Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 8.0m)Debug log

sample2.2s

Algorithm
intervals

simplify419.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

418.0ms
(* (* (* (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))))

prune56.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize165.0ms

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))))))

rewrite606.0ms

Algorithm
rewrite-expression-head
Counts
4 → 435
Calls

4 calls. Slowest were:

549.0ms
(* (/ (* (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))))))
20.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
13.0ms
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

series647.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

283.0ms
(* (/ (* (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))))))
230.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
134.0ms
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms
(sqrt (* PI 2))

simplify2.7m

Counts
561 → 445
Calls

561 calls. Slowest were:

1.1s
(* (exp (+ (+ 6 0.5) z)) (* (* (* (+ z 2) (+ 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))))) (* (+ z 6) (+ 7 z)))))
1.0s
(* (exp (+ (+ 6 0.5) z)) (* (* (- (/ 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))) (* (* (+ 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))))))))
963.0ms
(* (exp (+ (+ 6 0.5) 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)) (+ 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)))))

prune30.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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))))))
0.0b
(pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5))

rewrite652.0ms

Algorithm
rewrite-expression-head
Counts
4 → 771
Calls

4 calls. Slowest were:

525.0ms
(* (* (/ (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))))))
32.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
12.0ms
(pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5))

series547.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

337.0ms
(* (* (/ (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))))))
163.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))
47.0ms
(pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5))
0.0ms
(sqrt (* PI 2))

simplify4.1m

Counts
1235 → 781
Calls

1235 calls. Slowest were:

1.3s
(* (* (exp (+ 6 0.5)) (exp z)) (* (* (* (+ 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))))))))
807.0ms
(* (* (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)))))
786.0ms
(* (exp z) (+ (* (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 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))) (+ (/ 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))))) (* (+ (+ (/ 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))))))))

prune40.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))))))
0.5b
(* (/ (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))))))

rewrite790.0ms

Algorithm
rewrite-expression-head
Counts
4 → 1135
Calls

4 calls. Slowest were:

386.0ms
(* (/ (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)))))))
334.0ms
(* (/ (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))))))
14.0ms
(/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5)))

series468.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

235.0ms
(* (/ (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)))))))
129.0ms
(/ (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))

Reproduce

herbie shell --seed 2019002 +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)))))