Herbie run
| Date: | Thursday, May 22nd, 2025 |
|---|---|
| Commit: | 089dffb0 on main |
| Seed: | 2025142 |
| 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: | 28 373.0 MB |
Time bar (total: 23.6s)
| 5.8s | 70 174× | 0 | valid |
| 586.0ms | 4 118× | 2 | valid |
| 142.0ms | 1 991× | 0 | invalid |
| 1.0ms | 12× | 1 | valid |
ival-mult!: 771.0ms (25.8% of total)ival-div!: 549.0ms (18.3% of total)ival-sqrt: 377.0ms (12.6% of total)ival-neg: 348.0ms (11.6% of total)ival-sub!: 337.0ms (11.3% of total)ival-exp: 144.0ms (4.8% of total)adjust: 132.0ms (4.4% of total)ival-fabs: 123.0ms (4.1% of total)ival-add!: 105.0ms (3.5% of total)ival-log: 100.0ms (3.3% of total)ival-if: 4.0ms (0.1% of total)ival->=: 3.0ms (0.1% of total)| 78× | iter-limit |
| 29× | node-limit |
| 2× | unsound |
| 1× | saturated |
| 5× | done |
| 4× | fuel |
Compiled 7 149 to 646 computations (91% saved)
Compiled 414 681 to 41 273 computations (90% saved)
| 9× | node-limit |
Compiled 8 460 to 1 448 computations (82.9% saved)
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | x | @ | -inf | ((neg (log (- (/ 1 x) 1))) (log x) x (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (/ -1 x) -1) |
| 44.0ms | a | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) b 0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) a (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) 2 c (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (neg b) (+ (* (* a (/ c (* b b))) -2) 2)) (+ (* (* a (/ c (* b b))) -2) 2) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1/2 (sqrt (* -4 (/ c a)))) -1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) -4 (/ c a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* -4 a) c) (* b b))) b))) (* (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) -1/2) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* b b) (/ (+ c c) (- (sqrt (+ (* (* -4 a) c) (* b b))) b)) (/ (+ c c) (sqrt (* (* -4 a) c))) (+ c c) (sqrt (* (* -4 a) c)) (* (* -4 a) c) (* -4 a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 1/2 (* c (sqrt (* -4 (/ a c))))) a) (* 1/2 (* c (sqrt (* -4 (/ a c))))) 1/2 (* c (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* -4 a) c) (* b b))) b))) (* (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) -1/2) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) (neg (/ (* c (sqrt (* -4 (/ a c)))) a)) (/ (* c (sqrt (* -4 (/ a c)))) a) (* c (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (* a c) (/ (+ c c) (- (sqrt (+ (* (* -4 a) c) (* b b))) b)) (- (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b))) |
| 38.0ms | c | @ | inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2)))) (/ (+ (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2))) (* 2 a))) (>= b 0) b 0 (/ (* 2 c) (- (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2)))) (* 2 c) 2 c (- (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2))) (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2)) (* (log (+ (* (* -4 a) c) (* b b))) 1/2) (log (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a (* b b) 1/2 (/ (+ (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2))) (* 2 a)) (+ (neg b) (exp (* (log (+ (* (* -4 a) c) (* b b))) 1/2))) (* 2 a) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (* (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) -2) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2)) (* (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) -2) (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) (/ -1 (sqrt (* -4 (/ a c)))) -1 (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) -2 (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2) (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) (- (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (sqrt (* b b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (* (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) -2) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2)) (* (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) -2) (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2) (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) (- (sqrt (+ (* (* -4 a) c) (* b b))) b) (* -2 (/ (* a c) b)) (/ (* a c) b) (* a c) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (* (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) -2) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2)) (* (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) -2) (/ c (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) (/ -1 (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* a (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2) (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) (- (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (+ (* b b) (* -4 (* a c))) (* -4 (* a c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (neg c) (+ (/ b c) (sqrt (* (/ a c) -4)))) (* -1 (+ b (* c (sqrt (* -4 (/ a c)))))) (+ b (* c (sqrt (* -4 (/ a c))))) (* c (sqrt (* -4 (/ a c))))) |
| 32.0ms | a | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) b 0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2 (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 31.0ms | b | @ | inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) b 0 (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) 2 c (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 62× | binary-search |
| 8× | left-value |
| 46× | narrow-enough |
| 16× | predicate-same |
| 375.0ms | 3 552× | 0 | valid |
| 129.0ms | 817× | 0 | invalid |
| 11.0ms | 96× | 2 | valid |
Compiled 70 684 to 39 147 computations (44.6% saved)
ival-mult!: 129.0ms (35.8% of total)ival-div!: 76.0ms (21.1% of total)ival-sub!: 41.0ms (11.4% of total)ival-neg: 39.0ms (10.8% of total)ival-sqrt: 31.0ms (8.6% of total)ival-if: 14.0ms (3.9% of total)ival->=: 10.0ms (2.8% of total)ival-add!: 9.0ms (2.5% of total)ival-exp: 5.0ms (1.4% of total)adjust: 3.0ms (0.8% of total)ival-fabs: 3.0ms (0.8% of total)26 calls:
| 230.0ms | b |
| 83.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 72.0ms | x |
| 64.0ms | z |
| 58.0ms | a |
Compiled 954 to 810 computations (15.1% saved)
| 9× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 22.2% | 22.2% | 77.7% | 0.1% | 0% | 0% | 0% | 1 |
| 29.4% | 27.8% | 66.6% | 0.1% | 0% | 5.6% | 0% | 2 |
| 50% | 44.4% | 44.4% | 0.1% | 0% | 11.1% | 0% | 3 |
| 59.7% | 51.3% | 34.7% | 0.1% | 0% | 13.9% | 0% | 4 |
| 66.4% | 56.2% | 28.4% | 0.1% | 0% | 15.3% | 0% | 5 |
| 74% | 62.1% | 21.8% | 0.1% | 0% | 16% | 0% | 6 |
| 77.6% | 63.8% | 18.4% | 0.1% | 0% | 17.7% | 0% | 7 |
| 79.3% | 65% | 17% | 0.1% | 0% | 17.9% | 0% | 8 |
| 85% | 69.2% | 12.2% | 0.1% | 0% | 18.5% | 0% | 9 |
| 86.8% | 69.7% | 10.6% | 0.1% | 0% | 19.6% | 0% | 10 |
| 88.7% | 71.1% | 9.1% | 0.1% | 0% | 19.8% | 0% | 11 |
| 91.6% | 72.9% | 6.7% | 0.1% | 0% | 20.3% | 0% | 12 |
Compiled 153 to 106 computations (30.7% saved)
Compiled 28 752 to 12 869 computations (55.2% saved)
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