Herbie run

Date:Thursday, March 6th, 2025
Commit:4b6bc306 on chassis-platforms-cleanup
Seed:2025065
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:467 385.4 MB

Time bar (total: 5.2min)

sample1.3min (25.4%)

Memory
823.2MiB live, 103 676.3MiB allocated; 30.1s collecting garbage
Samples
33.2s224 531×0valid
8.8s64 883×0invalid
7.1s23 737×1valid
4.4s13 644×1invalid
3.3s9 647×2valid
2.6s6 268×3valid
485.0ms1 571×2invalid
24.0ms215×0exit
6.0ms9×4valid
Precisions
Click to see histograms. Total time spent on operations: 44.7s
ival-mult: 10.7s (24% of total)
ival-div: 7.3s (16.3% of total)
ival-add: 3.5s (7.8% of total)
adjust: 3.2s (7.1% of total)
ival-sin: 2.9s (6.5% of total)
ival-sub: 2.8s (6.3% of total)
ival-sqrt: 2.6s (5.8% of total)
ival-pow2: 2.2s (5% of total)
ival-exp: 1.9s (4.2% of total)
ival-pow: 1.8s (4.1% of total)
ival-tan: 964.0ms (2.2% of total)
ival-neg: 868.0ms (1.9% of total)
ival-cos: 781.0ms (1.7% of total)
ival-pi: 738.0ms (1.6% of total)
ival-acos: 582.0ms (1.3% of total)
exact: 413.0ms (0.9% of total)
ival-hypot: 388.0ms (0.9% of total)
ival-log: 316.0ms (0.7% of total)
ival-asin: 179.0ms (0.4% of total)
ival-tanu: 174.0ms (0.4% of total)
ival-assert: 115.0ms (0.3% of total)
const: 114.0ms (0.3% of total)
ival-atan: 74.0ms (0.2% of total)
ival-fabs: 41.0ms (0.1% of total)
ival-<: 2.0ms (0% of total)
ival-and: 1.0ms (0% of total)
Bogosity

prune1.2min (22.4%)

Memory
29.2MiB live, 109 390.3MiB allocated; 16.4s collecting garbage
Counts
103 711 → 914
Compiler

Compiled 177 145 to 48 878 computations (72.4% saved)

eval1.1min (22.1%)

Memory
917.1MiB live, 127 099.6MiB allocated; 20.3s collecting garbage
Compiler

Compiled 83 369 626 to 511 566 computations (99.4% saved)

rewrite31.0s (10%)

Memory
858.1MiB live, 41 653.4MiB allocated; 8.2s collecting garbage
Stop Event
260×iter limit
108×node limit
4×unsound
Counts
30 269 → 47 648

series22.3s (7.2%)

Memory
-12.3MiB live, 32 090.9MiB allocated; 7.4s collecting garbage
Counts
5 115 → 25 154
Calls

1053 calls:

