Herbie run
| Date: | Monday, December 2nd, 2024 |
|---|---|
| Commit: | a3fa83c3 on main |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024337 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
| Memory: | 124 822.4 MB |
Time bar (total: 2.3min)
| 12.5s | 43 628× | 1 | valid |
| 10.6s | 109 823× | 0 | valid |
| 9.0s | 6 417× | 5 | exit |
| 4.8s | 11 669× | 2 | valid |
| 1.1s | 10 185× | 1 | exit |
| 407.0ms | 3 788× | 0 | invalid |
| 123.0ms | 1 450× | 0 | exit |
| 0.0ms | 1× | 3 | exit |
ival-exp: 3.9s (12.7% of total)ival-pow: 3.5s (11.5% of total)const: 3.0s (9.7% of total)ival-cos: 2.5s (8% of total)adjust: 2.4s (7.8% of total)ival-mult: 2.0s (6.5% of total)ival-log: 1.8s (5.9% of total)ival-tan: 1.8s (5.9% of total)ival-sqrt: 1.5s (4.7% of total)ival-sub: 1.0s (3.4% of total)ival-add: 947.0ms (3.1% of total)ival-sin: 934.0ms (3% of total)ival-fmod: 822.0ms (2.7% of total)ival-<=: 774.0ms (2.5% of total)ival-sinh: 768.0ms (2.5% of total)ival-div: 732.0ms (2.4% of total)ival-pow2: 431.0ms (1.4% of total)ival-==: 410.0ms (1.3% of total)ival-acos: 394.0ms (1.3% of total)ival-hypot: 192.0ms (0.6% of total)ival-neg: 178.0ms (0.6% of total)ival-and: 144.0ms (0.5% of total)ival-atan: 99.0ms (0.3% of total)ival-true: 95.0ms (0.3% of total)exact: 83.0ms (0.3% of total)ival-assert: 78.0ms (0.3% of total)ival-<: 77.0ms (0.3% of total)ival-or: 50.0ms (0.2% of total)ival->=: 46.0ms (0.1% of total)ival->: 33.0ms (0.1% of total)| 160× | egg-herbie |
| 206× | iter limit |
| 114× | node limit |
| 50× | saturated |
| 150× | iter limit |
| 76× | node limit |
| 13× | fuel |
| 8× | unsound |
| 7× | done |
| 6× | saturated |
Compiled 11 954 to 5 088 computations (57.4% saved)
| 170× | iter limit |
| 53× | node limit |
| 15× | unsound |
| 5× | saturated |
| 4.7s | 5 529× | 1 | valid |
| 2.7s | 10 280× | 0 | valid |
| 1.7s | 1 446× | 2 | valid |
| 109.0ms | 236× | 1 | exit |
| 54.0ms | 348× | 0 | invalid |
| 32.0ms | 15× | 3 | valid |
| 31.0ms | 23× | 5 | exit |
| 15.0ms | 43× | 0 | exit |
Compiled 12 772 to 1 860 computations (85.4% saved)
ival-mult: 1.5s (20.1% of total)ival-div: 854.0ms (11.7% of total)adjust: 824.0ms (11.3% of total)ival-cos: 659.0ms (9% of total)ival-add: 596.0ms (8.1% of total)ival-sin: 375.0ms (5.1% of total)ival-sub: 366.0ms (5% of total)const: 318.0ms (4.3% of total)ival-pow: 315.0ms (4.3% of total)ival-tan: 255.0ms (3.5% of total)ival-log: 231.0ms (3.2% of total)ival-sqrt: 219.0ms (3% of total)ival-exp: 158.0ms (2.2% of total)ival-sinh: 143.0ms (2% of total)ival-pow2: 106.0ms (1.4% of total)ival-neg: 84.0ms (1.1% of total)ival-acos: 67.0ms (0.9% of total)ival-fmod: 65.0ms (0.9% of total)ival-asin: 61.0ms (0.8% of total)ival-cosh: 46.0ms (0.6% of total)ival-hypot: 33.0ms (0.5% of total)ival-pi: 19.0ms (0.3% of total)exact: 19.0ms (0.3% of total)ival-true: 15.0ms (0.2% of total)ival-assert: 8.0ms (0.1% of total)ival-cbrt: 7.0ms (0.1% of total)ival-atan: 3.0ms (0% of total)Compiled 1 234 039 to 120 090 computations (90.3% saved)
53 calls:
| 763.0ms | x |
| 566.0ms | a |
| 377.0ms | r |
