Herbie run
| Date: | Wednesday, October 9th, 2024 |
|---|---|
| Commit: | b5a8073d on reorg-report-page |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024283 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 4.5min)
| 29.8s | 41 443× | 2 | valid |
| 25.6s | 146 021× | 0 | invalid |
| 19.5s | 92 159× | 1 | valid |
| 8.8s | 4 712× | 5 | exit |
| 8.7s | 94 568× | 0 | valid |
| 2.0s | 2 996× | 3 | valid |
| 441.0ms | 2 268× | 1 | exit |
| 395.0ms | 4 184× | 0 | exit |
| 34.0ms | 7× | 4 | exit |
| 8.0ms | 4× | 3 | exit |
| 5.0ms | 2× | 4 | valid |
| 3.0ms | 5× | 2 | exit |
ival-tan: 13.2s (16.9% of total)ival-pow: 9.0s (11.5% of total)ival-mult: 6.0s (7.7% of total)adjust: 5.5s (7% of total)const: 4.9s (6.3% of total)ival-cos: 4.3s (5.6% of total)ival-add: 4.0s (5.1% of total)ival-sub: 3.9s (4.9% of total)ival-div: 3.8s (4.9% of total)ival-sin: 3.6s (4.6% of total)ival-<=: 3.2s (4.1% of total)ival-log: 3.2s (4.1% of total)ival-exp: 2.5s (3.1% of total)ival-fabs: 2.1s (2.7% of total)ival-expm1: 1.9s (2.4% of total)ival-<: 1.6s (2.1% of total)ival-sqrt: 1.3s (1.6% of total)ival-log1p: 1.2s (1.5% of total)ival-and: 631.0ms (0.8% of total)ival-fmin: 568.0ms (0.7% of total)exact: 344.0ms (0.4% of total)ival-atan: 334.0ms (0.4% of total)ival-neg: 321.0ms (0.4% of total)ival->: 302.0ms (0.4% of total)ival-cbrt: 262.0ms (0.3% of total)ival-assert: 157.0ms (0.2% of total)ival-true: 68.0ms (0.1% of total)| 242× | egg-herbie |
| 318× | iter limit |
| 168× | node limit |
| 77× | saturated |
| 193× | iter limit |
| 131× | node limit |
| 22× | fuel |
| 6× | done |
| 2× | saturated |
Compiled 15 277 to 6 932 computations (54.6% saved)
| 214× | iter limit |
| 106× | node limit |
| 3× | saturated |
| 6.8s | 5 492× | 2 | valid |
| 6.0s | 9 670× | 1 | valid |
| 3.0s | 11 395× | 0 | valid |
| 352.0ms | 378× | 3 | valid |
| 116.0ms | 386× | 0 | invalid |
| 44.0ms | 13× | 5 | exit |
| 25.0ms | 58× | 0 | exit |
Compiled 48 542 to 6 936 computations (85.7% saved)
ival-mult: 2.0s (16.1% of total)adjust: 1.8s (14.3% of total)ival-div: 1.6s (13% of total)ival-tan: 1.1s (8.4% of total)ival-add: 1.0s (8.1% of total)ival-sub: 683.0ms (5.4% of total)ival-log: 661.0ms (5.3% of total)const: 619.0ms (4.9% of total)ival-pow: 615.0ms (4.9% of total)ival-cos: 556.0ms (4.4% of total)ival-log1p: 385.0ms (3.1% of total)ival-exp: 336.0ms (2.7% of total)ival-sin: 332.0ms (2.6% of total)ival-sqrt: 244.0ms (1.9% of total)ival-neg: 134.0ms (1.1% of total)ival-cosh: 131.0ms (1% of total)ival-pow2: 115.0ms (0.9% of total)ival-cbrt: 63.0ms (0.5% of total)ival-expm1: 62.0ms (0.5% of total)exact: 45.0ms (0.4% of total)ival-true: 24.0ms (0.2% of total)ival-atan2: 16.0ms (0.1% of total)ival-assert: 12.0ms (0.1% of total)ival-atan: 9.0ms (0.1% of total)ival-fabs: 4.0ms (0% of total)Compiled 3 845 490 to 294 110 computations (92.4% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4122 | 27 |
log.f64 | #f | sensitivity | 763 | 2 |
/.f64 | #f | u/u | 449 | 0 |
sqrt.f64 | #f | oflow-rescue | 384 | 0 |
+.f64 | #f | cancellation | 356 | 1 |
/.f64 | #f | u/n | 122 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 60 | 0 |
sqrt.f64 | #f | uflow-rescue | 34 | 0 |
