Herbie run

Date:Saturday, May 3rd, 2025
Commit:1cbc6d8b on time-nightly
Seed:2025123
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:1 006 200.0 MB

Time bar (total: 13.9min)

sample4.7min (34.1%)

Memory
3 014.5MiB live, 340 986.3MiB allocated; 2.0min collecting garbage
Samples
2.8min2 145 201×0valid
18.8s69 097×1valid
8.3s64 452×0invalid
1.4s5 834×2valid
1.3s1 851×1invalid
712.0ms1 204×5exit
264.0ms731×3valid
259.0ms380×4exit
3.0ms29×1exit
0.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.7min
ival-mult!: 37.4s (36.9% of total)
ival-div!: 12.3s (12.1% of total)
ival-add!: 11.3s (11.2% of total)
ival-sub!: 10.1s (10% of total)
ival-log: 8.8s (8.7% of total)
ival-sqrt: 5.2s (5.1% of total)
ival-cos: 4.3s (4.3% of total)
ival-sin: 4.3s (4.3% of total)
adjust: 3.9s (3.9% of total)
ival-exp: 1.9s (1.9% of total)
ival-hypot: 374.0ms (0.4% of total)
ival-tan: 334.0ms (0.3% of total)
ival-cosh: 330.0ms (0.3% of total)
ival-sinh: 277.0ms (0.3% of total)
ival-fabs: 218.0ms (0.2% of total)
ival-acos: 183.0ms (0.2% of total)
ival-tanh: 105.0ms (0.1% of total)
Bogosity

rewrite3.1min (22%)

Memory
3 308.2MiB live, 202 488.5MiB allocated; 58.3s collecting garbage
Stop Event
2 201×iter-limit
844×node-limit
71×unsound
14×saturated
Counts
125 687 → 225 725

preprocess1.2min (8.8%)

Memory
-2 763.2MiB live, 70 657.0MiB allocated; 35.5s collecting garbage
Stop Event
237×node-limit
32×saturated
Compiler

Compiled 144 015 to 115 708 computations (19.7% saved)

derivations1.1min (8.2%)

Memory
-1 179.4MiB live, 64 809.4MiB allocated; 17.5s collecting garbage
Stop Event
151×fuel
118×done
Compiler

Compiled 30 774 to 18 676 computations (39.3% saved)

regimes1.1min (7.9%)

Memory
745.5MiB live, 101 654.0MiB allocated; 18.6s collecting garbage
Counts
33 902 → 5 008
Calls

512 calls:

8.9s
x
8.6s
y
6.6s
z
5.3s
t
3.1s
a
Compiler

Compiled 33 411 to 56 147 computations (-68% saved)

series55.5s (6.7%)

Memory
3 973.6MiB live, 79 387.6MiB allocated; 20.2s collecting garbage
Counts
18 640 → 107 047
Calls

8898 calls:

TimeVariablePointExpression
4.0s
y4
@0
((+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))) (* x (- (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1)))) (* j (- (* b y0) (* i y1))))) x (- (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1)))) (* j (- (* b y0) (* i y1)))) (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1)))) y (- (* a b) (* c i)) (* a b) a b (* c i) c i (* y2 (- (* c y0) (* a y1))) y2 (- (* c y0) (* a y1)) (* c y0) y0 (* a y1) y1 (* j (- (* b y0) (* i y1))) j (- (* b y0) (* i y1)) (* b y0) (* i y1) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))) (* -1 (* y3 (- (+ (* j (- (* y1 y4) (* y0 y5))) (* z (- (* c y0) (* a y1)))) (* y (- (* c y4) (* a y5)))))) (* a (* y3 (- (* y1 z) (* y y5)))) (* y3 (- (* y1 z) (* y y5))) y3 (- (* y1 z) (* y y5)) (* y1 z) z (* y y5) y5 (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))) (* b (- (+ (* a (- (* x y) (* t z))) (* y4 (- (* j t) (* k y)))) (* y0 (- (* j x) (* k z))))) (- (+ (* a (- (* x y) (* t z))) (* y4 (- (* j t) (* k y)))) (* y0 (- (* j x) (* k z)))) (* x (- (* a y) (* j y0))) (- (* a y) (* j y0)) (* a y) (* j y0) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))) (* k (- (+ (* -1 (* y (- (* b y4) (* i y5)))) (* y2 (- (* y1 y4) (* y0 y5)))) (* -1 (* z (- (* b y0) (* i y1)))))) k (- (+ (* -1 (* y (- (* b y4) (* i y5)))) (* y2 (- (* y1 y4) (* y0 y5)))) (* -1 (* z (- (* b y0) (* i y1))))) (* y2 (- (* y1 y4) (* y0 y5))) (- (* y1 y4) (* y0 y5)) (* y1 y4) y4 (* y0 y5) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))) (* b (- (+ (* a (- (* x y) (* t z))) (* y4 (- (* j t) (* k y)))) (* y0 (- (* j x) (* k z))))) (- (+ (* a (- (* x y) (* t z))) (* y4 (- (* j t) (* k y)))) (* y0 (- (* j x) (* k z)))) (* -1 (* z (- (* a t) (* k y0)))) -1 (* z (- (* a t) (* k y0))) (- (* a t) (* k y0)) (* a t) t (* k y0))
640.0ms
t
@inf
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (+ (* (log t) (- a 1/2)) (log y)) (log z)) t) (+ (+ (* (log t) (- a 1/2)) (log y)) (log z)) (+ (* (log t) (- a 1/2)) (log y)) (log t) t (- a 1/2) a 1/2 (log y) y (log z) z (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (+ (* (log t) (- a 1/2)) (neg (neg (log z)))) (log (+ y x))) t) (+ (+ (* (log t) (- a 1/2)) (neg (neg (log z)))) (log (+ y x))) (* a (log t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (log z)) t) (+ (log (* y z)) (* (log t) (- a 1/2))) (log (* y z)) (* y z) (* (log t) (- a 1/2)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (log z)) t) (+ (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (log z)) (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (- a 1/2) (neg (neg (log y))) (neg (log y)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (+ (/ (log (* z (+ y x))) t) (neg (* (neg (log t)) (/ (- a 1/2) t)))) 1) t) (- (+ (/ (log (* z (+ y x))) t) (neg (* (neg (log t)) (/ (- a 1/2) t)))) 1) (- (/ (+ (neg (neg (log x))) (log z)) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1)) (/ (+ (neg (neg (log x))) (log z)) t) (+ (neg (neg (log x))) (log z)) (neg (neg (log x))) (neg (log x)) (log x) x (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (- 1 (* -1/2 (/ (log t) t))) 1 (* -1/2 (/ (log t) t)) -1/2 (/ (log t) t))
210.0ms
x
@-inf
((+ (* (neg (log y)) x) (* (log x) x)) (neg (log y)) (log y) y x (* (log x) x) (log x) (* (neg x) (log (/ y x))) (neg x) (log (/ y x)) (/ y x) (+ (* (log x) x) (* (neg x) (log y))) (* (neg x) (log y)) (/ (* (* (log (* x y)) (log (/ x y))) x) (log (* x y))) (* (* (log (* x y)) (log (/ x y))) x) (* (log (* x y)) (log (/ x y))) (log (* x y)) (* x y) (log (/ x y)) (/ x y) (* x (/ (- (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x)))))) (* (log (* -1 y)) (log (neg x))))) (/ (- (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x)))))) (* (log (* -1 y)) (log (neg x)))) (- (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x)))))) (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (neg (log (neg y)))) (log (* -1 y)) (* -1 y) -1 (neg (log (neg y))) (log (neg y)) (neg y) (log (neg x)) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x))))) (* (log (neg x)) (neg (log (neg x)))) (neg (log (neg x))) (* (log (* -1 y)) (log (neg x))))
205.0ms
x
@0
((+ (* (neg (log y)) x) (* (log x) x)) (neg (log y)) (log y) y x (* (log x) x) (log x) (* (neg x) (log (/ y x))) (neg x) (log (/ y x)) (/ y x) (+ (* (log x) x) (* (neg x) (log y))) (* (neg x) (log y)) (/ (* (* (log (* x y)) (log (/ x y))) x) (log (* x y))) (* (* (log (* x y)) (log (/ x y))) x) (* (log (* x y)) (log (/ x y))) (log (* x y)) (* x y) (log (/ x y)) (/ x y) (* x (/ (- (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x)))))) (* (log (* -1 y)) (log (neg x))))) (/ (- (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x)))))) (* (log (* -1 y)) (log (neg x)))) (- (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x)))))) (* (* (log (* -1 y)) (neg (log (neg y)))) (log (neg x))) (* (log (* -1 y)) (neg (log (neg y)))) (log (* -1 y)) (* -1 y) -1 (neg (log (neg y))) (log (neg y)) (neg y) (log (neg x)) (* (log (* -1 y)) (* (log (neg x)) (neg (log (neg x))))) (* (log (neg x)) (neg (log (neg x)))) (neg (log (neg x))) (* (log (* -1 y)) (log (neg x))))
190.0ms
z
@0
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (+ (* (log t) (- a 1/2)) (neg (neg (log z)))) (log (+ y x))) t) (+ (+ (* (log t) (- a 1/2)) (neg (neg (log z)))) (log (+ y x))) (+ (* (log t) (- a 1/2)) (neg (neg (log z)))) (log t) t (- a 1/2) a 1/2 (neg (neg (log z))) (neg (log z)) (log z) z (log (+ y x)) (+ y x) y x (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (log t) a) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* -1/2 (log t)) (log (* (+ y x) z))) t) (+ (* -1/2 (log t)) (log (* (+ y x) z))) -1/2 (log (* (+ y x) z)) (* (+ y x) z) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (log z)) t) (+ (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (log z)) (+ (* (log t) (- a 1/2)) (neg (neg (log y)))) (neg (neg (log y))) (neg (log y)) (log y) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (+ (/ (log (* z (+ y x))) t) (neg (* (neg (log t)) (/ (- a 1/2) t)))) 1) t) (- (+ (/ (log (* z (+ y x))) t) (neg (* (neg (log t)) (/ (- a 1/2) t)))) 1) (- (/ (+ (neg (neg (log x))) (log z)) t) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1)) (/ (+ (neg (neg (log x))) (log z)) t) (+ (neg (neg (log x))) (log z)) (neg (neg (log x))) (neg (log x)) (log x) (+ (* (neg (log t)) (/ (- a 1/2) t)) 1) (neg (log t)) (/ (- a 1/2) t) 1)

