Herbie run
| Date: | Friday, November 22nd, 2024 |
|---|---|
| Commit: | 97e637cb on bhargav-double-double |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024327 |
| 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 |
Time bar (total: 2.8min)
| 19.6s | 43 564× | 1 | valid |
| 9.7s | 6 507× | 5 | exit |
| 8.6s | 109 803× | 0 | valid |
| 4.8s | 11 753× | 2 | valid |
| 1.1s | 10 283× | 1 | exit |
| 386.0ms | 3 879× | 0 | invalid |
| 149.0ms | 1 445× | 0 | exit |
const: 9.2s (24.8% of total)ival-exp: 4.5s (12.2% of total)ival-pow: 3.5s (9.3% of total)ival-tan: 2.9s (7.7% of total)ival-cos: 2.8s (7.7% of total)adjust: 2.0s (5.5% of total)ival-mult: 1.8s (4.8% of total)ival-log: 1.7s (4.6% of total)ival-fmod: 1.0s (2.7% of total)ival-add: 946.0ms (2.6% of total)ival-sqrt: 900.0ms (2.4% of total)ival-<=: 894.0ms (2.4% of total)ival-sub: 889.0ms (2.4% of total)ival-div: 790.0ms (2.1% of total)ival-sinh: 707.0ms (1.9% of total)ival-sin: 677.0ms (1.8% of total)ival-pow2: 433.0ms (1.2% of total)ival-acos: 378.0ms (1% of total)ival-neg: 226.0ms (0.6% of total)ival-hypot: 142.0ms (0.4% of total)ival-and: 127.0ms (0.3% of total)ival-true: 105.0ms (0.3% of total)ival-==: 92.0ms (0.2% of total)exact: 83.0ms (0.2% of total)ival-assert: 80.0ms (0.2% of total)ival-atan: 71.0ms (0.2% of total)ival-<: 66.0ms (0.2% of total)ival-or: 41.0ms (0.1% of total)ival->=: 27.0ms (0.1% of total)ival->: 19.0ms (0.1% of total)| 125× | iter limit |
| 63× | node limit |
| 16× | fuel |
| 6× | saturated |
| 4× | unsound |
| 3× | done |
Compiled 6 944 to 3 624 computations (47.8% saved)
| 155× | iter limit |
| 61× | node limit |
| 6× | unsound |
| 5× | saturated |
| 159× | egg-herbie |
| 205× | iter limit |
| 84× | saturated |
| 80× | node limit |
| 8.7s | 11 160× | 0 | valid |
| 4.2s | 4 713× | 1 | valid |
| 2.6s | 1 156× | 2 | valid |
| 158.0ms | 558× | 0 | invalid |
| 74.0ms | 88× | 1 | invalid |
| 61.0ms | 243× | 0 | exit |
| 1.0ms | 2× | 5 | exit |
Compiled 25 202 to 3 637 computations (85.6% saved)
ival-mult: 7.8s (55.8% of total)ival-pow: 1.1s (7.7% of total)ival-div: 709.0ms (5.1% of total)adjust: 641.0ms (4.6% of total)ival-log: 623.0ms (4.5% of total)ival-add: 596.0ms (4.3% of total)ival-cos: 389.0ms (2.8% of total)ival-sin: 283.0ms (2% of total)ival-sinh: 282.0ms (2% of total)ival-sqrt: 252.0ms (1.8% of total)ival-sub: 239.0ms (1.7% of total)const: 201.0ms (1.4% of total)ival-tan: 197.0ms (1.4% of total)ival-exp: 196.0ms (1.4% of total)ival-neg: 144.0ms (1% of total)ival-pow2: 115.0ms (0.8% of total)ival-asin: 77.0ms (0.6% of total)ival-acos: 51.0ms (0.4% of total)exact: 22.0ms (0.2% of total)ival-hypot: 21.0ms (0.2% of total)ival-true: 16.0ms (0.1% of total)ival-pi: 15.0ms (0.1% of total)ival-assert: 8.0ms (0.1% of total)ival-atan: 3.0ms (0% of total)Compiled 1 350 677 to 149 592 computations (88.9% saved)
54 calls:
| 674.0ms | a |
| 552.0ms | x |
| 442.0ms | b |
| 421.0ms | r |
| 407.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 1 758 to 2 019 computations (-14.8% saved)
393 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.5s | x | @ | 0 | ((* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (sqrt (sqrt x)) (sqrt x) (* (pow x 3/4) (sqrt 2)) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt 2)) |
| 379.0ms | lo | @ | 0 | ((/ (- x lo) (- hi lo)) (+ (* (+ (* (- (/ 1 lo) (/ (/ x lo) lo)) (/ hi lo)) (- (/ 1 lo) (/ (/ x lo) lo))) hi) (- 1 (/ x lo))) (* (/ hi lo) (* (- 1 (/ x lo)) (/ hi lo))) (/ hi lo) (/ (- x lo) (- hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (* (/ (- x lo) hi) (/ (+ hi lo) hi)) (/ (- x lo) hi) (/ (- x lo) (- hi lo)) (+ (* (+ (* (- (/ 1 lo) (/ (/ x lo) lo)) (/ hi lo)) (- (/ 1 lo) (/ (/ x lo) lo))) hi) (- 1 (/ x lo))) (* (/ (/ (* (- 1 (/ x lo)) hi) lo) lo) hi) (/ (/ (* (- 1 (/ x lo)) hi) lo) lo) (+ (* lo (/ (* (/ (- x lo) hi) lo) hi)) (+ (* (/ (- x lo) hi) lo) (- x lo))) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) (- hi lo)) (/ (+ (* lo (/ (* (/ (- x lo) hi) lo) hi)) (+ (* (/ (- x lo) hi) lo) (- x lo))) hi) (* (- 1 (/ x lo)) (/ hi lo)) (/ (* (/ (- x lo) hi) lo) hi)) |