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | n/u | 25 | 0 |
| ↳ | (*.f64 b eps) | underflow | 154 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 143 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 154 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 232 | |
| ↳ | (*.f64 a eps) | underflow | 143 | |
-.f64 | #f | nan-rescue | 12 | 0 |
exp.f64 | #f | sensitivity | 2 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 2 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 2 | |
| ↳ | (exp.f64 x) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 2 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 1 | 0 |
| ↳ | (*.f64 x x) | overflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5230 | 22 |
| - | 120 | 1796 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5230 | 18 | 4 |
| - | 120 | 11 | 1785 |
| number | freq |
|---|---|
| 0 | 1818 |
| 1 | 4564 |
| 2 | 642 |
| 3 | 92 |
| 4 | 52 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.9s | 2 640× | 2 | valid |
| 1.1s | 5 614× | 1 | valid |
| 493.0ms | 5 858× | 0 | valid |
| 148.0ms | 224× | 3 | valid |
Compiled 3 034 to 980 computations (67.7% saved)
ival-tan: 652.0ms (21.8% of total)ival-exp: 378.0ms (12.7% of total)adjust: 294.0ms (9.9% of total)ival-div: 247.0ms (8.3% of total)ival-cos: 245.0ms (8.2% of total)ival-log: 234.0ms (7.8% of total)ival-sin: 196.0ms (6.6% of total)ival-sub: 180.0ms (6% of total)ival-mult: 118.0ms (4% of total)ival-pow: 109.0ms (3.7% of total)ival-add: 88.0ms (2.9% of total)ival-log1p: 75.0ms (2.5% of total)ival-sqrt: 58.0ms (1.9% of total)ival-expm1: 26.0ms (0.9% of total)ival-cbrt: 25.0ms (0.8% of total)ival-atan: 19.0ms (0.6% of total)ival-true: 13.0ms (0.4% of total)ival-neg: 11.0ms (0.4% of total)exact: 8.0ms (0.3% of total)ival-assert: 6.0ms (0.2% of total)Compiled 118 928 to 58 493 computations (50.8% saved)
| 28× | egg-herbie |
| 56× | iter limit |
| 50× | saturated |
| 6× | node limit |
Compiled 18 880 to 5 365 computations (71.6% saved)
501 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | x | @ | inf | ((* (/ (+ (* (* (cbrt x) x) 1/3) (+ (* 5/81 (pow (cbrt x) -2)) (* -1/9 (cbrt x)))) (neg x)) (/ -1 x)) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (+ (* 5/81 (pow (cbrt x) -2)) (* -1/9 (cbrt x)))) (neg x)) (* -1/3 (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) (/ 1 (/ (neg x) (* (+ (* (cbrt (pow x 4)) 1/3) (+ (* (cbrt (/ (/ 1 x) x)) 5/81) (* -1/9 (cbrt x)))) (/ -1 x)))) (/ (neg x) (* (+ (* (cbrt (pow x 4)) 1/3) (+ (* (cbrt (/ (/ 1 x) x)) 5/81) (* -1/9 (cbrt x)))) (/ -1 x))) (* (+ (* (cbrt (pow x 4)) 1/3) (+ (* (cbrt (/ (/ 1 x) x)) 5/81) (* -1/9 (cbrt x)))) (/ -1 x)) (- (cbrt (+ x 1)) (cbrt x)) (- (/ 1 (cbrt (/ 1 (+ 1 x)))) (cbrt x)) (/ 1 (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (/ 1 (+ 1 x)) (* (/ (+ (* (* (cbrt x) x) 1/3) (+ (* 5/81 (pow (cbrt x) -2)) (* -1/9 (cbrt x)))) (neg x)) (/ -1 x)) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (+ (* 5/81 (pow (cbrt x) -2)) (* -1/9 (cbrt x)))) (neg x)) (/ (+ (* (* -1/3 x) (cbrt (pow x 4))) (* (cbrt x) (+ (* 1/9 x) -5/81))) (* x x)) (cbrt x) (+ (* (cbrt (pow x 4)) 1/3) (+ (* (cbrt (/ (/ 1 x) x)) 5/81) (* -1/9 (cbrt x)))) (cbrt (pow x 4)) (+ (* (* -1/3 x) (cbrt (pow x 4))) (* (cbrt x) (+ (* 1/9 x) -5/81)))) |