TimeVariablePointExpression
749.0ms
p
@0
((sqrt (* 1/2 (/ (+ 1 (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 3)) (+ 1 (- (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 2) (* 1 (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)))))))) (* 1/2 (/ (+ 1 (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 3)) (+ 1 (- (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 2) (* 1 (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2))))))) 1/2 (/ (+ 1 (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 3)) (+ 1 (- (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 2) (* 1 (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)))))) (+ 1 (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 3)) 1 (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 3) (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) x (pow (+ (* x x) (* (* p 4) p)) 1/2) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 3 (+ 1 (- (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 2) (* 1 (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2))))) (- (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 2) (* 1 (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)))) (pow (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 2) 2 (* 1 (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* (* p (pow x -1)) -1) (* p (pow x -1)) (pow x -1) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* (/ (+ (+ (* (* (/ (pow 1/2 1/2) p) (/ (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (* (pow (* x x) 2) (pow 2 1/2)))) 1/2) (* p 1)) (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4)) x) -1) (/ (+ (+ (* (* (/ (pow 1/2 1/2) p) (/ (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (* (pow (* x x) 2) (pow 2 1/2)))) 1/2) (* p 1)) (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4)) x) (+ (+ (* (* (/ (pow 1/2 1/2) p) (/ (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (* (pow (* x x) 2) (pow 2 1/2)))) 1/2) (* p 1)) (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4)) (+ (* (* (/ (pow 1/2 1/2) p) (/ (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (* (pow (* x x) 2) (pow 2 1/2)))) 1/2) (* p 1)) (* (/ (pow 1/2 1/2) p) (/ (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (* (pow (* x x) 2) (pow 2 1/2)))) (/ (pow 1/2 1/2) p) (pow 1/2 1/2) (/ (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (* (pow (* x x) 2) (pow 2 1/2))) (- (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2))) (+ (* (* (* (* p p) 2) (* (pow (* p p) 2) -12)) 1/2) (* (* 64 (pow (* (* p p) p) 2)) 1/2)) (* (* (* p p) 2) (* (pow (* p p) 2) -12)) (* (* p p) 2) (* p p) (* (pow (* p p) 2) -12) (pow (* p p) 2) -12 (* (* 64 (pow (* (* p p) p) 2)) 1/2) (* 64 (pow (* (* p p) p) 2)) 64 (pow (* (* p p) p) 2) (* (* p p) p) (/ (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) (* (* p p) 2)) (* 1/16 (pow (* (pow (* p p) 2) -12) 2)) 1/16 (pow (* (pow (* p p) 2) -12) 2) (* (pow (* x x) 2) (pow 2 1/2)) (pow (* x x) 2) (* x x) (pow 2 1/2) (* p 1) (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4) (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2))) (* (* x x) (pow 2 1/2)) 1/4 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* (/ (+ (* (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4) (* -1 x)) (* x (neg (* p 1)))) (* x (* -1 x))) -1) (/ (+ (* (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4) (* -1 x)) (* x (neg (* p 1)))) (* x (* -1 x))) (+ (* (* (* (/ (pow 1/2 1/2) p) (/ (* (pow (* p p) 2) -12) (* (* x x) (pow 2 1/2)))) 1/4) (* -1 x)) (* x (neg (* p 1)))) (* -1 x) (* x (neg (* p 1))) (neg (* p 1)) (* x (* -1 x)) (/ 1 (pow (* (+ (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 1) 1/2) -1/2)) (pow (* (+ (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 1) 1/2) -1/2) (* (+ (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 1) 1/2) (+ (/ x (pow (+ (* x x) (* (* p 4) p)) 1/2)) 1) -1/2)
559.0ms
mu
@0
((+ (/ NdChar (+ 1 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))) (* NdChar (+ (pow (+ 1 (exp (/ (- (+ EDonor (+ Vef mu)) Ec) KbT))) -1) (/ NaChar (* NdChar (+ 1 (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))))))) NdChar (+ (pow (+ 1 (exp (/ (- (+ EDonor (+ Vef mu)) Ec) KbT))) -1) (/ NaChar (* NdChar (+ 1 (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)))))) (pow (+ 1 (exp (/ (- (+ EDonor (+ Vef mu)) Ec) KbT))) -1) (+ 1 (exp (/ (- (+ EDonor (+ Vef mu)) Ec) KbT))) 1 (exp (/ (- (+ EDonor (+ Vef mu)) Ec) KbT)) (/ (- (+ EDonor (+ Vef mu)) Ec) KbT) (- (+ EDonor (+ Vef mu)) Ec) (+ EDonor (+ Vef mu)) EDonor (+ Vef mu) Vef mu Ec KbT -1 (/ NaChar (* NdChar (+ 1 (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))))) NaChar (* NdChar (+ 1 (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)))) (+ 1 (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))) (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) (/ (- (+ EAccept (+ Ev Vef)) mu) KbT) (- (+ EAccept (+ Ev Vef)) mu) (+ EAccept (+ Ev Vef)) EAccept (+ Ev Vef) Ev (+ (/ NdChar (+ 1 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))) (/ NdChar (+ 1 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (+ 1 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)) (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT) (neg (- (- (- Ec Vef) EDonor) mu)) (- (- (- Ec Vef) EDonor) mu) (- (- Ec Vef) EDonor) (- Ec Vef) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))) (+ (/ NaChar (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT)))) (* (/ NaChar KbT) (/ (* mu (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (* (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))))))) (/ NaChar (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT)))) (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (exp (/ (+ EAccept (+ Ev Vef)) KbT)) (/ (+ EAccept (+ Ev Vef)) KbT) (* (/ NaChar KbT) (/ (* mu (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (* (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT)))))) (/ NaChar KbT) (/ (* mu (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (* (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))))) (* mu (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (* (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT))) (+ 1 (exp (/ (+ EAccept (+ Ev Vef)) KbT)))))
