Herbie run
| Date: | Wednesday, November 27th, 2024 |
|---|---|
| Commit: | a25f782f on bhargav-double-double |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024332 |
| 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: 5.7min)
| 33.6s | 285 419× | 0 | valid |
| 12.6s | 43 937× | 1 | valid |
| 8.2s | 17 008× | 2 | valid |
| 795.0ms | 4 174× | 0 | invalid |
| 347.0ms | 101× | 4 | exit |
| 244.0ms | 388× | 3 | valid |
| 213.0ms | 974× | 0 | exit |
| 96.0ms | 101× | 3 | exit |
| 6.0ms | 44× | 1 | exit |
ival-mult: 9.1s (22.1% of total)ival-add: 4.4s (10.7% of total)ival-div: 4.3s (10.3% of total)ival-sub: 3.7s (9% of total)const: 3.5s (8.4% of total)ival-pow: 3.4s (8.2% of total)ival-<=: 2.7s (6.5% of total)adjust: 2.7s (6.4% of total)ival-sin: 2.2s (5.2% of total)ival-cos: 1.5s (3.5% of total)ival-pow2: 698.0ms (1.7% of total)ival-exp: 498.0ms (1.2% of total)ival-sqrt: 477.0ms (1.2% of total)exact: 449.0ms (1.1% of total)ival-and: 357.0ms (0.9% of total)ival-neg: 346.0ms (0.8% of total)ival-==: 212.0ms (0.5% of total)ival-<: 191.0ms (0.5% of total)ival-atan: 187.0ms (0.5% of total)ival-true: 145.0ms (0.3% of total)ival-assert: 140.0ms (0.3% of total)ival-pi: 88.0ms (0.2% of total)ival-log1p: 82.0ms (0.2% of total)ival-tan: 79.0ms (0.2% of total)ival-expm1: 76.0ms (0.2% of total)ival-hypot: 17.0ms (0% of total)ival-if: 4.0ms (0% of total)ival-fabs: 4.0ms (0% of total)| 343× | egg-herbie |
| 440× | iter limit |
| 232× | node limit |
| 124× | saturated |
| 261× | iter limit |
| 173× | node limit |
| 27× | fuel |
| 14× | done |
| 9× | saturated |
Compiled 52 489 to 14 873 computations (71.7% saved)
| 298× | iter limit |
| 145× | node limit |
| 13× | saturated |
| 1× | unsound |
| 12.1s | 2 746× | 2 | valid |
| 8.2s | 30 155× | 0 | valid |
| 4.0s | 5 055× | 1 | valid |
| 300.0ms | 148× | 3 | valid |
| 83.0ms | 326× | 0 | invalid |
| 68.0ms | 209× | 0 | exit |
| 41.0ms | 12× | 5 | exit |
| 31.0ms | 5× | 4 | valid |
Compiled 80 621 to 8 775 computations (89.1% saved)
ival-sin: 8.3s (40.2% of total)ival-mult: 3.3s (15.8% of total)ival-add: 1.7s (8% of total)ival-pow: 1.6s (7.8% of total)ival-div: 1.5s (7.2% of total)adjust: 1.2s (5.8% of total)ival-sub: 777.0ms (3.7% of total)ival-tan: 536.0ms (2.6% of total)const: 524.0ms (2.5% of total)ival-sqrt: 223.0ms (1.1% of total)ival-cos: 221.0ms (1.1% of total)ival-neg: 203.0ms (1% of total)ival-pow2: 154.0ms (0.7% of total)ival-pi: 141.0ms (0.7% of total)ival-exp: 107.0ms (0.5% of total)ival-expm1: 69.0ms (0.3% of total)exact: 61.0ms (0.3% of total)ival-true: 33.0ms (0.2% of total)ival-log: 26.0ms (0.1% of total)ival-log1p: 22.0ms (0.1% of total)ival-assert: 17.0ms (0.1% of total)ival-atan: 10.0ms (0% of total)Compiled 4 466 825 to 354 487 computations (92.1% saved)
| 41× | egg-herbie |
| 80× | iter limit |
| 54× | saturated |
| 30× | node limit |
Compiled 67 513 to 9 879 computations (85.4% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 1504 | 5 |
+.f64 | #f | cancellation | 403 | 86 |
-.f64 | (-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) | oflow-left | 218 | 0 |
