Error in 37.8s

Runtime

Time bar (total: 37.8s)Debug logProfile

start375.0ms

Algorithm
intervals

setup136.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize42.0ms

Local error

Found 4 expressions with local error:

39.6b
(- (sqrt (fma (* a -4) c (* b b))) b)
0.2b
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
0.2b
(fma (* a -4) c (* b b))
0.1b
(sqrt (fma (* a -4) c (* b b)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Counts
4 → 67
Calls

4 calls. Slowest were:

10.0ms
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
5.0ms
(- (sqrt (fma (* a -4) c (* b b))) b)
1.0ms
(sqrt (fma (* a -4) c (* b b)))

series499.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

324.0ms
(- (sqrt (fma (* a -4) c (* b b))) b)
96.0ms
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
51.0ms
(sqrt (fma (* a -4) c (* b b)))

simplify1.5s

Counts
34 → 79
Calls

34 calls. Slowest were:

676.0ms
(- (* (sqrt (fma (* a -4) c (* b b))) (sqrt (fma (* a -4) c (* b b)))) (* b b))
118.0ms
(/ (* (* (- (sqrt (fma (* a -4) c (* b b))) b) (- (sqrt (fma (* a -4) c (* b b))) b)) (- (sqrt (fma (* a -4) c (* b b))) b)) (* (* (* 2 a) (* 2 a)) (* 2 a)))
94.0ms
(- (pow (sqrt (fma (* a -4) c (* b b))) 3) (pow b 3))

prune950.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
0.2b
(fma (* a -4) c (* b b))
0.1b
(+ (sqrt (fma (* a -4) c (* b b))) b)
0.1b
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))

rewrite39.0ms

Algorithm
rewrite-expression-head
Counts
4 → 70
Calls

4 calls. Slowest were:

17.0ms
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
14.0ms
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
6.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

series377.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

135.0ms
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
116.0ms
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
74.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

simplify3.7s

Counts
37 → 82
Calls

37 calls. Slowest were:

738.0ms
(/ (* (* (* (* a -4) c) (* (* a -4) c)) (* (* a -4) c)) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* (+ (sqrt (fma (* a -4) c (* b b))) b) (+ (sqrt (fma (* a -4) c (* b b))) b)) (+ (sqrt (fma (* a -4) c (* b b))) b))))
686.0ms
(/ (* (* (* (* a -4) c) (* (* a -4) c)) (* (* a -4) c)) (* (* (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))))
631.0ms
(- (log (* (* a -4) c)) (+ (log (* 2 a)) (log (+ (sqrt (fma (* a -4) c (* b b))) b))))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
0.2b
(fma (* a -4) c (* b b))
0.1b
(+ (sqrt (fma (* a -4) c (* b b))) b)
0.1b
(sqrt (fma (* a -4) c (* b b)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Counts
4 → 59
Calls

4 calls. Slowest were:

8.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)
5.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
2.0ms
(sqrt (fma (* a -4) c (* b b)))

series287.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

128.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
58.0ms
(sqrt (fma (* a -4) c (* b b)))
52.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

simplify560.0ms

Counts
26 → 71
Calls

26 calls. Slowest were:

255.0ms
(+ (* (sqrt (fma (* a -4) c (* b b))) (sqrt (fma (* a -4) c (* b b)))) (- (* b b) (* (sqrt (fma (* a -4) c (* b b))) b)))
27.0ms
(sqrt (* (cbrt (fma (* a -4) c (* b b))) (cbrt (fma (* a -4) c (* b b)))))
27.0ms
(- (pow b 2) (* 4 (* a c)))

prune959.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (* (* a -4) c) (* 2 a)) (+ (sqrt (fma (* a -4) c (* b b))) b))
0.2b
(fma (* a -4) c (* b b))
0.1b
(+ (sqrt (fma (* a -4) c (* b b))) b)
0.1b
(/ (* (* a -4) c) (* 2 a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Counts
4 → 87
Calls

4 calls. Slowest were:

10.0ms
(/ (/ (* (* a -4) c) (* 2 a)) (+ (sqrt (fma (* a -4) c (* b b))) b))
5.0ms
(/ (* (* a -4) c) (* 2 a))
4.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

series244.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

126.0ms
(/ (/ (* (* a -4) c) (* 2 a)) (+ (sqrt (fma (* a -4) c (* b b))) b))
77.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)
29.0ms
(fma (* a -4) c (* b b))

simplify12.1s

Counts
66 → 99
Calls

66 calls. Slowest were:

755.0ms
(/ (/ (* (* (* (* a -4) c) (* (* a -4) c)) (* (* a -4) c)) (* (* (* 2 a) (* 2 a)) (* 2 a))) (* (* (+ (sqrt (fma (* a -4) c (* b b))) b) (+ (sqrt (fma (* a -4) c (* b b))) b)) (+ (sqrt (fma (* a -4) c (* b b))) b)))
576.0ms
(/ (* (* (/ (* (* a -4) c) (* 2 a)) (/ (* (* a -4) c) (* 2 a))) (/ (* (* a -4) c) (* 2 a))) (* (* (+ (sqrt (fma (* a -4) c (* b b))) b) (+ (sqrt (fma (* a -4) c (* b b))) b)) (+ (sqrt (fma (* a -4) c (* b b))) b)))
559.0ms
(* (cbrt (/ (* (* a -4) c) (* 2 a))) (cbrt (/ (* (* a -4) c) (* 2 a))))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes223.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018357 +o rules:numerics
(FPCore (a b c)
  :name "Quadratic roots, medium range"
  :pre (and (< 1.1102230246251565e-16 a 9007199254740992.0) (< 1.1102230246251565e-16 b 9007199254740992.0) (< 1.1102230246251565e-16 c 9007199254740992.0))
  (/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))

Backtrace

partition: contract violation expected: list? given: 0.2398308281331126 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