500.0ms
F
@0
((- (* (PI) l) (/ (* (pow F -1) (sin (* (PI) l))) (* F (sin (+ (* (PI) l) (/ (* -1 (PI)) -2)))))) (* (PI) l) (PI) l (/ (* (pow F -1) (sin (* (PI) l))) (* F (sin (+ (* (PI) l) (/ (* -1 (PI)) -2))))) (* (pow F -1) (sin (* (PI) l))) (/ (sin (* l (PI))) F) (sin (* l (PI))) (* l (PI)) F (* F (sin (+ (* (PI) l) (/ (* -1 (PI)) -2)))) (sin (+ (* (PI) l) (/ (* -1 (PI)) -2))) (+ (* (PI) l) (/ (* -1 (PI)) -2)) (/ (* -1 (PI)) -2) (* -1 (PI)) -1 -2 (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (/ (* (* F F) l) F) (/ (PI) F)) (/ (tan (+ (+ (* (PI) l) (PI)) (PI))) (* F F))) (* (/ (* (* F F) l) F) (/ (PI) F)) (/ (* (* F F) l) F) (* F l) (/ (PI) F) (/ (tan (+ (+ (* (PI) l) (PI)) (PI))) (* F F)) (tan (+ (+ (* (PI) l) (PI)) (PI))) (+ (+ (* (PI) l) (PI)) (PI)) (+ (* (PI) l) (PI)) (* F F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (/ (* (* F F) l) F) (/ (PI) F)) (/ (/ (sin (* l (PI))) (sin (+ (* l (PI)) (/ (PI) 2)))) (* F F))) (* (/ (* (* F F) l) F) (/ (PI) F)) (/ (* (* F F) l) F) (* (* F F) l) (/ (/ (sin (* l (PI))) (sin (+ (* l (PI)) (/ (PI) 2)))) (* F F)) (/ (sin (* l (PI))) (sin (+ (* l (PI)) (/ (PI) 2)))) (sin (+ (* l (PI)) (/ (PI) 2))) (+ (* l (PI)) (/ (PI) 2)) (/ (PI) 2) 2 (- (* (PI) l) (/ (* (pow F -1) (sin (* (PI) l))) (* F (sin (+ (* (PI) l) (/ (* -1 (PI)) -2)))))) (/ (- (* (* (* F F) l) (PI)) (/ (sin (* l (PI))) (sin (+ (* 1/2 (PI)) (* l (PI)))))) (* F F)) (- (* (* (* F F) l) (PI)) (/ (sin (* l (PI))) (sin (+ (* 1/2 (PI)) (* l (PI)))))) (* (* (* F F) l) (PI)) (/ (sin (* l (PI))) (sin (+ (* 1/2 (PI)) (* l (PI))))) (sin (+ (* 1/2 (PI)) (* l (PI)))) (+ (* 1/2 (PI)) (* l (PI))) 1/2 (/ (+ (* (pow (* (PI) l) 3/2) (pow (* (PI) l) 3/2)) (pow (* (neg (pow F -2)) (tan (+ (+ (* (PI) l) (PI)) (PI)))) 3)) (+ (* (fabs (* (PI) l)) (fabs (* (PI) l))) (- (* (* (neg (pow F -2)) (tan (+ (+ (* (PI) l) (PI)) (PI)))) (* (neg (pow F -2)) (tan (+ (+ (* (PI) l) (PI)) (PI))))) (* (* (PI) l) (* (neg (pow F -2)) (tan (+ (+ (* (PI) l) (PI)) (PI)))))))) (+ (* (- (+ (* (- (+ (* (+ (* (/ (+ (* (/ (* (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1)) (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1)))) (* (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2)))) (pow F 6))) 2) (+ (* (/ (sin (* 2 (PI))) (pow F 6)) (/ (+ (* (* (sin (* 2 (PI))) (/ (- (* -1/6 (* (* (PI) (PI)) (PI))) (+ (* (/ (* (* (* (PI) (PI)) (* (sin (* 2 (PI))) (sin (* 2 (PI))))) (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1))) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1) (+ (* (* -1/2 (* (PI) (PI))) (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1))) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (* (* (PI) (PI)) (PI))) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) 1/6)))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) 2) (* (/ (* (* (sin (* 2 (PI))) (PI)) (* (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1)) (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1)))) (sin (+ (* 2 (PI)) (/ (PI) 2)))) 2)) (sin (+ (* 2 (PI)) (/ (PI) 2))))) (+ (* (/ (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (pow F 6)) (/ (- (* -1/6 (* (* (PI) (PI)) (PI))) (+ (* (/ (* (* (* (PI) (PI)) (* (sin (* 2 (PI))) (sin (* 2 (PI))))) (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1))) (* (sin (+ (* 2 (PI)) (/ (PI) 2))) (sin (+ (* 2 (PI)) (/ (PI) 2))))) -1) (+ (* (* -1/2 (* (PI) (PI))) (- (PI) (* (/ (* (* (sin (* 2 (PI))) (sin (* 2 (PI)))) (PI)) 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(PI))))))) (- (+ (* 1/16 (* (PI) (PI))) (* 1/4 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/2 (- (* 1/32 (* (PI) (PI))) (+ (* -1/32 (* (PI) (PI))) (* 1/16 (* (PI) (PI)))))))) (+ (* -1/2 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* 1/32 (* (PI) (PI))) (* 1/2 (- (* 1/32 (* (PI) (PI))) (+ (* -1/32 (* (PI) (PI))) (* 1/16 (* (PI) (PI))))))) (+ (* -1/4 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))) (+ (* -1/384 (pow (PI) 3)) (+ (* 1/2 (* (- (* 1/32 (* (PI) (PI))) (+ (* -1/32 (* (PI) (PI))) (* 1/16 (* (PI) (PI))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/2 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* 1/16 (* (PI) (PI))) (* 1/4 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/2 (- (* 1/32 (* (PI) (PI))) (+ (* -1/32 (* (PI) (PI))) (* 1/16 (* (PI) (PI)))))))))))) (+ (* -1/384 (pow (PI) 3)) (+ (* 1/2 (* (- (* 1/32 (* (PI) (PI))) (+ (* -1/32 (* (PI) (PI))) (* 1/16 (* (PI) (PI))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/2 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* 1/16 (* (PI) (PI))) (* 1/4 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/2 (- (* 1/32 (* (PI) (PI))) (+ (* -1/32 (* (PI) (PI))) (* 1/16 (* (PI) (PI))))))))))) (+ (* -1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))) (* -1/4 (PI))))

