Error in 14.5s

Runtime

Time bar (total: 14.5s)Debug logProfile

start73.0ms

Algorithm
intervals

setup11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(expm1 (* a x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Counts
1 → 11
Calls

1 calls. Slowest were:

0.0ms
(expm1 (* a x))

series64.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

64.0ms
(expm1 (* a x))

simplify221.0ms

Counts
4 → 14
Calls

4 calls. Slowest were:

204.0ms
(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
8.0ms
(- (exp (* a x)) 1)
6.0ms
(- (exp (* a x)) 1)

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

10.6b
(cbrt (expm1 (* a x)))
10.6b
(cbrt (expm1 (* a x)))
10.6b
(cbrt (expm1 (* a x)))
0.3b
(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Counts
4 → 69
Calls

4 calls. Slowest were:

6.0ms
(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms
(cbrt (expm1 (* a x)))
1.0ms
(cbrt (expm1 (* a x)))

series424.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

131.0ms
(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
102.0ms
(cbrt (expm1 (* a x)))
97.0ms
(cbrt (expm1 (* a x)))

simplify1.3s

Counts
41 → 81
Calls

41 calls. Slowest were:

304.0ms
(+ (exp (* 1/3 (+ (* 2 (log a)) (* 2 (log x))))) (+ (* 1/3 (* a (* x (exp (* 1/3 (+ (* 2 (log a)) (* 2 (log x)))))))) (* 1/12 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (* 2 (log a)) (* 2 (log x))))))))))
298.0ms
(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))
284.0ms
(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))

prune899.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

10.6b
(cbrt (expm1 (* a x)))
10.6b
(cbrt (expm1 (* a x)))
10.6b
(cbrt (expm1 (* a x)))
0.3b
(* (expm1 (log1p (cbrt (expm1 (* a x))))) (cbrt (expm1 (* a x))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Counts
4 → 61
Calls

4 calls. Slowest were:

9.0ms
(* (expm1 (log1p (cbrt (expm1 (* a x))))) (cbrt (expm1 (* a x))))
1.0ms
(cbrt (expm1 (* a x)))
1.0ms
(cbrt (expm1 (* a x)))

series639.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

278.0ms
(* (expm1 (log1p (cbrt (expm1 (* a x))))) (cbrt (expm1 (* a x))))
144.0ms
(cbrt (expm1 (* a x)))
117.0ms
(cbrt (expm1 (* a x)))

simplify1.3s

Counts
32 → 73
Calls

32 calls. Slowest were:

379.0ms
(+ (* 1/12 (* (pow a 2) (* (pow x 2) (pow (exp (* 1/3 (+ (log a) (log x)))) 2)))) (+ (pow (exp (* 1/3 (+ (log a) (log x)))) 2) (* 1/3 (* a (* x (pow (exp (* 1/3 (+ (log a) (log x)))) 2))))))
271.0ms
(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))
266.0ms
(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))

prune825.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

10.6b
(cbrt (expm1 (* a x)))
10.6b
(cbrt (expm1 (* a x)))
10.6b
(cbrt (expm1 (* a x)))
0.3b
(* (expm1 (log1p (cbrt (expm1 (* a x))))) (expm1 (log1p (cbrt (expm1 (* a x))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Counts
4 → 61
Calls

4 calls. Slowest were:

7.0ms
(* (expm1 (log1p (cbrt (expm1 (* a x))))) (expm1 (log1p (cbrt (expm1 (* a x))))))
4.0ms
(cbrt (expm1 (* a x)))
1.0ms
(cbrt (expm1 (* a x)))

series569.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

202.0ms
(* (expm1 (log1p (cbrt (expm1 (* a x))))) (expm1 (log1p (cbrt (expm1 (* a x))))))
131.0ms
(cbrt (expm1 (* a x)))
122.0ms
(cbrt (expm1 (* a x)))

simplify1.5s

Counts
32 → 73
Calls

32 calls. Slowest were:

477.0ms
(+ (* 1/12 (* (pow a 2) (* (pow x 2) (pow (exp (* 1/3 (+ (log a) (log x)))) 2)))) (+ (pow (exp (* 1/3 (+ (log a) (log x)))) 2) (* 1/3 (* a (* x (pow (exp (* 1/3 (+ (log a) (log x)))) 2))))))
303.0ms
(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))
288.0ms
(+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (+ (exp (* 1/3 (+ (log a) (log x)))) (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))))))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

Please include this information when filing a bug report:

herbie shell --seed 2018357 +o rules:numerics
(FPCore (a x)
  :name "expax (section 3.5)"

  :herbie-target
  (if (< (fabs (* a x)) 1/10) (* (* a x) (+ 1 (+ (/ (* a x) 2) (/ (pow (* a x) 2) 6)))) (- (exp (* a x)) 1))

  (- (exp (* a x)) 1))

Backtrace

partition: contract violation expected: list? given: 0.015711674357235826 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