Details

sample1.3s

Algorithm

intervals

Results

645.0ms	127×	body	10240	exit
151.0ms	259×	body	80	valid
147.0ms	44×	body	1280	nan
111.0ms	42×	body	640	nan
39.0ms	24×	body	320	nan
15.0ms	12×	body	160	nan
6.0ms	11×	body	80	nan

simplify2.5s

Counts: 1 → 1

prune85.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize162.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
1.0b	(+ (+ (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z)))))) (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))))

rewrite13.4s

Algorithm

rewrite-expression-head

Rules

274×	`frac-add`
238×	`*-un-lft-identity`
185×	`add-log-exp`
163×	`distribute-lft-out`
149×	`sum-log`
110×	`flip3-+` `flip-+`
20×	`times-frac`
9×	`distribute-lft-out--`
7×	`pow1`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative`
2×	`sqrt-pow1`
1×	`associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 201

Calls

4 calls:

Slowest

13.3s	(+ (+ (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z)))))) (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))))
101.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
31.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
3.0ms	(sqrt (* 2 PI))

series428.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

258.0ms	(+ (+ (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z)))))) (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z))))
102.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
68.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
0.0ms	(sqrt (* 2 PI))

simplify4.6s

Counts: 211 → 211

prune10.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize681.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) 3)
1.0b	(sqrt (* 2 PI))
1.0b	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
1.0b	(* (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

314×	`*-un-lft-identity`
96×	`times-frac`
86×	`distribute-lft-out`
48×	`distribute-lft-out--`
22×	`swap-sqr`
17×	`unpow-prod-down` `cube-prod` `frac-add`
16×	`add-sqr-sqrt` `pow1`
15×	`flip3-+` `flip-+`
14×	`add-cube-cbrt`
11×	`cube-div`
9×	`frac-times`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`pow-unpow`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l/` `associate-r/`
2×	`cube-mult` `pow-to-exp` `pow-pow` `sqrt-pow1` `unpow3` `pow-prod-down` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/2` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod` `cbrt-unprod` `unswap-sqr`

Counts

4 → 165

Calls

4 calls:

Slowest

1.2s	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
240.0ms	(* (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))))
67.0ms	(pow (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) 3)
3.0ms	(sqrt (* 2 PI))

series319.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

139.0ms	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
95.0ms	(pow (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) 3)
86.0ms	(* (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))))
0.0ms	(sqrt (* 2 PI))

simplify4.2s

Counts: 175 → 175

prune10.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize405.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) 3)
1.0b	(sqrt (* 2 PI))
1.0b	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
1.0b	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity`
70×	`distribute-lft-out`
26×	`unpow-prod-down` `cube-prod`
19×	`cube-div`
17×	`frac-add`
16×	`times-frac`
13×	`add-sqr-sqrt` `flip3-+` `add-cube-cbrt` `flip-+`
10×	`pow1`
9×	`pow-unpow`
8×	`distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 137

Calls

4 calls:

Slowest

1.5s	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
1.3s	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
71.0ms	(pow (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) 3)
5.0ms	(sqrt (* 2 PI))

series443.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

175.0ms	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
171.0ms	(pow (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1 z)) (/ -1259.1392167224028 (- 2 z))))) 3)
97.0ms	(pow (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z))) 3)
0.0ms	(sqrt (* 2 PI))

simplify2.7s

Counts: 147 → 147

prune9.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize389.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(* (/ 12.507343278686905 (- 5 z)) (/ 12.507343278686905 (- 5 z)))
1.0b	(- (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
1.0b	(- (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
108×	`times-frac`
104×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
42×	`distribute-lft-out--`
27×	`swap-sqr`
21×	`associate-r` `associate-l`
20×	`difference-of-squares`
16×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
8×	`associate-/r/` `distribute-lft-out` `add-log-exp`
6×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `unswap-sqr`
2×	`sub-neg` `sqrt-pow1` `diff-log` `pow-prod-down` `frac-sub`
1×	`pow2` `frac-times` `pow-plus` `pow1/2` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod`

Counts

4 → 160

Calls

4 calls:

Slowest

155.0ms	(- (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
137.0ms	(- (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
30.0ms	(* (/ 12.507343278686905 (- 5 z)) (/ 12.507343278686905 (- 5 z)))
3.0ms	(sqrt (* 2 PI))

series223.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

92.0ms	(- (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
72.0ms	(- (/ 771.3234287776531 (+ 2 (- 1 z))) (/ -176.6150291621406 (- 4 z)))
59.0ms	(* (/ 12.507343278686905 (- 5 z)) (/ 12.507343278686905 (- 5 z)))
0.0ms	(sqrt (* 2 PI))

simplify1.5s

Counts: 170 → 170

prune11.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes376.0ms

Accuracy

0% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 0.9b

bsearch74.0ms

end0.0ms

sample40.2s

Algorithm

intervals

Results

21.2s	3847×	body	10240	exit
5.7s	8099×	body	80	valid
5.1s	1536×	body	1280	nan
4.6s	1351×	body	640	nan
2.0s	585×	body	320	nan
998.0ms	320×	body	160	nan
186.0ms	318×	body	80	nan