Error in 52.6s

Runtime

Time bar (total: 52.6s)Debug log

start1.1s

Algorithm
intervals

setup663.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.0b

localize47.0ms

Local error

Found 4 expressions with local error:

19.7b
(sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l))))
11.6b
(fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))
0.4b
(* t (sqrt 2))
0.0b
(/ (* t (sqrt 2)) (sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Counts
4 → 64
Calls

4 calls. Slowest were:

9.0ms
(/ (* t (sqrt 2)) (sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))))
4.0ms
(sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l))))
2.0ms
(* t (sqrt 2))

series732.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

372.0ms
(/ (* t (sqrt 2)) (sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))))
223.0ms
(sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l))))
97.0ms
(fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))

simplify12.9s

Counts
39 → 76
Calls

39 calls. Slowest were:

715.0ms
(sqrt (cbrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))))
659.0ms
(/ (* (* (* t (sqrt 2)) (* t (sqrt 2))) (* t (sqrt 2))) (* (* (sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))) (sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l))))) (sqrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l))))))
657.0ms
(/ t (sqrt (* (cbrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))) (cbrt (fma (fma (* 2 t) t (* l l)) (/ (+ 1 x) (+ -1 x)) (* l (- l)))))))

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.4b

localize52.0ms

Local error

Found 4 expressions with local error:

26.5b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
2.4b
(fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))
0.4b
(* t (sqrt 2))
0.2b
(* (* t 4) (/ t x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Counts
4 → 56
Calls

4 calls. Slowest were:

13.0ms
(* (* t 4) (/ t x))
2.0ms
(* t (sqrt 2))
2.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))

series406.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

281.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
67.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))
38.0ms
(* t (sqrt 2))

simplify1.7s

Counts
26 → 68
Calls

26 calls. Slowest were:

499.0ms
(* (* (* (* t 4) (* t 4)) (* t 4)) (* (* (/ t x) (/ t x)) (/ t x)))
468.0ms
(+ (* 2 (/ (pow l 2) x)) (* 4 (/ (pow t 2) x)))
128.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.3b

localize27.0ms

Local error

Found 4 expressions with local error:

26.5b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
2.4b
(fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))
0.3b
(* (* t (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
0.2b
(* (* t 4) (/ t x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Counts
4 → 63
Calls

4 calls. Slowest were:

23.0ms
(* (* t (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
3.0ms
(* (* t 4) (/ t x))
2.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))

series309.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

218.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
46.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))
27.0ms
(* (* t (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

simplify1.7s

Counts
32 → 75
Calls

32 calls. Slowest were:

566.0ms
(* (* (* (* t 4) (* t 4)) (* t 4)) (* (* (/ t x) (/ t x)) (/ t x)))
175.0ms
(* (* (* (* t (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* t (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* t (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2))
159.0ms
(sqrt (* (cbrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))) (cbrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))))

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.3b

localize22.0ms

Local error

Found 4 expressions with local error:

26.5b
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
2.4b
(fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))
0.3b
(* (* t (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.2b
(* t (sqrt (sqrt 2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Counts
4 → 60
Calls

4 calls. Slowest were:

13.0ms
(* (* t (sqrt (sqrt 2))) (sqrt (sqrt 2)))
4.0ms
(* t (sqrt (sqrt 2)))
2.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))

series412.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

286.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
53.0ms
(* t (sqrt (sqrt 2)))
49.0ms
(fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))

simplify1.1s

Counts
31 → 72
Calls

31 calls. Slowest were:

433.0ms
(* (* (* (* t (sqrt (sqrt 2))) (* t (sqrt (sqrt 2)))) (* t (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
154.0ms
(sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x))))
118.0ms
(sqrt (sqrt (fma 2 (fma (/ l x) l (* t t)) (* (* t 4) (/ t x)))))

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.3b

regimes866.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018359 +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: 9.304000837677481 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