` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `pow1/2` `unpow3` `sqrt-prod` `sqr-pow`

Counts

4 → 247

Calls

4 calls:

51.0ms	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
51.0ms	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
14.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
5.0ms	(sqrt (* PI 2))

series192.0ms

Counts

4 → 10

Calls

4 calls:

58.0ms	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
38.0ms	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
95.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
0.0ms	(sqrt (* PI 2))

simplify1.7s

Counts

257 → 257

Iterations

Iter	Nodes
2	3951
1	1290
0	262

prune17.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize415.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
1.0b	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
1.0b	(pow (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099) 3)
1.0b	(sqrt (* PI 2))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
88×	`times-frac`
72×	`add-sqr-sqrt`
60×	`add-cube-cbrt`
26×	`distribute-lft-out`
24×	`swap-sqr`
22×	`unpow-prod-down` `cube-prod`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r` `associate-l`
16×	`pow1`
12×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`pow-unpow` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cube-div` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `pow-to-exp` `pow-pow` `sqrt-pow1` `unpow3` `pow-prod-down` `sqr-pow`
1×	`pow2` `frac-times` `pow-plus` `pow1/2` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod`

Counts

4 → 186

Calls

4 calls:

50.0ms	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
16.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
32.0ms	(pow (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099) 3)
6.0ms	(sqrt (* PI 2))

series196.0ms

Counts

4 → 10

Calls

4 calls:

35.0ms	(* (/ 9.984369578019572e-06 (+ 6 z)) (/ 9.984369578019572e-06 (+ 6 z)))
97.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
63.0ms	(pow (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099) 3)
0.0ms	(sqrt (* PI 2))

simplify1.9s

Counts

196 → 196

Iterations

Iter	Nodes
2	4749
1	1577
0	320

prune15.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize390.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (/ -0.13857109526572012 (- z -5)) 3)
1.0b	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
1.0b	(pow (/ 1.5056327351493116e-07 (+ 7 z)) 3)
1.0b	(sqrt (* PI 2))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
78×	`times-frac`
69×	`add-sqr-sqrt`
57×	`unpow-prod-down` `cube-prod` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r/` `distribute-lft-out`
10×	`pow1`
9×	`pow-unpow`
6×	`pow-exp` `div-inv` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`cube-div` `cube-mult` `pow-to-exp` `cbrt-undiv` `pow-pow` `unpow3` `div-exp` `sqr-pow`
2×	`sqrt-pow1` `flip3--` `flip--`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 189

Calls

4 calls:

9.0ms	(pow (/ -0.13857109526572012 (- z -5)) 3)
10.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
14.0ms	(pow (/ 1.5056327351493116e-07 (+ 7 z)) 3)
5.0ms	(sqrt (* PI 2))

series203.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(pow (/ -0.13857109526572012 (- z -5)) 3)
80.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
64.0ms	(pow (/ 1.5056327351493116e-07 (+ 7 z)) 3)
0.0ms	(sqrt (* PI 2))

simplify2.5s

Counts

199 → 199

Iterations

Iter	Nodes
2	5601
1	1931
0	381

prune16.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify55.0ms

Iterations

Iter	Nodes
2	116
1	116
0	76

end0.0ms

sample48.8s

Algorithm

intervals

Results

16.9s	3852×	body	10240	exit
11.9s	3367×	body	1280	valid
6.3s	2429×	body	640	valid
4.2s	1457×	body	1280	nan
3.3s	1294×	body	320	valid
2.6s	1193×	body	640	nan
1.3s	613×	body	320	nan
1.2s	669×	body	160	valid
279.0ms	310×	body	160	nan
190.0ms	332×	body	80	valid
129.0ms	294×	body	80	nan