Details

sample705.0ms

Algorithm

intervals

Results

293.0ms	140×	body	5120	exit
129.0ms	101×	body	1280	valid
82.0ms	83×	body	640	valid
69.0ms	50×	body	1280	nan
53.0ms	48×	body	640	nan
30.0ms	40×	body	320	valid
10.0ms	13×	body	320	nan
10.0ms	21×	body	160	valid
5.0ms	11×	body	160	nan
4.0ms	15×	body	80	valid
1.0ms	4×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	5372	89

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.2b

Counts

2 → 1

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (* PI 2.0)) (* (pow (+ z (- 7.0 (- 1.0 0.5))) (+ z (- 0.5 1.0))) (/ (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))) (exp (+ z (- 7.0 (- 1.0 0.5)))))))
0.9b	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
1.0b	(/ (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))) (exp (+ z (- 7.0 (- 1.0 0.5)))))
1.0b	(sqrt (* PI 2.0))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

769×	`*-un-lft-identity`
516×	`distribute-lft-out`
161×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`distribute-lft-out--`
23×	`add-exp-log`
21×	`exp-sum`
20×	`associate-/l*`
15×	`add-cbrt-cube`
13×	`prod-exp`
9×	`pow1` `add-log-exp`
5×	`cbrt-unprod`
4×	`associate-r/` `div-exp` `associate-l` `frac-add` `associate-/r`
3×	`associate-+r-` `flip3-+` `sum-log` `flip-+`
2×	`cbrt-undiv` `pow-to-exp` `sqrt-pow1` `pow-prod-down` `pow-exp` `sqrt-prod` `associate-/l/` `pow-sub`
1×	`+-commutative` `frac-times` `associate-+r+` `frac-2neg` `pow1/2` `exp-diff` `associate-r` `associate-l/` `clear-num` `associate-/r/` `-commutative` `div-inv`

Counts

4 → 202

Calls

4 calls:

726.0ms	(* (sqrt (* PI 2.0)) (* (pow (+ z (- 7.0 (- 1.0 0.5))) (+ z (- 0.5 1.0))) (/ (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))) (exp (+ z (- 7.0 (- 1.0 0.5)))))))
56.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
899.0ms	(/ (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))) (exp (+ z (- 7.0 (- 1.0 0.5)))))
3.0ms	(sqrt (* PI 2.0))

series77.0ms

Counts

4 → 10

Calls

4 calls:

51.0ms	(* (sqrt (* PI 2.0)) (* (pow (+ z (- 7.0 (- 1.0 0.5))) (+ z (- 0.5 1.0))) (/ (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))) (exp (+ z (- 7.0 (- 1.0 0.5)))))))
7.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
20.0ms	(/ (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))) (exp (+ z (- 7.0 (- 1.0 0.5)))))
0.0ms	(sqrt (* PI 2.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5374	14058

prune823.0ms

Filtered

81 candidates to 212 candidates (-161.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	200	12	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	12	213

Merged error: 0.0b

Counts

213 → 12

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (* PI 2.0)) (* (pow (+ z (- 7.0 (- 1.0 0.5))) (+ z (- 0.5 1.0))) (/ (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))))) (exp z)) (exp (- 7.0 (- 1.0 0.5))))))
0.9b	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
1.0b	(/ (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))))) (exp z)) (exp (- 7.0 (- 1.0 0.5))))
1.0b	(sqrt (* PI 2.0))

rewrite4.8s

Algorithm

rewrite-expression-head

Rules

1791×	`*-un-lft-identity`
1245×	`distribute-lft-out`
651×	`times-frac`
178×	`add-sqr-sqrt` `add-cube-cbrt`
141×	`exp-sum`
47×	`sub-neg` `associate--r-`
46×	`associate-/l*`
32×	`add-exp-log`
27×	`distribute-lft-out--`
23×	`add-cbrt-cube`
19×	`prod-exp`
12×	`div-exp`
9×	`pow1` `add-log-exp`
8×	`div-inv`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-/r*`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-to-exp` `pow-exp` `sum-log`
2×	`associate-+r-` `sqrt-pow1` `flip3-+` `pow-prod-down` `sqrt-prod` `flip-+` `pow-sub`
1×	`+-commutative` `frac-times` `associate-+r+` `frac-2neg` `pow1/2` `exp-diff` `associate-r` `associate-l/` `clear-num` `associate-/r/` `-commutative` `associate-/l/`

