Herbie run

Date:Thursday, April 3rd, 2025
Commit:753370c2 on random-cleanup
Seed:2025093
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:466 576.8 MB

Time bar (total: 6.2min)

sample2.8min (45.5%)

Memory
1 383.7MiB live, 195 806.2MiB allocated; 50.8s collecting garbage
Samples
44.9s119 528×1valid
34.3s281 183×0valid
19.3s3 935×4exit
14.8s25 290×2valid
7.4s3 290×3valid
7.3s11 373×5exit
6.2s34 793×0exit
2.5s12 189×1invalid
1.9s19 901×0invalid
414.0ms932×2invalid
282.0ms2 662×1exit
71.0ms21×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 23.1s (19.7% of total)
ival-mult!: 12.2s (10.4% of total)
ival-cos: 11.0s (9.3% of total)
adjust: 10.4s (8.9% of total)
ival-sin: 8.4s (7.2% of total)
ival-pow2: 8.2s (7% of total)
ival-div!: 7.0s (6% of total)
ival-sinu: 5.7s (4.8% of total)
ival-cosu: 5.7s (4.8% of total)
ival-exp: 5.4s (4.6% of total)
ival-sqrt: 3.9s (3.3% of total)
ival-log: 3.7s (3.1% of total)
ival-sub!: 3.2s (2.7% of total)
ival-add!: 3.0s (2.5% of total)
ival-neg: 2.2s (1.9% of total)
ival-cbrt: 783.0ms (0.7% of total)
ival-atan2: 744.0ms (0.6% of total)
ival-hypot: 692.0ms (0.6% of total)
ival-acos: 679.0ms (0.6% of total)
ival-tan: 621.0ms (0.5% of total)
ival-atan: 314.0ms (0.3% of total)
ival-fabs: 151.0ms (0.1% of total)
ival-asin: 148.0ms (0.1% of total)
ival-log1p: 109.0ms (0.1% of total)
ival-<: 67.0ms (0.1% of total)
ival-and: 51.0ms (0% of total)
ival-assert: 8.0ms (0% of total)
ival-<=: 6.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite52.4s (14.1%)

Memory
538.9MiB live, 62 399.1MiB allocated; 14.3s collecting garbage
Stop Event
451×iter-limit
187×node-limit
7×unsound
3×saturated
Counts
54 473 → 79 402

regimes34.6s (9.3%)

Memory
489.8MiB live, 50 107.7MiB allocated; 9.2s collecting garbage
Counts
18 949 → 847
Calls

155 calls:

2.6s
phi2
2.5s
phi1
2.4s
lambda1
2.1s
lambda2
1.6s
(-.f64 lambda1 lambda2)
Compiler

Compiled 19 407 to 15 224 computations (21.6% saved)

series29.1s (7.8%)

Memory
1 395.6MiB live, 41 419.3MiB allocated; 6.7s collecting garbage
Counts
7 640 → 46 833
Calls

1617 calls:

