Herbie run

Date:Wednesday, April 30th, 2025
Commit:77680327 on prove-soundness
Seed:2025120
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:2 745 263.4 MB

Time bar (total: 41.6min)

sample16.9min (40.6%)

Memory
16 201.3MiB live, 1 036 889.5MiB allocated; 6.3min collecting garbage
Samples
5.5min3 921 644×0valid
2.0min18 902×3exit
2.0min448 577×1valid
1.1min141 606×2valid
37.9s324 271×0invalid
37.4s39 658×5exit
19.6s4 488×4exit
13.9s15 287×3valid
7.5s29 157×1invalid
6.9s49 737×0exit
837.0ms6 589×1exit
617.0ms1 523×2invalid
139.0ms51×4valid
Precisions
Click to see histograms. Total time spent on operations: 9.6min
ival-mult!: 1.8min (19% of total)
adjust: 55.7s (9.7% of total)
ival-div!: 43.0s (7.5% of total)
ival-exp: 41.8s (7.3% of total)
ival-pow: 41.5s (7.2% of total)
ival-log: 40.7s (7.1% of total)
ival-pow2: 32.8s (5.7% of total)
ival-sub!: 29.2s (5.1% of total)
ival-cos: 28.8s (5% of total)
ival-add!: 28.8s (5% of total)
ival-sin: 25.7s (4.5% of total)
ival-sqrt: 21.2s (3.7% of total)
ival-tan: 17.2s (3% of total)
ival-neg: 9.6s (1.7% of total)
ival-sinu: 6.6s (1.1% of total)
ival-cosu: 6.4s (1.1% of total)
ival-hypot: 4.3s (0.7% of total)
ival-fmax: 4.2s (0.7% of total)
ival-fabs: 3.8s (0.7% of total)
ival-fmin: 3.2s (0.6% of total)
ival-expm1: 2.6s (0.4% of total)
ival-asin: 2.3s (0.4% of total)
ival-acos: 1.9s (0.3% of total)
ival-log1p: 1.8s (0.3% of total)
ival-atan2: 1.7s (0.3% of total)
ival-fmod: 1.6s (0.3% of total)
ival-sinh: 1.4s (0.3% of total)
ival-atan: 1.1s (0.2% of total)
ival-<=: 1.1s (0.2% of total)
ival-and: 869.0ms (0.2% of total)
ival-floor: 828.0ms (0.1% of total)
ival-<: 710.0ms (0.1% of total)
ival-cbrt: 618.0ms (0.1% of total)
ival-acosh: 480.0ms (0.1% of total)
ival-asinh: 302.0ms (0.1% of total)
ival-if: 236.0ms (0% of total)
ival-cosh: 228.0ms (0% of total)
ival-log2: 199.0ms (0% of total)
ival-tanu: 189.0ms (0% of total)
ival-atanh: 128.0ms (0% of total)
ival-assert: 111.0ms (0% of total)
ival->=: 109.0ms (0% of total)
ival-tanh: 93.0ms (0% of total)
ival->: 56.0ms (0% of total)
ival-or: 14.0ms (0% of total)
const: 4.0ms (0% of total)
ival-==: 3.0ms (0% of total)
ival-pi: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

rewrite6.7min (16%)

Memory
11 949.9MiB live, 424 567.8MiB allocated; 1.9min collecting garbage
Stop Event
4 653×iter-limit
1 803×node-limit
119×unsound
38×saturated
Counts
311 790 → 563 905

series5.3min (12.7%)

Memory
11 691.5MiB live, 397 926.6MiB allocated; 2.1min collecting garbage
Counts
49 653 → 262 137
Calls

16281 calls:

TimeVariablePointExpression
7.9s
x
@0
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(+ 31853699/125000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -8890523/31250000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000))))))))) (exp (neg (* x x)))) 3) 3) (pow (* (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 31853699/125000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -8890523/31250000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 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1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000)))))))) 31853699/125000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -8890523/31250000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000))))))) (+ -8890523/31250000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000)))))) -8890523/31250000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000))))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000)))) 1421413741/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000))) (+ -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000)) -1453152027/1000000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) 1061405429/1000000000) 1061405429/1000000000 (exp (neg (* x x))) (neg (* x x)) 3 (+ 1 (+ (* (pow (* (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 31853699/125000000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ -8890523/31250000 (* (* (/ 1 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ 1421413741/1000000000 (* (* (/ 1 (- 1 (* 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4.9s
x
@-inf
((- 1 (log (- 1 (/ (- x y) (- 1 y))))) 1 (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (* (neg x) (+ (neg (/ (- 1 (/ (neg y) (- 1 y))) x)) (/ 1 (- 1 y)))) (+ (neg (- (/ (neg y) (- 1 y)) 1)) (/ (neg x) (- 1 y))) (neg (- (/ (neg y) (- 1 y)) 1)) (- (/ (neg y) (- 1 y)) 1) (/ (neg y) (- 1 y)) (neg y) y (- 1 y) (/ (neg x) (- 1 y)) (neg x) x (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- (+ (/ x (* (+ (/ y (- 1 y)) 1) (- 1 y))) 1) (log (+ (/ y (- 1 y)) 1))) (+ x 1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (neg (/ (- 1 x) y)) (/ x y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (neg (/ (- 1 x) y)) (/ (- x 1) y) (- x 1))
4.3s
ew
@0
((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)))) eh (/ (* (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 (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) ew (tan t) t (sin 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)) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2) 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))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) 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))))) (* (cos 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))))) (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* ew (cos t)) (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 (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh t) (tanh (asinh (neg (* (/ eh ew) (tan t)))))) (* eh 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) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) (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)) (/ (tan t) ew) 3 (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (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 (* (* (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)))))))
1.9s
b
@-inf
((* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b))))) x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b)))) (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b))) (+ (* (neg a) b) (+ (* (+ (* (* a z) -1/2) (neg a)) z) (* (- (log z) t) y))) (* (neg a) (+ (* (+ (* 1/2 z) 1) z) b)) (neg a) a (+ (* (+ (* 1/2 z) 1) z) b) (+ (* 1/2 z) 1) 1/2 z 1 b (* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b))))) (* (exp (* (- (log (- 1 z)) b) a)) x) (* (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b)))) x) (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b)))) (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b))) (* (neg a) b) (* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b))))) (* (exp (* (- (log z) t) y)) x) (exp (* (- (log z) t) y)) (pow z y) y (* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1 z)) b))))) (* (exp (* (- (log (- 1 z)) b) a)) x) (exp (* (- (log (- 1 z)) b) a)) (* (- (log (- 1 z)) b) a) (- (log (- 1 z)) b) (log (- 1 z)) (neg z))
1.2s
t
@-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))) (exp (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p))) (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p)) (* (neg (log (+ (exp (neg s)) 1))) c_p) (neg (log (+ (exp (neg s)) 1))) (- (* 1/2 s) (log 2)) (* 1/2 s) 1/2 s (log 2) 2 c_p (* (neg (log (+ (exp (neg t)) 1))) c_p) (neg (log (+ (exp (neg t)) 1))) (log (+ (exp (neg t)) 1)) (+ (exp (neg t)) 1) (exp (neg t)) (neg t) 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))) (exp (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p))) (/ (* (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 (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p))) (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p)) (* (neg (log (+ (exp (neg s)) 1))) c_p) (neg (log (+ (exp (neg s)) 1))) (log 1/2) (/ (* (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 (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p))) (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p)) (* (neg (log (+ (exp (neg s)) 1))) c_p) (neg (log (+ (exp (neg s)) 1))) (log (+ (exp (neg s)) 1)) (+ (exp (neg s)) 1) (exp (neg s)) (neg s) (* (neg (log (+ (exp (neg t)) 1))) c_p) (neg (log (+ (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))) (exp (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p))) (+ 1 (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (neg (log (+ 1 (exp (neg t))))) (log (+ 1 (exp (neg t)))) (+ 1 (exp (neg t))))

regimes3.0min (7.1%)

Memory
2 042.5MiB live, 225 470.1MiB allocated; 1.0min collecting garbage
Counts
92 431 → 9 125
Calls

1 233 calls:

13.5s
x
10.2s
z
9.1s
y
5.5s
t
5.0s
a
Compiler

Compiled 101 495 to 121 925 computations (-20.1% saved)

derivations2.4min (5.7%)

Memory
-439.6MiB live, 122 880.3MiB allocated; 34.5s collecting garbage
Stop Event
352×fuel
195×done
Compiler

Compiled 82 289 to 43 090 computations (47.6% saved)

preprocess1.9min (4.6%)

Memory
-5 456.4MiB live, 129 321.0MiB allocated; 35.3s collecting garbage
Stop Event
499×node-limit
49×saturated
1×iter-limit
Compiler

Compiled 569 882 to 382 038 computations (33% saved)

eval1.9min (4.6%)

Memory
-1 287.0MiB live, 150 961.5MiB allocated; 49.0s collecting garbage
Compiler

Compiled 14 142 448 to 2 904 264 computations (79.5% saved)

analyze1.5min (3.7%)

