Details

sample2.7s

Algorithm

intervals

Results

2.3s	138×	body	10240	exit
99.0ms	48×	body	1280	nan
87.0ms	259×	body	80	valid
66.0ms	48×	body	640	nan
17.0ms	18×	body	320	nan
6.0ms	10×	body	160	nan
1.0ms	5×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	60	123
1	275	123
done	5000	110

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize112.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (+ (+ (/ 12.507343278686905 (+ 5.0 (+ (- z) 0))) (/ -176.6150291621406 (+ (+ (- z) 0) 4.0))) (+ (/ -1259.1392167224028 (+ 2.0 (+ (- z) 0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0)))))) (+ (/ 9.984369578019572e-06 (+ (+ (- z) 0) 7.0)) (/ 1.5056327351493116e-07 (+ (+ (- z) 0) 8.0))))
1.0b	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0))))
1.0b	(+ (/ -1259.1392167224028 (+ 2.0 (+ (- z) 0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0)))))
1.0b	(sqrt (* PI 2.0))

rewrite50.3s

Algorithm

rewrite-expression-head

Rules

214×	`frac-add`
111×	`*-un-lft-identity` `add-log-exp`
84×	`sum-log` `distribute-lft-out`
74×	`flip3-+` `flip-+`
7×	`pow1`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
3×	`+-commutative`
2×	`associate-+l+` `associate-+r+` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 157

Calls

4 calls:

47.2s	(+ (+ (+ (/ 12.507343278686905 (+ 5.0 (+ (- z) 0))) (/ -176.6150291621406 (+ (+ (- z) 0) 4.0))) (+ (/ -1259.1392167224028 (+ 2.0 (+ (- z) 0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0)))))) (+ (/ 9.984369578019572e-06 (+ (+ (- z) 0) 7.0)) (/ 1.5056327351493116e-07 (+ (+ (- z) 0) 8.0))))
829.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0))))
2.3s	(+ (/ -1259.1392167224028 (+ 2.0 (+ (- z) 0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0)))))
4.0ms	(sqrt (* PI 2.0))

series439.0ms

Counts

4 → 10

Calls

4 calls:

245.0ms	(+ (+ (+ (/ 12.507343278686905 (+ 5.0 (+ (- z) 0))) (/ -176.6150291621406 (+ (+ (- z) 0) 4.0))) (+ (/ -1259.1392167224028 (+ 2.0 (+ (- z) 0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0)))))) (+ (/ 9.984369578019572e-06 (+ (+ (- z) 0) 7.0)) (/ 1.5056327351493116e-07 (+ (+ (- z) 0) 8.0))))
70.0ms	(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0))))
124.0ms	(+ (/ -1259.1392167224028 (+ 2.0 (+ (- z) 0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- (- 1.0 z) 0))) (/ 771.3234287776531 (+ 3.0 (+ (- z) 0)))))
0.0ms	(sqrt (* PI 2.0))

simplify2.2s

Counts

167 → 167

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	603	28868
1	4681	19268
done	5000	19174

prune3.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize201.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.6b	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

416×	`frac-add`
392×	`associate-*r/`
384×	`frac-times`
274×	`frac-sub`
258×	`flip3-+` `flip-+`
237×	`flip3--` `flip--`
96×	`associate-*l/`
21×	`add-log-exp`
19×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `diff-log` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sum-log` `add-cbrt-cube`
3×	`times-frac` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-out`

Counts

4 → 380

Calls

4 calls:

349.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
325.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
353.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.1s	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
99.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
93.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
249.0ms	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

simplify1.2s

Counts

392 → 392

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	1455	69880
done	5000	63132

prune17.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize236.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.6b	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

416×	`frac-add`
392×	`associate-*r/`
384×	`frac-times`
274×	`frac-sub`
258×	`flip3-+` `flip-+`
237×	`flip3--` `flip--`
96×	`associate-*l/`
21×	`add-log-exp`
19×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `diff-log` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sum-log` `add-cbrt-cube`
3×	`times-frac` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-out`

Counts

4 → 380

Calls

4 calls:

326.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
343.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
331.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
947.0ms	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
101.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
73.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
249.0ms	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

simplify1.2s

Counts

392 → 392

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	1455	69880
done	5000	63132

prune20.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize273.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0b	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.6b	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

416×	`frac-add`
392×	`associate-*r/`
384×	`frac-times`
274×	`frac-sub`
258×	`flip3-+` `flip-+`
237×	`flip3--` `flip--`
96×	`associate-*l/`
21×	`add-log-exp`
19×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `diff-log` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sum-log` `add-cbrt-cube`
3×	`times-frac` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-out`

Counts

4 → 380

Calls

4 calls:

326.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
329.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
330.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
1.0s	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

series926.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
87.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
110.0ms	(- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))
647.0ms	(+ (* (* (- 2.0 z) (+ (/ 771.3234287776531 (- 3.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))) (* -1259.1392167224028 (- (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ 771.3234287776531 (- 3.0 z)))))

simplify1.2s

Counts

392 → 392

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	1455	69880
done	5000	63132

prune21.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

regimes983.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify26.0ms

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	90	304
1	133	296
done	133	296

end0.0ms

sample1.3m

Algorithm

intervals

Results

1.1m	3904×	body	10240	exit
5.0s	1480×	body	1280	nan
3.8s	8076×	body	80	valid
2.1s	1241×	body	640	nan
1.1s	571×	body	320	nan
399.0ms	304×	body	160	nan
88.0ms	290×	body	80	nan
1.0ms	2×	body	160	valid