preprocess9.0s (2.9%)

Memory
511.3MiB live, 11 543.1MiB allocated; 1.5s collecting garbage
Stop Event
64×iter limit
62×node limit
2×saturated
Compiler

Compiled 62 271 to 16 349 computations (73.7% saved)

explain9.0s (2.9%)

Memory
-147.8MiB live, 13 141.5MiB allocated; 2.6s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue4640
-.f64#fcancellation4430
cos.f64#fsensitivity4172
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2550
*.f64#fn*o2310
+.f64#fnan-rescue2310
sqrt.f64#fuflow-rescue1660
*.f64#fu*o1430
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1430
pow.f64#foflow-rescue1270
asin.f64(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))sensitivity1250
-.f64#fnan-rescue1160
pow.f64(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))sensitivity9426
/.f64#fo/o920
*.f64#fn*u660
pow.f64#fuflow-rescue620
+.f64#fcancellation620
*.f64#fo*u620
/.f64#fu/u540
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))oflow-rescue520
↳(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))overflow52
↳(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)overflow52
↳(*.f64 K (+.f64 m n))overflow52
/.f64#fo/n510
/.f64#fn/o370
/.f64#fn/u320
/.f64#fu/n150
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))sensitivity50
exp.f64#fsensitivity22
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))oflow-rescue10
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow6
↳(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))overflow1
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow3
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow3
Confusion
Predicted +Predicted -
+196029
-11335070
Precision
0.6336889751050759
Recall
0.9854198089492208
Confusion?
Predicted +Predicted MaybePredicted -
+1960029
-1133295041
Precision?
0.6278026905829597
Recall?
0.9854198089492208
Freqs
test
numberfreq
05099
12692
2354
340
47
Total Confusion?
Predicted +Predicted MaybePredicted -
+2500
-016
Precision?
0.9615384615384616
Recall?
1.0
Samples
2.1s13 296×0valid
697.0ms1 948×1valid
267.0ms740×2valid
189.0ms392×3valid
3.0ms6×5exit
1.0ms2×4valid
Compiler

