Herbie run

Date:Sunday, April 20th, 2025
Commit:db13855b on artem-rules-updates
Seed:2025110
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:142 001.7 MB

Time bar (total: 2.0min)

sample47.7s (39.5%)

Memory
1 149.9MiB live, 57 140.6MiB allocated; 15.3s collecting garbage
Samples
20.3s292 865×0valid
7.1s35 730×1valid
6.5s17 711×2valid
375.0ms4 110×0invalid
162.0ms446×3valid
96.0ms945×0exit
51.0ms101×4exit
48.0ms101×3exit
5.0ms40×1exit
Precisions
Click to see histograms. Total time spent on operations: 23.6s
ival-mult!: 6.4s (26.9% of total)
ival-pow: 3.4s (14.3% of total)
adjust: 2.5s (10.7% of total)
ival-div!: 2.3s (9.9% of total)
ival-sin: 1.9s (7.8% of total)
ival-add!: 1.7s (7.1% of total)
ival-sub!: 1.4s (6.1% of total)
ival-cos: 1.2s (5.2% of total)
ival-exp: 1.0s (4.3% of total)
ival-neg: 564.0ms (2.4% of total)
ival-sqrt: 502.0ms (2.1% of total)
ival-pow2: 327.0ms (1.4% of total)
ival-log1p: 145.0ms (0.6% of total)
ival-atan: 90.0ms (0.4% of total)
ival-expm1: 68.0ms (0.3% of total)
ival-tan: 56.0ms (0.2% of total)
ival-hypot: 18.0ms (0.1% of total)
ival-<=: 12.0ms (0.1% of total)
ival-and: 8.0ms (0% of total)
ival-fabs: 4.0ms (0% of total)
ival-if: 4.0ms (0% of total)
ival-==: 4.0ms (0% of total)
ival-assert: 1.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

rewrite28.8s (23.8%)

Memory
694.3MiB live, 31 339.5MiB allocated; 8.2s collecting garbage
Stop Event
362×iter-limit
142×node-limit
11×saturated
unsound
Counts
19 223 → 42 234

derivations9.0s (7.4%)

Memory
-163.9MiB live, 7 692.8MiB allocated; 2.2s collecting garbage
Stop Event
24×fuel
18×done
Compiler

Compiled 5 279 to 2 684 computations (49.2% saved)

preprocess8.8s (7.3%)

Memory
-757.3MiB live, 7 442.6MiB allocated; 5.6s collecting garbage
Stop Event
33×node-limit
saturated
Compiler

Compiled 19 317 to 14 054 computations (27.2% saved)

eval6.7s (5.6%)

Memory
-384.2MiB live, 10 714.7MiB allocated; 2.5s collecting garbage
Compiler

Compiled 606 568 to 197 605 computations (67.4% saved)

regimes6.1s (5.1%)

Memory
27.4MiB live, 8 413.4MiB allocated; 1.5s collecting garbage
Counts
4 678 → 575
Calls

96 calls:

463.0ms
b
444.0ms
x
360.0ms
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
237.0ms
a
227.0ms
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
Compiler

Compiled 8 183 to 6 263 computations (23.5% saved)

series4.5s (3.7%)

Memory
804.0MiB live, 6 720.1MiB allocated; 1.1s collecting garbage
Counts
3 234 → 15 989
Calls

891 calls:

TimeVariablePointExpression
106.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (+ (* (/ (- (exp i) 1) i) 100) (* (/ (* (exp i) i) n) -50)) n) (+ (* (/ (- (exp i) 1) i) 100) (* (/ (* (exp i) i) n) -50)) (/ (* (- (exp i) 1) 100) i) (* (- (exp i) 1) 100) (- (exp i) 1) i 100 n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (+ (* (/ (- (exp i) 1) i) 100) (* (/ (* (exp i) i) n) -50)) n) (+ (* (/ (- (exp i) 1) i) 100) (* (/ (* (exp i) i) n) -50)) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) 50 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (+ (* (/ (- (exp i) 1) i) 100) (* (/ (* (exp i) i) n) -50)) n) (+ (* (/ (- (exp i) 1) i) 100) (* (/ (* (exp i) i) n) -50)) (+ (* (- 50 (/ 50 n)) i) 100) (- 50 (/ 50 n)) (/ 50 n) (* (* (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) i) n) 100) (* (/ (* (log (* (/ 1 n) i)) (* n n)) i) 100) (/ (* (log (* (/ 1 n) i)) (* n n)) i) (* (log (* (/ 1 n) i)) (* n n)) (log (* (/ 1 n) i)) (* (/ 1 n) i) (/ i n) (* n n) (* (* (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) i) n) 100) (* (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) i) n) (/ (- (exp (* (log (+ (/ i n) 1)) n)) 1) i) (- (exp (* (log (+ (/ i n) 1)) n)) 1) (* (log (+ (/ i n) 1)) n) (log (+ (/ i n) 1)) (+ (/ i n) 1))
100.0ms
r
@inf
((- (+ (/ 2 (* r r)) 3) (+ (* (* (+ (* -2 v) 3) 1/8) (/ (* (* r w) (* r w)) (- 1 v))) 9/2)) (+ (/ 2 (* r r)) 3) (/ 2 (* r r)) 2 (* r r) r 3 (+ (* (* (+ (* -2 v) 3) 1/8) (/ (* (* r w) (* r w)) (- 1 v))) 9/2) (* (+ (* -2 v) 3) 1/8) (+ (* -2 v) 3) -2 v 1/8 (/ (* (* r w) (* r w)) (- 1 v)) (* (* r w) (* r w)) (* r w) w (- 1 v) 1 9/2 (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) (+ (* (* 1/4 (* r r)) (* w w)) 3/2)) (+ (* (* 1/4 (* r r)) (* w w)) 3/2) (* 1/4 (* r r)) 1/4 (* w w) 3/2 (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (* 1/8 (- 3 (* 2 v))) (- 3 (* 2 v)) (* 2 v) (* (* (* w w) r) r) (* (* w w) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w (* w r)) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w (* w r)) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w (* w r)) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w (* w r)) r)) (* (* w (* w r)) r) (* w (* w r)) (* w r))
75.0ms
x
@-inf
((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (+ x 1) x (+ 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1)
70.0ms
x
@0
((* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) x (* y y) y (- (* x x) (* y y)) (* x x) (- (pow x 4) (pow y 4)) (* (* x x) (* x x)) (- (pow x 4) (pow y 4)) (neg (* (* y y) (* y y))) (* (* y y) (* y y)) (- (* (* x x) (* x x)) (pow y 4)) (pow y 4) 4 (- (pow x 4) (* (* y y) (* y y))) (pow x 4))
58.0ms
x
@0
((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (* -2 (exp (* (log x) 2))) -2 (exp (* (log x) 2)) (* (log x) 2) (log x) x 2 (/ x (* 2 y)) (* 2 y) y (+ (/ x (+ y y)) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8)))) (/ x (+ y y)) (+ y y) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (* (* x x) -2) (* x x))

prune4.0s (3.3%)

Memory
-112.7MiB live, 5 207.3MiB allocated; 2.0s collecting garbage
Counts
44 966 → 1 972
Compiler

Compiled 86 582 to 65 484 computations (24.4% saved)

analyze3.2s (2.7%)

Memory
-42.7MiB live, 4 337.5MiB allocated; 736ms collecting garbage
Algorithm
43×search
random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%54.5%45.5%0%0%0%0
21.4%11.7%42.9%45.5%0%0%0%1
37.4%20.4%34.1%45.5%0%0%0%2
48.7%26.2%27.7%45.5%0%0.6%0%3
57.7%30.7%22.6%45.5%0%1.2%0%4
71.2%37.7%15.3%45.5%0%1.6%0%5
72.9%38.4%14.3%45.5%0%1.8%0%6
77.9%40.7%11.6%45.5%0%2.2%0%7
81.5%42.6%9.7%45.5%0%2.3%0%8
84.1%43.8%8.3%45.5%0%2.5%0%9
86.2%44.6%7.2%45.5%0%2.7%0%10
88.2%45.6%6.1%45.5%0%2.8%0%11
89.1%45.9%5.6%45.5%0%2.9%0%12
Compiler

Compiled 1 402 to 721 computations (48.6% saved)

bsearch2.0s (1.6%)

Memory
29.0MiB live, 2 986.9MiB allocated; 245ms collecting garbage
Algorithm
155×binary-search
119×left-value
Stop Event
144×narrow-enough
11×predicate-same
Samples
595.0ms8 822×0valid
238.0ms533×2valid
201.0ms1 104×1valid
71.0ms1 197×0invalid
3.0ms38×0exit
3.0ms3valid
2.0ms14×1exit
Compiler

Compiled 81 499 to 64 790 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 789.0ms
ival-mult!: 226.0ms (28.6% of total)
ival-pow: 195.0ms (24.7% of total)
ival-div!: 113.0ms (14.3% of total)
adjust: 57.0ms (7.2% of total)
ival-add!: 53.0ms (6.7% of total)
ival-sub!: 50.0ms (6.3% of total)
ival-neg: 41.0ms (5.2% of total)
ival-sqrt: 27.0ms (3.4% of total)
ival-exp: 24.0ms (3% of total)
ival-log1p: 2.0ms (0.3% of total)

start2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Profiling

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