Details

sample2.8s

Algorithm

intervals

Results

2.4s	122×	body	10240	exit
89.0ms	46×	body	1280	nan
86.0ms	258×	body	80	valid
47.0ms	36×	body	640	nan
23.0ms	23×	body	320	nan
9.0ms	12×	body	160	nan
5.0ms	14×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	3571
2	602
1	148
0	60

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize195.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
1.0b	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
1.0b	(/ (sqrt (* 2.0 PI)) (exp (+ (+ 7.0 (- z)) 0.5)))
1.0b	(sqrt (* 2.0 PI))

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
45×	`add-log-exp`
30×	`sum-log` `distribute-lft-out`
24×	`frac-add`
16×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`flip3-+` `flip-+`
7×	`pow1`
6×	`add-cbrt-cube` `sqrt-prod`
5×	`exp-sum` `add-exp-log`
4×	`associate-/r` `associate-/l`
3×	`exp-diff` `associate-/r/` `associate-+l-`
2×	`+-commutative` `associate-+r+` `sqrt-pow1`
1×	`neg-sub0` `cbrt-undiv` `associate-+l+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `div-exp` `unsub-neg` `pow-prod-down` `div-inv`

Counts

4 → 109

Calls

4 calls:

759.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
2.8s	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
211.0ms	(/ (sqrt (* 2.0 PI)) (exp (+ (+ 7.0 (- z)) 0.5)))
5.0ms	(sqrt (* 2.0 PI))

series374.0ms

Counts

4 → 10

Calls

4 calls:

91.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
134.0ms	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
148.0ms	(/ (sqrt (* 2.0 PI)) (exp (+ (+ 7.0 (- z)) 0.5)))
0.0ms	(sqrt (* 2.0 PI))

simplify3.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	4168
1	912
0	320

prune2.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize228.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt (* 2.0 PI)) (sqrt (exp (+ (+ 7.0 (- z)) 0.5))))
1.0b	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
1.0b	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
1.0b	(sqrt (* 2.0 PI))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
45×	`add-log-exp`
30×	`sum-log` `distribute-lft-out`
29×	`sqrt-prod`
28×	`times-frac`
24×	`frac-add`
22×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`flip3-+` `flip-+`
7×	`pow1` `associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`exp-sum`
4×	`associate-/l*`
3×	`exp-diff` `sqrt-div` `associate-/r/` `associate-+l-`
2×	`+-commutative` `associate-+r+` `sqrt-pow1`
1×	`neg-sub0` `cbrt-undiv` `associate-+l+` `sqrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `div-exp` `unsub-neg` `pow-prod-down` `div-inv`

Counts

4 → 125

Calls

4 calls:

173.0ms	(/ (sqrt (* 2.0 PI)) (sqrt (exp (+ (+ 7.0 (- z)) 0.5))))
721.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
3.0s	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
5.0ms	(sqrt (* 2.0 PI))

series504.0ms

Counts

4 → 10

Calls

4 calls:

199.0ms	(/ (sqrt (* 2.0 PI)) (sqrt (exp (+ (+ 7.0 (- z)) 0.5))))
123.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
181.0ms	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
0.0ms	(sqrt (* 2.0 PI))

simplify3.0s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	3879
1	884
0	327

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize254.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
1.0b	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
1.0b	(sqrt (* 2.0 PI))
1.0b	(sqrt (* 2.0 PI))

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity` `add-log-exp`
30×	`sum-log` `distribute-lft-out`
24×	`frac-add`
13×	`flip3-+` `flip-+`
10×	`pow1`
4×	`add-sqr-sqrt` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`+-commutative` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`
1×	`associate-+l+`

Counts

4 → 81

Calls

4 calls:

832.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
2.8s	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
3.0ms	(sqrt (* 2.0 PI))
3.0ms	(sqrt (* 2.0 PI))

series292.0ms

Counts

4 → 8

Calls

4 calls:

103.0ms	(+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))))
189.0ms	(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))))))
0.0ms	(sqrt (* 2.0 PI))
0.0ms	(sqrt (* 2.0 PI))

simplify3.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	3503
1	711
0	222

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize555.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (/ 771.3234287776531 (+ 3.0 (- z))) 3)
1.0b	(pow (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))) 3)
1.0b	(sqrt (* 2.0 PI))
1.0b	(sqrt (* 2.0 PI))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
30×	`times-frac`
26×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod` `add-cube-cbrt`
18×	`distribute-lft-out`
12×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-unpow` `distribute-rgt-neg-in`
4×	`sqrt-pow1` `associate-/r/` `add-log-exp`
3×	`cube-div` `flip3-+` `pow-exp` `flip-+` `rem-cube-cbrt`
2×	`cube-mult` `pow-to-exp` `pow-pow` `pow1/2` `unpow3` `pow-prod-down` `sqrt-prod` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 113

Calls

4 calls:

17.0ms	(pow (/ 771.3234287776531 (+ 3.0 (- z))) 3)
420.0ms	(pow (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))) 3)
3.0ms	(sqrt (* 2.0 PI))
5.0ms	(sqrt (* 2.0 PI))

series193.0ms

Counts

4 → 8

Calls

4 calls:

92.0ms	(pow (/ 771.3234287776531 (+ 3.0 (- z))) 3)
101.0ms	(pow (+ 0.9999999999998099 (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z))))) 3)
0.0ms	(sqrt (* 2.0 PI))
0.0ms	(sqrt (* 2.0 PI))

simplify2.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5004
2	2686
1	798
0	217

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes623.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify33.0ms

Iterations

Iter	Nodes
done	82
1	82
0	60

end0.0ms

sample1.4m

Algorithm

intervals

Results

1.1m	3930×	body	10240	exit
5.1s	1519×	body	1280	nan
4.3s	8096×	body	80	valid
2.1s	1264×	body	640	nan
753.0ms	652×	body	320	nan
209.0ms	310×	body	160	nan
101.0ms	301×	body	80	nan