Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 9.8m)Debug log

sample2.0s

Algorithm
intervals

simplify425.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

424.0ms
(* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1) 1))) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8))))

prune75.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize164.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
1.0b
(sqrt (* PI 2))
1.0b
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
1.0b
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

rewrite617.0ms

Algorithm
rewrite-expression-head
Counts
4 → 435
Calls

4 calls. Slowest were:

517.0ms
(* (/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
40.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
25.0ms
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

series757.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

370.0ms
(* (/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
233.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
153.0ms
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms
(sqrt (* PI 2))

simplify2.5m

Counts
561 → 445
Calls

561 calls. Slowest were:

1.1s
(* (exp (+ (+ 6 0.5) z)) (* (* (- (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (* (+ 0.9999999999998099 (/ 676.5203681218851 z)) (+ 0.9999999999998099 (/ 676.5203681218851 z))) (- (* (/ -1259.1392167224028 (+ 1 z)) (/ -1259.1392167224028 (+ 1 z))) (* (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z)))))
909.0ms
(* (* (+ (* (/ 771.3234287776531 (+ z 2)) (/ 771.3234287776531 (+ z 2))) (- (* (/ -176.6150291621406 (+ z 3)) (/ -176.6150291621406 (+ z 3))) (* (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))))) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (* (+ z 5) (- z -4)) (+ (* (/ 9.984369578019572e-06 (+ z 6)) (/ 9.984369578019572e-06 (+ z 6))) (- (* (/ 1.5056327351493116e-07 (+ 7 z)) (/ 1.5056327351493116e-07 (+ 7 z))) (* (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))
902.0ms
(* (* (* (+ z 2) (+ z 3)) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (+ (* (/ -0.13857109526572012 (+ z 5)) (/ -0.13857109526572012 (+ z 5))) (- (* (/ 12.507343278686905 (- z -4)) (/ 12.507343278686905 (- z -4))) (* (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))))) (+ (* (/ 9.984369578019572e-06 (+ z 6)) (/ 9.984369578019572e-06 (+ z 6))) (- (* (/ 1.5056327351493116e-07 (+ 7 z)) (/ 1.5056327351493116e-07 (+ 7 z))) (* (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))

prune31.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5))) (* (/ (sqrt (* PI 2)) (exp z)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))
1.0b
(sqrt (* PI 2))
1.0b
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
0.5b
(* (/ (sqrt (* PI 2)) (exp z)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))

rewrite1.3s

Algorithm
rewrite-expression-head
Counts
4 → 1135
Calls

4 calls. Slowest were:

644.0ms
(* (/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5))) (* (/ (sqrt (* PI 2)) (exp z)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))
569.0ms
(* (/ (sqrt (* PI 2)) (exp z)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
27.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))

series609.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

357.0ms
(* (/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5))) (* (/ (sqrt (* PI 2)) (exp z)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))
148.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
104.0ms
(* (/ (sqrt (* PI 2)) (exp z)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
0.0ms
(sqrt (* PI 2))

simplify5.7m

Counts
1597 → 1145
Calls

1597 calls. Slowest were:

1.1s
(* (exp (+ 6 0.5)) (* (* (* (+ z 2) (+ z 3)) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (* (+ z 5) (- z -4)) (+ (* (/ 9.984369578019572e-06 (+ z 6)) (/ 9.984369578019572e-06 (+ z 6))) (- (* (/ 1.5056327351493116e-07 (+ 7 z)) (/ 1.5056327351493116e-07 (+ 7 z))) (* (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))))
1.0s
(* (exp (+ 6 0.5)) (* (exp z) (* (+ (* (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3)))) (- (* (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (* (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))))) (* (- (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (* (+ z 6) (+ 7 z))))))
1.0s
(* (exp (+ 6 0.5)) (* (exp z) (* (* (+ (* (/ 771.3234287776531 (+ z 2)) (/ 771.3234287776531 (+ z 2))) (- (* (/ -176.6150291621406 (+ z 3)) (/ -176.6150291621406 (+ z 3))) (* (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))))) (- (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (* (* (+ z 5) (- z -4)) (+ (* (/ 9.984369578019572e-06 (+ z 6)) (/ 9.984369578019572e-06 (+ z 6))) (- (* (/ 1.5056327351493116e-07 (+ 7 z)) (/ 1.5056327351493116e-07 (+ 7 z))) (* (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))))

prune59.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ (* (pow (+ (+ 6 0.5) z) z) (sqrt (* PI 2))) (* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5)))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
1.0b
(sqrt (* PI 2))
1.0b
(* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5)))
1.0b
(/ (* (pow (+ (+ 6 0.5) z) z) (sqrt (* PI 2))) (* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5))))

rewrite465.0ms

Algorithm
rewrite-expression-head
Counts
4 → 456
Calls

4 calls. Slowest were:

389.0ms
(* (/ (* (pow (+ (+ 6 0.5) z) z) (sqrt (* PI 2))) (* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5)))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
30.0ms
(/ (* (pow (+ (+ 6 0.5) z) z) (sqrt (* PI 2))) (* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5))))
28.0ms
(* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5)))

series589.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

296.0ms
(* (/ (* (pow (+ (+ 6 0.5) z) z) (sqrt (* PI 2))) (* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5)))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
213.0ms
(/ (* (pow (+ (+ 6 0.5) z) z) (sqrt (* PI 2))) (* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5))))
81.0ms
(* (exp (+ (+ 6 0.5) z)) (pow (+ (+ 6 0.5) z) (- 1 0.5)))
0.0ms
(sqrt (* PI 2))

Reproduce

herbie shell --seed 2019005 +o rules:numerics
(FPCore (z)
  :name "Jmat.Real.gamma, branch z greater than 0.5"
  (* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1) 1))) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))))