Details

Time bar (total: 8.5m)

sample1.0s

Algorithm
intervals
Results
333.0ms124×body10240exit
273.0ms112×body1280valid
107.0ms33×body1280nan
100.0ms71×body640valid
84.0ms48×body320valid
32.0ms26×body640nan
9.0ms11×body320nan
9.0ms16×body160valid
3.0msbody160nan
3.0ms10×body80valid
2.0msbody80nan

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5032
32323
2422
1140
055

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize136.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
0.6b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
1.0b
(/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6))))
1.0b
(sqrt (* PI 2))

rewrite1.8m

Algorithm
rewrite-expression-head
Rules
1848×frac-add
510×flip3-+ flip-+
371×frac-times
223×associate-*r/
180×*-un-lft-identity
152×associate-*l/
150×pow-sub
111×distribute-lft-out
55×associate-*r*
49×add-sqr-sqrt
35×add-cube-cbrt
33×times-frac
30×add-exp-log
22×associate-*l*
21×unpow-prod-up
20×add-cbrt-cube
18×prod-diff
17×prod-exp
10×sqrt-prod
pow1 exp-sum
cbrt-unprod
difference-of-squares
unpow-prod-down div-exp
expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u associate-/l* distribute-lft-out-- add-log-exp
pow-to-exp cbrt-undiv pow-exp
associate-+r- sqrt-pow1 exp-diff pow-prod-down associate-/r/ *-commutative div-inv unswap-sqr
distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow1/2 associate--r- sqr-pow
Counts
4 → 622
Calls
4 calls:
58.7s
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
50.6s
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
90.0ms
(/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6))))
10.0ms
(sqrt (* PI 2))

series1.3s

Counts
4 → 10
Calls
4 calls:
843.0ms
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
298.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6)))) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
141.0ms
(/ (sqrt (* PI 2)) (exp (+ 0.5 (- z -6))))
0.0ms
(sqrt (* PI 2))

simplify9.0s

Counts
632 → 632
Iterations
IterNodes
done5001
01809

prune17.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize211.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
0.6b
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
1.0b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
1.0b
(sqrt (* PI 2))

rewrite1.6m

Algorithm
rewrite-expression-head
Rules
1848×frac-add
510×flip3-+ flip-+
378×associate-*l/
371×frac-times
223×associate-*r/
171×*-un-lft-identity
150×pow-sub
111×distribute-lft-out
58×associate-*r*
41×add-exp-log
40×add-sqr-sqrt
34×prod-exp
32×add-cbrt-cube
26×add-cube-cbrt
22×associate-*l*
21×unpow-prod-up
18×prod-diff
17×times-frac
16×cbrt-unprod
14×pow1
difference-of-squares
unpow-prod-down div-exp pow-prod-down sqrt-prod
expm1-log1p-u pow-to-exp exp-sum pow-exp insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
cbrt-undiv *-commutative
sqrt-pow1 unswap-sqr
distribute-rgt-in sub-neg distribute-lft-in pow1/2 div-inv associate--r- sqr-pow
Counts
4 → 609
Calls
4 calls:
56.4s
(* (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
40.0s
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
101.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
4.0ms
(sqrt (* PI 2))

series1.3s

Counts
4 → 10
Calls
4 calls:
791.0ms
(* (* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z)))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
337.0ms
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))))
188.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
0.0ms
(sqrt (* PI 2))

simplify5.9s

Counts
619 → 619
Iterations
IterNodes
done5001
01816

prune12.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
0.9b
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))))
1.0b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
1.0b
(sqrt (* PI 2))

rewrite1.1m

Algorithm
rewrite-expression-head
Rules
1848×frac-add
510×flip3-+ flip-+
374×associate-*l/
371×frac-times
225×pow-sub
171×*-un-lft-identity
152×associate-*r/
111×distribute-lft-out
46×associate-*l*
45×add-sqr-sqrt
41×add-exp-log
34×associate-*r* prod-exp
32×add-cbrt-cube
26×add-cube-cbrt
21×unpow-prod-up
18×prod-diff
17×times-frac
16×cbrt-unprod
14×pow1
unpow-prod-down difference-of-squares
div-exp pow-prod-down sqrt-prod unswap-sqr
expm1-log1p-u pow-to-exp exp-sum pow-exp insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
cbrt-undiv *-commutative
sqrt-pow1 sqr-pow
sub-neg pow1/2 div-inv associate--r-
Counts
4 → 610
Calls
4 calls:
37.9s
(* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
27.3s
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))))
83.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
5.0ms
(sqrt (* PI 2))

series1.2s

Counts
4 → 10
Calls
4 calls:
271.0ms
(* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5))))
768.0ms
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z (- 1 0.5)))))
179.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
0.0ms
(sqrt (* PI 2))

simplify5.6s

Counts
620 → 620
Iterations
IterNodes
done5000
01830

prune11.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z 1)))
0.9b
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (* (* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z 1))) (pow (+ 0.5 (- z -6)) 0.5)))
1.0b
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
1.0b
(sqrt (* PI 2))

rewrite2.1m

Algorithm
rewrite-expression-head
Rules
1848×frac-add
672×associate-*l/
510×flip3-+ flip-+
371×frac-times
225×pow-sub
159×*-un-lft-identity
152×associate-*r/
133×prod-exp
131×add-exp-log
111×distribute-lft-out
47×add-cbrt-cube
46×associate-*l*
33×add-sqr-sqrt
27×cbrt-unprod
24×associate-*r*
23×add-cube-cbrt
22×pow-to-exp pow-exp
17×times-frac
14×pow1 div-exp
11×unpow-prod-up
prod-diff
unpow-prod-down
pow-prod-down sqrt-prod unswap-sqr
expm1-log1p-u cbrt-undiv exp-sum insert-posit16 log1p-expm1-u add-log-exp
*-commutative
sqrt-pow1 sqr-pow
sub-neg pow1/2 div-inv distribute-lft-out--
Counts
4 → 630
Calls
4 calls:
36.9s
(* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z 1)))
1.5m
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (* (* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z 1))) (pow (+ 0.5 (- z -6)) 0.5)))
79.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
4.0ms
(sqrt (* PI 2))

series1.2s

Counts
4 → 10
Calls
4 calls:
222.0ms
(* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z 1)))
785.0ms
(* (* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6)) (* (* (+ (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -176.6150291621406 (+ 3 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (/ 1.5056327351493116e-07 (+ 7 z)))) (/ 9.984369578019572e-06 (+ 6 z))) (pow (+ 0.5 (- z -6)) (- z 1))) (pow (+ 0.5 (- z -6)) 0.5)))
174.0ms
(* (/ (sqrt (* PI 2)) (exp (+ 0.5 z))) (exp -6))
0.0ms
(sqrt (* PI 2))

simplify5.7s

Counts
640 → 640
Iterations
IterNodes
done5000
01993

prune12.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done92
192
063

end0.0ms

sample23.7s

Algorithm
intervals
Results
8.7s3915×body10240exit
5.0s3391×body1280valid
3.9s2477×body640valid
2.2s1489×body1280nan
1.3s1280×body640nan
1.3s1250×body320valid
431.0ms624×body320nan
280.0ms617×body160valid
157.0ms306×body160nan
97.0ms345×body80valid
49.0ms293×body80nan