TimeVariablePointExpression
349.0ms
phi2
@-inf
((* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))))) (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2)) (cos phi1) phi1 (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2)) (cos phi2) phi2 (pow (sin (* 1/2 (- lambda1 lambda2))) 2) (sin (* 1/2 (- lambda1 lambda2))) (* 1/2 (- lambda1 lambda2)) 1/2 (- lambda1 lambda2) lambda1 lambda2 (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2) (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (cos (* 1/2 phi2)) (* 1/2 phi2) (sin (* 1/2 phi1)) (* 1/2 phi1) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2))) (cos (* 1/2 phi1)) (sin (* 1/2 phi2)) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2))) 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (- lambda1 lambda2))) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)) (pow (sin (* 1/2 (- phi1 phi2))) 2) (sin (* 1/2 (- phi1 phi2))) (* 1/2 (- phi1 phi2)) (- phi1 phi2) (* (* (atan2 (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) 2) R) (* (atan2 (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) 2) (atan2 (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2)) (+ (* (cos phi1) (- 1/2 (* 1/2 (cos (- lambda1 lambda2))))) (pow (sin (* 1/2 phi1)) 2)) (- 1/2 (* 1/2 (cos (- lambda1 lambda2)))) (* 1/2 (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)) (pow (sin (* 1/2 phi1)) 2) (sqrt (- 1 (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2)))) (- 1 (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2)) (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2))))) (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))) (cos (* 2 (/ (- lambda1 lambda2) 2))) (* 2 (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (* (* (atan2 (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) 2) R) (* (atan2 (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) 2) (atan2 (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))))) (sqrt (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (sqrt (- 1 (+ (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2)))) (- 1 (+ (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2))) (+ (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (pow (sin (/ (- phi1 phi2) 2)) 2)) (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) (cos (+ phi2 phi1)) (+ phi2 phi1) (cos (- phi2 phi1)) (- phi2 phi1) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2))) (pow (sin (* 1/2 (- phi1 phi2))) 2)) (* (cos phi2) (pow (sin (* 1/2 lambda1)) 2)) (pow (sin (* 1/2 lambda1)) 2) (sin (* 1/2 lambda1)) (* 1/2 lambda1) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (* (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (/ (+ (cos (+ phi2 phi1)) (cos (- phi2 phi1))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2)))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2))) (sin (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2)) (/ (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 2) (/ (- (pow lambda1 3) (pow lambda2 3)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (- (pow lambda1 3) (pow lambda2 3)) (pow lambda1 3) 3 (pow lambda2 3) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 lambda2)) (* lambda1 lambda2))
182.0ms
s
@-inf
((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (pow (+ (exp (neg s)) 1) -1)) c_n) (pow (- 1 (pow (+ (exp (neg t)) 1) -1)) c_n)) (pow (- 1 (pow (+ (exp (neg s)) 1) -1)) c_n) (- 1 (pow (+ (exp (neg s)) 1) -1)) 1 (pow (+ (exp (neg s)) 1) -1) (+ (exp (neg s)) 1) (exp (neg s)) (neg s) s -1 c_n (pow (- 1 (pow (+ (exp (neg t)) 1) -1)) c_n) (- 1 (pow (+ (exp (neg t)) 1) -1)) (pow (+ (exp (neg t)) 1) -1) (+ (exp (neg t)) 1) (exp (neg t)) (neg t) t (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (exp (- (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (neg (log (+ 1 (exp (neg t))))) c_p))) (- (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (neg (log (+ 1 (exp (neg t))))) c_p)) (* (neg (log (+ 1 (exp (neg s))))) c_p) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) c_p (* (neg (log (+ 1 (exp (neg t))))) c_p) (neg (log (+ 1 (exp (neg t))))) (log (+ 1 (exp (neg t)))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 (+ c_p c_n)) 1/2 (+ c_p c_n) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ 1 (+ 1 (exp (neg t)))) (+ 1 (exp (neg t))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg t))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg s))))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