sqrt.f64 | #f | oflow-rescue | 214 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | sensitivity | 175 | 0 |
/.f64 | #f | o/o | 152 | 0 |
/.f64 | #f | n/o | 150 | 0 |
/.f64 | #f | u/u | 108 | 0 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | sensitivity | 90 | 0 |
-.f64 | #f | nan-rescue | 68 | 0 |
/.f64 | #f | o/n | 44 | 0 |
+.f64 | #f | nan-rescue | 43 | 0 |
*.f64 | #f | n*u | 30 | 0 |
*.f64 | #f | n*o | 29 | 0 |
sqrt.f64 | #f | uflow-rescue | 24 | 0 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | oflow-rescue | 19 | 0 |
| ↳ | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | overflow | 37 | |
| ↳ | (/.f64 i n) | overflow | 19 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 i n)) | overflow | 19 | |
/.f64 | #f | n/u | 16 | 0 |
/.f64 | #f | u/n | 8 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3670 | 256 |
| - | 378 | 6192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3670 | 155 | 101 |
| - | 378 | 192 | 6000 |
| number | freq |
|---|---|
| 0 | 6448 |
| 1 | 3063 |
| 2 | 938 |
| 3 | 47 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 29 | 1 | 0 |
| - | 2 | 0 | 9 |
| 1.9s | 16 238× | 0 | valid |
| 1.4s | 3 342× | 1 | valid |
| 788.0ms | 1 370× | 2 | valid |
| 161.0ms | 42× | 3 | valid |
Compiled 14 024 to 4 008 computations (71.4% saved)
ival-mult: 921.0ms (32.2% of total)ival-add: 423.0ms (14.8% of total)ival-div: 338.0ms (11.8% of total)adjust: 209.0ms (7.3% of total)ival-sin: 196.0ms (6.8% of total)ival-pow: 192.0ms (6.7% of total)ival-sub: 156.0ms (5.4% of total)ival-neg: 116.0ms (4% of total)ival-cos: 70.0ms (2.4% of total)const: 69.0ms (2.4% of total)ival-sqrt: 61.0ms (2.1% of total)ival-exp: 28.0ms (1% of total)ival-true: 21.0ms (0.7% of total)exact: 20.0ms (0.7% of total)ival-pow2: 16.0ms (0.6% of total)ival-assert: 10.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-log1p: 5.0ms (0.2% of total)ival-tan: 4.0ms (0.1% of total)ival-expm1: 4.0ms (0.1% of total)ival-pi: 2.0ms (0.1% of total)94 calls:
| 678.0ms | x |
| 391.0ms | b |
| 389.0ms | (+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) #s(literal 6 binary64)))) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))))) (*.f64 (*.f64 x1 x1) x1)) x1) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))))) |
| 354.0ms | (*.f64 (cos.f64 x) (exp.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
| 347.0ms | d |
Compiled 8 560 to 5 638 computations (34.1% saved)
Compiled 155 954 to 66 669 computations (57.3% saved)
| 43× | search |
| 2× | random |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 54.5% | 45.5% | 0% | 0% | 0% | 0 |
| 21.4% | 11.7% | 42.9% | 45.5% | 0% | 0% | 0% | 1 |
| 37.4% | 20.4% | 34.1% | 45.5% | 0% | 0% | 0% | 2 |
| 48.7% | 26.2% | 27.7% | 45.5% | 0% | 0.6% | 0% | 3 |
| 57.7% | 30.7% | 22.6% | 45.5% | 0% | 1.2% | 0% | 4 |
| 71.2% | 37.7% | 15.3% | 45.5% | 0% | 1.6% | 0% | 5 |
| 72.9% | 38.4% | 14.3% | 45.5% | 0% | 1.8% | 0% | 6 |
| 77.9% | 40.7% | 11.6% | 45.5% | 0% | 2.2% | 0% | 7 |
| 81.5% | 42.6% | 9.7% | 45.5% | 0% | 2.3% | 0% | 8 |
| 84.1% | 43.8% | 8.3% | 45.5% | 0% | 2.5% | 0% | 9 |
| 86.2% | 44.6% | 7.2% | 45.5% | 0% | 2.7% | 0% | 10 |
| 88.2% | 45.6% | 6.1% | 45.5% | 0% | 2.8% | 0% | 11 |
