Herbie run

Date:Thursday, April 24th, 2025
Commit:d5acc5eb on main
Seed:2025114
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:213 293.4 MB

Time bar (total: 2.7min)

sample1.1min (41.8%)

Memory
-18.3MiB live, 86 218.6MiB allocated; 27.0s collecting garbage
Samples
27.4s224 497×0valid
6.7s66 126×0invalid
6.2s23 439×1valid
3.5s14 574×1invalid
3.3s9 819×2valid
2.1s6 431×3valid
139.0ms556×2invalid
26.0ms240×0exit
2.0ms4valid
1.0ms3exit
0.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 36.5s
ival-mult!: 10.1s (27.6% of total)
ival-div!: 4.6s (12.5% of total)
ival-pow2: 3.0s (8.3% of total)
ival-sqrt: 2.6s (7.2% of total)
adjust: 2.5s (6.7% of total)
ival-exp: 2.2s (5.9% of total)
ival-pow: 2.0s (5.5% of total)
ival-sin: 1.8s (5.1% of total)
ival-sub!: 1.7s (4.6% of total)
ival-add!: 1.2s (3.3% of total)
ival-cos: 995.0ms (2.7% of total)
ival-tan: 846.0ms (2.3% of total)
ival-acos: 685.0ms (1.9% of total)
ival-neg: 655.0ms (1.8% of total)
ival-log: 647.0ms (1.8% of total)
ival-hypot: 482.0ms (1.3% of total)
ival-tanu: 184.0ms (0.5% of total)
ival-asin: 180.0ms (0.5% of total)
ival-atan: 90.0ms (0.2% of total)
ival-fabs: 77.0ms (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

rewrite26.7s (16.4%)

Memory
620.9MiB live, 31 526.9MiB allocated; 7.8s collecting garbage
Stop Event
300×iter-limit
124×node-limit
unsound
Counts
27 403 → 45 843

regimes13.8s (8.5%)

Memory
130.3MiB live, 21 630.0MiB allocated; 3.3s collecting garbage
Counts
9 680 → 764
Calls

156 calls:

760.0ms
l
746.0ms
t
517.0ms
k
380.0ms
x
293.0ms
F
Compiler

Compiled 10 158 to 12 074 computations (-18.9% saved)

series11.2s (6.9%)

Memory
377.7MiB live, 18 002.1MiB allocated; 2.5s collecting garbage
Counts
4 472 → 22 931
Calls

1200 calls:

TimeVariablePointExpression
237.0ms
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 (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (* (/ 1 (PI)) 4) (/ 1 (PI)) (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))))))) (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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4))) -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) (PI)) 1/192 (* (* (PI) (PI)) 1/4))
214.0ms
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 (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (* (/ 1 (PI)) 4) (/ 1 (PI)) (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))))))) (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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4))) -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) (PI)) 1/192 (* (* (PI) (PI)) 1/4))
168.0ms
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 2) (log (/ (cosh (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (+ (log 2) (log (/ (cosh (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (+ (log 2) (log (/ (cosh (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (log 2) 2 (log (/ (cosh (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (cosh (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (* (sinh (* (* f (PI)) 1/4)) 2) (sinh (* (* f (PI)) 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)))))))) (* (/ 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (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 (* (* 1/2 (PI)) f)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* 1/2 (PI)) f)) (PI))) (/ (log 2) (PI)) (/ (log (* (* 1/2 (PI)) f)) (PI)) (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (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)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (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))))))) (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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) (exp (* (log f) 2))) (exp (* (log f) 2)) (* (log f) 2) (log f))
109.0ms
l
@0
((/ 2 (* (* (* (exp (+ (* (log t) 3) (* -2 (log l)))) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (exp (+ (* (log t) 3) (* -2 (log l)))) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (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) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (* l (/ l (* (* k k) (* (* t t) t)))) (/ l (* (* k k) (* (* t t) t))) (* (* k k) (* (* t t) t)) (* k k) (* (* t t) t) (* t t) (/ 2 (* (+ (+ (* (/ k t) (/ k t)) 1) 1) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)))) (* (+ (+ (* (/ k t) (/ k t)) 1) 1) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k))) (+ (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* (/ (+ (* (* (* k k) 1/6) (* (* t t) t)) (* (* t t) t)) (* l l)) k) k) (* (/ (+ (* (* (* k k) 1/6) (* (* t t) t)) (* (* t t) t)) (* l l)) k) (/ (+ (* (* (* k k) 1/6) (* (* t t) t)) (* (* t t) t)) (* l l)) (+ (* (* (* k k) 1/6) (* (* t t) t)) (* (* t t) t)) (* (* k k) 1/6) 1/6 (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (* (cos k) l) l) 2) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k)) (* (* (* (cos k) l) l) 2) (* (* (cos k) l) l) (* (cos k) l) (cos k) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k) (/ 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 t) t) (* (/ (+ (* (/ k t) (/ k t)) 2) (* l l)) (/ (- 1/2 (* (cos (+ k k)) 1/2)) (cos k)))) (* (/ (+ (* (/ k t) (/ k t)) 2) (* l l)) (/ (- 1/2 (* (cos (+ k k)) 1/2)) (cos k))) (/ (+ (* (/ k t) (/ k t)) 2) (* l l)) (+ (* (/ k t) (/ k t)) 2) (/ (- 1/2 (* (cos (+ k k)) 1/2)) (cos k)))
92.0ms
U*
@0
((sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))) (* (* 2 n) U) (* 2 n) 2 n U (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))) (- t (* 2 (/ (* l l) Om))) t (* (* n (pow (/ l Om) 2)) (- U U*)) (* n (pow (/ l Om) 2)) (pow (/ l Om) 2) (/ l Om) l Om (- U U*) U* (sqrt (* (* (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (+ n n)) U)) (* (* (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (+ n n)) U) (* (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (+ n n)) (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (+ n n) (sqrt (* (+ n n) (* U (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*))))))) (* (+ n n) (* U (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))))) (* U (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*))))) (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (/ (- (* Om (+ (* -2 (* l l)) (* Om t))) (* (* l l) (* n (- U U*)))) (* Om Om)) (+ (* (* (/ l Om) l) -2) t) (* (/ l Om) l) -2 (sqrt (* (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (* (+ n n) U))) (* (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (* (+ n n) U)) (* (/ (* (* U* U) (* (* n n) (* l l))) (* Om Om)) 2) (/ (* (* U* U) (* (* n n) (* l l))) (* Om Om)) (* (* U* U) (* (* n n) (* l l))) (* U* U) (* (* n n) (* l l)) (* n n) (* l l) (* Om Om) (* (sqrt (* (+ n n) U)) (sqrt (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))))) (sqrt (* (+ n n) U)) (* (+ n n) U) (sqrt (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*))))) (- (+ (* -2 (* l (/ l Om))) t) (* n (* (* (/ l Om) (/ l Om)) (- U U*)))) (+ (* -2 (* l (/ l Om))) t) (* l (/ l Om)) (* n (* (* (/ l Om) (/ l Om)) (- U U*))) (* (* (/ l Om) (/ l Om)) (- U U*)) (* (/ l Om) (/ l Om)))