Counts

4 → 431

Calls

4 calls:

2.3s	(* (sqrt (* PI 2.0)) (* (pow (+ z (- 7.0 (- 1.0 0.5))) (+ z (- 0.5 1.0))) (/ (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))))) (exp z)) (exp (- 7.0 (- 1.0 0.5))))))
60.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
2.4s	(/ (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))))) (exp z)) (exp (- 7.0 (- 1.0 0.5))))
2.0ms	(sqrt (* PI 2.0))

series88.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(* (sqrt (* PI 2.0)) (* (pow (+ z (- 7.0 (- 1.0 0.5))) (+ z (- 0.5 1.0))) (/ (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))))) (exp z)) (exp (- 7.0 (- 1.0 0.5))))))
7.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
22.0ms	(/ (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (/ -176.6150291621406 (+ z (- 4.0 1.0)))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))))))) (exp z)) (exp (- 7.0 (- 1.0 0.5))))
0.0ms	(sqrt (* PI 2.0))

simplify235.0ms

Algorithm

egg-herbie

Counts

441 → 441

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4994	36036
1	4994	36036

prune2.2s

Filtered

136 candidates to 441 candidates (-224.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	437	4	441
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	443	10	453

Merged error: 0.0b

Counts

453 → 10

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (* PI 2.0)) (* (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (exp z)) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0)))))
0.9b	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
1.0b	(/ (* (sqrt (* PI 2.0)) (* (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (exp z)) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0))))) (exp (- 7.0 (- 1.0 0.5))))
1.0b	(sqrt (* PI 2.0))

rewrite5.4s

Algorithm

rewrite-expression-head

Rules

255×	`*-un-lft-identity`
111×	`distribute-lft-out`
87×	`times-frac`
41×	`add-exp-log`
27×	`add-cbrt-cube` `distribute-lft-out--`
26×	`prod-exp`
14×	`div-exp`
10×	`cbrt-unprod`
9×	`pow1` `add-log-exp`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-undiv` `exp-sum` `associate-/r*`
4×	`pow-to-exp` `associate-+r-` `associate-l` `frac-add` `pow-exp` `pow-sub`
3×	`sum-log` `associate-/l/`
2×	`frac-times` `sub-neg` `sqrt-pow1` `flip3-+` `pow-prod-down` `associate-*l/` `sqrt-prod` `flip-+` `associate--r-`
1×	`+-commutative` `associate-+r+` `frac-2neg` `pow1/2` `exp-diff` `associate-r` `clear-num` `associate-/r/` `-commutative` `div-inv` `associate-/l`

Counts

4 → 122

Calls

4 calls:

2.8s	(* (sqrt (* PI 2.0)) (* (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (exp z)) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0)))))
55.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
2.5s	(/ (* (sqrt (* PI 2.0)) (* (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (exp z)) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0))))) (exp (- 7.0 (- 1.0 0.5))))
3.0ms	(sqrt (* PI 2.0))

series115.0ms

Counts

4 → 10

Calls

4 calls:

50.0ms	(* (sqrt (* PI 2.0)) (* (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (exp z)) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0)))))
7.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
57.0ms	(/ (* (sqrt (* PI 2.0)) (* (/ (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (exp z)) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0))))) (exp (- 7.0 (- 1.0 0.5))))
0.0ms	(sqrt (* PI 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5019	7540

prune621.0ms

Filtered

75 candidates to 132 candidates (-76.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	133	9	142

