Herbie run

Date:Wednesday, May 7th, 2025
Commit:efe40450 on artem-rules-updates
Seed:2025127
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:454 970.8 MB

Time bar (total: 6.7min)

sample2.9min (43.7%)

Memory
3 010.4MiB live, 189 217.5MiB allocated; 1.1min collecting garbage
Samples
46.1s119 062×1valid
35.7s281 565×0valid
20.3s3 978×4exit
16.5s25 332×2valid
8.8s11 418×5exit
8.3s3 339×3valid
5.0s35 156×0exit
3.1s12 073×1invalid
2.4s19 889×0invalid
464.0ms2 774×1exit
379.0ms875×2invalid
52.0ms14×4valid
7.0ms2exit
Precisions
Click to see histograms. Total time spent on operations: 2.1min
ival-pow: 22.7s (18.1% of total)
ival-mult!: 14.5s (11.6% of total)
adjust: 13.5s (10.8% of total)
ival-cos: 11.2s (8.9% of total)
ival-div!: 10.0s (7.9% of total)
ival-sin: 8.3s (6.6% of total)
ival-pow2: 7.7s (6.1% of total)
ival-sinu: 5.7s (4.5% of total)
ival-exp: 5.6s (4.5% of total)
ival-cosu: 5.0s (4% of total)
ival-add!: 4.1s (3.3% of total)
ival-sqrt: 3.9s (3.1% of total)
ival-log: 3.9s (3.1% of total)
ival-sub!: 3.1s (2.5% of total)
ival-neg: 2.5s (2% of total)
ival-atan2: 837.0ms (0.7% of total)
ival-tan: 779.0ms (0.6% of total)
ival-hypot: 689.0ms (0.5% of total)
ival-acos: 352.0ms (0.3% of total)
ival-cbrt: 341.0ms (0.3% of total)
ival-atan: 314.0ms (0.2% of total)
ival-fabs: 157.0ms (0.1% of total)
ival-asin: 157.0ms (0.1% of total)
ival-log1p: 106.0ms (0.1% of total)
ival-<: 68.0ms (0.1% of total)
ival-and: 48.0ms (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

rewrite60.0s (14.8%)

Memory
646.2MiB live, 61 859.8MiB allocated; 23.6s collecting garbage
Stop Event
444×iter-limit
184×node-limit
10×unsound
saturated
Counts
52 314 → 85 286

series38.4s (9.5%)

Memory
1 439.6MiB live, 49 102.6MiB allocated; 11.4s collecting garbage
Counts
7 285 → 45 029
Calls

1614 calls:

TimeVariablePointExpression
4.0s
ew
@0
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (tan t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (cos t) ew) (cos 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) 2 (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))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2) (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))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (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 (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (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))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)) (fabs (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) 3 (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))
1.5s
ew
@0
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* ew (cos t)) (cos t) (sqrt (* (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))))) (* (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (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)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* -1 (/ (* eh (* t t)) (* ew ew))) (/ (* eh (* t t)) (* ew ew)) (* eh (* t t)) (* t t) (* ew ew) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos 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))) (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ 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 (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew) (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (* 2 (asinh (neg (* (/ eh ew) (tan t))))) 2 (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)
523.0ms
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 (+ (exp (neg s)) 1) (* -1 c_p)) (pow (+ (exp (neg t)) 1) (* -1 c_p))) (pow (+ (exp (neg s)) 1) (* -1 c_p)) (+ (exp (neg s)) 1) (exp (neg s)) (neg s) s 1 (* -1 c_p) -1 c_p (pow (+ (exp (neg t)) 1) (* -1 c_p)) (+ (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))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ 1 (+ (exp (neg s)) 1)) c_n (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ 1 (+ (exp (neg t)) 1)) (/ (* (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)) (/ 1 (/ (* (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n) (pow (+ (exp (neg t)) 1) (* -1 c_p))) (* (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (+ (exp (neg s)) 1) (* -1 c_p))))) (/ (* (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n) (pow (+ (exp (neg t)) 1) (* -1 c_p))) (* (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (+ (exp (neg s)) 1) (* -1 c_p)))) (* (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n) (pow (+ (exp (neg t)) 1) (* -1 c_p))) (* (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (+ (exp (neg s)) 1) (* -1 c_p))))
290.0ms
eh
@inf
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (tan t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (cos t) ew) (cos 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) 2 (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))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2) (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))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (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 (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (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))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)) (fabs (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) 3 (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))
265.0ms
eh
@-inf
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* ew (cos t)) (cos t) (sqrt (* (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))))) (* (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (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)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* -1 (/ (* eh (* t t)) (* ew ew))) (/ (* eh (* t t)) (* ew ew)) (* eh (* t t)) (* t t) (* ew ew) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos 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))) (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ 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 (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) (/ (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) ew) (* (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (sin t)) (/ (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)) (- (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (* 2 (asinh (neg (* (/ eh ew) (tan t))))) 2 (+ (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1) (exp (* 2 (asinh (neg (* (/ eh ew) (tan t)))))) 1)

