Herbie run
| Date: | Sunday, May 11th, 2025 |
|---|---|
| Commit: | 32d50127 on autofix-28-1 |
| Seed: | 2025131 |
| 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: | 227 671.3 MB |
Time bar (total: 2.9min)
| 31.2s | 224 461× | 0 | valid |
| 8.8s | 64 819× | 0 | invalid |
| 6.7s | 23 429× | 1 | valid |
| 3.7s | 14 448× | 1 | invalid |
| 3.4s | 9 864× | 2 | valid |
| 2.3s | 6 428× | 3 | valid |
| 164.0ms | 620× | 2 | invalid |
| 31.0ms | 257× | 0 | exit |
| 4.0ms | 10× | 4 | valid |
| 1.0ms | 2× | 5 | exit |
ival-mult!: 8.9s (21.4% of total)ival-div!: 5.8s (13.9% of total)ival-pow2: 3.8s (9.1% of total)ival-sqrt: 3.2s (7.6% of total)adjust: 2.8s (6.7% of total)ival-exp: 2.7s (6.5% of total)ival-pow: 2.5s (6% of total)ival-add!: 2.5s (6% of total)ival-sin: 2.3s (5.6% of total)ival-sub!: 1.7s (4.1% of total)ival-tan: 1.7s (4% of total)ival-cos: 883.0ms (2.1% of total)ival-acos: 710.0ms (1.7% of total)ival-neg: 615.0ms (1.5% of total)ival-tanu: 453.0ms (1.1% of total)ival-log: 405.0ms (1% of total)ival-hypot: 386.0ms (0.9% of total)ival-asin: 210.0ms (0.5% of total)ival-atan: 83.0ms (0.2% of total)ival-fabs: 45.0ms (0.1% of total)ival-<: 2.0ms (0% of total)ival-and: 1.0ms (0% of total)exact: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 298× | iter-limit |
| 123× | node-limit |
| 5× | unsound |
156 calls:
| 912.0ms | l |
| 696.0ms | k |
| 648.0ms | KbT |
| 565.0ms | F |
| 551.0ms | t |
Compiled 11 238 to 12 957 computations (-15.3% saved)
1200 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 637.0ms | M | @ | 0 | ((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (cos M) (exp (- (fabs (- n m)) (+ (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) l)))) (cos M) M (exp (- (fabs (- n m)) (+ (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) l))) (- (fabs (- n m)) (+ (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) l)) (fabs (- n m)) (- n m) n m (+ (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) l) (- (* 1/2 (+ n m)) M) (* 1/2 (+ n m)) 1/2 (+ n m) l (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* K (+ m n)) K (+ m n) 2 (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* m m) -1/4) (* m m) -1/4 (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- n m)) (+ (* (- (* 1/2 m) M) (- (* 1/2 m) M)) l))) (cos (- (* (* m K) 1/2) M))) (exp (- (fabs (- n m)) (+ (* (- (* 1/2 m) M) (- (* 1/2 m) M)) l))) (- (fabs (- n m)) (+ (* (- (* 1/2 m) M) (- (* 1/2 m) M)) l)) (+ (* (- (* 1/2 m) M) (- (* 1/2 m) M)) l) (- (* 1/2 m) M) (* 1/2 m) (cos (- (* (* m K) 1/2) M)) (- (* (* m K) 1/2) M) (* (* m K) 1/2) (* m K) (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (+ (* m K) (* n K)) 2) M)) (- (/ (+ (* m K) (* n K)) 2) M) (/ (+ (* m K) (* n K)) 2) (+ (* m K) (* n K)) (* n K) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2) (- (/ (+ m n) 2) M) (/ (+ m n) 2) (- l (fabs (- m n))) (fabs (- m n)) (- m n)) |
| 609.0ms | a | @ | 0 | ((/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ a (+ (+ (* 10 k) 1) (* k k))) a (+ (+ (* 10 k) 1) (* k k)) (+ (* 10 k) 1) 10 k 1 (* k k) (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ a (+ (* (+ 10 k) k) 1)) (/ a (* k k)) (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ a (+ (* (+ 10 k) k) 1)) (+ (* (* k a) -10) a) (* k a) -10 (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ a (+ (* (+ 10 k) k) 1)) (+ (* (+ 10 k) k) 1) (+ 10 k) (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ a (+ (* (+ 10 k) k) 1)) (/ (+ (* (/ a k) -10) a) (* k k)) (+ (* (/ a k) -10) a) (/ a k)) |