169.0ms
t
@inf
((fabs (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* ew (cos t)) ew (cos t) t (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))) (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)) (pow (* (neg eh) (/ (tan t) ew)) 2) (* (neg eh) (/ (tan t) ew)) (neg eh) eh (/ (tan t) ew) (tan t) 2 (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* eh (sin t)) (sin t) (sin (atan (/ (* (neg eh) (tan t)) ew))) (atan (/ (* (neg eh) (tan t)) ew)) (/ (* (neg eh) (tan t)) ew) (* (neg eh) (tan t)) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) ew) (cos (atan (neg (* (/ eh ew) (tan t))))) (atan (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (+ (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (/ (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) ew)) ew) (+ (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (/ (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) ew)) (/ (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) ew))
160.0ms
t
@0
((fabs (+ (* ew (* (sin t) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t))))))) (+ (* ew (* (sin t) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t)))))) ew (* (sin t) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))) (sin t) t (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))) 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))) (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))) (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) eh (tan t) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t))))) (* (cos t) eh) (cos t) (tanh (asinh (/ (/ eh ew) (tan t)))) (asinh (/ (/ eh ew) (tan t))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) eh) (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (asinh (* (/ (cos t) ew) (/ eh (sin t)))) (* (/ (cos t) ew) (/ eh (sin t))) (/ eh (* ew t)) (* ew t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) eh) (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (asinh (* (/ (cos t) ew) (/ eh (sin t)))) (* (/ (cos t) ew) (/ eh (sin t))) (/ (cos t) ew) (cos t) (+ 1 (* -1/2 (* t t))) (* -1/2 (* t t)) -1/2 (* t t) (/ eh (sin t)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (atan (/ (* eh (cos t)) (* ew (sin t)))) (/ (* eh (cos t)) (* ew (sin t))) (* eh (cos t)) (* ew (sin t)) (fabs (+ (* ew (* (sin t) (cos (atan (/ (/ eh ew) (tan t)))))) (* (* (cos t) eh) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* ew (* (sin t) (cos (atan (/ (/ eh ew) (tan t)))))) (* (* (cos t) eh) (sin (atan (/ (/ eh ew) (tan t)))))) (* (sin t) (cos (atan (/ (/ eh ew) (tan t))))) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (* (* (cos t) eh) (sin (atan (/ (/ eh ew) (tan t))))) (sin (atan (/ (/ eh ew) (tan t)))))
152.0ms
t
@0
((fabs (+ (* ew (* (sin t) (cos (atan (/ (/ eh ew) (tan t)))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t))))))) (+ (* ew (* (sin t) (cos (atan (/ (/ eh ew) (tan t)))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t)))))) ew (* (sin t) (cos (atan (/ (/ eh ew) (tan t))))) (sin t) t (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) eh (tan t) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t))))) (* (cos t) eh) (cos t) (tanh (asinh (/ (/ eh ew) (tan t)))) (asinh (/ (/ eh ew) (tan t))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) eh) (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (asinh (* (/ (cos t) ew) (/ eh (sin t)))) (* (/ (cos t) ew) (/ eh (sin t))) (/ (cos t) ew) (/ eh (sin t)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ (/ (+ (* -1/3 (* (* t t) eh)) eh) ew) t) (/ (+ (* -1/3 (* (* t t) eh)) eh) ew) (+ (* -1/3 (* (* t t) eh)) eh) -1/3 (* (* t t) eh) (* t t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (+ (* ew (/ (* (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) (sin t)) eh)) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (cos t))) eh) (+ (* ew (/ (* (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) (sin t)) eh)) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (cos t))) (/ (* (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) (sin t)) eh) (* (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) (sin t)) (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) (atan (* (/ (cos t) ew) (/ eh (sin t)))) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (cos t)))

