Error in 52.7s

Runtime

Time bar (total: 52.7s)Debug log

start548.0ms

Algorithm
intervals

setup60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

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))

series444.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

231.0ms
(/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
133.0ms
(pow (* PI (* n 2)) (- 1/2 (/ k 2)))
80.0ms
(* PI (* n 2))

simplify2.6s

Counts
67 → 83
Calls

67 calls. Slowest were:

332.0ms
(* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
322.0ms
(- (+ (* 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)))))
309.0ms
(/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow PI (- 1/2 (/ k 2)))
0.2b
(/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
0.2b
(* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
0.1b
(pow (* n 2) (- 1/2 (/ k 2)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Counts
4 → 98
Calls

4 calls. Slowest were:

15.0ms
(/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
8.0ms
(* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
1.0ms
(pow PI (- 1/2 (/ k 2)))

series527.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

243.0ms
(/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
164.0ms
(* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
97.0ms
(pow (* n 2) (- 1/2 (/ k 2)))

simplify8.1s

Counts
72 → 110
Calls

72 calls. Slowest were:

725.0ms
(exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
645.0ms
(* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
526.0ms
(- (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k)))

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow PI (- 1/2 (/ k 2)))
0.2b
(/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
0.2b
(* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
0.1b
(pow (* n 2) (- 1/2 (/ k 2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Counts
4 → 98
Calls

4 calls. Slowest were:

9.0ms
(/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
6.0ms
(* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
1.0ms
(pow (* n 2) (- 1/2 (/ k 2)))

series541.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

235.0ms
(/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
184.0ms
(* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
98.0ms
(pow (* n 2) (- 1/2 (/ k 2)))

simplify7.1s

Counts
71 → 110
Calls

71 calls. Slowest were:

746.0ms
(/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))
600.0ms
(exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
581.0ms
(* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))
0.3b
(cbrt (- 1/2 (/ k 2)))
0.3b
(cbrt (- 1/2 (/ k 2)))
0.3b
(cbrt (- 1/2 (/ k 2)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Counts
4 → 83
Calls

4 calls. Slowest were:

8.0ms
(* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))
1.0ms
(cbrt (- 1/2 (/ k 2)))
1.0ms
(cbrt (- 1/2 (/ k 2)))

series185.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

60.0ms
(* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))
42.0ms
(cbrt (- 1/2 (/ k 2)))
41.0ms
(cbrt (- 1/2 (/ k 2)))

simplify6.7s

Counts
59 → 95
Calls

59 calls. Slowest were:

391.0ms
(* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- 1/2 (/ k 2))))
386.0ms
(- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2)))))
338.0ms
(- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2)))))

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes154.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018359 +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: 0.4369563064182366 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