Herbie run

Date:Thursday, April 17th, 2025
Commit:8acb8247 on no-err2-report
Seed:2025107
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:515 092.4 MB

Time bar (total: 6.9min)

sample2.8min (40.2%)

Memory
2 239.9MiB live, 195 069.4MiB allocated; 45.1s collecting garbage
Samples
43.8s119 120×1valid
32.6s281 398×0valid
19.7s3 935×4exit
16.1s25 501×2valid
7.9s11 267×5exit
7.3s3 269×3valid
4.7s34 721×0exit
2.3s12 523×1invalid
2.2s19 681×0invalid
527.0ms919×2invalid
295.0ms2 723×1exit
72.0ms24×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 21.8s (18.7% of total)
adjust: 12.4s (10.6% of total)
ival-mult!: 12.1s (10.4% of total)
ival-cos: 9.9s (8.5% of total)
ival-sin: 7.7s (6.6% of total)
ival-div!: 7.7s (6.6% of total)
ival-pow2: 7.4s (6.3% of total)
ival-cosu: 6.5s (5.5% of total)
ival-exp: 6.0s (5.1% of total)
ival-sinu: 5.2s (4.4% of total)
ival-log: 5.1s (4.3% of total)
ival-sqrt: 3.4s (2.9% of total)
ival-sub!: 3.1s (2.6% of total)
ival-add!: 3.0s (2.5% of total)
ival-neg: 2.0s (1.7% of total)
ival-atan2: 758.0ms (0.6% of total)
ival-tan: 643.0ms (0.5% of total)
ival-hypot: 581.0ms (0.5% of total)
ival-acos: 404.0ms (0.3% of total)
ival-atan: 322.0ms (0.3% of total)
ival-cbrt: 272.0ms (0.2% of total)
ival-fabs: 191.0ms (0.2% of total)
ival-<: 175.0ms (0.1% of total)
ival-asin: 137.0ms (0.1% of total)
ival-log1p: 128.0ms (0.1% of total)
ival-and: 49.0ms (0% of total)
ival-<=: 24.0ms (0% of total)
ival-assert: 8.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite1.0min (14.6%)

Memory
10.8MiB live, 66 768.5MiB allocated; 21.9s collecting garbage
Stop Event
449×iter-limit
188×node-limit
unsound
saturated
Counts
54 872 → 84 082

regimes40.6s (9.9%)

Memory
-98.3MiB live, 55 812.6MiB allocated; 14.1s collecting garbage
Counts
21 508 → 895
Calls

155 calls:

2.8s
lambda1
2.6s
phi2
2.5s
phi1
2.4s
b
2.3s
(-.f64 lambda1 lambda2)
Compiler

Compiled 21 391 to 16 235 computations (24.1% saved)

series31.3s (7.6%)

Memory
1 733.2MiB live, 44 614.9MiB allocated; 8.6s collecting garbage
Counts
7 756 → 47 116
Calls

1620 calls:

TimeVariablePointExpression
326.0ms
y-scale
@inf
((/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))))) (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))) (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)) (* 4 (* (* b a) (* b (neg a)))) 4 (* (* b a) (* b (neg a))) (* b a) b a (* b (neg a)) (neg a) (pow (* x-scale y-scale) 2) (* x-scale y-scale) x-scale y-scale (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (pow (* a (sin (* (/ angle 180) (PI)))) 2) (* a (sin (* (/ angle 180) (PI)))) (sin (* (/ angle 180) (PI))) (* (/ angle 180) (PI)) (/ angle 180) angle 180 (PI) (pow (* b (cos (* (/ angle 180) (PI)))) 2) (* b (cos (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI))) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (pow (* a (cos (* (/ angle 180) (PI)))) 2) (* a (cos (* (/ angle 180) (PI)))) (pow (* b (sin (* (/ angle 180) (PI)))) 2) (* b (sin (* (/ angle 180) (PI)))) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))) (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)) (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (* 2 (- (pow b 2) (pow a 2))) (- (pow b 2) (pow a 2)) (pow b 2) (pow a 2))
203.0ms
ew
@0
((fabs (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2)))) (sin t) t (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos t) (sin (/ (PI) 2))) (cos t) (sin (/ (PI) 2)) (cos (atan (/ (* (neg eh) (tan t)) ew))) (atan (/ (* (neg eh) (tan t)) ew)) (/ (* (neg eh) (tan t)) ew) (* (neg eh) (tan t)) (neg eh) eh (tan t) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))) (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))))) (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))))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh 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))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (* -1 (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (cos (atan (neg (* (/ eh ew) (tan t))))) (atan (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (pow (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) 2) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew)))) (atan (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (/ (tan t) ew) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))))
198.0ms
ew
@0
((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))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (* (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew)))) (atan (* (neg eh) (/ (tan t) ew))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))))
185.0ms
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))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (* (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew)))) (atan (* (neg eh) (/ (tan t) ew))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))))
180.0ms
t
@0
((fabs (+ (* eh (* (cos t) (tanh (asinh (/ (/ eh ew) (tan t)))))) (* (* (sin t) ew) (cos (atan (/ (/ eh ew) (tan t))))))) (+ (* eh (* (cos t) (tanh (asinh (/ (/ eh ew) (tan t)))))) (* (* (sin t) ew) (cos (atan (/ (/ eh ew) (tan t)))))) eh (* (cos t) (tanh (asinh (/ (/ eh ew) (tan t))))) (cos t) t (tanh (asinh (/ (/ eh ew) (tan t)))) (asinh (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) ew (tan t) (* (* (sin t) ew) (cos (atan (/ (/ eh ew) (tan t))))) (* (sin t) ew) (sin t) (cos (atan (/ (/ eh ew) (tan t)))) (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)))))) (* (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)))))) (* (* (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) ew) (sin t)) (* (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) ew) (cos (atan (* (/ (cos t) ew) (/ eh (sin t))))) (atan (* (/ (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)))) (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 (+ (* (* (sin t) ew) (cos (atan (/ (/ eh ew) (tan t))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t))))))) (+ (* (* (sin t) ew) (cos (atan (/ (/ eh ew) (tan t))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t)))))) (* (* (cos t) eh) (tanh (asinh (/ (/ eh ew) (tan t))))) (* (cos t) eh))

eval25.0s (6.1%)

Memory
293.1MiB live, 38 843.9MiB allocated; 9.2s collecting garbage
Compiler

Compiled 11 342 958 to 598 606 computations (94.7% saved)

explain20.1s (4.9%)

Memory
-181.7MiB live, 25 957.6MiB allocated; 6.5s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity18451
+.f64#fcancellation172832
sin.f64#fsensitivity15900
sqrt.f64#foflow-rescue13820
-.f64#fcancellation96512
-.f64#fnan-rescue6250
log.f64#fsensitivity5802
/.f64#fo/n4540
/.f64#fo/o3560
/.f64#fu/u3200
*.f64#fn*o2540
/.f64#fu/n1850
exp.f64#fsensitivity17717
sqrt.f64#fuflow-rescue1530
/.f64#fn/o1210
cbrt.f64#foflow-rescue880
*.f64#fn*u730
cbrt.f64#fuflow-rescue470
*.f64#fo*u460
/.f64#fn/u390
*.f64#fu*o300
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)))))sensitivity211
pow.f64#fuflow-rescue170
pow.f64#fsensitivity93
log.f64#foflow-rescue30
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue10
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow64
(exp.f64 b)underflow64
Confusion
Predicted +Predicted -
+574059
-13206193
Precision
0.8130311614730878
Recall
0.9898258320400068
Confusion?
Predicted +Predicted MaybePredicted -
+57403326
-1320326161
Precision?
0.8102456140350878
Recall?
0.9955164683566132
Freqs
test
numberfreq
06252
14698
21538
3336
4253
5139
667
719
86
93
101
Total Confusion?
Predicted +Predicted MaybePredicted -
+4300
-207
Precision?
0.9555555555555556
Recall?
1.0
Samples
3.1s7 670×1valid
2.4s16 568×0valid
1.7s2 066×2valid
539.0ms318×3valid
5.0ms4valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 6.1s
ival-sin: 987.0ms (16.2% of total)
ival-cos: 876.0ms (14.4% of total)
ival-mult!: 636.0ms (10.5% of total)
adjust: 585.0ms (9.6% of total)
ival-div!: 514.0ms (8.4% of total)
ival-pow2: 427.0ms (7% of total)
ival-sinu: 338.0ms (5.6% of total)
ival-cosu: 267.0ms (4.4% of total)
ival-exp: 257.0ms (4.2% of total)
ival-sqrt: 219.0ms (3.6% of total)
ival-log: 177.0ms (2.9% of total)
ival-sub!: 156.0ms (2.6% of total)
ival-add!: 148.0ms (2.4% of total)
ival-pow: 135.0ms (2.2% of total)
ival-tan: 96.0ms (1.6% of total)
ival-neg: 67.0ms (1.1% of total)
ival-atan2: 54.0ms (0.9% of total)
ival-cbrt: 39.0ms (0.6% of total)
ival-hypot: 35.0ms (0.6% of total)
ival-atan: 26.0ms (0.4% of total)
ival-acos: 21.0ms (0.3% of total)
ival-fabs: 12.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)

