Error in 58.0s

Runtime

Time bar (total: 58.0s)Debug logProfile

start1.7s

Algorithm
intervals

setup100.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.7b

localize58.0ms

Local error

Found 4 expressions with local error:

2.7b
(cos (- lambda1 lambda2))
0.6b
(acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))
0.2b
(* (sin phi2) (sin phi1))
0.2b
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Counts
4 → 55
Calls

4 calls. Slowest were:

7.0ms
(* (sin phi2) (sin phi1))
6.0ms
(cos (- lambda1 lambda2))
2.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))

series158.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

69.0ms
(* (sin phi2) (sin phi1))
33.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))
32.0ms
(cos (- lambda1 lambda2))

simplify421.0ms

Counts
27 → 67
Calls

27 calls. Slowest were:

97.0ms
(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
51.0ms
(* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1)))
40.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi1) (sin phi2)))))

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))
0.2b
(* (sin lambda1) (sin lambda2))
0.2b
(* (sin phi2) (sin phi1))
0.2b
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Counts
4 → 60
Calls

4 calls. Slowest were:

11.0ms
(* (sin lambda1) (sin lambda2))
7.0ms
(* (sin phi2) (sin phi1))
1.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))

series421.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

302.0ms
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))
53.0ms
(* (sin phi2) (sin phi1))
46.0ms
(* (sin lambda1) (sin lambda2))

simplify1.5s

Counts
30 → 72
Calls

30 calls. Slowest were:

315.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin phi1) (sin phi2))))
262.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin phi1) (sin phi2))))
242.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (sin phi1) (sin phi2))))

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))
0.4b
(log (exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))))
0.3b
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))
0.2b
(* (sin lambda1) (sin lambda2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Counts
4 → 62
Calls

4 calls. Slowest were:

7.0ms
(* (sin lambda1) (sin lambda2))
5.0ms
(log (exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))))
3.0ms
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))

series137.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

57.0ms
(* (sin lambda1) (sin lambda2))
45.0ms
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))
19.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))

simplify5.0s

Counts
34 → 74
Calls

34 calls. Slowest were:

346.0ms
(exp (sqrt (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))))
305.0ms
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin phi1) (sin phi2)))))
300.0ms
(exp (* (cbrt (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))))

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.0b

localize55.0ms

Local error

Found 4 expressions with local error:

2.8b
(log (exp (* (sin lambda1) (sin lambda2))))
0.6b
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))
0.4b
(log (exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))))
0.3b
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Counts
4 → 58
Calls

4 calls. Slowest were:

5.0ms
(log (exp (* (sin lambda1) (sin lambda2))))
4.0ms
(log (exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))))
3.0ms
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))

series179.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

77.0ms
(log (exp (* (sin lambda1) (sin lambda2))))
60.0ms
(exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))
21.0ms
(log (exp (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))))

simplify4.6s

Counts
31 → 70
Calls

31 calls. Slowest were:

334.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin phi1) (sin phi2))))
328.0ms
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))
295.0ms
(exp (* (cbrt (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))))

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.0b

regimes1.6s

Please include this information when filing a bug report:

herbie shell --seed 2018357 +o rules:numerics
(FPCore (R lambda1 lambda2 phi1 phi2)
  :name "Spherical law of cosines"
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))

Backtrace

partition: contract violation expected: list? given: 3.8635156809369815 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