Memory
-276.1MiB live, 96 513.4MiB allocated; 46.9s collecting garbage
Algorithm
552×search
2×random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%84.6%15.4%0%0%0%0
39.7%33.6%51.1%15.4%0%0%0%1
45.6%38.2%45.6%15.4%0%0.8%0%2
54.1%44.3%37.6%15.4%0%2.8%0%3
60.9%49.3%31.6%15.4%0%3.7%0%4
67.2%54.1%26.4%15.4%0%4.2%0%5
71.2%57%23.1%15.4%0%4.6%0%6
75.1%59.7%19.8%15.4%0%5.2%0%7
77.1%61%18.1%15.4%0%5.6%0%8
79.8%62.8%15.9%15.4%0%5.9%0%9
81.3%63.8%14.6%15.4%0%6.2%0%10
83.6%65.4%12.9%15.4%0%6.3%0%11
84.7%66.1%11.9%15.4%0%6.6%0%12
Compiler

Compiled 30 225 to 8 606 computations (71.5% saved)

prune1.2min (2.9%)

Memory
-3 914.0MiB live, 92 106.5MiB allocated; 30.3s collecting garbage
Counts
546 236 → 33 809
Compiler

Compiled 2 077 233 to 1 476 910 computations (28.9% saved)

bsearch53.4s (2.1%)

Memory
1 061.8MiB live, 68 518.3MiB allocated; 13.4s collecting garbage
Algorithm
3 035×binary-search
1 779×left-value
Stop Event
2 973×narrow-enough
56×predicate-same
6×predicate-failed
Samples
19.2s203 960×0valid
8.6s19 140×1valid
2.5s1 630×5exit
1.1s2 274×2valid
752.0ms9 330×0invalid
222.0ms189×3valid
57.0ms294×1invalid
2.0ms26×0exit
1.0ms5×4valid
Compiler

Compiled 1 263 683 to 1 165 122 computations (7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.5s
ival-mult!: 5.5s (24.6% of total)
ival-cos: 2.4s (10.7% of total)
ival-sin: 2.4s (10.7% of total)
adjust: 1.8s (7.8% of total)
ival-pow: 1.6s (7.1% of total)
ival-sub!: 1.5s (6.8% of total)
ival-div!: 1.5s (6.5% of total)
ival-add!: 1.4s (6.2% of total)
ival-exp: 855.0ms (3.8% of total)
ival-pow2: 703.0ms (3.1% of total)
ival-log: 608.0ms (2.7% of total)
ival-sqrt: 470.0ms (2.1% of total)
ival-cosu: 275.0ms (1.2% of total)
ival-tan: 275.0ms (1.2% of total)
ival-atan2: 269.0ms (1.2% of total)
ival-hypot: 206.0ms (0.9% of total)
ival-sinu: 202.0ms (0.9% of total)
ival-neg: 181.0ms (0.8% of total)
ival-fmod: 71.0ms (0.3% of total)
ival-acos: 64.0ms (0.3% of total)
ival-asin: 44.0ms (0.2% of total)
ival-fmax: 39.0ms (0.2% of total)
ival-fabs: 34.0ms (0.2% of total)
ival-log1p: 34.0ms (0.2% of total)
ival-atan: 26.0ms (0.1% of total)
ival-if: 19.0ms (0.1% of total)
ival->=: 14.0ms (0.1% of total)
ival-tanh: 13.0ms (0.1% of total)
ival-fmin: 10.0ms (0% of total)
ival-tanu: 9.0ms (0% of total)
ival-cbrt: 7.0ms (0% of total)
ival-cosh: 7.0ms (0% of total)
ival-expm1: 4.0ms (0% of total)
ival-copysign: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start104.0ms (0%)

Memory
28.1MiB live, 99.2MiB allocated; 125ms collecting garbage

end4.0ms (0%)

Memory
9.6MiB live, 9.2MiB allocated; 0ms collecting garbage
Calls

1 calls:

TimeVariablePointExpression
2.4min
u1
@0
((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 1))) (/ 1 (+ (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 1)) 1 (+ (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 1) (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0)) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2)) (+ (PI) (PI)) (PI) u1 (* (PI) 1/2) 1/2 (/ alphay alphax) alphay alphax 2 (* alphay alphay) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax) (- 1 u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (+ (* (/ (+ 1 u0) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 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(/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax))))) (* alphay alphay)) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) (* alphay alphay)) 1) (* -1/2 (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) -3/4) (neg (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax))))) (* alphay alphay)) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) -1/2 (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 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(PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) 4 (* (- 1 u0) (- 1 u0)) -3/4 (neg (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax))) (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)))

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