Details

sample1.9s

Algorithm

intervals

Results

896.0ms	137×	body	10240	exit
321.0ms	102×	body	1280	valid
210.0ms	78×	body	640	valid
131.0ms	56×	body	1280	nan
108.0ms	41×	body	640	nan
58.0ms	45×	body	320	valid
36.0ms	27×	body	320	nan
19.0ms	23×	body	160	valid
14.0ms	15×	body	160	nan
4.0ms	9×	body	80	valid
2.0ms	7×	body	80	nan

simplify969.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2093
2	410
1	139
0	55

prune79.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize203.0ms

Local error

Found 4 expressions with local error:

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)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite909.0ms

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:

450.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
447.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))
6.0ms	(sqrt (* PI 2))

series908.0ms

Counts

4 → 8

Calls

4 calls:

426.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
482.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify3.6s

Counts

96 → 96

Iterations

Iter	Nodes
3	6266
2	1324
1	399
0	159

prune3.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize119.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0m

Algorithm

rewrite-expression-head

Rules

264×	`frac-add`
102×	`associate-*r/`
96×	`times-frac`
95×	`*-un-lft-identity`
55×	`flip3-+` `flip-+`
52×	`associate-l`
48×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`unpow-prod-down`
34×	`frac-times`
28×	`distribute-lft-out`
27×	`unpow-prod-up`
25×	`exp-sum`
24×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate-/l*`
9×	`sub-neg` `div-exp` `associate--r-` `sqr-pow`
6×	`cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `pow-prod-down` `insert-posit16`
3×	`pow-to-exp` `cbrt-undiv` `pow-exp`
2×	`sqrt-pow1` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow1/2` `associate-r` `associate-l/` `-commutative` `sqrt-prod` `pow-sub` `associate-/l/`

Counts

4 → 254

Calls

4 calls:

3.0m	(* (/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6)))) (* (sqrt (* PI 2)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 12.507343278686905 (+ 4 z)) (+ (+ (+ (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (/ -1259.1392167224028 (+ 1 z))) (/ 771.3234287776531 (+ 2 z))) (/ 676.5203681218851 z)))) (/ -0.13857109526572012 (- z -5)))))
144.0ms	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
30.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
3.0ms	(sqrt (* PI 2))

series1.1s

Counts

4 → 10

Calls

4 calls:

807.0ms	(* (/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6)))) (* (sqrt (* PI 2)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 12.507343278686905 (+ 4 z)) (+ (+ (+ (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (/ -1259.1392167224028 (+ 1 z))) (/ 771.3234287776531 (+ 2 z))) (/ 676.5203681218851 z)))) (/ -0.13857109526572012 (- z -5)))))
281.0ms	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
25.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
0.0ms	(sqrt (* PI 2))

simplify6.9s

Counts

264 → 264

Iterations

Iter	Nodes
1	3425
0	954

prune9.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize241.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
0.9b	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
0.9b	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
1.0b	(sqrt (* PI 2))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
48×	`times-frac`
33×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
25×	`unpow-prod-down`
22×	`distribute-lft-out`
15×	`unpow-prod-up`
14×	`pow1`
13×	`exp-sum`
12×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`swap-sqr` `add-log-exp`
5×	`sub-neg` `associate--r-` `sqr-pow`
4×	`frac-times` `associate-/r` `associate-r` `associate-l*` `insert-posit16`
3×	`div-exp`
2×	`sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-plus` `pow1/2` `pow-exp` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod` `cbrt-unprod` `div-inv` `pow-sub` `unswap-sqr` `associate-/l/`

Counts

4 → 146

Calls

4 calls:

28.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
127.0ms	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
151.0ms	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
5.0ms	(sqrt (* PI 2))

series338.0ms

Counts

4 → 10

Calls

4 calls:

37.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
256.0ms	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
44.0ms	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
0.0ms	(sqrt (* PI 2))

simplify2.0s

Counts

156 → 156

Iterations

Iter	Nodes
2	3040
1	845
0	339

prune8.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize265.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
0.9b	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
1.0b	(* (cbrt (exp (+ 0.5 (+ z 6)))) (cbrt (exp (+ 0.5 (+ z 6)))))
1.0b	(sqrt (* PI 2))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
21×	`pow1`
20×	`cbrt-prod`
16×	`add-cube-cbrt`
13×	`swap-sqr`
11×	`associate-r` `associate-l`
8×	`add-exp-log`
7×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`add-cbrt-cube` `pow1/3` `add-log-exp`
5×	`unswap-sqr`
4×	`frac-times` `exp-sum` `pow-prod-down` `insert-posit16`
3×	`pow-sqr` `pow-prod-up`
2×	`pow2` `sqrt-pow1` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow1/2` `sqrt-prod`

Counts

4 → 110

Calls

4 calls:

21.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
145.0ms	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
119.0ms	(* (cbrt (exp (+ 0.5 (+ z 6)))) (cbrt (exp (+ 0.5 (+ z 6)))))
5.0ms	(sqrt (* PI 2))

series306.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
57.0ms	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
221.0ms	(* (cbrt (exp (+ 0.5 (+ z 6)))) (cbrt (exp (+ 0.5 (+ z 6)))))
0.0ms	(sqrt (* PI 2))

simplify3.2s

Counts

120 → 120

Iterations

Iter	Nodes
3	6147
2	1428
1	468
0	181

prune6.9s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes342.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify61.0ms

Iterations

Iter	Nodes
2	108
1	108
0	72

end0.0ms

sample48.1s

Algorithm

intervals

Results

18.0s	3891×	body	10240	exit
11.3s	3378×	body	1280	valid
5.8s	2489×	body	640	valid
4.1s	1477×	body	1280	nan
3.8s	1243×	body	640	nan
2.0s	1274×	body	320	valid
1.4s	605×	body	320	nan
596.0ms	620×	body	160	valid
254.0ms	307×	body	160	nan
166.0ms	314×	body	80	valid
135.0ms	269×	body	80	nan