| 91.0ms | n | @ | 0 | ((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+ n 1) (* (+ n 1) (log (+ n 1))) (* n (log n)) (log n)) |
| 84.0ms | N | @ | -inf | ((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ (/ 1 N) 1) (/ 1 N) (+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 2) (+ (* (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (/ (pow (log (+ 1 N)) 3) (+ (log (+ 1 N)) (log N)))) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (pow (log (+ 1 N)) 3) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (pow (log N) 3) (pow (log N) 6) (pow (log (+ 1 N)) 4) (pow (log N) 4)) |
| 73.0ms | n | @ | 0 | ((log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (+ 1 (/ (- (/ 1/3 x) 1/2) x)) x) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (* (neg (- (log (+ 1 x)) (log x))) (/ -1 n)) (neg (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log (+ 1 x)) (log x)) (pow x (/ 1 n)) (/ 1/3 x) (log x)) |
| 62.0ms | x | @ | 0 | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- 1/2 (/ 3/8 x)) x) (- 1/2 (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (/ (- (+ x 1) (sqrt (* (+ x 1) x))) (+ x 1)) (* (+ x 1) x) (/ (/ (- (+ x 1) (sqrt (* (+ x 1) x))) (+ x 1)) (sqrt x)) (- (+ x 1) (sqrt (* (+ x 1) x))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ (- 1 x) (sqrt x)) (sqrt (* (+ x 1) x))) |
43 calls:
| 967.0ms | x |
| 393.0ms | eps |
| 319.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 228.0ms | (/.f64 #s(literal 1 binary64) n) |
| 146.0ms | a |
Compiled 1 996 to 1 884 computations (5.6% saved)
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 7.4% | 4.5% | 56.6% | 38.9% | 0% | 0% | 0% | 1 |
| 22.3% | 13.6% | 47.5% | 38.9% | 0% | 0% | 0% | 2 |
| 40.2% | 23.5% | 34.9% | 38.9% | 0% | 2.7% | 0% | 3 |
| 53.4% | 31.1% | 27.2% | 38.9% | 0% | 2.8% | 0% | 4 |
| 63% | 36.3% | 21.3% | 38.9% | 0% | 3.6% | 0% | 5 |
| 65.9% | 37.5% | 19.4% | 38.9% | 0% | 4.2% | 0% | 6 |
| 70.4% | 38.8% | 16.3% | 38.9% | 0% | 6% | 0% | 7 |
| 73.6% | 40.2% | 14.4% | 38.9% | 0% | 6.5% | 0% | 8 |
| 76.3% | 40.9% | 12.7% | 38.9% | 0% | 7.5% | 0% | 9 |
| 78.4% | 41.4% | 11.4% | 38.9% | 0% | 8.3% | 0% | 10 |
| 81.1% | 42.4% | 9.9% | 38.9% | 0% | 8.8% | 0% | 11 |
| 82.3% | 42.7% | 9.2% | 38.9% | 0% | 9.3% | 0% | 12 |
Compiled 483 to 337 computations (30.2% saved)
| 72× | binary-search |
| 32× | left-value |
| 72× | narrow-enough |
| 537.0ms | 4 167× | 0 | valid |
| 114.0ms | 519× | 1 | valid |
| 100.0ms | 249× | 2 | valid |
| 62.0ms | 806× | 0 | invalid |
| 42.0ms | 131× | 0 | exit |
| 2.0ms | 9× | 3 | valid |
Compiled 26 495 to 19 949 computations (24.7% saved)
ival-pow: 132.0ms (24.3% of total)ival-mult: 118.0ms (21.7% of total)ival-sub: 83.0ms (15.3% of total)ival-div: 49.0ms (9% of total)ival-neg: 33.0ms (6.1% of total)adjust: 29.0ms (5.3% of total)ival-sqrt: 29.0ms (5.3% of total)ival-add: 23.0ms (4.2% of total)ival-cos: 22.0ms (4.1% of total)ival-sin: 10.0ms (1.8% of total)ival-true: 4.0ms (0.7% of total)ival-expm1: 3.0ms (0.6% of total)exact: 3.0ms (0.6% of total)ival-exp: 2.0ms (0.4% of total)ival-assert: 2.0ms (0.4% of total)Loading profile data...