Herbie run
| Date: | Sunday, March 30th, 2025 |
|---|---|
| Commit: | 2100b191 on main |
| Seed: | 2025089 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
| Memory: | 77 650.2 MB |
Time bar (total: 1.2min)
| 11.4s | 16 430× | 5 | exit |
| 8.1s | 39 713× | 1 | valid |
| 7.3s | 108 729× | 0 | valid |
| 4.7s | 16 678× | 2 | valid |
| 428.0ms | 3 861× | 0 | invalid |
| 100.0ms | 1 358× | 0 | exit |
ival-exp: 4.1s (16.5% of total)ival-pow: 3.7s (14.8% of total)ival-cos: 2.4s (9.7% of total)adjust: 2.4s (9.5% of total)ival-mult!: 1.7s (7% of total)ival-tan: 1.5s (6.1% of total)ival-log: 1.4s (5.8% of total)ival-div!: 1.4s (5.7% of total)ival-fmod: 1.2s (4.7% of total)ival-sqrt: 988.0ms (4% of total)ival-sin: 952.0ms (3.8% of total)ival-sinh: 700.0ms (2.8% of total)ival-sub!: 560.0ms (2.2% of total)ival-acos: 517.0ms (2.1% of total)ival-pow2: 420.0ms (1.7% of total)ival-add!: 332.0ms (1.3% of total)ival-neg: 251.0ms (1% of total)ival-hypot: 178.0ms (0.7% of total)ival-<=: 71.0ms (0.3% of total)ival-atan: 50.0ms (0.2% of total)ival-and: 33.0ms (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)ival-<: 2.0ms (0% of total)| 187× | iter-limit |
| 50× | node-limit |
| 16× | unsound |
| 5× | saturated |
53 calls:
| 715.0ms | x |
| 454.0ms | a |
| 328.0ms | r |
| 246.0ms | (tan.f64 (+.f64 y z)) |
| 245.0ms | (tan.f64 a) |
Compiled 1 619 to 1 928 computations (-19.1% saved)
| 38× | iter-limit |
| 29× | node-limit |
| 13× | saturated |
Compiled 18 765 to 8 588 computations (54.2% saved)
| 12× | fuel |
| 8× | done |
Compiled 3 881 to 930 computations (76% saved)
Compiled 560 984 to 75 719 computations (86.5% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 594 | 0 |
cos.f64 | #f | sensitivity | 515 | 0 |
-.f64 | #f | cancellation | 340 | 0 |
sqrt.f64 | #f | uflow-rescue | 289 | 0 |
/.f64 | #f | n/o | 258 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 252 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 247 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 185 | 1 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 127 | 17 |
*.f64 | #f | n*u | 38 | 0 |
*.f64 | #f | n*o | 36 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 18 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 66 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 60 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 58 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 65 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 17 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 56 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 77 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 62 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 64 | |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 9 | 0 |
| ↳ | (*.f64 a a) | overflow | 109 | |
| ↳ | (*.f64 b b) | overflow | 9 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 4 | 0 |
| ↳ | (sinh.f64 x) | overflow | 4 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 4 | |
exp.f64 | #f | sensitivity | 2 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2180 | 257 |
| - | 686 | 1997 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2180 | 1 | 256 |
| - | 686 | 18 | 1979 |
| number | freq |
|---|---|
| 0 | 2254 |
| 1 | 2806 |
| 2 | 55 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 570.0ms | 2 522× | 1 | valid |
| 372.0ms | 6 602× | 0 | valid |
| 363.0ms | 998× | 2 | valid |
| 16.0ms | 118× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
adjust: 130.0ms (15% of total)ival-log: 118.0ms (13.6% of total)ival-tan: 93.0ms (10.7% of total)ival-fmod: 72.0ms (8.3% of total)ival-cos: 68.0ms (7.8% of total)ival-mult!: 57.0ms (6.6% of total)ival-sin: 55.0ms (6.3% of total)ival-sqrt: 50.0ms (5.8% of total)ival-exp: 43.0ms (5% of total)ival-sinh: 35.0ms (4% of total)ival-acos: 29.0ms (3.3% of total)ival-div!: 26.0ms (3% of total)ival-pow2: 22.0ms (2.5% of total)ival-add!: 19.0ms (2.2% of total)ival-sub!: 19.0ms (2.2% of total)ival-hypot: 9.0ms (1% of total)ival-pow: 8.0ms (0.9% of total)ival-neg: 7.0ms (0.8% of total)ival-atan: 6.0ms (0.7% of total)381 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | x | @ | -inf | ((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2)) |
| 45.0ms | a | @ | 0 | ((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (/ 1 (pow (sin b) -1)) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (/ 1 (pow (sin b) -1)) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (/ 1 (pow (sin b) -1)) (sin a)) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (- (* (* b b) 1/120) 1/6) (* b b)) 1) b) (+ (* (- (* (* b b) 1/120) 1/6) (* b b)) 1) (- (* (* b b) 1/120) 1/6) (* (* b b) 1/120) (* b b) 1/120 1/6 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (sin b) (sin a))) |
| 42.0ms | w | @ | inf | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (neg w) w (pow l (exp w)) l (exp w)) |
| 41.0ms | x | @ | 0 | ((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (exp (* (log x) -1)) 1) x) (- (exp (* (log x) -1)) 1) (* (log x) -1) (log x) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- (/ (PI) 2) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2))) (* (pow (asin (- 1 x)) 1/2) (pow (asin (- 1 x)) 1/2)) (pow (asin (- 1 x)) 1/2)) |
| 40.0ms | l | @ | -inf | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (neg w) w (pow l (exp w)) (pow (pow l (neg (exp w))) -1) (pow l (neg (exp w))) l (neg (exp w)) (exp w) -1 (* (exp (neg w)) (pow l (exp w))) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (neg l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) 1 (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* (+ (* -1/6 w) 1/2) w) -1) w) 1) (+ (* (+ (* -1/6 w) 1/2) w) -1) (+ (* -1/6 w) 1/2) -1/6 1/2) |
| 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)
Compiled 79 507 to 42 831 computations (46.1% saved)
| 48× | binary-search |
| 11× | left-value |
| 31× | narrow-enough |
| 15× | predicate-same |
| 2× | predicate-failed |
| 213.0ms | 1 093× | 1 | valid |
| 107.0ms | 1 435× | 0 | valid |
| 43.0ms | 112× | 2 | valid |
| 23.0ms | 202× | 0 | invalid |
Compiled 14 323 to 11 274 computations (21.3% saved)
ival-tan: 77.0ms (25.4% of total)ival-exp: 43.0ms (14.2% of total)ival-cos: 35.0ms (11.6% of total)ival-fmod: 33.0ms (10.9% of total)adjust: 26.0ms (8.6% of total)ival-mult!: 26.0ms (8.6% of total)ival-add!: 14.0ms (4.6% of total)ival-pow2: 10.0ms (3.3% of total)ival-sqrt: 9.0ms (3% of total)ival-div!: 5.0ms (1.7% of total)ival-sin: 5.0ms (1.7% of total)ival-pow: 4.0ms (1.3% of total)ival-acos: 4.0ms (1.3% of total)ival-neg: 4.0ms (1.3% of total)ival-sub!: 3.0ms (1% of total)ival-log: 1.0ms (0.3% of total)ival-sinh: 1.0ms (0.3% of total)Loading profile data...