Error in 30.4s

Runtime

Time bar (total: 30.4s)Debug logProfile

start957.0ms

Algorithm
intervals

setup85.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize30.0ms

Local error

Found 4 expressions with local error:

27.2b
(- (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)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Counts
4 → 67
Calls

4 calls. Slowest were:

11.0ms
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
7.0ms
(- (sqrt (fma (* a -4) c (* b b))) b)
1.0ms
(sqrt (fma (* a -4) c (* b b)))

series223.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

78.0ms
(/ (- (sqrt (fma (* a -4) c (* b b))) b) (* 2 a))
63.0ms
(- (sqrt (fma (* a -4) c (* b b))) b)
52.0ms
(sqrt (fma (* a -4) c (* b b)))

simplify1.5s

Counts
34 → 79
Calls

34 calls. Slowest were:

703.0ms
(- (* (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)))
115.0ms
(- (pow (sqrt (fma (* a -4) c (* b b))) 3) (pow b 3))

prune943.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
0.1b
(fma (* a -4) c (* b b))
0.1b
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
0.0b
(+ (sqrt (fma (* a -4) c (* b b))) b)

rewrite47.0ms

Algorithm
rewrite-expression-head
Counts
4 → 70
Calls

4 calls. Slowest were:

19.0ms
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
19.0ms
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
8.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

series332.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

134.0ms
(/ (* (* a -4) c) (* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b)))
84.0ms
(* (* 2 a) (+ (sqrt (fma (* a -4) c (* b b))) b))
76.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)

simplify3.5s

Counts
37 → 82
Calls

37 calls. Slowest were:

729.0ms
(/ (* (* (* (* 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))))
666.0ms
(- (log (* (* a -4) c)) (+ (log (* 2 a)) (log (+ (sqrt (fma (* a -4) c (* b b))) b))))
601.0ms
(/ (* (* (* (* 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))))

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Counts
4 → 59
Calls

4 calls. Slowest were:

8.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)
7.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
2.0ms
(sqrt (fma (* a -4) c (* b b)))

series328.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

159.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
65.0ms
(+ (sqrt (fma (* a -4) c (* b b))) b)
54.0ms
(sqrt (fma (* a -4) c (* b b)))

simplify563.0ms

Counts
26 → 71
Calls

26 calls. Slowest were:

301.0ms
(+ (* (sqrt (fma (* a -4) c (* b b))) (sqrt (fma (* a -4) c (* b b)))) (- (* b b) (* (sqrt (fma (* a -4) c (* b b))) b)))
25.0ms
(- (pow b 2) (* 4 (* a c)))
24.0ms
(- (pow b 2) (* 4 (* a c)))

prune948.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(expm1 (log1p (/ c (+ (sqrt (fma (* a -4) c (* b b))) b))))
0.1b
(fma (* a -4) c (* b b))
0.1b
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
0.1b
(log1p (/ c (+ (sqrt (fma (* a -4) c (* b b))) b)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Counts
4 → 49
Calls

4 calls. Slowest were:

4.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))
0.0ms
(fma (* a -4) c (* b b))
0.0ms
(log1p (/ c (+ (sqrt (fma (* a -4) c (* b b))) b)))

series1.5s

Counts
4 → 12
Calls

4 calls. Slowest were:

941.0ms
(expm1 (log1p (/ c (+ (sqrt (fma (* a -4) c (* b b))) b))))
375.0ms
(log1p (/ c (+ (sqrt (fma (* a -4) c (* b b))) b)))
124.0ms
(/ c (+ (sqrt (fma (* a -4) c (* b b))) b))

simplify570.0ms

Counts
18 → 61
Calls

18 calls. Slowest were:

304.0ms
(+ (* (sqrt (fma (* a -4) c (* b b))) (sqrt (fma (* a -4) c (* b b)))) (- (* b b) (* (sqrt (fma (* a -4) c (* b b))) b)))
51.0ms
(- (pow b 2) (* 4 (* a c)))
50.0ms
(- (pow b 2) (* 4 (* a c)))

prune913.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes207.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018357 +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: 0.09305432343849158 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