Details

sample1.3s

Algorithm

intervals

Results

462.0ms	121×	body	10240	exit
300.0ms	102×	body	1280	valid
222.0ms	90×	body	640	valid
111.0ms	49×	body	1280	nan
90.0ms	38×	body	640	nan
45.0ms	35×	body	320	valid
20.0ms	16×	body	320	nan
17.0ms	19×	body	160	valid
8.0ms	10×	body	160	nan
6.0ms	14×	body	80	valid
3.0ms	6×	body	80	nan

simplify257.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

256.0ms

(* (* (* (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))))

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize186.0ms

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)))

rewrite1.0s

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

526.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
489.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
7.0ms	(sqrt (* PI 2))
7.0ms	(sqrt (* PI 2))

series775.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

401.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
373.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify13.7s

Counts

64 → 104

Calls

64 calls:

Slowest

813.0ms	(+ (* (+ (/ 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))))))
779.0ms	(+ (* (+ (/ 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))))))
714.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
457.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
435.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))

prune4.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize251.0ms

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)))
0.9b	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))

rewrite569.0ms

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

497.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
53.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
10.0ms	(sqrt PI)
7.0ms	(sqrt (* PI 2))

series798.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

405.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
393.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt PI)

simplify9.5s

Counts

55 → 98

Calls

55 calls:

Slowest

425.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
381.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))
371.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
368.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
348.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))

prune5.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize171.0ms

Local error

Found 4 expressions with local error:

4.5b	(+ (* (log (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (log (sqrt (* PI 2))))
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)))

rewrite530.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`associate-l`
10×	`pow1`
9×	`add-exp-log`
8×	`add-cube-cbrt`
7×	`unpow-prod-down`
6×	`add-cbrt-cube`
5×	`distribute-lft-out` `add-log-exp`
4×	`expm1-log1p-u` `associate-+r+` `log-prod` `sqrt-pow1` `associate-r` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`prod-exp` `unswap-sqr`
2×	`associate-+l+` `pow1/2` `pow-prod-down` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-up` `+-commutative` `sum-log` `fma-def` `distribute-lft-in` `flip3-+` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `distribute-lft-out--` `pow-sub`

Counts

4 → 83

Calls

4 calls:

Slowest

462.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
53.0ms	(+ (* (log (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (log (sqrt (* PI 2))))
7.0ms	(sqrt (* PI 2))
7.0ms	(sqrt (* PI 2))

series567.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

372.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
195.0ms	(+ (* (log (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (log (sqrt (* PI 2))))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify8.3s

Counts

47 → 91

Calls

47 calls:

Slowest

530.0ms	(- (+ (* 0.5 (log (/ 1 z))) (+ (log (* (sqrt 2) (sqrt PI))) 6.5)) (+ (* (log (/ 1 z)) z) (* 24.375 (/ 1 z))))
476.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
423.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
417.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
385.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))

prune4.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize174.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6)))
0.9b	(* (pow (+ (+ z 0.5) 6) (+ 0.5 (+ z -1))) (/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6))))
0.8b	(* (* (pow (+ (+ z 0.5) 6) (+ 0.5 (+ z -1))) (/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6)))) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (/ -0.13857109526572012 (- z -5))))

rewrite31.9s

Algorithm

rewrite-expression-head

Rules

588×	`frac-add`
162×	`flip3-+` `flip-+`
157×	`*-un-lft-identity`
142×	`associate-*r/`
108×	`distribute-lft-out`
70×	`frac-times`
44×	`associate-r`
39×	`add-sqr-sqrt`
35×	`times-frac`
33×	`add-exp-log`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`prod-exp`
11×	`associate-l`
10×	`sqrt-prod`
9×	`pow1` `exp-sum`
7×	`unpow-prod-down` `div-exp` `cbrt-unprod`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-to-exp` `associate-/r` `pow-exp` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `sqr-pow`
2×	`sqrt-pow1` `pow-prod-down` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `unpow-prod-up` `clear-num` `frac-2neg` `distribute-lft-in` `pow1/2` `associate-*l/`

Counts

4 → 299

Calls

4 calls:

Slowest

31.4s	(* (* (pow (+ (+ z 0.5) 6) (+ 0.5 (+ z -1))) (/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6)))) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (/ -0.13857109526572012 (- z -5))))
387.0ms	(* (pow (+ (+ z 0.5) 6) (+ 0.5 (+ z -1))) (/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6))))
83.0ms	(/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6)))
5.0ms	(sqrt (* PI 2))

series1.5s

Counts

4 → 10

Calls

4 calls:

Slowest

814.0ms	(* (* (pow (+ (+ z 0.5) 6) (+ 0.5 (+ z -1))) (/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6)))) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (/ -0.13857109526572012 (- z -5))))
581.0ms	(* (pow (+ (+ z 0.5) 6) (+ 0.5 (+ z -1))) (/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6))))
141.0ms	(/ (sqrt (* PI 2)) (exp (+ (+ z 0.5) 6)))
0.0ms	(sqrt (* PI 2))

simplify2.5m

Counts

353 → 309

Calls

353 calls:

Slowest

2.0s	(+ (* (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))))) (- (* (/ -0.13857109526572012 (- z -5)) (/ -0.13857109526572012 (- z -5))) (* (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (/ -0.13857109526572012 (- z -5)))))
1.5s	(* (exp (+ (+ z 0.5) 6)) (* (* (* (+ z 6) (+ z 7)) (* (+ (* (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4)))) (- (* (/ -176.6150291621406 (+ 3 z)) (/ -176.6150291621406 (+ 3 z))) (* (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))))) (* z (- 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (- z -5)))
1.4s	(* (* (+ (* (/ 9.984369578019572e-06 (+ z 6)) (/ 9.984369578019572e-06 (+ z 6))) (- (* (/ 1.5056327351493116e-07 (+ z 7)) (/ 1.5056327351493116e-07 (+ z 7))) (* (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))))) (* (+ (* (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4)))) (- (* (/ -176.6150291621406 (+ 3 z)) (/ -176.6150291621406 (+ 3 z))) (* (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))))) (* z (- 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (- z -5))
1.2s	(* (exp (+ (+ z 0.5) 6)) (* (* (* (+ z 6) (+ z 7)) (* (+ (* (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4)))) (- (* (/ -176.6150291621406 (+ 3 z)) (/ -176.6150291621406 (+ 3 z))) (* (+ (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))) (/ -176.6150291621406 (+ 3 z))))) (- (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (- z -5)))
1.1s	(* (* (* (+ z 6) (+ z 7)) (* (* (+ (* (/ 771.3234287776531 (+ z 2)) (/ 771.3234287776531 (+ z 2))) (- (* (/ 12.507343278686905 (+ z 4)) (/ 12.507343278686905 (+ z 4))) (* (/ 771.3234287776531 (+ z 2)) (/ 12.507343278686905 (+ z 4))))) (+ 3 z)) (* z (- 0.9999999999998099 (/ -1259.1392167224028 (- z -1)))))) (- z -5))

prune13.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes295.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch50.0ms

end0.0ms

sample49.4s

Algorithm

intervals

Results

16.1s	3960×	body	10240	exit
12.1s	3370×	body	1280	valid
7.2s	2491×	body	640	valid
5.2s	1445×	body	1280	nan
2.8s	1259×	body	640	nan
2.3s	1237×	body	320	valid
1.5s	636×	body	320	nan
774.0ms	332×	body	160	nan
657.0ms	647×	body	160	valid
149.0ms	335×	body	80	valid
127.0ms	282×	body	80	nan