| 351.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (pow x 1/4) (* (pow x 3/4) (sqrt 2))) (pow x 1/4) (* (pow x 3/4) (sqrt 2))) |
| 164.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 155.0ms | x | @ | -inf | ((* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (sqrt (sqrt x)) (sqrt x) (* (pow x 3/4) (sqrt 2)) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt 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)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 610 | 0 |
cos.f64 | #f | sensitivity | 522 | 1 |
-.f64 | #f | cancellation | 508 | 0 |
sqrt.f64 | #f | uflow-rescue | 308 | 0 |
/.f64 | #f | n/o | 259 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 245 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 190 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 117 | 11 |
*.f64 | #f | n*o | 31 | 0 |
*.f64 | #f | n*u | 28 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 20 | 0 |
| ↳ | (*.f64 a a) | overflow | 124 | |
| ↳ | (*.f64 b b) | overflow | 20 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 19 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 59 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 77 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 68 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 54 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 16 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 68 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 49 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 57 | |
+.f64 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2180 | 28 |
| - | 879 | 1777 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2180 | 2 | 26 |
| - | 879 | 9 | 1768 |
| number | freq |
|---|---|
| 0 | 1805 |
| 1 | 2990 |
| 2 | 68 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 0 |
| - | 0 | 0 | 2 |
| 609.0ms | 2 488× | 1 | valid |
| 497.0ms | 6 672× | 0 | valid |
| 489.0ms | 568× | 2 | valid |
Compiled 1 806 to 714 computations (60.5% saved)
ival-log: 232.0ms (19% of total)ival-tan: 162.0ms (13.3% of total)ival-sqrt: 128.0ms (10.5% of total)ival-sin: 124.0ms (10.2% of total)ival-mult: 98.0ms (8% of total)ival-div: 96.0ms (7.9% of total)adjust: 70.0ms (5.7% of total)ival-cos: 60.0ms (4.9% of total)ival-sub: 42.0ms (3.4% of total)ival-pow2: 41.0ms (3.4% of total)ival-add: 39.0ms (3.2% of total)ival-sinh: 37.0ms (3% of total)ival-atan: 29.0ms (2.4% of total)ival-acos: 20.0ms (1.6% of total)ival-true: 9.0ms (0.7% of total)ival-exp: 8.0ms (0.7% of total)ival-pow: 8.0ms (0.7% of total)ival-hypot: 8.0ms (0.7% of total)ival-assert: 4.0ms (0.3% of total)ival-neg: 3.0ms (0.2% of total)exact: 2.0ms (0.2% of total)Compiled 85 505 to 44 592 computations (47.8% saved)
| 19× | egg-herbie |
| 37× | saturated |
| 36× | iter limit |
| 3× | node limit |
Compiled 9 593 to 4 164 computations (56.6% saved)
| 19× | binary-search |
| 14× | left-value |
| 19× | narrow-enough |
| 105.0ms | 692× | 1 | valid |
| 86.0ms | 1 292× | 0 | valid |
| 1.0ms | 15× | 0 | exit |
Compiled 5 297 to 4 317 computations (18.5% saved)
ival-cos: 32.0ms (23.2% of total)ival-sin: 18.0ms (13.1% of total)ival-mult: 17.0ms (12.4% of total)adjust: 16.0ms (11.6% of total)ival-exp: 10.0ms (7.3% of total)ival-div: 9.0ms (6.5% of total)ival-add: 8.0ms (5.8% of total)ival-pow2: 8.0ms (5.8% of total)ival-pow: 7.0ms (5.1% of total)ival-acos: 4.0ms (2.9% of total)ival-sqrt: 3.0ms (2.2% of total)ival-true: 2.0ms (1.5% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 1.0ms (0.7% of total)ival-sub: 1.0ms (0.7% of total)exact: 0.0ms (0% of total)Loading profile data...