Details

sample1.8s

Algorithm

intervals

Results

814.0ms	125×	body	10240	exit
322.0ms	117×	body	1280	valid
165.0ms	71×	body	640	valid
143.0ms	44×	body	640	nan
98.0ms	46×	body	1280	nan
44.0ms	28×	body	320	nan
42.0ms	37×	body	320	valid
37.0ms	15×	body	80	nan
13.0ms	16×	body	160	valid
9.0ms	19×	body	80	valid
7.0ms	8×	body	160	nan

simplify198.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

198.0ms

(* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1) 1))) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8))))

prune81.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize189.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

rewrite844.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`associate-l`
20×	`add-sqr-sqrt`
14×	`unpow-prod-down` `add-exp-log`
10×	`pow1` `add-cube-cbrt` `distribute-lft-out`
8×	`add-cbrt-cube` `associate-r`
6×	`prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-pow1` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-up` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `distribute-lft-out--` `pow-sub`

Counts

4 → 96

Calls

4 calls:

Slowest

431.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
404.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
4.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series843.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

428.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
415.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify14.0s

Counts

64 → 104

Calls

64 calls:

Slowest

882.0ms	(+ (* (+ (/ 12.507343278686905 (+ z 4)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))) (/ -0.13857109526572012 (- z -5)))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))) (* (+ (/ 9.984369578019572e-06 (+ 7 (- z 1))) (/ 1.5056327351493116e-07 (+ z 7))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))))
806.0ms	(+ (* (+ (/ 12.507343278686905 (+ z 4)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))) (/ -0.13857109526572012 (- z -5)))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))) (* (+ (/ 9.984369578019572e-06 (+ 7 (- z 1))) (/ 1.5056327351493116e-07 (+ z 7))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))))
479.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
434.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
425.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))

prune4.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize220.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt PI)
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity` `add-exp-log`
16×	`add-sqr-sqrt`
12×	`associate-l`
11×	`add-cbrt-cube`
10×	`pow1` `associate-r` `prod-exp` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`unpow-prod-down`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `unswap-sqr`
2×	`pow-to-exp` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `pow-sub` `sqr-pow`
1×	`unpow-prod-up` `rem-sqrt-square` `associate-*r/` `associate-+l-` `distribute-lft-out--`

Counts

4 → 90

Calls

4 calls:

Slowest

402.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
85.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
4.0ms	(sqrt (* PI 2))
1.0ms	(sqrt PI)

series745.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

390.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
355.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt PI)

simplify9.4s

Counts

55 → 98

Calls

55 calls:

Slowest

414.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
411.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
409.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
393.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))
379.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))

prune4.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize143.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube` `prod-exp`
12×	`add-sqr-sqrt` `associate-r` `sqrt-prod`
10×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `pow-prod-down` `associate-l/` `pow-exp` `associate-r/` `*-commutative` `pow-sub`

Counts

4 → 84

Calls

4 calls:

Slowest

64.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
47.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series812.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

416.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
395.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify6.3s

Counts

46 → 92

Calls

46 calls:

Slowest

620.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
360.0ms	(+ (log (* (sqrt 2) (pow (+ z 6.5) (- z 0.5)))) (log (sqrt PI)))
332.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
314.0ms	(+ (+ (log (sqrt 2)) (log (pow (+ z 6.5) (- z 0.5)))) (log (sqrt PI)))
313.0ms	(+ (log (* (sqrt 2) (pow (+ z 6.5) (- z 0.5)))) (log (sqrt PI)))

prune3.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize187.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log`
12×	`add-sqr-sqrt` `sqrt-prod`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
7×	`prod-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `cbrt-unprod`
1×	`pow-to-exp` `associate-l` `pow-prod-down` `associate-l/` `pow-exp` `associate-r/` `*-commutative` `pow-sub`

Counts

4 → 74

Calls

4 calls:

Slowest

48.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series353.0ms

Counts

4 → 6

Calls

4 calls:

Slowest

352.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify2.9s

Counts

33 → 80

Calls

33 calls:

Slowest

397.0ms	(+ (log (* (sqrt 2) (pow (+ z 6.5) (- z 0.5)))) (log (sqrt PI)))
352.0ms	(+ (+ (log (sqrt 2)) (log (pow (+ z 6.5) (- z 0.5)))) (log (sqrt PI)))
308.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
294.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
276.0ms	(* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI))

prune3.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

regimes503.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch33.0ms

end0.0ms

sample48.5s

Algorithm

intervals

Results

16.8s	3884×	body	10240	exit
10.8s	3368×	body	1280	valid
6.8s	2526×	body	640	valid
6.2s	1501×	body	1280	nan
2.8s	1257×	body	640	nan
2.1s	1243×	body	320	valid
1.3s	569×	body	320	nan
559.0ms	575×	body	160	valid
366.0ms	306×	body	160	nan
228.0ms	373×	body	80	valid
134.0ms	328×	body	80	nan