Merged error: 0.0b

Counts

142 → 9

localize62.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
1.0b	(* (/ (sqrt (* PI 2.0)) (exp (- 7.0 1.0))) (/ (* (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0)))) (exp (+ z 0.5))))
1.0b	(/ (sqrt (* PI 2.0)) (exp (- 7.0 1.0)))
1.0b	(sqrt (* PI 2.0))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

275×	`*-un-lft-identity`
126×	`times-frac`
111×	`distribute-lft-out`
32×	`add-sqr-sqrt`
29×	`add-exp-log`
27×	`add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
25×	`associate-l`
19×	`exp-sum`
16×	`prod-exp`
14×	`div-exp`
12×	`sqrt-prod`
9×	`pow1` `sub-neg` `add-log-exp`
8×	`cbrt-undiv` `associate-r` `cbrt-unprod`
5×	`associate-/r*`
4×	`frac-add` `associate-/l*`
3×	`sum-log` `div-inv`
2×	`pow-to-exp` `sqrt-pow1` `flip3-+` `exp-diff` `pow-prod-down` `pow-exp` `associate-/r/` `flip-+` `unswap-sqr`
1×	`+-commutative` `frac-times` `associate-+r+` `frac-2neg` `pow1/2` `associate-r/` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 161

Calls

4 calls:

59.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
2.5s	(* (/ (sqrt (* PI 2.0)) (exp (- 7.0 1.0))) (/ (* (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0)))) (exp (+ z 0.5))))
10.0ms	(/ (sqrt (* PI 2.0)) (exp (- 7.0 1.0)))
3.0ms	(sqrt (* PI 2.0))

series69.0ms

Counts

4 → 8

Calls

4 calls:

11.0ms	(+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0)))))
58.0ms	(* (/ (sqrt (* PI 2.0)) (exp (- 7.0 1.0))) (/ (* (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 771.3234287776531 (+ z (- 3.0 1.0))) (+ (/ -176.6150291621406 (+ z (- 4.0 1.0))) (+ (/ 12.507343278686905 (+ z (- 5.0 1.0))) (+ (/ -0.13857109526572012 (+ z (- 6.0 1.0))) (+ (/ 9.984369578019572e-06 (+ z (- 7.0 1.0))) (/ 1.5056327351493116e-07 (+ z (- 8.0 1.0))))))))))) (pow (+ z (+ 7.0 (- 0.5 1.0))) (+ z (- 0.5 1.0)))) (exp (+ z 0.5))))
0.0ms	(/ (sqrt (* PI 2.0)) (exp (- 7.0 1.0)))
0.0ms	(sqrt (* PI 2.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	8263

prune999.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	171	7	178

Merged error: 0.0b

Counts

178 → 7

regimes84.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	90
1	84	90

end0.0ms

sample21.0s

Algorithm

intervals

Results

8.2s	3830×	body	5120	exit
4.4s	3395×	body	1280	valid
2.4s	2431×	body	640	valid
2.2s	1544×	body	1280	nan
1.4s	1285×	body	640	nan
898.0ms	1252×	body	320	valid
496.0ms	616×	body	320	nan
304.0ms	659×	body	160	valid
148.0ms	293×	body	160	nan
84.0ms	364×	body	80	valid
65.0ms	302×	body	80	nan

Details

sample705.0ms

simplify16.0ms

prune13.0ms

localize61.0ms

rewrite1.7s

series77.0ms

simplify102.0ms

prune823.0ms

localize60.0ms

rewrite4.8s

series88.0ms

simplify235.0ms

prune2.2s

localize61.0ms

rewrite5.4s

series115.0ms

simplify65.0ms

prune621.0ms

localize62.0ms

rewrite2.6s

series69.0ms

simplify70.0ms

prune999.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample21.0s

Profiling