Error in 24.5s

Runtime

Time bar (total: 24.5s)Debug logProfile

start187.0ms

Algorithm
intervals

setup43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize50.0ms

Local error

Found 2 expressions with local error:

16.5b
(/ (- 1 (cos x)) (* x x))
1.6b
(- 1 (cos x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Counts
2 → 37
Calls

2 calls. Slowest were:

7.0ms
(/ (- 1 (cos x)) (* x x))
2.0ms
(- 1 (cos x))

series64.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

44.0ms
(/ (- 1 (cos x)) (* x x))
20.0ms
(- 1 (cos x))

simplify764.0ms

Counts
19 → 43
Calls

19 calls. Slowest were:

464.0ms
(/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))
78.0ms
(- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
59.0ms
(- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))

prune405.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

16.3b
(/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x))))
0.4b
(+ 1 (cos x))
0.3b
(* (sin x) (sin x))
0.1b
(* (* x x) (+ 1 (cos x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Counts
4 → 84
Calls

4 calls. Slowest were:

12.0ms
(/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x))))
4.0ms
(* (* x x) (+ 1 (cos x)))
4.0ms
(* (sin x) (sin x))

series102.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

49.0ms
(/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x))))
30.0ms
(* (* x x) (+ 1 (cos x)))
15.0ms
(* (sin x) (sin x))

simplify4.8s

Counts
51 → 96
Calls

51 calls. Slowest were:

859.0ms
(/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x)))))
408.0ms
(/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x)))))
401.0ms
(- (+ (log (sin x)) (log (sin x))) (+ (log (* x x)) (log (+ 1 (cos x)))))

prune978.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

16.2b
(/ (* (sin x) (sin x)) (* x x))
0.4b
(+ 1 (cos x))
0.3b
(* (sin x) (sin x))
0.1b
(/ (/ (* (sin x) (sin x)) (* x x)) (+ 1 (cos x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Counts
4 → 102
Calls

4 calls. Slowest were:

7.0ms
(/ (/ (* (sin x) (sin x)) (* x x)) (+ 1 (cos x)))
6.0ms
(/ (* (sin x) (sin x)) (* x x))
4.0ms
(* (sin x) (sin x))

series118.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

66.0ms
(/ (/ (* (sin x) (sin x)) (* x x)) (+ 1 (cos x)))
27.0ms
(/ (* (sin x) (sin x)) (* x x))
16.0ms
(* (sin x) (sin x))

simplify4.3s

Counts
81 → 114
Calls

81 calls. Slowest were:

502.0ms
(- (- (log (* (sin x) (sin x))) (log (* x x))) (log (+ 1 (cos x))))
399.0ms
(- (log (/ (* (sin x) (sin x)) (* x x))) (log (+ 1 (cos x))))
272.0ms
(/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* x x) (* x x)) (* x x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin x) x)
0.1b
(/ (tan (/ x 2)) x)
0.1b
(* (/ (sin x) x) (/ (tan (/ x 2)) x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Counts
3 → 55
Calls

3 calls. Slowest were:

15.0ms
(* (/ (sin x) x) (/ (tan (/ x 2)) x))
7.0ms
(/ (tan (/ x 2)) x)
5.0ms
(/ (sin x) x)

series153.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

77.0ms
(* (/ (sin x) x) (/ (tan (/ x 2)) x))
42.0ms
(/ (tan (/ x 2)) x)
34.0ms
(/ (sin x) x)

simplify1.3s

Counts
27 → 64
Calls

27 calls. Slowest were:

463.0ms
(* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)))
231.0ms
(/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
222.0ms
(/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))

prune637.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes45.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018357 +o rules:numerics
(FPCore (x)
  :name "cos2 (problem 3.4.1)"
  (/ (- 1 (cos x)) (* x x)))

Backtrace

partition: contract violation expected: list? given: 0.12484718125612991 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