Herbie run
| Date: | Thursday, April 3rd, 2025 |
|---|---|
| Commit: | f7a7cb35 on main |
| Seed: | 2025093 |
| 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: | 83 595.4 MB |
Time bar (total: 1.2min)
| 11.1s | 16 575× | 5 | exit |
| 7.7s | 39 729× | 1 | valid |
| 6.6s | 108 614× | 0 | valid |
| 5.0s | 16 777× | 2 | valid |
| 440.0ms | 4 047× | 0 | invalid |
| 127.0ms | 1 375× | 0 | exit |
ival-exp: 3.9s (15.9% of total)ival-pow: 3.6s (14.8% of total)adjust: 2.5s (10.1% of total)ival-cos: 2.3s (9.5% of total)ival-log: 1.6s (6.5% of total)ival-mult!: 1.6s (6.5% of total)ival-tan: 1.4s (5.8% of total)ival-sqrt: 1.3s (5.5% of total)ival-fmod: 1.2s (5% of total)ival-acos: 972.0ms (4% of total)ival-sin: 772.0ms (3.2% of total)ival-div!: 756.0ms (3.1% of total)ival-sinh: 663.0ms (2.7% of total)ival-pow2: 453.0ms (1.9% of total)ival-sub!: 403.0ms (1.7% of total)ival-add!: 352.0ms (1.4% of total)ival-neg: 271.0ms (1.1% of total)ival-hypot: 139.0ms (0.6% of total)ival-<=: 55.0ms (0.2% of total)ival-atan: 49.0ms (0.2% of total)ival-and: 32.0ms (0.1% of total)ival->: 16.0ms (0.1% of total)ival-or: 15.0ms (0.1% of total)ival-assert: 3.0ms (0% of total)ival-<: 2.0ms (0% of total)| 185× | iter-limit |
| 52× | node-limit |
| 14× | unsound |
| 4× | saturated |
53 calls:
| 827.0ms | x |
| 401.0ms | a |
| 329.0ms | b |
| 231.0ms | r |
| 185.0ms | z |
Compiled 1 676 to 1 950 computations (-16.3% saved)
Compiled 667 200 to 84 173 computations (87.4% saved)
| 12× | fuel |
| 8× | done |
Compiled 3 944 to 1 000 computations (74.6% saved)
384 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | l | @ | inf | ((* (/ 1 (exp w)) (pow l (exp w))) (/ 1 (exp w)) 1 (exp w) w (pow l (exp w)) l (* (exp (neg w)) (pow l (exp w))) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (* (pow (exp -1) w) (pow l (exp w))) (pow (exp -1) w) (exp -1) -1 (* (exp (neg w)) (* (pow l (cosh w)) (pow l (sinh w)))) (exp (neg w)) (neg w) (* (pow l (cosh w)) (pow l (sinh w))) (pow l (cosh w)) (cosh w) (pow l (sinh w)) (sinh w)) |
| 60.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/2835 (* x x) x 1/180 1/6 (log (/ (sinh x) x)) (* (* x x) 1/6) (log (/ (sinh x) x)) (* (+ (* (- (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) 1/180) (* x x)) 1/6) (- (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) 1/180) (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) (* (+ (* -1/37800 (* x x)) 1/2835) x) (+ (* -1/37800 (* x x)) 1/2835) -1/37800 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1 (log (/ (sinh x) x)) (log (* (/ -1 x) (* -1/2 (* 2 (sinh x))))) (* (/ -1 x) (* -1/2 (* 2 (sinh x)))) (/ -1 x) -1 (* -1/2 (* 2 (sinh x))) -1/2 (* 2 (sinh x)) 2 (sinh x)) |
| 57.0ms | x | @ | -inf | ((+ x (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))))) (tan a))) x (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))))) (tan a)) (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))))) (/ (tan y) (- 1 (* (tan y) (tan z)))) (tan y) y (- 1 (* (tan y) (tan z))) 1 (* (tan y) (tan z)) (tan z) z (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z))))) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))) (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (* (pow (tan y) 2) (pow (tan z) 2)) (pow (tan y) 2) 2 (pow (tan z) 2) (+ 1 (* (tan y) (tan z))) (tan a) a (+ x (- (tan (+ y z)) (tan a))) (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (tan a)) (tan (+ z y)) (+ z y) (+ x (- (tan (+ y z)) (tan a))) (- (tan (+ z y)) (tan a)) (tan (+ z y)) (+ z y) (+ x (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (tan a))) (neg (* (- (neg (/ (- (tan (+ z y)) (tan a)) x)) 1) x)) (* (- (neg (/ (- (tan (+ z y)) (tan a)) x)) 1) x) (- (neg (/ (- (tan (+ z y)) (tan a)) x)) 1) (neg (/ (- (tan (+ z y)) (tan a)) x)) (/ (- (tan (+ z y)) (tan a)) x) (- (tan (+ z y)) (tan a)) (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))) (* (tan z) (tan y))) |
| 48.0ms | l | @ | 0 | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (neg w) w (pow l (exp w)) l (exp w)) |