eval22.9s (6.2%)

Memory
448.2MiB live, 32 653.9MiB allocated; 8.4s collecting garbage
Compiler

Compiled 12 737 735 to 586 696 computations (95.4% saved)

prune22.5s (6%)

Memory
-902.5MiB live, 35 840.6MiB allocated; 6.1s collecting garbage
Counts
111 090 → 5 986
Compiler

Compiled 1 031 884 to 385 447 computations (62.6% saved)

explain18.7s (5%)

Memory
6.6MiB live, 23 503.7MiB allocated; 3.9s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity17971
+.f64#fcancellation169435
sin.f64#fsensitivity15855
sqrt.f64#foflow-rescue13610
-.f64#fcancellation91510
-.f64#fnan-rescue6970
log.f64#fsensitivity5902
/.f64#fo/n4440
/.f64#fo/o3930
*.f64#fn*o2780
/.f64#fu/u2580
/.f64#fu/n1960
exp.f64#fsensitivity15918
sqrt.f64#fuflow-rescue1440
/.f64#fn/o1190
cbrt.f64#foflow-rescue1040
*.f64#fn*u910
/.f64#fn/u440
cbrt.f64#fuflow-rescue390
*.f64#fo*u380
*.f64#fu*o240
acos.f64(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))sensitivity225
pow.f64#fuflow-rescue90
log.f64#foflow-rescue80
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)sensitivity31
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue10
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow57
↳(exp.f64 b)underflow81
Confusion
Predicted +Predicted -
+570068
-12966248
Precision
0.8147512864493996
Recall
0.9882108183079057
Confusion?
Predicted +Predicted MaybePredicted -
+57004127
-1296286220
Precision?
0.8125973106864827
Recall?
0.9953190013869625
Freqs
test
numberfreq
06316
14609
21567
3346
4255
5138
650
727
83
91
Total Confusion?
Predicted +Predicted MaybePredicted -
+4110
-217
Precision?
0.9333333333333333
Recall?
1.0
Samples
3.0s7 630×1valid
2.1s16 620×0valid
1.7s2 072×2valid
416.0ms302×3valid
Compiler

Compiled 19 935 to 2 551 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.5s
ival-sin: 894.0ms (16.1% of total)
ival-mult!: 732.0ms (13.2% of total)
ival-cos: 726.0ms (13.1% of total)
ival-pow2: 490.0ms (8.8% of total)
adjust: 446.0ms (8% of total)
ival-div!: 402.0ms (7.3% of total)
ival-cosu: 348.0ms (6.3% of total)
ival-sinu: 264.0ms (4.8% of total)
ival-exp: 230.0ms (4.2% of total)
ival-sqrt: 212.0ms (3.8% of total)
ival-log: 181.0ms (3.3% of total)
ival-sub!: 149.0ms (2.7% of total)
ival-add!: 125.0ms (2.3% of total)
ival-neg: 65.0ms (1.2% of total)
ival-tan: 56.0ms (1% of total)
ival-atan2: 50.0ms (0.9% of total)
ival-pow: 40.0ms (0.7% of total)
ival-hypot: 35.0ms (0.6% of total)
ival-acos: 30.0ms (0.5% of total)
ival-atan: 25.0ms (0.5% of total)
ival-cbrt: 19.0ms (0.3% of total)
ival-fabs: 12.0ms (0.2% of total)
ival-asin: 6.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)

analyze16.4s (4.4%)

Memory
-37.9MiB live, 19 370.4MiB allocated; 6.6s collecting garbage
Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
17.2%13.7%65.7%20.6%0%0%0%1
25%19.6%58.5%20.6%0%1.3%0%2
35.2%26.6%48.9%20.6%0%3.8%0%3
42.3%31.7%43.1%20.6%0%4.5%0%4
47.9%35.6%38.7%20.6%0%5.1%0%5
51%37.6%36.1%20.6%0%5.7%0%6
54.4%39.7%33.2%20.6%0%6.5%0%7
56.2%40.7%31.8%20.6%0%6.8%0%8
59%42.5%29.5%20.6%0%7.4%0%9
60.3%43.2%28.4%20.6%0%7.7%0%10
62.1%44.3%27%20.6%0%8.1%0%11
63.6%45.1%25.8%20.6%0%8.5%0%12
Compiler

Compiled 1 826 to 963 computations (47.3% saved)

preprocess3.2s (0.9%)

Memory
-409.3MiB live, 2 963.8MiB allocated; 500ms collecting garbage
Stop Event
46×node-limit
6×saturated
Compiler

Compiled 21 814 to 8 156 computations (62.6% saved)

derivations2.8s (0.7%)

Memory
-233.1MiB live, 2 417.0MiB allocated; 462ms collecting garbage
Stop Event
12×fuel
9×done
Compiler

Compiled 4 549 to 1 222 computations (73.1% saved)

bsearch56.0ms (0%)

Memory
-100.6MiB live, 86.8MiB allocated; 20ms collecting garbage
Algorithm
28×left-value
Compiler

Compiled 1 800 to 1 175 computations (34.7% saved)

start38.0ms (0%)

Memory
-15.9MiB live, 7.1MiB allocated; 10ms collecting garbage

end0.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated; 0ms collecting garbage

Profiling

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