Details

sample1.0s

Algorithm

intervals

Results

288.0ms	111×	body	10240	exit
274.0ms	106×	body	1280	valid
111.0ms	43×	body	640	nan
93.0ms	79×	body	640	valid
82.0ms	46×	body	1280	nan
45.0ms	43×	body	320	valid
14.0ms	17×	body	320	nan
14.0ms	20×	body	160	valid
8.0ms	13×	body	160	nan
4.0ms	14×	body	80	valid
3.0ms	12×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	2825
2	447
1	133
0	55

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize220.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (+ (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 0.9999999999998099) (+ (+ (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (- (+ z 4.0) 1.0)))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))))) (pow (+ (+ 7.0 (- z 1.0)) 0.5) (- z (- 1.0 0.5))))
0.7b	(* (* (+ (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 0.9999999999998099) (+ (+ (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (- (+ z 4.0) 1.0)))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))))) (pow (+ (+ 7.0 (- z 1.0)) 0.5) (- z (- 1.0 0.5)))) (/ (sqrt (* PI 2.0)) (exp (+ (+ 7.0 (- z 1.0)) 0.5))))
1.0b	(/ (sqrt (* PI 2.0)) (exp (+ (+ 7.0 (- z 1.0)) 0.5)))
1.0b	(sqrt (* PI 2.0))

rewrite3.5m

Algorithm

rewrite-expression-head

Rules

1824×	`frac-add`
618×	`flip3-+` `flip-+`
411×	`frac-times` `associate-*l/`
249×	`pow-sub`
188×	`*-un-lft-identity`
131×	`distribute-lft-out`
34×	`associate-r`
32×	`times-frac`
31×	`add-sqr-sqrt` `associate-l`
30×	`add-exp-log`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
17×	`prod-exp`
10×	`sqrt-prod`
9×	`pow1` `exp-sum`
7×	`unpow-prod-down` `cbrt-unprod`
5×	`div-exp`
4×	`associate-/r` `associate-r/` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `cbrt-undiv` `unpow-prod-up` `pow-exp` `unswap-sqr`
2×	`associate-+r-` `sqrt-pow1` `exp-diff` `pow-prod-down` `associate-/r/` `*-commutative` `associate-+l-` `div-inv` `sqr-pow`
1×	`clear-num` `sub-neg` `frac-2neg` `pow1/2` `distribute-lft-out--` `associate--r-`

Counts

4 → 645

Calls

4 calls:

1.5m	(* (+ (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 0.9999999999998099) (+ (+ (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (- (+ z 4.0) 1.0)))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))))) (pow (+ (+ 7.0 (- z 1.0)) 0.5) (- z (- 1.0 0.5))))
2.0m	(* (* (+ (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 0.9999999999998099) (+ (+ (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (- (+ z 4.0) 1.0)))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))))) (pow (+ (+ 7.0 (- z 1.0)) 0.5) (- z (- 1.0 0.5)))) (/ (sqrt (* PI 2.0)) (exp (+ (+ 7.0 (- z 1.0)) 0.5))))
380.0ms	(/ (sqrt (* PI 2.0)) (exp (+ (+ 7.0 (- z 1.0)) 0.5)))
3.0ms	(sqrt (* PI 2.0))

series994.0ms

Counts

4 → 10

Calls

4 calls:

288.0ms	(* (+ (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 0.9999999999998099) (+ (+ (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (- (+ z 4.0) 1.0)))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))))) (pow (+ (+ 7.0 (- z 1.0)) 0.5) (- z (- 1.0 0.5))))
610.0ms	(* (* (+ (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 0.9999999999998099) (+ (+ (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (- (+ z 4.0) 1.0)))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))))) (pow (+ (+ 7.0 (- z 1.0)) 0.5) (- z (- 1.0 0.5)))) (/ (sqrt (* PI 2.0)) (exp (+ (+ 7.0 (- z 1.0)) 0.5))))
97.0ms	(/ (sqrt (* PI 2.0)) (exp (+ (+ 7.0 (- z 1.0)) 0.5)))
0.0ms	(sqrt (* PI 2.0))

simplify786.0ms

Counts

655 → 655

Iterations

Iter	Nodes
done	5000
0	1598

prune14.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize485.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ 12.507343278686905 (- z (- 1.0 5.0)))) 3)
1.0b	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
1.0b	(pow (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))) 3)
1.0b	(sqrt (* PI 2.0))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

217×	`*-un-lft-identity`
96×	`times-frac`
56×	`distribute-lft-out`
55×	`unpow-prod-down` `cube-prod`
45×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`pow-unpow`
8×	`associate-/r/`
5×	`cube-div` `flip3-+` `pow-exp` `flip-+` `rem-cube-cbrt`
4×	`div-inv` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp`
1×	`pow1/2` `pow-prod-down` `frac-add` `sqrt-prod`

