Herbie run

Date:Friday, April 25th, 2025
Commit:3f20b552 on time-nightly
Seed:2025115
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
default
Memory:123 106.7 MB

Time bar (total: 2.2min)

sample1.5min (68.7%)

Memory
1 178.9MiB live, 85 096.4MiB allocated; 30.6s collecting garbage
Samples
24.8s44 641×2valid
17.5s96 809×1valid
14.8s143 710×0invalid
10.9s6 005×5exit
6.1s86 215×0valid
2.5s3 498×3valid
305.0ms4 304×0exit
200.0ms1 120×1exit
127.0ms141×4exit
6.0ms4valid
3.0ms3exit
Precisions
Click to see histograms. Total time spent on operations: 1.0min
ival-tan: 12.2s (19.6% of total)
ival-pow: 10.8s (17.5% of total)
adjust: 7.0s (11.3% of total)
ival-mult!: 4.0s (6.5% of total)
ival-cos: 3.9s (6.4% of total)
ival-div!: 3.8s (6% of total)
ival-log: 3.4s (5.5% of total)
ival-sin: 3.3s (5.3% of total)
ival-add!: 2.1s (3.3% of total)
ival-exp: 1.8s (3% of total)
ival-expm1: 1.7s (2.8% of total)
ival-sub!: 1.7s (2.8% of total)
ival-fabs: 1.5s (2.4% of total)
ival-sqrt: 1.3s (2.1% of total)
ival-log1p: 1.2s (1.9% of total)
ival-<: 480.0ms (0.8% of total)
ival-atan: 393.0ms (0.6% of total)
ival-<=: 349.0ms (0.6% of total)
ival-neg: 329.0ms (0.5% of total)
ival-and: 323.0ms (0.5% of total)
ival-cbrt: 283.0ms (0.5% of total)
ival-assert: 60.0ms (0.1% of total)
ival-fmin: 59.0ms (0.1% of total)
ival->: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

rewrite18.4s (13.7%)

Memory
963.0MiB live, 15 117.5MiB allocated; 3.6s collecting garbage
Stop Event
267×iter-limit
105×node-limit
Counts
13 256 → 31 067

derivations5.0s (3.7%)

Memory
-10.4MiB live, 3 039.9MiB allocated; 701ms collecting garbage
Stop Event
21×fuel
done
Compiler

Compiled 2 608 to 1 656 computations (36.5% saved)

eval4.0s (3%)

Memory
-219.8MiB live, 5 212.1MiB allocated; 1.1s collecting garbage
Compiler

Compiled 418 553 to 142 488 computations (66% saved)

preprocess3.9s (2.9%)

Memory
-823.2MiB live, 3 401.8MiB allocated; 1.7s collecting garbage
Stop Event
26×node-limit
saturated
Compiler

Compiled 5 040 to 3 673 computations (27.1% saved)

series3.7s (2.7%)

Memory
-180.4MiB live, 3 512.5MiB allocated; 1.6s collecting garbage
Counts
2 423 → 10 833
Calls

495 calls:

TimeVariablePointExpression
504.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (pow x 4/3) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (pow x -5/3) -1/9) (* (* (pow (cbrt x) -1) (pow (cbrt x) -1)) 1/3)) (pow x -5/3) x -5/3 -1/9 (* (* (pow (cbrt x) -1) (pow (cbrt x) -1)) 1/3) (* (pow (cbrt x) -1) (pow (cbrt x) -1)) (pow (cbrt x) -1) (cbrt x) -1 1/3 (- (cbrt (+ x 1)) (cbrt x)) (* (pow (* x x) -1/3) 1/3) (pow (* x x) -1/3) (* x x) -1/3 (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (pow x 4/3) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (pow x 4/3) 1/3) (* -1/9 (cbrt x))) (* (pow x 4/3) 1/3) (pow x 4/3) 4/3 (- (cbrt (+ x 1)) (cbrt x)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (/ 1 (pow (cbrt x) 2)) 1 (pow (cbrt x) 2) 2 (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (pow x 4/3) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (pow x -5/3) -1/9) (* (/ 1 (pow x 2/3)) 1/3)) (* (/ 1 (pow x 2/3)) 1/3) (/ 1 (pow x 2/3)) (pow x 2/3) 2/3)
118.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))
85.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (/ 1 n) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
80.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (/ 1 n) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
55.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (/ 1 n) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

regimes2.4s (1.8%)

Memory
130.8MiB live, 2 872.8MiB allocated; 448ms collecting garbage
Counts
2 788 → 308
Calls

43 calls:

728.0ms
x
273.0ms
eps
129.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
102.0ms
b_2
93.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1 614 to 1 768 computations (-9.5% saved)

prune2.2s (1.6%)

Memory
-9.8MiB live, 2 393.7MiB allocated; 1.2s collecting garbage
Counts
29 885 → 1 438
Compiler

Compiled 51 225 to 42 534 computations (17% saved)

analyze1.4s (1.1%)

Memory
-16.4MiB live, 1 437.5MiB allocated; 303ms collecting garbage
Algorithm
28×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%61.1%38.9%0%0%0%0
7.4%4.5%56.6%38.9%0%0%0%1
22.3%13.6%47.5%38.9%0%0%0%2
40.2%23.5%34.9%38.9%0%2.7%0%3
53.4%31.1%27.2%38.9%0%2.8%0%4
63%36.3%21.3%38.9%0%3.6%0%5
65.9%37.5%19.4%38.9%0%4.2%0%6
70.4%38.8%16.3%38.9%0%6%0%7
73.6%40.2%14.4%38.9%0%6.5%0%8
76.3%40.9%12.7%38.9%0%7.5%0%9
78.4%41.4%11.4%38.9%0%8.3%0%10
81.1%42.4%9.9%38.9%0%8.8%0%11
82.3%42.7%9.2%38.9%0%9.3%0%12
Compiler

Compiled 483 to 337 computations (30.2% saved)

bsearch1.0s (0.8%)

Memory
-29.8MiB live, 1 020.3MiB allocated; 167ms collecting garbage
Algorithm
97×binary-search
20×left-value
Stop Event
95×narrow-enough
predicate-same
Samples
331.0ms5 226×0valid
86.0ms1 077×0invalid
69.0ms322×2valid
66.0ms588×1valid
2.0ms3valid
1.0ms18×0exit
Compiler

Compiled 26 097 to 26 912 computations (-3.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 354.0ms
ival-mult!: 96.0ms (27.1% of total)
ival-sqrt: 46.0ms (13% of total)
ival-div!: 41.0ms (11.6% of total)
ival-pow: 39.0ms (11% of total)
ival-sub!: 38.0ms (10.7% of total)
ival-neg: 28.0ms (7.9% of total)
adjust: 27.0ms (7.6% of total)
ival-cos: 19.0ms (5.4% of total)
ival-add!: 10.0ms (2.8% of total)
ival-expm1: 5.0ms (1.4% of total)
ival-cbrt: 3.0ms (0.8% of total)
ival-exp: 2.0ms (0.6% of total)

start1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated; 0ms collecting garbage

Profiling

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