Details

sample1.8s

Algorithm

intervals

Results

734.0ms	115×	body	1280	valid
401.0ms	120×	body	10240	exit
195.0ms	76×	body	640	valid
167.0ms	62×	body	1280	nan
91.0ms	34×	body	320	valid
84.0ms	49×	body	640	nan
27.0ms	10×	body	80	nan
23.0ms	24×	body	160	valid
17.0ms	15×	body	320	nan
8.0ms	9×	body	160	nan
4.0ms	9×	body	80	valid

simplify1.0s

Counts: 1 → 1

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize145.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
0.9b	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))

rewrite895.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `associate-l`
9×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down`
6×	`prod-exp` `distribute-lft-out` `add-log-exp`
4×	`associate-/r` `times-frac` `div-exp` `associate-r*` `insert-posit16`
3×	`associate-+l-` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `sqrt-pow1` `exp-sum` `associate-*l/` `pow-exp` `sqrt-prod` `cbrt-unprod` `pow-sub` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `pow1/2` `exp-diff` `pow-prod-down` `associate-/r/` `-commutative` `flip-+` `div-inv` `associate-/l` `distribute-lft-out--` `associate-/l/`

Counts

4 → 85

Calls

4 calls:

Slowest

447.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
398.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
44.0ms	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
5.0ms	(sqrt (* PI 2))

series1.0s

Counts

4 → 10

Calls

4 calls:

Slowest

599.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
403.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
38.0ms	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
0.0ms	(sqrt (* PI 2))

simplify1.6s

Counts: 95 → 95

prune3.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize134.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
0.3b	(* (/ (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ 7 (- z 1)))) (exp 0.5)) (+ (+ (+ (+ (/ 771.3234287776531 (+ 2 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099) (/ 676.5203681218851 z))) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (+ 6 z)) (/ 1.5056327351493116e-07 (+ 7 z))))) (/ -0.13857109526572012 (- z -5))))

rewrite32.2s

Algorithm

rewrite-expression-head

Rules

616×	`frac-add`
171×	`flip3-+` `flip-+`
166×	`*-un-lft-identity`
115×	`distribute-lft-out`
74×	`frac-times` `associate-*r/`
42×	`associate-l`
40×	`times-frac`
34×	`add-sqr-sqrt`
29×	`associate-r`
24×	`add-cube-cbrt`
23×	`add-exp-log`
20×	`add-cbrt-cube`
12×	`prod-exp`
9×	`pow1` `div-exp`
7×	`unpow-prod-down`
6×	`cbrt-unprod` `add-log-exp`
5×	`cbrt-undiv` `unswap-sqr`
4×	`insert-posit16` `div-inv`
3×	`associate-+r-` `exp-diff` `exp-sum` `associate-/r/`
2×	`pow-to-exp` `sqrt-pow1` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `sqrt-prod` `sqr-pow`
1×	`distribute-rgt-in` `unpow-prod-up` `+-commutative` `sum-log` `distribute-lft-in` `pow1/2` `associate-+l-` `distribute-lft-out--` `pow-sub`

Counts

4 → 286

Calls

4 calls:

Slowest

31.7s	(* (/ (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ 7 (- z 1)))) (exp 0.5)) (+ (+ (+ (+ (/ 771.3234287776531 (+ 2 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099) (/ 676.5203681218851 z))) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (+ 6 z)) (/ 1.5056327351493116e-07 (+ 7 z))))) (/ -0.13857109526572012 (- z -5))))
459.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
33.0ms	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
3.0ms	(sqrt (* PI 2))

series1.4s

Counts

4 → 10

Calls

4 calls:

Slowest

1.0s	(* (/ (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ 7 (- z 1)))) (exp 0.5)) (+ (+ (+ (+ (/ 771.3234287776531 (+ 2 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099) (/ 676.5203681218851 z))) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (+ 6 z)) (/ 1.5056327351493116e-07 (+ 7 z))))) (/ -0.13857109526572012 (- z -5))))
365.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
35.0ms	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
0.0ms	(sqrt (* PI 2))

simplify15.4s

Counts: 296 → 296

prune15.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize180.0ms

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)))

rewrite919.0ms

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×	`sqrt-pow1` `sqrt-prod` `insert-posit16` `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 → 88

Calls

4 calls:

Slowest

460.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
446.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
6.0ms	(sqrt (* PI 2))
5.0ms	(sqrt (* PI 2))

series675.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

361.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
313.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify2.2s

Counts: 96 → 96

prune4.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize208.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
0.3b	(* (/ (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ 7 (- z 1)))) (sqrt (exp 0.5))) (+ (+ (+ (+ (/ 771.3234287776531 (+ 2 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099) (/ 676.5203681218851 z))) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (+ 6 z)) (/ 1.5056327351493116e-07 (+ 7 z))))) (/ -0.13857109526572012 (- z -5))))

rewrite31.4s

Algorithm

rewrite-expression-head

Rules

616×	`frac-add`
181×	`*-un-lft-identity`
171×	`flip3-+` `flip-+`
115×	`distribute-lft-out`
80×	`times-frac`
74×	`frac-times` `associate-*r/`
69×	`associate-l`
52×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
30×	`sqrt-prod`
29×	`associate-r`
28×	`add-exp-log`
20×	`add-cbrt-cube`
12×	`prod-exp`
9×	`pow1` `div-exp`
7×	`unpow-prod-down` `div-inv`
6×	`associate-+r-` `exp-diff` `exp-sum` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`insert-posit16`
2×	`pow-to-exp` `sqrt-pow1` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `sqr-pow`
1×	`distribute-rgt-in` `unpow-prod-up` `+-commutative` `sum-log` `distribute-lft-in` `pow1/2` `associate-+l-` `distribute-lft-out--` `pow-sub`

Counts

4 → 314

Calls

4 calls:

Slowest

30.9s	(* (/ (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ 7 (- z 1)))) (sqrt (exp 0.5))) (+ (+ (+ (+ (/ 771.3234287776531 (+ 2 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099) (/ 676.5203681218851 z))) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (+ 6 z)) (/ 1.5056327351493116e-07 (+ 7 z))))) (/ -0.13857109526572012 (- z -5))))
464.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
28.0ms	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
5.0ms	(sqrt (* PI 2))

series1.5s

Counts

4 → 10

Calls

4 calls:

Slowest

1.1s	(* (/ (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ 7 (- z 1)))) (sqrt (exp 0.5))) (+ (+ (+ (+ (/ 771.3234287776531 (+ 2 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099) (/ 676.5203681218851 z))) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (+ 6 z)) (/ 1.5056327351493116e-07 (+ 7 z))))) (/ -0.13857109526572012 (- z -5))))
413.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
25.0ms	(+ (/ -176.6150291621406 (- z -3)) 0.9999999999998099)
0.0ms	(sqrt (* PI 2))

simplify14.3s

Counts: 324 → 324

prune16.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch26.0ms

end0.0ms

sample48.6s

Algorithm

intervals

Results

16.7s	3989×	body	10240	exit
12.4s	3382×	body	1280	valid
5.6s	2492×	body	640	valid
4.7s	1477×	body	1280	nan
3.6s	1236×	body	640	nan
1.8s	1224×	body	320	valid
1.0s	632×	body	320	nan
746.0ms	650×	body	160	valid
678.0ms	323×	body	160	nan
604.0ms	325×	body	80	valid
164.0ms	303×	body	80	nan