Error in 18.2s

Runtime

Time bar (total: 18.2s)Debug log

start239.0ms

Algorithm
intervals

setup12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.3b

localize13.0ms

Local error

Found 2 expressions with local error:

2.0b
(cos (+ eps x))
1.4b
(- (cos (+ eps x)) (cos x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Counts
2 → 40
Calls

2 calls. Slowest were:

5.0ms
(- (cos (+ eps x)) (cos x))
2.0ms
(cos (+ eps x))

series74.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

61.0ms
(- (cos (+ eps x)) (cos x))
14.0ms
(cos (+ eps x))

simplify743.0ms

Counts
33 → 46
Calls

33 calls. Slowest were:

182.0ms
(- 1 (+ (* x eps) (* 1/2 (pow eps 2))))
144.0ms
(- (* 1/24 (pow eps 4)) (+ (* x eps) (* 1/2 (pow eps 2))))
39.0ms
(fma (sqrt (cos (+ eps x))) (sqrt (cos (+ eps x))) (- (* (sqrt (cos x)) (sqrt (cos x)))))

prune485.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize46.0ms

Local error

Found 3 expressions with local error:

2.3b
(sin (/ (+ (+ x x) eps) 2))
0.3b
(* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))
0.0b
(* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Counts
3 → 41
Calls

3 calls. Slowest were:

19.0ms
(* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))
15.0ms
(* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
9.0ms
(sin (/ (+ (+ x x) eps) 2))

series214.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

100.0ms
(* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
93.0ms
(* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))
21.0ms
(sin (/ (+ (+ x x) eps) 2))

simplify1.0s

Counts
19 → 50
Calls

19 calls. Slowest were:

328.0ms
(- (+ (* 1/4 (pow eps 2)) (* 1/2 (* x eps))) (* 1/12 (* (pow x 3) eps)))
268.0ms
(- (* 1/6 (* (pow x 3) eps)) (+ (* 1/2 (pow eps 2)) (* x eps)))
112.0ms
(* (* (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ (+ (+ x x) eps) 2))) (sin (/ (+ (+ x x) eps) 2))) (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))))

prune652.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b
(sin (/ (+ (+ x x) eps) 2))
0.4b
(log1p (sin (/ (+ (+ x x) eps) 2)))
0.3b
(* (expm1 (log1p (sin (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2)))
0.2b
(expm1 (log1p (sin (/ (+ (+ x x) eps) 2))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Counts
4 → 50
Calls

4 calls. Slowest were:

5.0ms
(* (expm1 (log1p (sin (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2)))
4.0ms
(sin (/ (+ (+ x x) eps) 2))
0.0ms
(log1p (sin (/ (+ (+ x x) eps) 2)))

series293.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

153.0ms
(* (expm1 (log1p (sin (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2)))
63.0ms
(expm1 (log1p (sin (/ (+ (+ x x) eps) 2))))
50.0ms
(log1p (sin (/ (+ (+ x x) eps) 2)))

simplify912.0ms

Counts
22 → 62
Calls

22 calls. Slowest were:

337.0ms
(- (+ (* 1/4 (pow eps 2)) (* 1/2 (* x eps))) (* 1/12 (* (pow x 3) eps)))
118.0ms
(- (+ x (* 1/2 eps)) (* 1/6 (pow x 3)))
93.0ms
(- (+ x (* 1/2 eps)) (* 1/6 (pow x 3)))

prune954.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

2.3b
(sin (/ (+ (+ x x) eps) 2))
2.3b
(sin (/ (+ (+ x x) eps) 2))
2.3b
(sin (/ (+ (+ x x) eps) 2))
0.6b
(cbrt (log1p (sin (/ (+ (+ x x) eps) 2))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Counts
4 → 40
Calls

4 calls. Slowest were:

9.0ms
(sin (/ (+ (+ x x) eps) 2))
9.0ms
(sin (/ (+ (+ x x) eps) 2))
9.0ms
(sin (/ (+ (+ x x) eps) 2))

series176.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

101.0ms
(cbrt (log1p (sin (/ (+ (+ x x) eps) 2))))
32.0ms
(sin (/ (+ (+ x x) eps) 2))
22.0ms
(sin (/ (+ (+ x x) eps) 2))

simplify750.0ms

Counts
15 → 52
Calls

15 calls. Slowest were:

261.0ms
(- (+ (* 1/3 (* x (exp (* 1/3 (- (log 4) (* 2 (log eps))))))) (exp (* 1/3 (+ (log 1/2) (log eps))))) (* 1/12 (* (exp (* 1/3 (+ (log 1/2) (log eps)))) eps)))
122.0ms
(- (+ x (* 1/2 eps)) (* 1/6 (pow x 3)))
102.0ms
(- (+ x (* 1/2 eps)) (* 1/6 (pow x 3)))

prune869.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

regimes341.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018359 +o rules:numerics
(FPCore (x eps)
  :name "2cos (problem 3.3.5)"
  (- (cos (+ x eps)) (cos x)))

Backtrace

partition: contract violation expected: list? given: 0.7536586204879051 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