Herbie run
| Date: | Monday, May 12th, 2025 |
|---|---|
| Commit: | 2ad78556 on artem-rules-updates |
| Seed: | 2025132 |
| 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: | 197 320.7 MB |
Time bar (total: 2.9min)
| 29.8s | 224 370× | 0 | valid |
| 8.6s | 65 465× | 0 | invalid |
| 6.7s | 23 547× | 1 | valid |
| 4.9s | 14 302× | 1 | invalid |
| 2.8s | 9 766× | 2 | valid |
| 2.5s | 6 503× | 3 | valid |
| 140.0ms | 568× | 2 | invalid |
| 24.0ms | 259× | 0 | exit |
| 2.0ms | 6× | 4 | valid |
| 0.0ms | 1× | 3 | exit |
ival-mult!: 11.1s (27.6% of total)ival-div!: 6.0s (15% of total)adjust: 3.0s (7.5% of total)ival-sqrt: 2.8s (7% of total)ival-pow2: 2.8s (6.9% of total)ival-exp: 2.4s (5.9% of total)ival-sin: 2.2s (5.4% of total)ival-sub!: 2.1s (5.3% of total)ival-pow: 2.1s (5.3% of total)ival-add!: 1.3s (3.3% of total)ival-tan: 933.0ms (2.3% of total)ival-cos: 802.0ms (2% of total)ival-acos: 726.0ms (1.8% of total)ival-neg: 594.0ms (1.5% of total)ival-log: 345.0ms (0.9% of total)ival-hypot: 332.0ms (0.8% of total)ival-tanu: 281.0ms (0.7% of total)ival-asin: 190.0ms (0.5% of total)ival-atan: 112.0ms (0.3% of total)ival-fabs: 40.0ms (0.1% of total)ival-<: 1.0ms (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)| 246× | iter-limit |
| 102× | node-limit |
| 30× | saturated |
| 22× | unsound |
150 calls:
| 582.0ms | l |
| 578.0ms | t |
| 520.0ms | k |
| 514.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 433.0ms | x |
Compiled 10 318 to 11 618 computations (-12.6% saved)
1158 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 170.0ms | f | @ | inf | ((neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI))) 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))) (cosh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) 1/4 (PI) f (sinh (* (* 1/4 (PI)) f)) (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)) 2 (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))))) (log (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4)))) (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4))) (neg (* (/ 1 (PI)) 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)) (/ (PI) 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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) 1/32 (* (* (PI) (PI)) f) (* (PI) (PI)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) |
| 155.0ms | J | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J)) |
| 119.0ms | n | @ | -inf | ((* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) 1 (sqrt k) k (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))) 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)) (log (* 2 (* n (PI)))) (* 2 (* n (PI))) 2 (* n (PI)) n (PI) (- 1 k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) (sqrt (/ 1 k)) (/ 1 k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (sqrt (* n (PI))) (sqrt 2)) (sqrt (* n (PI))) (sqrt 2) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) (/ (- 1 k) 2) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (+ (* k (+ (* -1/2 (* (sqrt (* k (* n (PI)))) (* (log (* 2 (* n (PI)))) (sqrt 2)))) (* 1/8 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)))))) (* (sqrt (* k (* n (PI)))) (sqrt 2))) k) (+ (* k (+ (* -1/2 (* (sqrt (* k (* n (PI)))) (* (log (* 2 (* n (PI)))) (sqrt 2)))) (* 1/8 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)))))) (* (sqrt (* k (* n (PI)))) (sqrt 2))) (* n (+ (* k (+ (* -1/2 (* (sqrt (/ (* k (PI)) n)) (* (sqrt 2) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (* 1/8 (* (sqrt (/ (* (pow k 3) (PI)) n)) (* (sqrt 2) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2)))))) (* (sqrt (/ (* k (PI)) n)) (sqrt 2)))) (+ (* k (+ (* -1/2 (* (sqrt (/ (* k (PI)) n)) (* (sqrt 2) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (* 1/8 (* (sqrt (/ (* (pow k 3) (PI)) n)) (* (sqrt 2) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2)))))) (* (sqrt (/ (* k (PI)) n)) (sqrt 2))) (+ (* -1/2 (* (sqrt (/ (* k (PI)) n)) (* (sqrt 2) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (* 1/8 (* (sqrt (/ (* (pow k 3) (PI)) n)) (* (sqrt 2) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2))))) -1/2 (* (sqrt (/ (* k (PI)) n)) (* (sqrt 2) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))) (sqrt (/ (* k (PI)) n)) (/ (* k (PI)) n) (* k (PI)) (* (sqrt 2) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (log (* 2 (PI))) (* -1 (log (/ 1 n))) -1 (log (/ 1 n)) (/ 1 n) (* 1/8 (* (sqrt (/ (* (pow