Counts

4 → 181

Calls

4 calls:

208.0ms	(pow (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ 12.507343278686905 (- z (- 1.0 5.0)))) 3)
24.0ms	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
24.0ms	(pow (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))) 3)
3.0ms	(sqrt (* PI 2.0))

series212.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(pow (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ 12.507343278686905 (- z (- 1.0 5.0)))) 3)
52.0ms	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
56.0ms	(pow (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))) 3)
0.0ms	(sqrt (* PI 2.0))

simplify449.0ms

Counts

191 → 191

Iterations

Iter	Nodes
done	5001
1	1393
0	355

prune2.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize459.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ 12.507343278686905 (- z (- 1.0 5.0)))) 3)
1.0b	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
1.0b	(pow (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))) 3)
1.0b	(sqrt (* PI 2.0))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

217×	`*-un-lft-identity`
96×	`times-frac`
56×	`distribute-lft-out`
55×	`unpow-prod-down` `cube-prod`
45×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`pow-unpow`
8×	`associate-/r/`
5×	`cube-div` `flip3-+` `pow-exp` `flip-+` `rem-cube-cbrt`
4×	`div-inv` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp`
1×	`pow1/2` `pow-prod-down` `frac-add` `sqrt-prod`

Counts

4 → 181

Calls

4 calls:

207.0ms	(pow (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ 12.507343278686905 (- z (- 1.0 5.0)))) 3)
25.0ms	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
24.0ms	(pow (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))) 3)
3.0ms	(sqrt (* PI 2.0))

series212.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(pow (+ (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ 12.507343278686905 (- z (- 1.0 5.0)))) 3)
52.0ms	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
55.0ms	(pow (/ 1.5056327351493116e-07 (+ 8.0 (- z 1.0))) 3)
0.0ms	(sqrt (* PI 2.0))

simplify448.0ms

Counts

191 → 191

Iterations

Iter	Nodes
done	5000
1	1384
0	353

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize441.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (* (/ 12.507343278686905 (- z (- 1.0 5.0))) (- (/ 12.507343278686905 (- z (- 1.0 5.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0))))) (* (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0))))) 1.5056327351493116e-07)
1.0b	(pow (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) 3)
1.0b	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
1.0b	(sqrt (* PI 2.0))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
60×	`times-frac`
46×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
42×	`unpow-prod-down` `cube-prod`
33×	`associate-*l/`
24×	`distribute-lft-out`
21×	`frac-add`
16×	`frac-times` `associate-*r/`
12×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
11×	`pow1`
8×	`associate-/r/`
6×	`pow-unpow` `flip3--` `frac-sub` `flip--`
5×	`flip3-+` `flip-+`
4×	`pow-exp` `div-inv` `add-log-exp` `rem-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `cbrt-undiv` `pow-pow` `sqrt-pow1` `unpow3` `div-exp` `pow-prod-down` `sqr-pow`
1×	`pow1/2` `prod-exp` `*-commutative` `sqrt-prod` `cbrt-unprod` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

477.0ms	(* (+ (* (/ 12.507343278686905 (- z (- 1.0 5.0))) (- (/ 12.507343278686905 (- z (- 1.0 5.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0))))) (* (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0))))) 1.5056327351493116e-07)
25.0ms	(pow (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) 3)
24.0ms	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
3.0ms	(sqrt (* PI 2.0))

series250.0ms

Counts

4 → 10

Calls

4 calls:

148.0ms	(* (+ (* (/ 12.507343278686905 (- z (- 1.0 5.0))) (- (/ 12.507343278686905 (- z (- 1.0 5.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0))))) (* (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0))))) 1.5056327351493116e-07)
45.0ms	(pow (/ -0.13857109526572012 (+ 6.0 (- z 1.0))) 3)
57.0ms	(pow (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) 3)
0.0ms	(sqrt (* PI 2.0))

simplify528.0ms

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
1	1711
0	454

prune3.4s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	127
1	127
0	85

end0.0ms

sample22.8s

Algorithm

intervals

Results

8.5s	3949×	body	10240	exit
5.3s	3435×	body	1280	valid
2.9s	2419×	body	640	valid
2.2s	1471×	body	1280	nan
1.3s	1303×	body	640	nan
1.1s	1236×	body	320	valid
361.0ms	647×	body	160	valid
357.0ms	620×	body	320	nan
340.0ms	370×	body	80	valid
147.0ms	361×	body	160	nan
43.0ms	284×	body	80	nan