Error in 51.2s

Runtime

Time bar (total: 51.2s)Debug logProfile

start1.2s

Algorithm
intervals

setup666.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.0b

localize47.0ms

Local error

Found 4 expressions with local error:

21.3b
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
13.8b
(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
0.4b
(* (sqrt 2) t)
0.0b
(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Counts
4 → 87
Calls

4 calls. Slowest were:

25.0ms
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
19.0ms
(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))
18.0ms
(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

series1.1s

Counts
4 → 12
Calls

4 calls. Slowest were:

798.0ms
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
156.0ms
(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
76.0ms
(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))

simplify9.2s

Counts
57 → 99
Calls

57 calls. Slowest were:

644.0ms
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
636.0ms
(sqrt (* (cbrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (cbrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))))
618.0ms
(* (- x 1) (- (* l l) (* 2 (* t t))))

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.1b

localize26.0ms

Local error

Found 4 expressions with local error:

30.0b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
4.0b
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))
0.4b
(* (sqrt 2) t)
0.1b
(* (/ t x) (* t 4))

rewrite16.0ms

Algorithm
rewrite-expression-head
Counts
4 → 56
Calls

4 calls. Slowest were:

7.0ms
(* (/ t x) (* t 4))
4.0ms
(* (sqrt 2) t)
2.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))

series403.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

271.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
70.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))
39.0ms
(* (sqrt 2) t)

simplify1.3s

Counts
24 → 68
Calls

24 calls. Slowest were:

606.0ms
(* (* (* (/ t x) (/ t x)) (/ t x)) (* (* (* t 4) (* t 4)) (* t 4)))
145.0ms
(sqrt (sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))))
109.0ms
(sqrt (* (cbrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))) (cbrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize12.0ms

Local error

Found 4 expressions with local error:

30.0b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
4.0b
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))
0.3b
(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) t))
0.2b
(* (sqrt (sqrt 2)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Counts
4 → 60
Calls

4 calls. Slowest were:

16.0ms
(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) t))
4.0ms
(* (sqrt (sqrt 2)) t)
1.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))

series319.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

218.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
39.0ms
(* (sqrt (sqrt 2)) t)
38.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))

simplify1.1s

Counts
29 → 72
Calls

29 calls. Slowest were:

367.0ms
(* (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (* (sqrt (sqrt 2)) t) (* (sqrt (sqrt 2)) t)) (* (sqrt (sqrt 2)) t)))
151.0ms
(sqrt (sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))))
150.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.0b

localize19.0ms

Local error

Found 4 expressions with local error:

30.0b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
30.0b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
4.0b
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))
4.0b
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Counts
4 → 48
Calls

4 calls. Slowest were:

1.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
1.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
0.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))

series543.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

245.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
206.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))
52.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))

simplify1.1s

Counts
20 → 60
Calls

20 calls. Slowest were:

139.0ms
(+ (* 2 (pow t 2)) (+ (* 2 (/ (pow l 2) x)) (* 4 (/ (pow t 2) x))))
116.0ms
(sqrt (sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4)))))
115.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (/ t x) (* t 4))))

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.0b

regimes886.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018357 +o rules:numerics
(FPCore (x l t)
  :name "Toniolo and Linder, Equation (7)"
  (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))))

Backtrace

partition: contract violation expected: list? given: 8.845016154163917 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