Herbie run

Date:Sunday, January 26th, 2025
Commit:9eb1a33e on no-localize
Seed:2025026
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:1 353 884.2 MB

Time bar (total: 17.2min)

sample6.1min (35.6%)

Memory
4 968.9MiB live, 493 979.9MiB allocated; 2.3min collecting garbage
Samples
3.5min2 144 861×0valid
26.2s69 618×1valid
9.8s63 839×0invalid
1.9s5 739×2valid
1.6s1 642×5exit
446.0ms1 859×1invalid
231.0ms645×3valid
0.0ms1×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.6min
ival-mult: 55.3s (35.3% of total)
ival-sub: 20.9s (13.4% of total)
ival-add: 20.7s (13.2% of total)
ival-div: 18.3s (11.7% of total)
ival-log: 9.3s (5.9% of total)
adjust: 7.2s (4.6% of total)
const: 6.3s (4.1% of total)
ival-sqrt: 5.2s (3.3% of total)
ival-sin: 4.0s (2.5% of total)
ival-cos: 3.1s (2% of total)
ival-exp: 2.4s (1.5% of total)
exact: 1.3s (0.8% of total)
ival-assert: 738.0ms (0.5% of total)
ival-cosh: 374.0ms (0.2% of total)
ival-fabs: 305.0ms (0.2% of total)
ival-tan: 277.0ms (0.2% of total)
ival-sinh: 241.0ms (0.2% of total)
ival-acos: 200.0ms (0.1% of total)
ival-hypot: 200.0ms (0.1% of total)
ival-tanh: 82.0ms (0.1% of total)
Bogosity

rewrite3.3min (19.1%)

Memory
2 275.8MiB live, 233 381.3MiB allocated; 1.1min collecting garbage
Stop Event
2 225×iter limit
848×node limit
70×unsound
12×saturated
Counts
129 151 → 230 362

preprocess1.3min (7.5%)

Memory
2 003.5MiB live, 81 854.0MiB allocated; 31.2s collecting garbage
Stop Event
538×iter limit
341×node limit
197×saturated
Compiler

Compiled 314 938 to 60 992 computations (80.6% saved)

derivations1.2min (6.9%)

Memory
-745.6MiB live, 68 312.7MiB allocated; 21.7s collecting garbage
Stop Event
142×fuel
127×done
Compiler

Compiled 139 393 to 18 881 computations (86.5% saved)

regimes1.1min (6.5%)

Memory
-163.2MiB live, 105 317.3MiB allocated; 19.8s collecting garbage
Counts
33 554 → 4 920
Calls

512 calls:

10.2s
x
8.6s
y
6.9s
z
4.4s
t
3.0s
a
Compiler

Compiled 37 748 to 56 585 computations (-49.9% saved)

series54.7s (5.3%)

Memory
345.0MiB live, 87 610.4MiB allocated; 16.3s collecting garbage
Counts
18 868 → 110 283
Calls

8871 calls:

TimeVariablePointExpression
239.0ms
x
@0
((* (/ (pow (neg (log (/ y x))) 3) (log (/ y x))) (/ x (log (/ y x)))) (/ (pow (neg (log (/ y x))) 3) (log (/ y x))) (pow (neg (log (/ y x))) 3) (neg (log (/ y x))) (log (/ y x)) (/ y x) y x 3 (/ x (log (/ y x))) (log (pow (/ x y) x)) (pow (/ x y) x) 1 (+ (* (* (neg x) (log (neg x))) -1) (* (neg (neg (log (/ -1 y)))) x)) (* (neg x) (log (neg x))) (neg x) (log (neg x)) -1 (* (neg (neg (log (/ -1 y)))) x) (neg (neg (log (/ -1 y)))) (neg (log (/ -1 y))) (log (/ -1 y)) (/ -1 y) (/ (* x (* (pow (log (/ y x)) 2) (neg (log (/ y x))))) (- (pow (log (/ y x)) 2) 0)) (* x (* (pow (log (/ y x)) 2) (neg (log (/ y x))))) (* (pow (log (/ y x)) 2) (neg (log (/ y x)))) (pow (log (/ y x)) 2) 2 (- (pow (log (/ y x)) 2) 0) 0 (/ (* (- (pow (log x) 3) (pow (log y) 3)) x) (+ (* (neg (log y)) (neg (log (* y x)))) (pow (log x) 2))) (* (- (pow (log x) 3) (pow (log y) 3)) x) (- (pow (log x) 3) (pow (log y) 3)) (pow (log x) 3) (log x) (pow (log y) 3) (log y) (+ (* (neg (log y)) (neg (log (* y x)))) (pow (log x) 2)) (neg (log y)) (neg (log (* y x))) (log (* y x)) (* y x) (pow (log x) 2))
175.0ms
t
@0
((+ (- (+ (+ x y) z) (* z (log t))) (* (- a 1/2) b)) (- (+ (+ x y) z) (* z (log t))) (+ (+ x y) z) (+ x y) x y z (* z (log t)) (log t) t (* (- a 1/2) b) (- a 1/2) a 1/2 b)
172.0ms
y
@inf
((- (* x (- 0 (log (/ y x)))) z) (* x (- 0 (log (/ y x)))) x (- 0 (log (/ y x))) 0 (log (/ y x)) (/ y x) y z (- (* x (log (/ x y))) z) (* (- (log (/ x y)) (/ z x)) x) (- (log (/ x y)) (/ z x)) (log (/ x y)) (/ x y) (/ z x) (- (* x (log (/ x y))) z) (* (+ (* (log (/ x y)) (* (/ x -1) (/ -1 z))) -1) z) (+ (* (log (/ x y)) (* (/ x -1) (/ -1 z))) -1) (* (/ x -1) (/ -1 z)) (/ x -1) -1 (/ -1 z) (+ (* (- (log (neg x)) (log (neg y))) x) (neg z)) (- (log (neg x)) (log (neg y))) (log (neg x)) (neg x) (log (neg y)) (neg y) (neg z) (- (* x (log (/ x y))) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (+ (* (* x z) (/ (+ (* (log y) -1) (log x)) z)) (neg z)) (* x z) (/ (+ (* (log y) -1) (log x)) z) (+ (* (log y) -1) (log x)) (log y) (log x))
164.0ms
x
@-inf
((* (* x 1) (log (- 1 (/ y x)))) (* (- (* (- (* (/ y (* x x)) -1/3) (/ 1/2 x)) y) 1) y) (- (* (- (* (/ y (* x x)) -1/3) (/ 1/2 x)) y) 1) (* (- (* (/ y (* x x)) -1/3) (/ 1/2 x)) y) (- (* (/ y (* x x)) -1/3) (/ 1/2 x)) (/ (- (* -1/3 (/ y x)) 1/2) x) (- (* -1/3 (/ y x)) 1/2) (* -1/3 (/ y x)) -1/3 (/ y x) y x 1/2 1 (* (log (+ 1 (/ (neg y) x))) x) (log (+ 1 (/ (neg y) x))) (/ (neg y) x) (neg y) (* (log (- 1 (/ y x))) x) (log (- 1 (/ y x))) (- 1 (/ y x)) (* (* x 1) (log (- 1 (/ y x)))) (* (- (+ (* (log (/ -1 y)) -3) (* (log x) -3)) (+ (* (log (/ -1 y)) -2) (* -2 (log x)))) x) (- (+ (* (log (/ -1 y)) -3) (* (log x) -3)) (+ (* (log (/ -1 y)) -2) (* -2 (log x)))) (+ (* (log (/ -1 y)) -3) (* (log x) -3)) (log (/ -1 y)) (/ -1 y) -1 -3 (* (log x) -3) (log x) (+ (* (log (/ -1 y)) -2) (* -2 (log x))) -2 (* -2 (log x)) (* (* x 1) (log (- 1 (/ y x)))) (* (/ (- (pow (log (neg y)) 3) (pow (log x) 3)) (+ (pow (log (neg y)) 2) (+ (* (log x) (log x)) (* (log (neg y)) (log x))))) x) (/ (* (- (pow (log (neg y)) 3) (neg (pow (neg (log x)) 3))) x) (+ (+ (* (log (/ -1 y)) (neg (log x))) (pow (log (neg y)) 2)) (pow (log x) 2))) (* (- (pow (log (neg y)) 3) (neg (pow (neg (log x)) 3))) x) (- (pow (log (neg y)) 3) (neg (pow (neg (log x)) 3))) (pow (log (neg y)) 3) (log (neg y)) 3 (neg (pow (neg (log x)) 3)) (pow (neg (log x)) 3) (neg (log x)) (+ (+ (* (log (/ -1 y)) (neg (log x))) (pow (log (neg y)) 2)) (pow (log x) 2)) (+ (* (log (/ -1 y)) (neg (log x))) (pow (log (neg y)) 2)) (pow (log (neg y)) 2) 2 (pow (log x) 2))
153.0ms
y
@-inf
((* x (/ (- y z) (- t z))) x (/ (- y z) (- t z)) (* (neg y) (- (/ z (* (- t z) y)) (pow (- t z) -1))) (neg y) y (- (/ z (* (- t z) y)) (pow (- t z) -1)) (/ z (* (- t z) y)) z (* (- t z) y) (- t z) t (pow (- t z) -1) -1 (* x (/ (- y z) (- t z))) (/ (- y z) (- t z)) (/ y t) (/ (* x (- y z)) (- t z)) (* x (- y z)) (- y z) (- t z) (/ (* x (- y z)) (- t z)) (* x (- y z)) (- y z) (neg z) (/ (* x (- y z)) (- t z)) (* x (- y z)) (- y z) (- t z) (* (- (/ t z) 1) z) (- (/ t z) 1) (/ t z) 1)

eval49.4s (4.8%)

Memory
-28.1MiB live, 74 711.0MiB allocated; 20.6s collecting garbage
Compiler

Compiled 9 926 511 to 1 037 079 computations (89.6% saved)

explain43.6s (4.2%)