regimes30.1s (7.4%)

Memory
83.2MiB live, 34 942.4MiB allocated; 8.5s collecting garbage
Counts
17 237 → 868
Calls

155 calls:

2.9s
lambda1
2.0s
phi1
1.9s
phi2
1.5s
b
1.5s
lambda2
Compiler

Compiled 15 743 to 14 751 computations (6.3% saved)

eval29.5s (7.3%)

Memory
-259.0MiB live, 37 330.6MiB allocated; 14.2s collecting garbage
Compiler

Compiled 5 327 796 to 540 736 computations (89.9% saved)

prune18.1s (4.5%)

Memory
-433.4MiB live, 26 935.5MiB allocated; 5.0s collecting garbage
Counts
84 714 → 6 247
Compiler

Compiled 628 139 to 391 789 computations (37.6% saved)

analyze16.2s (4%)

Memory
-36.6MiB live, 17 555.0MiB allocated; 5.9s 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)

derivations16.1s (4%)

Memory
61.7MiB live, 14 456.4MiB allocated; 3.5s collecting garbage
Stop Event
40×fuel
12×done
Compiler

Compiled 11 545 to 5 786 computations (49.9% saved)

preprocess11.5s (2.8%)

Memory
-332.1MiB live, 14 382.9MiB allocated; 3.0s collecting garbage
Stop Event
52×node-limit
Compiler

Compiled 131 937 to 72 926 computations (44.7% saved)

bsearch7.7s (1.9%)

Memory
334.6MiB live, 9 181.2MiB allocated; 1.4s collecting garbage
Algorithm
262×binary-search
132×left-value
Stop Event
257×narrow-enough
predicate-same
Samples
3.4s5 436×1valid
1.7s11 771×0valid
473.0ms798×2valid
180.0ms107×3valid
105.0ms910×0invalid
1.0ms14×0exit
Compiler

Compiled 159 194 to 119 194 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.1s
ival-sin: 1.2s (24.1% of total)
ival-cos: 1.2s (23.8% of total)
ival-mult!: 604.0ms (11.9% of total)
adjust: 371.0ms (7.3% of total)
ival-pow2: 338.0ms (6.7% of total)
ival-div!: 205.0ms (4% of total)
ival-cosu: 195.0ms (3.8% of total)
ival-sinu: 187.0ms (3.7% of total)
ival-sqrt: 138.0ms (2.7% of total)
ival-add!: 130.0ms (2.6% of total)
ival-sub!: 117.0ms (2.3% of total)
ival-atan2: 117.0ms (2.3% of total)
ival-neg: 57.0ms (1.1% of total)
ival-acos: 45.0ms (0.9% of total)
ival-exp: 41.0ms (0.8% of total)
ival-atan: 35.0ms (0.7% of total)
ival-log: 25.0ms (0.5% of total)
ival-hypot: 16.0ms (0.3% of total)
ival-tan: 11.0ms (0.2% of total)
ival-asin: 9.0ms (0.2% of total)
ival-fabs: 3.0ms (0.1% of total)
ival-log1p: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated; 0ms collecting garbage

Profiling

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