Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 7.4m)Debug log

sample2.3s

Algorithm
intervals

simplify464.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

464.0ms
(* (* (* (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))))

prune85.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize155.0ms

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)))
1.0b
(* (/ (* (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))))))

rewrite670.0ms

Algorithm
rewrite-expression-head
Counts
4 → 435
Calls

4 calls. Slowest were:

577.0ms
(* (/ (* (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))))))
36.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
23.0ms
(* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

series663.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

315.0ms
(* (/ (* (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))))))
192.0ms
(/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z)))
156.0ms
(* (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:

831.0ms
(* (* (* (+ z 2) (+ z 3)) (- (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z))))
755.0ms
(* (exp (+ (+ 6 0.5) z)) (* (* (* (+ z 2) (+ 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))))) (- (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z))))))
745.0ms
(* (exp (+ (+ 6 0.5) 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))))))))

prune29.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(* (* (/ (sqrt PI) (exp (+ z 6.5))) (/ (sqrt 2) (pow (+ z 6.5) (- 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))))))
0.9b
(/ (sqrt PI) (exp (+ z 6.5)))
0.1b
(exp (+ z 6.5))

rewrite578.0ms

Algorithm
rewrite-expression-head
Counts
4 → 741
Calls

4 calls. Slowest were:

527.0ms
(* (* (/ (sqrt PI) (exp (+ z 6.5))) (/ (sqrt 2) (pow (+ z 6.5) (- 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))))))
9.0ms
(/ (sqrt PI) (exp (+ z 6.5)))
3.0ms
(exp (+ z 6.5))

series661.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

608.0ms
(* (* (/ (sqrt PI) (exp (+ z 6.5))) (/ (sqrt 2) (pow (+ z 6.5) (- 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))))))
46.0ms
(/ (sqrt PI) (exp (+ z 6.5)))
7.0ms
(exp (+ z 6.5))
0.0ms
(sqrt PI)

simplify3.7m

Counts
1189 → 751
Calls

1189 calls. Slowest were:

784.0ms
(* (* (exp (+ z 6.5)) (pow (+ z 6.5) (- 0.5 z))) (* (* (* (+ z 2) (+ z 3)) (* (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 z) (/ 676.5203681218851 z)) (* 0.9999999999998099 (/ 676.5203681218851 z)))) (+ 1 z))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z)))))
744.0ms
(* (* (exp (+ z 6.5)) (pow (+ z 6.5) (- 0.5 z))) (* (* (* (+ z 2) (+ z 3)) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z)))))
728.0ms
(* (exp (+ z 6.5)) (* (* (* (+ z 2) (+ z 3)) (* (- 0.9999999999998099 (/ 676.5203681218851 z)) (+ 1 z))) (* (* (+ z 5) (- z -4)) (* (+ z 6) (+ 7 z)))))

prune37.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(* (* (/ (/ (sqrt PI) (exp z)) (exp 6.5)) (/ (sqrt 2) (pow (+ z 6.5) (- 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))))))
0.9b
(/ (/ (sqrt PI) (exp z)) (exp 6.5))
0.0b
(/ (sqrt 2) (pow (+ z 6.5) (- 0.5 z)))

rewrite397.0ms

Algorithm
rewrite-expression-head
Counts
4 → 824
Calls

4 calls. Slowest were:

348.0ms
(* (* (/ (/ (sqrt PI) (exp z)) (exp 6.5)) (/ (sqrt 2) (pow (+ z 6.5) (- 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))))))
6.0ms
(/ (/ (sqrt PI) (exp z)) (exp 6.5))
4.0ms
(/ (sqrt 2) (pow (+ z 6.5) (- 0.5 z)))

series410.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

237.0ms
(* (* (/ (/ (sqrt PI) (exp z)) (exp 6.5)) (/ (sqrt 2) (pow (+ z 6.5) (- 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))))))
104.0ms
(/ (/ (sqrt PI) (exp z)) (exp 6.5))
69.0ms
(/ (sqrt 2) (pow (+ z 6.5) (- 0.5 z)))
0.0ms
(sqrt PI)

Reproduce

herbie shell --seed 2019004 +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)))))