Compiled 7 569 to 1 655 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 465.0ms (20.9% of total)
ival-div: 336.0ms (15.1% of total)
adjust: 234.0ms (10.5% of total)
ival-sub: 169.0ms (7.6% of total)
ival-pow2: 155.0ms (7% of total)
ival-exp: 140.0ms (6.3% of total)
ival-add: 129.0ms (5.8% of total)
ival-sin: 119.0ms (5.4% of total)
ival-sqrt: 111.0ms (5% of total)
ival-pow: 69.0ms (3.1% of total)
ival-cos: 55.0ms (2.5% of total)
ival-tan: 48.0ms (2.2% of total)
ival-acos: 32.0ms (1.4% of total)
ival-neg: 30.0ms (1.3% of total)
ival-hypot: 22.0ms (1% of total)
exact: 20.0ms (0.9% of total)
ival-pi: 17.0ms (0.8% of total)
ival-true: 16.0ms (0.7% of total)
ival-log: 12.0ms (0.5% of total)
ival-tanu: 11.0ms (0.5% of total)
ival-asin: 9.0ms (0.4% of total)
const: 8.0ms (0.4% of total)
ival-assert: 7.0ms (0.3% of total)
ival-atan: 5.0ms (0.2% of total)
ival-fabs: 4.0ms (0.2% of total)

analyze8.7s (2.8%)

Memory
181.4MiB live, 12 881.5MiB allocated; 2.2s 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)

regimes4.7s (1.5%)

Memory
-244.7MiB live, 6 657.7MiB allocated; 2.8s collecting garbage
Counts
1 835 → 314
Calls

156 calls:

1.0s
l
496.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
149.0ms
t
101.0ms
d
92.0ms
k
Compiler

Compiled 8 210 to 7 723 computations (5.9% saved)

derivations4.2s (1.3%)

Memory
-316.6MiB live, 3 856.0MiB allocated; 1.4s collecting garbage
Stop Event
16×fuel
16×done
Compiler

Compiled 19 699 to 2 925 computations (85.2% saved)

bsearch2.4s (0.8%)

Memory
8.4MiB live, 3 448.1MiB allocated; 390ms collecting garbage
Algorithm
97×binary-search
40×left-value
Stop Event
91×narrow-enough
6×predicate-same
Samples
893.0ms6 177×0valid
456.0ms3 061×0invalid
107.0ms420×1valid
75.0ms223×2valid
40.0ms107×3valid
20.0ms82×1invalid
1.0ms3×2invalid
0.0ms1×4valid
Compiler

Compiled 83 111 to 51 725 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 372.0ms (30.9% of total)
ival-div: 279.0ms (23.2% of total)
ival-pow: 149.0ms (12.4% of total)
ival-pow2: 71.0ms (5.9% of total)
adjust: 62.0ms (5.1% of total)
ival-sub: 55.0ms (4.6% of total)
ival-sin: 47.0ms (3.9% of total)
ival-add: 44.0ms (3.7% of total)
ival-tan: 43.0ms (3.6% of total)
ival-sqrt: 29.0ms (2.4% of total)
exact: 10.0ms (0.8% of total)
ival-neg: 10.0ms (0.8% of total)
ival-tanu: 8.0ms (0.7% of total)
ival-true: 8.0ms (0.7% of total)
const: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
ival-hypot: 3.0ms (0.2% of total)
ival-atan: 2.0ms (0.2% of total)
ival-pi: 1.0ms (0.1% of total)

simplify1.8s (0.6%)

Memory
-134.6MiB live, 1 942.4MiB allocated; 196ms collecting garbage
Stop Event
31×node limit
1×saturated

start2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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