Details

sample1.7s

Algorithm

intervals

Results

652.0ms	129×	body	10240	exit
374.0ms	115×	body	1280	valid
168.0ms	83×	body	640	valid
116.0ms	43×	body	1280	nan
91.0ms	43×	body	640	nan
90.0ms	34×	body	320	valid
34.0ms	22×	body	320	nan
18.0ms	19×	body	160	valid
18.0ms	14×	body	160	nan
4.0ms	9×	body	80	valid
4.0ms	8×	body	80	nan

simplify1.4s

Counts: 1 → 1

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize134.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
1.0b	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
0.5b	(/ (+ (+ (/ 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)))

rewrite25.2s

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:

Slowest

24.9s	(/ (+ (+ (/ 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)))
157.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
57.0ms	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
3.0ms	(sqrt (* PI 2))

series764.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

411.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
272.0ms	(/ (+ (+ (/ 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)))
80.0ms	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
0.0ms	(sqrt (* PI 2))

simplify2.7s

Counts: 386 → 386

prune17.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize346.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (- (/ 12.507343278686905 (+ z 4)) (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099)) (+ (* -1259.1392167224028 z) (* (+ z 1) 676.5203681218851)))
1.0b	(+ (* -176.6150291621406 (+ 6 z)) (* (+ -1 (+ z 4)) 9.984369578019572e-06))

rewrite504.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`associate-l`
13×	`flip3-+` `flip-+`
11×	`add-exp-log`
9×	`pow1` `add-cube-cbrt`
8×	`frac-times` `add-cbrt-cube` `associate-*l/`
7×	`associate-r`
6×	`unpow-prod-down` `associate-*r/` `frac-sub` `add-log-exp`
4×	`frac-add` `prod-exp` `insert-posit16` `distribute-lft-out` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-pow1` `pow-prod-down` `*-commutative` `sqrt-prod` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `+-commutative` `sum-log` `times-frac` `pow1/2` `pow-exp`

Counts

4 → 99

Calls

4 calls:

Slowest

336.0ms	(* (- (/ 12.507343278686905 (+ z 4)) (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099)) (+ (* -1259.1392167224028 z) (* (+ z 1) 676.5203681218851)))
150.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
11.0ms	(+ (* -176.6150291621406 (+ 6 z)) (* (+ -1 (+ z 4)) 9.984369578019572e-06))
5.0ms	(sqrt (* PI 2))

series517.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

368.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
91.0ms	(* (- (/ 12.507343278686905 (+ z 4)) (+ (/ 771.3234287776531 (+ 2 z)) 0.9999999999998099)) (+ (* -1259.1392167224028 z) (* (+ z 1) 676.5203681218851)))
58.0ms	(+ (* -176.6150291621406 (+ 6 z)) (* (+ -1 (+ z 4)) 9.984369578019572e-06))
0.0ms	(sqrt (* PI 2))

simplify3.0s

Counts: 109 → 109

prune5.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize392.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
1.0b	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (/ -176.6150291621406 (+ -1 (+ z 4))) (/ -176.6150291621406 (+ -1 (+ z 4))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

221×	`*-un-lft-identity`
124×	`times-frac`
89×	`add-sqr-sqrt`
81×	`distribute-lft-out`
72×	`add-cube-cbrt`
39×	`swap-sqr`
31×	`associate-l`
25×	`associate-r`
24×	`unpow-prod-down` `add-exp-log`
21×	`add-cbrt-cube`
18×	`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×	`insert-posit16` `add-log-exp`
3×	`pow-unpow` `pow-exp` `sqr-pow`
2×	`pow-to-exp` `sqrt-pow1` `pow-prod-down` `*-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/` `associate-r/` `pow-sqr` `pow-prod-up`

Counts

4 → 209

Calls

4 calls:

Slowest

157.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
93.0ms	(* (/ -176.6150291621406 (+ -1 (+ z 4))) (/ -176.6150291621406 (+ -1 (+ z 4))))
7.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
3.0ms	(sqrt (* PI 2))

series505.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

381.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
64.0ms	(* (/ -176.6150291621406 (+ -1 (+ z 4))) (/ -176.6150291621406 (+ -1 (+ z 4))))
60.0ms	(pow (/ 9.984369578019572e-06 (+ 6 z)) 3)
0.0ms	(sqrt (* PI 2))

simplify2.6s

Counts: 219 → 219

prune13.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize161.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
1.0b	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
0.5b	(/ (/ (+ (+ (/ 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))) (exp 6))

rewrite24.1s

Algorithm

rewrite-expression-head

Rules

3155×	`*-un-lft-identity`
2362×	`distribute-lft-out`
944×	`times-frac`
301×	`add-sqr-sqrt`
296×	`add-cube-cbrt`
136×	`associate-/l*`
132×	`exp-sum`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
7×	`pow1`
6×	`unpow-prod-down` `add-log-exp`
5×	`div-inv`
4×	`associate-r` `insert-posit16`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `unswap-sqr`
2×	`sqrt-pow1` `sqrt-prod` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow1/2` `pow-prod-down` `frac-add` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/`

Counts

4 → 623

Calls

4 calls:

Slowest

23.9s	(/ (/ (+ (+ (/ 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))) (exp 6))
183.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
28.0ms	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
5.0ms	(sqrt (* PI 2))

series829.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

404.0ms	(* (pow (+ (+ z 0.5) 6) (+ (+ z -1) 0.5)) (sqrt (* PI 2)))
324.0ms	(/ (/ (+ (+ (/ 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))) (exp 6))
101.0ms	(+ (/ 1.5056327351493116e-07 (+ 7 z)) (/ -0.13857109526572012 (- z -5)))
0.0ms	(sqrt (* PI 2))

simplify3.2s

Counts: 633 → 633

prune22.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch33.0ms

end0.0ms

sample49.0s

Algorithm

intervals

Results

17.9s	3994×	body	10240	exit
11.6s	3324×	body	1280	valid
6.2s	2516×	body	640	valid
5.2s	1482×	body	1280	nan
3.3s	1259×	body	640	nan
2.1s	1262×	body	320	valid
940.0ms	598×	body	320	nan
602.0ms	638×	body	160	valid
310.0ms	320×	body	160	nan
214.0ms	366×	body	80	valid
123.0ms	294×	body	80	nan