Error in 52.7s

Runtime

Time bar (total: 52.7s)Debug logProfile

start519.0ms

Algorithm
intervals

setup86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 3 expressions with local error:

0.7b
(pow (* PI (* n 2)) (- 1/2 (/ k 2)))
0.3b
(* PI (* n 2))
0.2b
(/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))

rewrite8.0ms

Algorithm
rewrite-expression-head
Counts
3 → 74
Calls

3 calls. Slowest were:

5.0ms
(/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
2.0ms
(pow (* PI (* n 2)) (- 1/2 (/ k 2)))
1.0ms
(* PI (* n 2))

series483.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

251.0ms
(/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
156.0ms
(pow (* PI (* n 2)) (- 1/2 (/ k 2)))
76.0ms
(* PI (* n 2))

simplify2.5s

Counts
67 → 83
Calls

67 calls. Slowest were:

397.0ms
(* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
348.0ms
(- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
259.0ms
(- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (* n 2) (- 1/2 (/ k 2)))
0.5b
(pow PI (- 1/2 (/ k 2)))
0.2b
(/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
0.2b
(* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Counts
4 → 129
Calls

4 calls. Slowest were:

6.0ms
(* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))
4.0ms
(/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1.0ms
(pow (* n 2) (- 1/2 (/ k 2)))

series561.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

291.0ms
(* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))
143.0ms
(/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
95.0ms
(pow (* n 2) (- 1/2 (/ k 2)))

simplify6.2s

Counts
116 → 141
Calls

116 calls. Slowest were:

606.0ms
(+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))))
585.0ms
(exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
510.0ms
(* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (* n 2) (- 1/2 (/ k 2)))
0.2b
(/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
0.2b
(* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))
0.0b
(* (log PI) (- 1/2 (/ k 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Counts
4 → 135
Calls

4 calls. Slowest were:

12.0ms
(* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))
4.0ms
(/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
4.0ms
(* (log PI) (- 1/2 (/ k 2)))

series884.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

393.0ms
(* (log PI) (- 1/2 (/ k 2)))
257.0ms
(* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))
143.0ms
(/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))

simplify5.9s

Counts
120 → 147
Calls

120 calls. Slowest were:

600.0ms
(exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
570.0ms
(+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))))
448.0ms
(- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (* n 2) (- 1/2 (/ k 2)))
0.2b
(/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
0.2b
(* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
0.0b
(* (log PI) (- 1/2 (/ k 2)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Counts
4 → 100
Calls

4 calls. Slowest were:

23.0ms
(/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
22.0ms
(* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
8.0ms
(* (log PI) (- 1/2 (/ k 2)))

series871.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

355.0ms
(* (log PI) (- 1/2 (/ k 2)))
275.0ms
(/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
151.0ms
(* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))

simplify8.4s

Counts
73 → 112
Calls

73 calls. Slowest were:

1.1s
(- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k)))
676.0ms
(exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
657.0ms
(* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes163.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018357 +o rules:numerics
(FPCore (k n)
  :name "Migdal et al, Equation (51)"
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))

Backtrace

partition: contract violation expected: list? given: 0.39278603522626604 argument position: 2nd other arguments...: #<procedure:ordinary-value?>LC
partition/home/p92/racket/collects/racket/list.rkt5550
errors-score/data/pavpan/nightlies/herbie/develop/src/points.rkt3220
for-loop/data/pavpan/nightlies/herbie/develop/src/sandbox.rkt7512
(unnamed)/home/p92/racket/collects/racket/private/more-scheme.rkt26128
run/home/p92/racket/share/pkgs/profile-lib/main.rkt392
profile-thunk16/home/p92/racket/share/pkgs/profile-lib/main.rkt90
(unnamed)/home/p92/racket/collects/racket/private/more-scheme.rkt26128