| 373.0ms | b |
| 214.0ms | c |
Compiled 1 876 to 2 110 computations (-12.5% saved)
| 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)
| 20× | egg-herbie |
| 38× | iter limit |
| 27× | saturated |
| 15× | node limit |
Compiled 11 145 to 3 502 computations (68.6% saved)
390 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 95.0ms | x | @ | -inf | ((+ (/ (tan z) (+ (* (neg (tan z)) (tan y)) 1)) (- (/ (tan y) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (+ x (+ (/ (tan z) (+ (* (neg (tan z)) (tan y)) 1)) (- (/ (tan y) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)))) (/ (tan z) (+ (* (neg (tan z)) (tan y)) 1)) (tan z) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (- (/ (sin (+ z y)) (cos (+ z y))) a) (/ (sin (+ z y)) (cos (+ z y))) (+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (- (/ (sin (+ z y)) (cos (+ z y))) a) (/ (sin (+ z y)) (cos (+ z y))) (- (/ (/ (sin (+ z y)) x) (neg (cos (+ z y)))) (- 1 (/ (/ (sin a) x) (cos a)))) (+ x (/ (- (* (sin (+ z y)) (neg (cos a))) (* (cos (+ z y)) (neg (sin a)))) (* (cos (+ z y)) (neg (cos a))))) (* (- (/ (/ (sin (+ z y)) x) (neg (cos (+ z y)))) (- 1 (/ (/ (sin a) x) (cos a)))) (neg x)) (/ (/ (sin (+ z y)) x) (neg (cos (+ z y)))) (- (/ (tan y) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (tan y) (+ (* (neg (tan z)) (tan y)) 1)) (neg x) (sin (+ z y)) (cos (+ z y)) (sin (+ z y)) (cos (+ z y)) (sin (+ z y))) |
| 95.0ms | l | @ | 0 | ((/ 1 (/ 1 (pow l (exp w)))) (* (exp (neg w)) (/ 1 (/ 1 (pow l (exp w))))) (/ 1 (pow l (exp w))) (exp (neg w)) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (neg w) (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) (/ (exp (neg w)) (exp (* (neg (log l)) (exp w)))) (exp (* (neg (log l)) (exp w))) (pow l (exp w)) (exp w) (+ (* -1/6 w) 1/2) (* (+ (* -1/6 w) 1/2) w) (* (neg (log l)) (exp w)) (exp w)) |
| 79.0ms | w | @ | inf | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (neg w) (pow l (exp w)) (exp w)) |
| 59.0ms | z | @ | inf | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (+ (* z z) (* y y))) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y) (+ (* (/ z z) (* (/ (+ (* y y) (* x x)) z) 1/2)) z) (/ z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* (/ (+ (* y y) (* x x)) z) 1/2) (/ (+ (* y y) (* x x)) z)) |
| 57.0ms | z | @ | inf | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* (/ z z) (* (/ (+ (* y y) (* x x)) z) 1/2)) z) (+ (* (* (/ 1/2 z) x) x) z) (* (/ 1/2 z) x) (+ (* y (/ y z)) (/ (* x x) z)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* (/ z z) (* (+ (* y (/ y z)) (/ (* x x) z)) 1/2)) z) (/ z z) (+ (* (/ z z) (* (+ (* (/ x z) x) (* (/ y z) y)) 1/2)) z) (/ z z) (+ (* (/ x z) x) (* (/ y z) y)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* (* (+ (* z (/ z (* y y))) 1) y) y) (/ 1/2 z) (/ (* x x) z) (* (/ y z) y) (* (+ (* (/ x z) x) (* (/ y z) y)) 1/2) (/ z (* y y)) (* (+ (* z (/ z (* y y))) 1) y)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 579 | 0 |
cos.f64 | #f | sensitivity | 512 | 0 |
-.f64 | #f | cancellation | 337 | 0 |