Memory
56.1MiB live, 65 572.0MiB allocated; 13.7s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64#fsensitivity15298
/.f64#fo/n11810
sqrt.f64#foflow-rescue7750
-.f64#fcancellation5917
/.f64#fo/o5490
*.f64#fn*o5100
+.f64#fnan-rescue4610
-.f64#fnan-rescue4430
cos.f64#fsensitivity3602
+.f64#fcancellation3243
/.f64#fn/o3150
/.f64#fu/n2480
sin.f64#fsensitivity2050
*.f64#fn*u1950
cos.f64#foflow-rescue1420
/.f64#fn/u1190
log.f64#foflow-rescue1030
/.f64#fu/u1020
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity790
log.f64#fuflow-rescue760
sqrt.f64#fuflow-rescue430
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue340
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow34
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue340
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow34
exp.f64#fsensitivity305
*.f64(*.f64 (cosh.f64 x) (/.f64 y x))o*u210
↳(cosh.f64 x)overflow127
↳(/.f64 y x)underflow21
*.f64(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))u*o40
↳(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))underflow6
↳(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))overflow131
↳(/.f64 (*.f64 t t) #s(literal 2 binary64))overflow65
↳(*.f64 t t)overflow65
Confusion
Predicted +Predicted -
+5922183
-168961070
Precision
0.7780843515963737
Recall
0.97002457002457
Confusion?
Predicted +Predicted MaybePredicted -
+59225178
-16891961051
Precision?
0.7762933857236411
Recall?
0.9708435708435709
Freqs
test
numberfreq
061253
16849
2687
357
414
51
63
Total Confusion?
Predicted +Predicted MaybePredicted -
+14200
-10126
Precision?
0.993006993006993
Recall?
1.0
Samples
12.7s130 522×0valid
2.5s5 892×1valid
693.0ms1 224×2valid
30.0ms88×3valid
1.0ms2×5exit
Compiler

Compiled 24 442 to 8 402 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.2s
ival-mult: 2.8s (30.1% of total)
ival-sub: 1.2s (13.5% of total)
ival-add: 1.1s (12.4% of total)
ival-div: 1.0s (10.9% of total)
ival-log: 920.0ms (10% of total)
adjust: 633.0ms (6.9% of total)
const: 324.0ms (3.5% of total)
ival-cos: 292.0ms (3.2% of total)
ival-sqrt: 210.0ms (2.3% of total)
ival-sin: 198.0ms (2.1% of total)
ival-exp: 137.0ms (1.5% of total)
ival-true: 111.0ms (1.2% of total)
exact: 67.0ms (0.7% of total)
ival-assert: 55.0ms (0.6% of total)
ival-sinh: 25.0ms (0.3% of total)
ival-tan: 19.0ms (0.2% of total)
ival-acos: 19.0ms (0.2% of total)
ival-fabs: 18.0ms (0.2% of total)
ival-cosh: 14.0ms (0.2% of total)
ival-hypot: 9.0ms (0.1% of total)
ival-tanh: 6.0ms (0.1% of total)

bsearch36.8s (3.6%)

Memory
491.3MiB live, 51 366.4MiB allocated; 11.8s collecting garbage
Algorithm
1 746×binary-search
1 084×left-value
Stop Event
1 703×narrow-enough
43×predicate-same
Samples
21.3s143 304×0valid
1.6s4 573×1valid
346.0ms2 845×0invalid
56.0ms240×2valid
23.0ms27×3valid
22.0ms75×1invalid
Compiler

Compiled 916 164 to 665 270 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.2s
ival-mult: 7.7s (47.7% of total)
ival-sub: 2.5s (15.7% of total)
ival-add: 1.8s (11.1% of total)
ival-div: 1.0s (6.4% of total)
ival-log: 819.0ms (5.1% of total)
const: 462.0ms (2.9% of total)
ival-sin: 439.0ms (2.7% of total)
adjust: 403.0ms (2.5% of total)
ival-cos: 273.0ms (1.7% of total)
ival-exp: 243.0ms (1.5% of total)
ival-sqrt: 171.0ms (1.1% of total)
ival-true: 110.0ms (0.7% of total)
exact: 62.0ms (0.4% of total)
ival-assert: 61.0ms (0.4% of total)
ival-tanh: 12.0ms (0.1% of total)
ival-fabs: 12.0ms (0.1% of total)
ival-sinh: 10.0ms (0.1% of total)
ival-cosh: 6.0ms (0% of total)

prune26.3s (2.6%)

Memory
-472.2MiB live, 45 475.9MiB allocated; 9.4s collecting garbage
Counts
258 606 → 12 394
Compiler

Compiled 787 029 to 429 944 computations (45.4% saved)

analyze24.0s (2.3%)

Memory
690.5MiB live, 29 515.2MiB allocated; 11.2s 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)

simplify16.4s (1.6%)

Memory
-653.5MiB live, 16 757.8MiB allocated; 5.6s collecting garbage
Stop Event
207×node limit
62×saturated

start10.0ms (0%)

Memory
24.9MiB live, 24.5MiB allocated; 0ms collecting garbage

end2.0ms (0%)

Memory
6.4MiB live, 5.9MiB allocated; 0ms collecting garbage

Profiling

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