eval39.2s (4.7%)

Memory
-329.7MiB live, 54 168.9MiB allocated; 17.3s collecting garbage
Compiler

Compiled 3 044 188 to 966 739 computations (68.2% saved)

bsearch26.1s (3.1%)

Memory
131.9MiB live, 37 185.2MiB allocated; 7.6s collecting garbage
Algorithm
1 787×binary-search
1 151×left-value
Stop Event
1 762×narrow-enough
25×predicate-same
Samples
12.7s143 781×0valid
909.0ms3 888×1valid
163.0ms2 668×0invalid
23.0ms178×2valid
6.0ms34×1invalid
2.0ms3valid
Compiler

Compiled 647 920 to 656 650 computations (-1.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.3s
ival-mult!: 3.5s (48.2% of total)
ival-sub!: 1.1s (15.5% of total)
ival-add!: 739.0ms (10.2% of total)
ival-div!: 548.0ms (7.5% of total)
ival-log: 509.0ms (7% of total)
ival-sin: 225.0ms (3.1% of total)
adjust: 205.0ms (2.8% of total)
ival-cos: 186.0ms (2.6% of total)
ival-exp: 113.0ms (1.6% of total)
ival-sqrt: 88.0ms (1.2% of total)
ival-fabs: 12.0ms (0.2% of total)
ival-tanh: 9.0ms (0.1% of total)
ival-cosh: 5.0ms (0.1% of total)

prune19.4s (2.3%)

Memory
-475.5MiB live, 31 601.2MiB allocated; 6.5s collecting garbage
Counts
212 520 → 12 951
Compiler

Compiled 511 462 to 440 774 computations (13.8% saved)

analyze17.4s (2.1%)

Memory
-21.7MiB live, 23 234.9MiB allocated; 6.0s collecting garbage
Algorithm
269×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
46.8%46.8%53.1%0.1%0%0%0%1
50.5%50.1%49.2%0.1%0%0.6%0%2
58.6%57%40.3%0.1%0%2.6%0%3
65.2%62.7%33.5%0.1%0%3.6%0%4
71.2%68.2%27.5%0.1%0%4.1%0%5
75.9%72.3%23%0.1%0%4.6%0%6
79.8%75.6%19.1%0.1%0%5.1%0%7
81.7%77%17.3%0.1%0%5.6%0%8
84.3%79.3%14.7%0.1%0%5.9%0%9
85.9%80.5%13.2%0.1%0%6.2%0%10
88.5%82.8%10.8%0.1%0%6.2%0%11
89.6%83.6%9.8%0.1%0%6.5%0%12
Compiler

Compiled 3 462 to 2 977 computations (14% saved)

end16.0ms (0%)

Memory
-41.7MiB live, 5.2MiB allocated; 2ms collecting garbage

start9.0ms (0%)

Memory
22.1MiB live, 21.8MiB allocated; 0ms collecting garbage

Profiling

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