prune19.3s (4.7%)

Memory
-992.7MiB live, 32 373.9MiB allocated; 6.6s collecting garbage
Counts
98 866 → 5 979
Compiler

Compiled 986 650 to 372 982 computations (62.2% saved)

analyze16.0s (3.9%)

Memory
251.0MiB live, 18 601.5MiB allocated; 5.8s 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)

derivations15.3s (3.7%)

Memory
-158.3MiB live, 14 276.1MiB allocated; 1.7s collecting garbage
Stop Event
43×fuel
done
Compiler

Compiled 50 975 to 6 325 computations (87.6% saved)

bsearch9.6s (2.3%)

Memory
219.7MiB live, 12 362.9MiB allocated; 1.8s collecting garbage
Algorithm
293×binary-search
97×left-value
Stop Event
286×narrow-enough
predicate-same
Samples
4.4s6 944×1valid
2.0s14 179×0valid
431.0ms923×2valid
209.0ms66×3valid
90.0ms894×0invalid
Compiler

Compiled 243 522 to 136 904 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.2s
ival-cos: 1.5s (24.2% of total)
ival-sin: 1.5s (23.9% of total)
ival-mult!: 644.0ms (10.3% of total)
adjust: 479.0ms (7.7% of total)
ival-pow2: 400.0ms (6.4% of total)
ival-div!: 301.0ms (4.8% of total)
ival-sub!: 212.0ms (3.4% of total)
ival-cosu: 175.0ms (2.8% of total)
ival-atan2: 171.0ms (2.7% of total)
ival-sinu: 166.0ms (2.7% of total)
ival-sqrt: 164.0ms (2.6% of total)
ival-add!: 141.0ms (2.3% of total)
ival-acos: 84.0ms (1.3% of total)
ival-pow: 78.0ms (1.3% of total)
ival-neg: 68.0ms (1.1% of total)
ival-exp: 49.0ms (0.8% of total)
ival-tan: 28.0ms (0.4% of total)
ival-atan: 26.0ms (0.4% of total)
ival-log: 19.0ms (0.3% of total)
ival-hypot: 17.0ms (0.3% of total)
ival-asin: 6.0ms (0.1% of total)
ival-fabs: 5.0ms (0.1% of total)
ival-log1p: 3.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

preprocess8.3s (2%)

Memory
147.5MiB live, 10 403.1MiB allocated; 1.9s collecting garbage
Stop Event
46×node-limit
saturated
Compiler

Compiled 228 569 to 65 121 computations (71.5% saved)

start9.0ms (0%)

Memory
-41.6MiB live, 7.2MiB allocated; 2ms collecting garbage

end0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Profiling

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