Herbie run

Date:Sunday, April 20th, 2025
Commit:db13855b on artem-rules-updates
Seed:2025110
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:217 401.7 MB

Time bar (total: 2.8min)

sample1.1min (40.9%)

Memory
400.7MiB live, 82 911.5MiB allocated; 26.9s collecting garbage
Samples
27.2s224 555×0valid
9.2s65 205×0invalid
5.3s23 434×1valid
3.8s14 325×1invalid
2.8s9 749×2valid
2.2s6 440×3valid
141.0ms587×2invalid
22.0ms240×0exit
5.0ms14×4valid
1.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 36.6s
ival-mult!: 8.3s (22.6% of total)
ival-div!: 5.4s (14.9% of total)
ival-pow2: 2.8s (7.6% of total)
ival-pow: 2.7s (7.4% of total)
adjust: 2.4s (6.6% of total)
ival-sin: 2.3s (6.3% of total)
ival-sqrt: 2.3s (6.2% of total)
ival-exp: 1.9s (5.2% of total)
ival-add!: 1.8s (4.9% of total)
ival-sub!: 1.5s (4.1% of total)
ival-log: 1.1s (3% of total)
ival-tan: 927.0ms (2.5% of total)
ival-cos: 923.0ms (2.5% of total)
ival-acos: 706.0ms (1.9% of total)
ival-neg: 519.0ms (1.4% of total)
ival-hypot: 435.0ms (1.2% of total)
ival-tanu: 255.0ms (0.7% of total)
ival-asin: 208.0ms (0.6% of total)
ival-atan: 79.0ms (0.2% of total)
ival-fabs: 58.0ms (0.2% of total)
ival-<: 1.0ms (0% of total)
ival-and: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

rewrite26.9s (16.2%)

Memory
270.3MiB live, 32 324.4MiB allocated; 8.0s collecting garbage
Stop Event
296×iter-limit
123×node-limit
unsound
Counts
28 260 → 48 664

regimes14.9s (9%)

Memory
333.2MiB live, 22 706.9MiB allocated; 3.3s collecting garbage
Counts
10 334 → 748
Calls

156 calls:

844.0ms
l
503.0ms
k
473.0ms
t
417.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
382.0ms
F
Compiler

Compiled 10 693 to 12 591 computations (-17.7% saved)

series13.1s (7.9%)

Memory
619.6MiB live, 20 612.7MiB allocated; 3.2s collecting garbage
Counts
4 518 → 23 742
Calls

1200 calls:

TimeVariablePointExpression
262.0ms
f
@0
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (neg (log (/ f (/ 4 (PI))))) (PI)) -4) (/ (neg (log (/ f (/ 4 (PI))))) (PI)) (neg (log (/ f (/ 4 (PI))))) (log (/ f (/ 4 (PI)))) (/ f (/ 4 (PI))) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) (/ (log 2) (PI)) (log 2) 2 (/ (log (* (* f (PI)) 1/2)) (PI)) (log (* (* f (PI)) 1/2)) (* (* f (PI)) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (+ (* (* f (PI)) 1/4) 1) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (* (PI) 1/2) f) (* (PI) 1/2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (/ (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (log (* 2 (* (* f (PI)) 1/2)))) (PI)) -4) (/ (/ (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (log (* 2 (* (* f (PI)) 1/2)))) (PI)) (/ (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (log (* 2 (* (* f (PI)) 1/2)))) (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2))) (log (* 2 (* (* f (PI)) 1/2))) (* 2 (* (* f (PI)) 1/2)))
245.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (* (/ 1 (PI)) 4)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (* (/ 1 (PI)) 4))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (neg (* (/ 1 (PI)) 4)) (* (/ 1 (PI)) 4) (/ 1 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)))
146.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (* (/ 1 (PI)) 4)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (* (/ 1 (PI)) 4))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (neg (* (/ 1 (PI)) 4)) (* (/ 1 (PI)) 4) (/ 1 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)))
138.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (neg (log (/ f (/ 4 (PI))))) (PI)) -4) (/ (neg (log (/ f (/ 4 (PI))))) (PI)) (neg (log (/ f (/ 4 (PI))))) (log (/ f (/ 4 (PI)))) (/ f (/ 4 (PI))) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) (/ (log 2) (PI)) (log 2) 2 (/ (log (* (* f (PI)) 1/2)) (PI)) (log (* (* f (PI)) 1/2)) (* (* f (PI)) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (+ (* (* f (PI)) 1/4) 1) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (* (PI) 1/2) f) (* (PI) 1/2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (/ (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (log (* 2 (* (* f (PI)) 1/2)))) (PI)) -4) (/ (/ (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (log (* 2 (* (* f (PI)) 1/2)))) (PI)) (/ (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (log (* 2 (* (* f (PI)) 1/2)))) (- (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2)))) (* (log 2) (log 2)) (* (log (* (* f (PI)) 1/2)) (log (* (* f (PI)) 1/2))) (log (* 2 (* (* f (PI)) 1/2))) (* 2 (* (* f (PI)) 1/2)))
117.0ms
k
@-inf
((/ 2 (* (* (* (exp (+ (* (log t) 3) (* -2 (log l)))) (sin k)) (tan k)) (+ (* (/ k t) (/ k t)) 2))) 2 (* (* (* (exp (+ (* (log t) 3) (* -2 (log l)))) (sin k)) (tan k)) (+ (* (/ k t) (/ k t)) 2)) (* (* (exp (+ (* (log t) 3) (* -2 (log l)))) (sin k)) (tan k)) (* (exp (+ (* (log t) 3) (* -2 (log l)))) (sin k)) (exp (+ (* (log t) 3) (* -2 (log l)))) (+ (* (log t) 3) (* -2 (log l))) (log t) t 3 (* -2 (log l)) -2 (log l) l (sin k) k (tan k) (+ (* (/ k t) (/ k t)) 2) (/ k t) (/ 2 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (* (tan k) (+ (+ (* (/ k t) (/ k t)) 1) 1)))) (* (/ l (* (* k k) (* (* t t) t))) l) (/ l (* (* k k) (* (* t t) t))) (* (* k k) (* (* t t) t)) (* k k) (* (* t t) t) (* t t) (/ 2 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (* (tan k) (+ (+ (* (/ k t) (/ k t)) 1) 1)))) (* l (/ l (exp (+ (* (log k) 2) (* (log t) 3))))) (/ l (exp (+ (* (log k) 2) (* (log t) 3)))) (exp (+ (* (log k) 2) (* (log t) 3))) (+ (* (log k) 2) (* (log t) 3)) (log k) (* (log t) 3) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (+ (* (* (/ t (* l l)) (* t t)) 2) (* (* k k) (/ (+ (* 1/3 (* (* t t) t)) t) (* l l)))) (* k k)) (+ (* (* (/ t (* l l)) (* t t)) 2) (* (* k k) (/ (+ (* 1/3 (* (* t t) t)) t) (* l l)))) (* (/ t (* l l)) (* t t)) (/ t (* l l)) (* l l) (* (* k k) (/ (+ (* 1/3 (* (* t t) t)) t) (* l l))) (/ (+ (* 1/3 (* (* t t) t)) t) (* l l)) (+ (* 1/3 (* (* t t) t)) t) 1/3 (/ (/ 2 (* (* t (* t (/ t (* l l)))) (* (sin k) (tan k)))) (+ (* (/ k t) (/ k t)) 2)) (/ 2 (* (* t (* t (/ t (* l l)))) (* (sin k) (tan k)))) (* (* t (* t (/ t (* l l)))) (* (sin k) (tan k))) (* t (* t (/ t (* l l)))) (* t (/ t (* l l))) (* (sin k) (tan k)))

