Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 7.8m)Debug log

sample1.6s

Algorithm
intervals

simplify462.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

461.0ms
(* (* (* (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))))

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize153.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* PI 2))
1.0b
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
0.8b
(* (/ (* (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))))))

rewrite724.0ms

Algorithm
rewrite-expression-head
Counts
4 → 435
Calls

4 calls. Slowest were:

609.0ms
(* (/ (* (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))))))
48.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
27.0ms
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

series694.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

313.0ms
(* (/ (* (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))))))
222.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
160.0ms
(* (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:

894.0ms
(* (* (- (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (* (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z)))) (+ 1 z))) (+ (* (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4)))) (- (* (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))) (* (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))))
850.0ms
(* (* (* (+ z 2) (+ z 3)) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z))))
805.0ms
(* (* (+ (* (/ 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 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z)))) (+ 1 z))) (* (- (/ -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)))))))

prune30.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* PI 2))
1.0b
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
0.8b
(* (* (/ (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))))))
0.1b
(+ (- z 1) 0.5)

rewrite650.0ms

Algorithm
rewrite-expression-head
Counts
4 → 769
Calls

4 calls. Slowest were:

535.0ms
(* (* (/ (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))))))
27.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
5.0ms
(+ (- z 1) 0.5)

series504.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

304.0ms
(* (* (/ (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))))))
179.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
20.0ms
(+ (- z 1) 0.5)
0.0ms
(sqrt (* PI 2))

simplify3.9m

Counts
1227 → 779
Calls

1227 calls. Slowest were:

972.0ms
(* (* (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)))) (* (+ (* (/ -0.13857109526572012 (+ z 5)) (/ -0.13857109526572012 (+ z 5))) (- (* (/ 12.507343278686905 (- z -4)) (/ 12.507343278686905 (- z -4))) (* (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))))) (* (+ z 6) (+ 7 z)))))
897.0ms
(* (* (exp (+ 6 0.5)) (exp z)) (* (* (* (+ z 2) (+ z 3)) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z)))))
791.0ms
(* (* (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 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 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)) (/ 1.5056327351493116e-07 (+ 7 z))))))

prune40.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* PI 2))
1.0b
(/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5))
0.8b
(* (* (/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5)) (/ (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))))))
0.0b
(/ -0.13857109526572012 (+ z 5))

rewrite397.0ms

Algorithm
rewrite-expression-head
Counts
4 → 764
Calls

4 calls. Slowest were:

355.0ms
(* (* (/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5)) (/ (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))))))
5.0ms
(/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5))
1.0ms
(sqrt (* PI 2))

series367.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

236.0ms
(* (* (/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5)) (/ (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))))))
121.0ms
(/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5))
9.0ms
(/ -0.13857109526572012 (+ z 5))
0.0ms
(sqrt (* PI 2))

Reproduce

herbie shell --seed 2019008 +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)))))