sqrt.f64 | #f | uflow-rescue | 309 | 0 |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | n/o | 256 | 0 |
| ↳ | (-.f64 hi lo) | overflow | 256 | |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 256 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 244 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 183 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 123 | 11 |
*.f64 | #f | n*o | 50 | 0 |
*.f64 | #f | n*u | 38 | 0 |
*.f64 | #f | u*o | 20 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 13 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 57 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 57 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 42 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 56 | |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 12 | 0 |
| ↳ | (*.f64 a a) | overflow | 115 | |
| ↳ | (*.f64 b b) | overflow | 12 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 9 | 0 |
| ↳ | (sinh.f64 x) | overflow | 9 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 9 | |
cos.f64 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) x) | overflow | 1 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2187 | 254 |
| - | 684 | 1995 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2187 | 0 | 254 |
| - | 684 | 12 | 1983 |
| number | freq |
|---|---|
| 0 | 2249 |
| 1 | 2800 |
| 2 | 70 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 596.0ms | 2 724× | 1 | valid |
| 526.0ms | 6 712× | 0 | valid |
| 317.0ms | 692× | 2 | valid |
| 19.0ms | 112× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-tan: 131.0ms (13.6% of total)ival-sinh: 104.0ms (10.8% of total)ival-mult: 90.0ms (9.3% of total)ival-sqrt: 85.0ms (8.8% of total)ival-log: 79.0ms (8.2% of total)ival-cos: 76.0ms (7.9% of total)adjust: 72.0ms (7.4% of total)ival-exp: 46.0ms (4.8% of total)ival-div: 45.0ms (4.7% of total)ival-sin: 39.0ms (4% of total)ival-sub: 38.0ms (3.9% of total)ival-add: 35.0ms (3.6% of total)ival-fmod: 33.0ms (3.4% of total)ival-pow2: 21.0ms (2.2% of total)ival-acos: 20.0ms (2.1% of total)ival-hypot: 17.0ms (1.8% of total)ival-true: 9.0ms (0.9% of total)ival-pow: 8.0ms (0.8% of total)ival-atan: 7.0ms (0.7% of total)ival-neg: 5.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)exact: 2.0ms (0.2% of total)Compiled 95 304 to 45 630 computations (52.1% saved)
| 29× | left-value |
| 24× | binary-search |
| 24× | narrow-enough |
| 139.0ms | 584× | 1 | valid |
| 115.0ms | 1 352× | 0 | valid |
Compiled 6 626 to 5 474 computations (17.4% saved)
ival-tan: 51.0ms (27.6% of total)ival-pow2: 30.0ms (16.2% of total)ival-cos: 24.0ms (13% of total)ival-mult: 14.0ms (7.6% of total)adjust: 12.0ms (6.5% of total)ival-add: 11.0ms (6% of total)ival-sin: 9.0ms (4.9% of total)ival-pow: 7.0ms (3.8% of total)ival-div: 6.0ms (3.2% of total)ival-exp: 6.0ms (3.2% of total)ival-sub: 4.0ms (2.2% of total)ival-acos: 4.0ms (2.2% of total)ival-sqrt: 2.0ms (1.1% of total)ival-neg: 2.0ms (1.1% of total)ival-assert: 1.0ms (0.5% of total)ival-true: 1.0ms (0.5% of total)exact: 0.0ms (0% of total)Loading profile data...