derivations9.9s (6.1%)

Memory
-199.7MiB live, 8 536.5MiB allocated; 2.3s collecting garbage
Stop Event
32×fuel
Compiler

Compiled 7 211 to 3 957 computations (45.1% saved)

preprocess8.5s (5.2%)

Memory
-279.8MiB live, 12 274.0MiB allocated; 2.8s collecting garbage
Stop Event
31×node-limit
saturated
Compiler

Compiled 101 055 to 76 750 computations (24.1% saved)

analyze8.5s (5.2%)

Memory
173.9MiB live, 11 440.4MiB allocated; 3.5s 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)

eval7.4s (4.5%)

Memory
-88.7MiB live, 11 762.6MiB allocated; 2.6s collecting garbage
Compiler

Compiled 1 008 456 to 265 270 computations (73.7% saved)

prune4.7s (2.9%)

Memory
176.1MiB live, 6 916.5MiB allocated; 2.1s collecting garbage
Counts
51 641 → 2 783
Compiler

Compiled 165 145 to 130 194 computations (21.2% saved)

bsearch4.0s (2.4%)

Memory
-12.6MiB live, 4 981.8MiB allocated; 926ms collecting garbage
Algorithm
238×binary-search
189×left-value
Stop Event
227×narrow-enough
11×predicate-same
Samples
2.0s15 607×0valid
239.0ms2 412×0invalid
59.0ms340×1valid
17.0ms74×2valid
11.0ms43×3valid
4.0ms25×1invalid
0.0ms2invalid
Compiler

Compiled 104 936 to 100 487 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult!: 269.0ms (15.9% of total)
ival-sin: 253.0ms (14.9% of total)
ival-div!: 240.0ms (14.2% of total)
ival-pow: 179.0ms (10.6% of total)
ival-exp: 135.0ms (8% of total)
ival-add!: 124.0ms (7.3% of total)
ival-tan: 104.0ms (6.1% of total)
ival-neg: 101.0ms (6% of total)
ival-pow2: 100.0ms (5.9% of total)
ival-sub!: 77.0ms (4.5% of total)
ival-cos: 38.0ms (2.2% of total)
ival-sqrt: 27.0ms (1.6% of total)
adjust: 26.0ms (1.5% of total)
ival-hypot: 13.0ms (0.8% of total)
ival-atan: 6.0ms (0.4% of total)
ival-fabs: 4.0ms (0.2% of total)
ival-tanu: 2.0ms (0.1% of total)

start1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Profiling

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