k 3) (PI)) n)) (* (sqrt 2) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2)))) 1/8 (* (sqrt (/ (* (pow k 3) (PI)) n)) (* (sqrt 2) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2))) (sqrt (/ (* (pow k 3) (PI)) n)) (/ (* (pow k 3) (PI)) n) (* (pow k 3) (PI)) (pow k 3) 3 (* (sqrt 2) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2)) (pow (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) 2) (* (sqrt (/ (* k (PI)) n)) (sqrt 2)) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (+ (* k (+ (* -1/2 (* (sqrt (* k (* n (PI)))) (* (log (* 2 (* n (PI)))) (sqrt 2)))) (* k (+ (* -1/48 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2)))) (* 1/8 (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)))))))) (* (sqrt (* k (* n (PI)))) (sqrt 2))) k) (+ (* k (+ (* -1/2 (* (sqrt (* k (* n (PI)))) (* (log (* 2 (* n (PI)))) (sqrt 2)))) (* k (+ (* -1/48 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2)))) (* 1/8 (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)))))))) (* (sqrt (* k (* n (PI)))) (sqrt 2))) (+ (* -1/2 (* (sqrt (* k (* n (PI)))) (* (log (* 2 (* n (PI)))) (sqrt 2)))) (* k (+ (* -1/48 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2)))) (* 1/8 (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2))))))) (* (sqrt (* k (* n (PI)))) (* (log (* 2 (* n (PI)))) (sqrt 2))) (sqrt (* k (* n (PI)))) (* k (* n (PI))) (* (log (* 2 (* n (PI)))) (sqrt 2)) (* k (+ (* -1/48 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2)))) (* 1/8 (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)))))) (+ (* -1/48 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2)))) (* 1/8 (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2))))) -1/48 (* (sqrt (* (pow k 3) (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2))) (sqrt (* (pow k 3) (* n (PI)))) (* (pow k 3) (* n (PI))) (* (pow (log (* 2 (* n (PI)))) 3) (sqrt 2)) (pow (log (* 2 (* n (PI)))) 3) (* 1/8 (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)))) (* (sqrt (* k (* n (PI)))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2))) (* (pow (log (* 2 (* n (PI)))) 2) (sqrt 2)) (pow (log (* 2 (* n (PI)))) 2) (* (sqrt (* k (* n (PI)))) (sqrt 2))) |
| 111.0ms | t | @ | inf | ((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (* 2 (* l l)) (* (* (* k k) (* k k)) t) (* (* k k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (* (* t t) t) (* l l))) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (sin k) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t))) |
| 107.0ms | m | @ | 0 | ((/ (* (pow k m) a) (+ (* (+ 10 k) k) 1)) (* (pow k m) a) (pow k m) k m a (+ (* (+ 10 k) k) 1) (+ 10 k) 10 1 (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ a (+ (* (+ 10 k) k) 1)) (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (/ (+ (* (* (log k) m) a) a) (+ (* (+ 10 k) k) 1)) (+ (* (* (log k) m) a) a) (* (log k) m) (log k) (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (* a (pow k m)) (pow k m) (+ (* (log k) m) 1) (+ (+ 1 (* 10 k)) (* k k)) (+ 1 (* 10 k)) (* 10 k) (* k k) (/ 1 (/ (+ (* (+ 10 k) k) 1) (* (pow k m) a))) (/ (+ (* (+ 10 k) k) 1) (* (pow k m) a))) |
| 29× | fuel |
| 3× | done |
Compiled 6 329 to 3 615 computations (42.9% 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)
| 32× | node-limit |
Compiled 84 861 to 65 208 computations (23.2% saved)
Compiled 786 869 to 210 150 computations (73.3% saved)
Compiled 143 754 to 116 665 computations (18.8% saved)
| 176× | binary-search |
| 145× | left-value |
| 170× | narrow-enough |
| 6× | predicate-same |
| 1.3s | 10 291× | 0 | valid |
| 133.0ms | 677× | 1 | valid |
| 98.0ms | 744× | 0 | invalid |
| 42.0ms | 77× | 2 | valid |
| 11.0ms | 72× | 1 | invalid |
| 3.0ms | 11× | 3 | valid |
| 1.0ms | 6× | 2 | invalid |
Compiled 79 758 to 77 211 computations (3.2% saved)
ival-mult!: 235.0ms (21% of total)ival-sin: 146.0ms (13% of total)ival-div!: 139.0ms (12.4% of total)ival-pow: 130.0ms (11.6% of total)ival-tan: 93.0ms (8.3% of total)ival-hypot: 70.0ms (6.2% of total)ival-add!: 59.0ms (5.3% of total)ival-pow2: 59.0ms (5.3% of total)ival-exp: 37.0ms (3.3% of total)adjust: 34.0ms (3% of total)ival-sub!: 32.0ms (2.9% of total)ival-neg: 27.0ms (2.4% of total)ival-sqrt: 25.0ms (2.2% of total)ival-cos: 24.0ms (2.1% of total)ival-tanu: 5.0ms (0.4% of total)ival-fabs: 4.0ms (0.4% of total)ival-log: 3.0ms (0.3% of total)ival-atan: 1.0ms (0.1% of total)ival-pi: 0.0ms (0% of total)Loading profile data...