| 89.1% | 45.9% | 5.6% | 45.5% | 0% | 2.9% | 0% | 12 |
Compiled 1 402 to 721 computations (48.6% saved)
873 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 197.0ms | x | @ | inf | ((* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ (- 0 (* (* (- eps 1) x) (* (- eps 1) x))) (- 0 (* (- eps 1) x))) (- 0 (* (* (- eps 1) x) (* (- eps 1) x))) (- 0 (* (- eps 1) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* (* x x) -1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (+ (* (+ (* -1/8 x) 1/3) x) -1/2) (* x x)) 1) (+ (* (+ (* -1/8 x) 1/3) x) -1/2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (- (* (+ 1 (/ 1 eps)) (exp (/ (- 0 (* (* (- eps 1) x) (* (- eps 1) x))) (- 0 (* (- eps 1) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (* (- eps 1) x) (* (- eps 1) x)) (* (+ 1 (/ 1 eps)) (exp (/ (- 0 (* (* (- eps 1) x) (* (- eps 1) x))) (- 0 (* (- eps 1) x))))) (* x x) (+ (* -1/8 x) 1/3) (exp x) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x)))) |
| 86.0ms | x | @ | inf | ((/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (+ (* (* -11/15120 x) x) -23/360) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (- (/ x (tan x)) (cos x)) (/ x (tan x)) (tan x) (cos x) (+ (* -11/15120 (* x x)) -23/360) (* -11/15120 x)) |
| 85.0ms | a | @ | inf | ((/ 1 (/ (+ (* d d) (* c c)) (+ (* a c) (* b d)))) (/ (+ (* d d) (* c c)) (+ (* a c) (* b d))) (+ (* d d) (* c c)) (* c c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* b d) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ b -1) (* (/ b -1) (/ -1 (+ (* d d) (* c c)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (* (/ b -1) (/ -1 (+ (* d d) (* c c)))) d) (+ (* a c) (* b d)) (* b d) (/ -1 (+ (* d d) (* c c)))) |
| 61.0ms | a | @ | -inf | ((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ d c) (+ (* d a) (* (+ c b) a)) (* (+ c b) a) (+ c b)) |
| 56.0ms | b | @ | -inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* (neg a) d) (+ (* (/ (/ b (+ (* d d) (* c c))) a) c) (/ (neg d) (+ (* d d) (* c c)))) (* (+ (* (/ (/ b (+ (* d d) (* c c))) a) c) (/ (neg d) (+ (* d d) (* c c)))) a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (/ b (+ (* d d) (* c c))) a) (+ (* c c) (* d d)) (neg a) (* c c) (/ (neg d) (+ (* d d) (* c c))) (/ b (+ (* d d) (* c c)))) |
| 236× | binary-search |
| 77× | left-value |
| 216× | narrow-enough |
| 20× | predicate-same |
| 1.7s | 12 561× | 0 | valid |
| 108.0ms | 446× | 1 | valid |
| 71.0ms | 251× | 2 | valid |
| 32.0ms | 452× | 0 | invalid |
| 12.0ms | 22× | 3 | valid |
| 4.0ms | 20× | 1 | exit |
| 3.0ms | 24× | 0 | exit |
Compiled 167 994 to 84 453 computations (49.7% saved)
ival-mult: 511.0ms (39.8% of total)ival-add: 344.0ms (26.8% of total)ival-div: 150.0ms (11.7% of total)ival-sub: 103.0ms (8% of total)ival-pow: 50.0ms (3.9% of total)ival-neg: 30.0ms (2.3% of total)ival-exp: 26.0ms (2% of total)adjust: 24.0ms (1.9% of total)ival-sqrt: 17.0ms (1.3% of total)ival-true: 11.0ms (0.9% of total)exact: 9.0ms (0.7% of total)ival-assert: 6.0ms (0.5% of total)ival-expm1: 4.0ms (0.3% of total)ival-pi: 1.0ms (0.1% of total)Loading profile data...