| 42.0ms | y | @ | -inf | ((+ x (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))))) (tan a))) x (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))))) (tan a)) (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))))) (/ (tan y) (- 1 (* (tan y) (tan z)))) (tan y) y (- 1 (* (tan y) (tan z))) 1 (* (tan y) (tan z)) (tan z) z (/ (tan z) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z))))) (/ (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (+ 1 (* (tan y) (tan z)))) (- 1 (* (pow (tan y) 2) (pow (tan z) 2))) (* (pow (tan y) 2) (pow (tan z) 2)) (pow (tan y) 2) 2 (pow (tan z) 2) (+ 1 (* (tan y) (tan z))) (tan a) a (+ x (- (tan (+ y z)) (tan a))) (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (tan a)) (tan (+ z y)) (+ z y) (+ x (- (tan (+ y z)) (tan a))) (- (tan (+ z y)) (tan a)) (tan (+ z y)) (+ z y) (+ x (- (+ (/ (tan y) (- 1 (* (tan y) (tan z)))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (tan a))) (neg (* (- (neg (/ (- (tan (+ z y)) (tan a)) x)) 1) x)) (* (- (neg (/ (- (tan (+ z y)) (tan a)) x)) 1) x) (- (neg (/ (- (tan (+ z y)) (tan a)) x)) 1) (neg (/ (- (tan (+ z y)) (tan a)) x)) (/ (- (tan (+ z y)) (tan a)) x) (- (tan (+ z y)) (tan a)) (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))) (* (tan z) (tan y))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 578 | 0 |
cos.f64 | #f | sensitivity | 519 | 0 |
-.f64 | #f | cancellation | 335 | 3 |
sqrt.f64 | #f | uflow-rescue | 314 | 0 |
/.f64 | #f | n/o | 258 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 1 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 246 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 193 | 1 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 117 | 21 |
*.f64 | #f | n*u | 37 | 0 |
*.f64 | #f | n*o | 34 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 a a) | overflow | 116 | |
| ↳ | (*.f64 b b) | overflow | 14 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 12 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 62 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 58 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 49 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 49 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 10 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 68 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 60 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 56 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 5 | 0 |
| ↳ | (sinh.f64 x) | overflow | 5 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2131 | 281 |
| - | 732 | 1976 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2131 | 3 | 278 |
| - | 732 | 24 | 1952 |
| number | freq |
|---|---|
| 0 | 2257 |
| 1 | 2802 |
| 2 | 58 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 1 | 0 |
| - | 0 | 0 | 2 |
| 538.0ms | 2 496× | 1 | valid |
| 398.0ms | 1 048× | 2 | valid |
| 347.0ms | 6 588× | 0 | valid |
| 14.0ms | 108× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-cos: 147.0ms (16% of total)ival-tan: 115.0ms (12.5% of total)adjust: 95.0ms (10.3% of total)ival-sqrt: 82.0ms (8.9% of total)ival-log: 69.0ms (7.5% of total)ival-mult!: 53.0ms (5.8% of total)ival-fmod: 49.0ms (5.3% of total)ival-sinh: 45.0ms (4.9% of total)ival-exp: 43.0ms (4.7% of total)ival-add!: 41.0ms (4.5% of total)ival-sin: 38.0ms (4.1% of total)ival-acos: 37.0ms (4% of total)ival-div!: 25.0ms (2.7% of total)ival-pow2: 25.0ms (2.7% of total)ival-sub!: 19.0ms (2.1% of total)ival-hypot: 18.0ms (2% of total)ival-pow: 8.0ms (0.9% of total)ival-neg: 5.0ms (0.5% of total)ival-atan: 3.0ms (0.3% of total)| 20× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 73.7% | 26.3% | 0% | 0% | 0% | 0 |
| 28.8% | 21.3% | 52.5% | 26.3% | 0% | 0% | 0% | 1 |
| 44.1% | 32.5% | 41.2% | 26.3% | 0% | 0% | 0% | 2 |
| 52.6% | 38.7% | 35% | 26.3% | 0% | 0% | 0% | 3 |
| 61.9% | 45.6% | 28.1% | 26.3% | 0% | 0% | 0% | 4 |
| 65.2% | 47.5% | 25.3% | 26.3% | 0% | 0.9% | 0% | 5 |
| 66.8% | 48.4% | 24% | 26.3% | 0% | 1.2% | 0% | 6 |
| 71.1% | 51.1% | 20.8% | 26.3% | 0% | 1.9% | 0% | 7 |
| 72.1% | 51.6% | 20% | 26.3% | 0% | 2.1% | 0% | 8 |
| 74.4% | 53% | 18.2% | 26.3% | 0% | 2.5% | 0% | 9 |
| 75.8% | 53.9% | 17.2% | 26.3% | 0% | 2.6% | 0% | 10 |
| 76.6% | 54.3% | 16.6% | 26.3% | 0% | 2.8% | 0% | 11 |
| 77.3% | 54.8% | 16.1% | 26.3% | 0% | 2.9% | 0% | 12 |
Compiled 279 to 216 computations (22.6% saved)
| 15× | node-limit |
| 5× | saturated |
Compiled 19 688 to 9 150 computations (53.5% saved)
Compiled 84 028 to 42 759 computations (49.1% saved)
| 38× | binary-search |
| 25× | left-value |
| 34× | narrow-enough |
| 4× | predicate-same |
| 164.0ms | 873× | 1 | valid |
| 106.0ms | 144× | 2 | valid |
| 101.0ms | 1 287× | 0 | valid |
Compiled 12 164 to 9 820 computations (19.3% saved)
ival-exp: 89.0ms (28.8% of total)ival-cos: 48.0ms (15.5% of total)ival-fmod: 46.0ms (14.9% of total)ival-mult!: 26.0ms (8.4% of total)ival-sqrt: 24.0ms (7.8% of total)adjust: 21.0ms (6.8% of total)ival-pow2: 15.0ms (4.9% of total)ival-tan: 11.0ms (3.6% of total)ival-sin: 11.0ms (3.6% of total)ival-div!: 9.0ms (2.9% of total)ival-add!: 3.0ms (1% of total)ival-neg: 3.0ms (1% of total)ival-log: 1.0ms (0.3% of total)ival-sinh: 1.0ms (0.3% of total)ival-sub!: 0.0ms (0% of total)Loading profile data...