Error in 34.3s

Runtime

Time bar (total: 34.3s)Debug log

start211.0ms

Algorithm
intervals

setup293.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize43.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (* x cos) sin)
5.4b
(* (* x cos) sin)
0.4b
(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
0.3b
(* (* (* x cos) sin) (* (* x cos) sin))

rewrite53.0ms

Algorithm
rewrite-expression-head
Counts
4 → 64
Calls

4 calls. Slowest were:

22.0ms
(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
20.0ms
(* (* (* x cos) sin) (* (* x cos) sin))
5.0ms
(* (* x cos) sin)

series204.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

89.0ms
(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
59.0ms
(* (* (* x cos) sin) (* (* x cos) sin))
28.0ms
(* (* x cos) sin)

simplify4.1s

Counts
33 → 76
Calls

33 calls. Slowest were:

730.0ms
(* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)))
421.0ms
(/ (* (cos x) (cos x)) (* (* (* x cos) sin) (* (* x cos) sin)))
368.0ms
(- (log (cos (* 2 x))) (log (* (* (* x cos) sin) (* (* x cos) sin))))

prune906.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.6b

localize12.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (* x cos) sin)
5.4b
(* (* x cos) sin)
1.2b
(/ (cos (* 2 x)) (* (* x cos) sin))
0.2b
(/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))

rewrite42.0ms

Algorithm
rewrite-expression-head
Counts
4 → 77
Calls

4 calls. Slowest were:

20.0ms
(/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))
12.0ms
(/ (cos (* 2 x)) (* (* x cos) sin))
4.0ms
(* (* x cos) sin)

series166.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

62.0ms
(/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))
45.0ms
(/ (cos (* 2 x)) (* (* x cos) sin))
30.0ms
(* (* x cos) sin)

simplify4.8s

Counts
49 → 89
Calls

49 calls. Slowest were:

708.0ms
(- (- (log (cos (* 2 x))) (log (* (* x cos) sin))) (log (* (* x cos) sin)))
546.0ms
(- (log (/ (cos (* 2 x)) (* (* x cos) sin))) (log (* (* x cos) sin)))
503.0ms
(/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

localize28.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (* x cos) sin)
5.4b
(* (* x cos) sin)
1.3b
(/ (cbrt (cos (* 2 x))) (* (* x cos) sin))
1.2b
(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin))

rewrite44.0ms

Algorithm
rewrite-expression-head
Counts
4 → 68
Calls

4 calls. Slowest were:

20.0ms
(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin))
10.0ms
(/ (cbrt (cos (* 2 x))) (* (* x cos) sin))
5.0ms
(* (* x cos) sin)

series242.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

112.0ms
(/ (cbrt (cos (* 2 x))) (* (* x cos) sin))
75.0ms
(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin))
28.0ms
(* (* x cos) sin)

simplify2.0s

Counts
38 → 80
Calls

38 calls. Slowest were:

429.0ms
(- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (log (* (* x cos) sin)))
352.0ms
(- (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (log (* (* x cos) sin)))
252.0ms
(/ (* (* (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)))

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 4 expressions with local error:

20.9b
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))
20.9b
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))
20.9b
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))
5.4b
(* (* x cos) sin)

rewrite15.0ms

Algorithm
rewrite-expression-head
Counts
4 → 77
Calls

4 calls. Slowest were:

4.0ms
(* (* x cos) sin)
3.0ms
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))
3.0ms
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))

series546.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

175.0ms
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))
175.0ms
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))
168.0ms
(cbrt (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)))

simplify5.9s

Counts
48 → 89
Calls

48 calls. Slowest were:

381.0ms
(exp (* 1/3 (+ (log (cos (* 2 x))) (+ (* 2 (log (/ -1 sin))) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 cos))))))))
360.0ms
(cbrt (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (* x cos)))
351.0ms
(exp (* 1/3 (+ (log (cos (* 2 x))) (+ (* 2 (log (/ -1 sin))) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 cos))))))))

prune1.3s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 1.5b

regimes351.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018359 +o rules:numerics
(FPCore (x cos sin)
  :name "cos(2*x)/(cos^2(x)*sin^2(x))"
  (/ (cos (* 2 x)) (* (pow cos 2) (* (* x (pow sin 2)) x))))

Backtrace

partition: contract violation expected: list? given: 2.8495398238087626 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