Details

Time bar (total: 5.0m)

sample1.6s

Algorithm
intervals
Results
475.0ms136×body10240exit
299.0ms100×body1280valid
242.0ms83×body640valid
195.0ms70×body1280nan
127.0ms44×body320valid
102.0ms39×body640nan
36.0ms24×body320nan
16.0ms18×body160valid
7.0msbody160nan
5.0ms11×body80valid
4.0msbody80nan

simplify962.0ms

Counts
1 → 1
Iterations
IterNodes
32107
2411
1140
055

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
1.0b
(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
1.0b
(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b
(sqrt (* PI 2))

rewrite19.4s

Algorithm
rewrite-expression-head
Rules
276×frac-add
131×*-un-lft-identity
95×distribute-lft-out
80×flip3-+ flip-+
44×frac-times associate-*r/
27×associate-*r* add-exp-log
20×add-cbrt-cube associate-*l*
19×add-sqr-sqrt
14×prod-exp
12×add-cube-cbrt
pow1
times-frac div-exp
unpow-prod-down
cbrt-unprod
cbrt-undiv associate-/r* associate-+l- insert-posit16 add-log-exp unswap-sqr
pow-to-exp exp-sum associate-*l/ pow-exp
associate-+r- sqrt-pow1 exp-diff pow-prod-down associate-/r/ *-commutative sqrt-prod div-inv pow-sub sqr-pow
distribute-rgt-in unpow-prod-up clear-num frac-2neg distribute-lft-in pow1/2 associate-/l* distribute-lft-out-- associate-/l/
Counts
4 → 214
Calls
4 calls:
18.1s
(* (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
413.0ms
(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
837.0ms
(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms
(sqrt (* PI 2))

series1.8s

Counts
4 → 10
Calls
4 calls:
816.0ms
(* (/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
563.0ms
(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
378.0ms
(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms
(sqrt (* PI 2))

simplify4.7s

Counts
224 → 224
Iterations
IterNodes
13523
0756

prune9.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize134.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
0.7b
(* (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ 7 (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z))))))
1.0b
(/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ 7 (- z 1))))
1.0b
(sqrt (* PI 2))

rewrite31.3s

Algorithm
rewrite-expression-head
Rules
828×frac-add
246×*-un-lft-identity
240×flip3-+ flip-+
221×frac-times associate-*r/
135×distribute-lft-out
101×times-frac
65×associate-*l*
60×add-sqr-sqrt
55×add-cube-cbrt
54×unpow-prod-down
39×add-exp-log
32×add-cbrt-cube
24×associate-*r*
23×exp-sum
22×prod-exp
17×div-exp
14×pow1
12×cbrt-unprod
11×associate-/l*
unpow-prod-up distribute-lft-out-- sqr-pow
cbrt-undiv
distribute-rgt-in distribute-lft-in pow-prod-down
pow-to-exp associate-/r* associate-*l/ pow-exp sqrt-prod insert-posit16 add-log-exp
div-inv
associate-+r- sqrt-pow1 exp-diff associate-/r/ *-commutative unswap-sqr
clear-num frac-2neg pow1/2 associate-+l- pow-sub associate-/l/
Counts
4 → 496
Calls
4 calls:
17.4s
(* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
13.5s
(* (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ 7 (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z))))))
373.0ms
(/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ 7 (- z 1))))
5.0ms
(sqrt (* PI 2))

series1.8s

Counts
4 → 10
Calls
4 calls:
415.0ms
(* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
1.1s
(* (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ 7 (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z))))))
269.0ms
(/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (+ 7 (- z 1))))
0.0ms
(sqrt (* PI 2))

simplify8.8s

Counts
506 → 506
Iterations
IterNodes
14941
01162

prune22.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
0.7b
(* (* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z))))))
1.0b
(* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1))))
1.0b
(sqrt (* PI 2))

rewrite31.0s

Algorithm
rewrite-expression-head
Rules
828×frac-add
312×associate-*r/
240×flip3-+ flip-+
221×frac-times
191×*-un-lft-identity
115×distribute-lft-out
84×associate-*r*
71×times-frac
51×add-sqr-sqrt
50×add-cbrt-cube
48×add-exp-log
43×prod-exp
36×add-cube-cbrt
31×unpow-prod-down
25×cbrt-unprod
23×pow1
22×exp-sum
20×associate-*l*
18×div-exp
11×sub-neg pow-prod-down
cbrt-undiv
unswap-sqr sqr-pow
distribute-rgt-in unpow-prod-up distribute-lft-in distribute-lft-out--
pow-to-exp associate-*l/ pow-exp sqrt-prod insert-posit16 add-log-exp
*-commutative
sqrt-pow1 div-inv
pow1/2 exp-diff associate-/r/
Counts
4 → 464
Calls
4 calls:
16.6s
(* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
13.9s
(* (* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z))))))
495.0ms
(* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1))))
3.0ms
(sqrt (* PI 2))

series2.6s

Counts
4 → 10
Calls
4 calls:
447.0ms
(* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))
1.7s
(* (* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z))))))
496.0ms
(* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1))))
0.0ms
(sqrt (* PI 2))

simplify9.4s

Counts
474 → 474
Iterations
IterNodes
15209
01174

prune23.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5)))
0.4b
(* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1))))
0.7b
(* (exp -7) (* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1)))))
1.0b
(sqrt (* PI 2))

rewrite38.0s

Algorithm
rewrite-expression-head
Rules
3400×frac-add
1010×flip3-+ flip-+
812×frac-times associate-*l/
370×associate-*r/
221×*-un-lft-identity
140×distribute-lft-out
77×associate-*r*
68×times-frac
67×add-exp-log
59×add-cbrt-cube
55×prod-exp
41×add-sqr-sqrt
36×add-cube-cbrt
32×associate-*l*
30×unpow-prod-down
29×cbrt-unprod
27×div-exp
23×pow1
22×exp-sum
11×cbrt-undiv sub-neg pow-prod-down
pow-to-exp pow-exp
unpow-prod-up distribute-lft-out-- sqr-pow
sqrt-prod insert-posit16 add-log-exp
*-commutative
sqrt-pow1 div-inv unswap-sqr
pow1/2 exp-diff associate-/r/
Counts
4 → 1105
Calls
4 calls:
6.2s
(* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5)))
6.6s
(* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1))))
25.2s
(* (exp -7) (* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1)))))
3.0ms
(sqrt (* PI 2))

series2.1s

Counts
4 → 10
Calls
4 calls:
300.0ms
(* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5)))
779.0ms
(* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1))))
1.0s
(* (exp -7) (* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1)))))
0.0ms
(sqrt (* PI 2))

simplify13.3s

Counts
1115 → 1115
Iterations
IterNodes
17968
02208

prune45.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
280
180
057

end0.0ms

sample29.6s

Algorithm
intervals
Results
9.6s3726×body10240exit
7.2s3446×body1280valid
4.0s2425×body640valid
3.0s1491×body1280nan
2.0s1257×body640nan
1.9s1241×body320valid
889.0ms629×body320nan
378.0ms629×body160valid
175.0ms300×body160nan
151.0ms344×body80valid
79.0ms305×body80nan