| 371.0ms | J | @ | inf | ((* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))))) (* J -2) J -2 (* (cos (/ K 2)) (cosh (asinh (/ U (* (+ J J) (cos (/ K 2))))))) (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ U (* (+ J J) (cos (/ K 2)))))) (asinh (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))) U (* (+ J J) (cos (/ K 2))) (+ J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ U J) 1/2) (/ U J) 1/2) |
| 222.0ms | f | @ | inf | ((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log (/ 2 f)) (PI)) (/ (log (* 1/2 (PI))) (PI))) -4) (- (/ (log (/ 2 f)) (PI)) (/ (log (* 1/2 (PI))) (PI))) (/ (log (/ 2 f)) (PI)) (log (/ 2 f)) (/ 2 f) 2 (/ (log (* 1/2 (PI))) (PI)) (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (* (* (/ 1 (PI)) 4) (neg (log (/ (+ (exp (neg (* (/ (PI) 4) f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) (neg (log (/ (+ (exp (neg (* (/ (PI) 4) f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (neg (* (/ (PI) 4) f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (neg (* (/ (PI) 4) f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (neg (* (/ (PI) 4) f))) (exp (* (/ (PI) 4) f))) (exp (neg (* (/ (PI) 4) f))) (exp (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) -1/4 (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) |
| 196.0ms | f | @ | -inf | ((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4)))) |
| 30× | fuel |
| 2× | done |
Compiled 7 431 to 4 197 computations (43.5% saved)
| 31× | node-limit |
| 1× | saturated |
Compiled 112 653 to 86 144 computations (23.5% saved)
| 32× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 98.2% | 1.8% | 0% | 0% | 0% | 0 |
| 22.2% | 21.8% | 76.4% | 1.8% | 0% | 0% | 0% | 1 |
| 22.6% | 21.8% | 74.8% | 1.8% | 0% | 1.6% | 0% | 2 |
| 28.6% | 26.5% | 66.3% | 1.8% | 0% | 5.5% | 0% | 3 |
| 32.6% | 29.6% | 61.2% | 1.8% | 0% | 7.4% | 0% | 4 |
| 35.8% | 32.3% | 58% | 1.8% | 0% | 8% | 0% | 5 |
| 40.1% | 36.1% | 54% | 1.8% | 0% | 8.1% | 0% | 6 |
| 45.5% | 40.6% | 48.7% | 1.8% | 0% | 8.9% | 0% | 7 |
| 47.9% | 42.1% | 45.8% | 1.8% | 0% | 10.3% | 0% | 8 |
| 51% | 44.6% | 43% | 1.8% | 0% | 10.6% | 0% | 9 |
| 52.1% | 45.5% | 41.8% | 1.8% | 0% | 11% | 0% | 10 |
| 53.9% | 46.7% | 40% | 1.8% | 0% | 11.5% | 0% | 11 |
| 55.6% | 47.9% | 38.2% | 1.8% | 0% | 12.1% | 0% | 12 |
Compiled 798 to 574 computations (28.1% saved)
Compiled 999 354 to 246 957 computations (75.3% saved)
Compiled 167 326 to 132 661 computations (20.7% saved)
| 238× | binary-search |
| 147× | left-value |
| 223× | narrow-enough |
| 9× | predicate-failed |
| 6× | predicate-same |
| 2.0s | 15 399× | 0 | valid |
| 204.0ms | 1 994× | 0 | invalid |
| 188.0ms | 907× | 1 | valid |
| 72.0ms | 263× | 2 | valid |
| 26.0ms | 87× | 3 | valid |
| 11.0ms | 51× | 1 | invalid |
| 1.0ms | 6× | 2 | invalid |
Compiled 113 239 to 109 560 computations (3.2% saved)
ival-mult!: 327.0ms (18.9% of total)ival-div!: 251.0ms (14.5% of total)ival-pow: 156.0ms (9% of total)ival-tan: 155.0ms (9% of total)ival-add!: 144.0ms (8.3% of total)ival-sin: 144.0ms (8.3% of total)ival-exp: 100.0ms (5.8% of total)ival-pow2: 94.0ms (5.4% of total)ival-sub!: 94.0ms (5.4% of total)ival-cos: 71.0ms (4.1% of total)ival-neg: 63.0ms (3.6% of total)adjust: 60.0ms (3.5% of total)ival-sqrt: 22.0ms (1.3% of total)ival-hypot: 22.0ms (1.3% of total)ival-tanu: 14.0ms (0.8% of total)ival-fabs: 7.0ms (0.4% of total)ival-log: 4.0ms (0.2% of total)ival-atan: 1.0ms (0.1% of total)ival-pi: 0.0ms (0% of total)Loading profile data...