Error in 34.7s

Runtime

Time bar (total: 34.7s)Debug log

start757.0ms

Algorithm
intervals

setup146.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.4b

localize41.0ms

Local error

Found 4 expressions with local error:

24.5b
(- (sqrt (fma (* a -4) c (* b b))) b)
0.1b
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
0.1b
(fma (* a -4) c (* b b))
0.0b
(sqrt (fma (* a -4) c (* b b)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Counts
4 → 67
Calls

4 calls. Slowest were:

18.0ms
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
11.0ms
(- (sqrt (fma (* a -4) c (* b b))) b)
1.0ms
(sqrt (fma (* a -4) c (* b b)))

series266.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

99.0ms
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
92.0ms
(- (sqrt (fma (* a -4) c (* b b))) b)
41.0ms
(sqrt (fma (* a -4) c (* b b)))

simplify1.6s

Counts
34 → 79
Calls

34 calls. Slowest were:

843.0ms
(- (* (sqrt (fma (* a -4) c (* b b))) (sqrt (fma (* a -4) c (* b b)))) (* b b))
124.0ms
(- (pow (sqrt (fma (* a -4) c (* b b))) 3) (pow b 3))
97.0ms
(/ (* (* (- (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)))

prune992.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Counts
4 → 70
Calls

4 calls. Slowest were:

18.0ms
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
16.0ms
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
7.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

series321.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

132.0ms
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
81.0ms
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
74.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

simplify3.8s

Counts
37 → 82
Calls

37 calls. Slowest were:

758.0ms
(- (log (* (* a -4) c)) (+ (log (* 2 a)) (log (+ (sqrt (fma (* a -4) c (* b b))) b))))
650.0ms
(/ (* (* (* (* 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))))
643.0ms
(/ (* (* (* (* 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))))

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
0.1b
(fma (* a -4) c (* b b))
0.1b
(+ (sqrt (fma (* a -4) c (* b b))) b)
0.0b
(sqrt (fma (* a -4) c (* b b)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Counts
4 → 59
Calls

4 calls. Slowest were:

4.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)
2.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
1.0ms
(sqrt (fma (* a -4) c (* b b)))

series323.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

158.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
80.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)
51.0ms
(sqrt (fma (* a -4) c (* b b)))

simplify569.0ms

Counts
26 → 71
Calls

26 calls. Slowest were:

225.0ms
(+ (* (sqrt (fma (* a -4) c (* b b))) (sqrt (fma (* a -4) c (* b b)))) (- (* b b) (* (sqrt (fma (* a -4) c (* b b))) b)))
50.0ms
(- (pow b 2) (* 4 (* a c)))
38.0ms
(- (pow b 2) (* 4 (* a c)))

prune980.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))
0.5b
(* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b)))
0.3b
(* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b)))
0.1b
(/ c (+ (sqrt (cbrt (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))) b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Counts
4 → 82
Calls

4 calls. Slowest were:

9.0ms
(* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b)))
6.0ms
(cbrt (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))
5.0ms
(/ c (+ (sqrt (cbrt (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))) b))

series335.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

136.0ms
(/ c (+ (sqrt (cbrt (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))) b))
87.0ms
(* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b)))
64.0ms
(* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b)))

simplify6.7s

Counts
54 → 94
Calls

54 calls. Slowest were:

1.5s
(* (* (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))) (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b)))) (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))
992.0ms
(* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (* b b))
427.0ms
(* (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))) (* (* (fma (* a -4) c (* b b)) (fma (* a -4) c (* b b))) (fma (* a -4) c (* b b))))

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018359 +o rules:numerics
(FPCore (a b c)
  :name "Quadratic roots, wide range"
  :pre (and (< 4.930380657631324e-32 a 2.028240960365167e+31) (< 4.930380657631324e-32 b 2.028240960365167e+31) (< 4.930380657631324e-32 c 2.028240960365167e+31))
  (/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))

Backtrace

partition: contract violation expected: list? given: 0.08861560156295074 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