derivations9.5s (5.7%)

Memory
64.9MiB live, 9 526.3MiB allocated; 1.4s collecting garbage
Stop Event
30×fuel
done
Compiler

Compiled 7 214 to 3 991 computations (44.7% saved)

preprocess9.1s (5.5%)

Memory
-383.5MiB live, 12 213.0MiB allocated; 3.6s collecting garbage
Stop Event
31×node-limit
saturated
Compiler

Compiled 107 938 to 82 532 computations (23.5% saved)

analyze8.9s (5.4%)

Memory
25.2MiB live, 10 776.2MiB allocated; 4.3s collecting garbage
Algorithm
32×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%98.2%1.8%0%0%0%0
22.2%21.8%76.4%1.8%0%0%0%1
22.6%21.8%74.8%1.8%0%1.6%0%2
28.6%26.5%66.3%1.8%0%5.5%0%3
32.6%29.6%61.2%1.8%0%7.4%0%4
35.8%32.3%58%1.8%0%8%0%5
40.1%36.1%54%1.8%0%8.1%0%6
45.5%40.6%48.7%1.8%0%8.9%0%7
47.9%42.1%45.8%1.8%0%10.3%0%8
51%44.6%43%1.8%0%10.6%0%9
52.1%45.5%41.8%1.8%0%11%0%10
53.9%46.7%40%1.8%0%11.5%0%11
55.6%47.9%38.2%1.8%0%12.1%0%12
Compiler

Compiled 798 to 574 computations (28.1% saved)

eval7.5s (4.5%)

Memory
191.9MiB live, 12 931.1MiB allocated; 2.3s collecting garbage
Compiler

Compiled 1 099 829 to 278 242 computations (74.7% saved)

prune4.4s (2.6%)

Memory
-46.8MiB live, 7 512.9MiB allocated; 1.1s collecting garbage
Counts
54 328 → 2 947
Compiler

Compiled 173 177 to 139 866 computations (19.2% saved)

bsearch4.1s (2.5%)

Memory
-17.2MiB live, 5 882.3MiB allocated; 781ms collecting garbage
Algorithm
221×binary-search
191×left-value
Stop Event
214×narrow-enough
predicate-same
Samples
1.8s14 579×0valid
391.0ms2 949×0invalid
130.0ms798×1valid
68.0ms220×2valid
37.0ms51×3valid
19.0ms94×1invalid
6.0ms25×2invalid
Compiler

Compiled 102 366 to 100 076 computations (2.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult!: 440.0ms (26% of total)
ival-div!: 278.0ms (16.4% of total)
ival-pow2: 169.0ms (10% of total)
ival-pow: 166.0ms (9.8% of total)
ival-sin: 117.0ms (6.9% of total)
ival-add!: 96.0ms (5.7% of total)
ival-tan: 88.0ms (5.2% of total)
ival-sub!: 69.0ms (4.1% of total)
ival-exp: 52.0ms (3.1% of total)
adjust: 49.0ms (2.9% of total)
ival-sqrt: 45.0ms (2.7% of total)
ival-neg: 41.0ms (2.4% of total)
ival-hypot: 36.0ms (2.1% of total)
ival-cos: 29.0ms (1.7% of total)
ival-atan: 9.0ms (0.5% of total)
ival-tanu: 6.0ms (0.4% of total)
ival-fabs: 4.0ms (0.2% of total)

start2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Profiling

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