Herbie run
| Date: | Saturday, May 11th, 2024 |
|---|---|
| Commit: | 66dd3019 on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024132 |
| 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: 17.9min)
| 2.1min | 25560× | 5 | exit |
| 1.2min | 129796× | 1 | valid |
| 43.2s | 270870× | 0 | valid |
| 23.9s | 8146× | 3 | valid |
| 20.8s | 19120× | 2 | valid |
| 13.6s | 49290× | 0 | unsamplable |
| 10.3s | 1372× | 4 | valid |
| 3.7s | 18852× | 0 | invalid |
| 2.6s | 10989× | 1 | invalid |
| 1.2s | 1735× | 2 | invalid |
| 227.0ms | 8× | 5 | valid |
| 180.0ms | 60× | 1 | unsamplable |
| 165.0ms | 852× | 0 | precondition |
| 17.0ms | 26× | 3 | invalid |
ival-pow: 2.1min (44.5% of total)ival-mult: 27.8s (9.9% of total)ival-sin: 24.9s (8.9% of total)ival-cos: 22.4s (8% of total)ival-div: 17.0s (6.1% of total)backward-pass: 10.1s (3.6% of total)ival-sub: 9.9s (3.5% of total)ival-add: 9.7s (3.4% of total)ival-exp: 7.5s (2.7% of total)ival-log: 6.3s (2.2% of total)ival-sqrt: 4.7s (1.7% of total)ival-neg: 4.2s (1.5% of total)ival-<: 3.9s (1.4% of total)...c/correct-round.rkt:119:19: 2.0s (0.7% of total)const: 1.1s (0.4% of total)ival-atan2: 885.0ms (0.3% of total)ival-tan: 753.0ms (0.3% of total)ival-pi: 705.0ms (0.3% of total)ival-and: 427.0ms (0.2% of total)ival-atan: 402.0ms (0.1% of total)ival-cbrt: 389.0ms (0.1% of total)ival-acos: 382.0ms (0.1% of total)ival-<=: 261.0ms (0.1% of total)ival-fabs: 194.0ms (0.1% of total)ival-asin: 140.0ms (0% of total)ival-==: 2.0ms (0% of total)ival-or: 0.0ms (0% of total)| 442× | egg-herbie |
| 195726× | fma-define |
| 126783× | fma-neg |
| 101016× | distribute-lft-in |
| 94223× | times-frac |
| 93933× | associate-*r* |
| 125× | saturated |
| 316× | node limit |
| 1× | unsound |
| 88199× | fma-define |
| 69870× | log1p-expm1-u |
| 56223× | expm1-log1p-u |
| 51124× | fma-neg |
| 50573× | distribute-lft-in |
| 15× | saturated |
| 42× | fuel |
| 256× | node limit |
| 5× | unsound |
| 9× | done |
Compiled 68083 to 19991 computations (70.6% saved)
| 25.7s | 12959× | 1 | valid |
| 21.2s | 2425× | 5 | exit |
| 15.6s | 27671× | 0 | valid |
| 7.3s | 2490× | 2 | valid |
| 4.2s | 522× | 3 | valid |
| 2.5s | 3634× | 0 | invalid |
| 1.4s | 557× | 1 | invalid |
| 812.0ms | 48× | 4 | valid |
| 53.0ms | 125× | 0 | unsamplable |
| 2.0ms | 1× | 2 | invalid |
Compiled 93387 to 7394 computations (92.1% saved)
ival-mult: 10.4s (19% of total)ival-sin: 8.1s (14.8% of total)ival-pow: 7.9s (14.4% of total)ival-cos: 6.0s (10.9% of total)backward-pass: 4.8s (8.7% of total)ival-div: 3.9s (7% of total)ival-add: 2.1s (3.9% of total)ival-log: 1.6s (2.9% of total)ival-sub: 1.4s (2.6% of total)ival-exp: 1.4s (2.5% of total)...c/correct-round.rkt:119:19: 1.2s (2.1% of total)ival-sqrt: 1.2s (2.1% of total)ival-fma: 844.0ms (1.5% of total)ival-hypot: 628.0ms (1.1% of total)ival-atan2: 576.0ms (1.1% of total)ival-cbrt: 547.0ms (1% of total)ival-log1p: 474.0ms (0.9% of total)ival-neg: 429.0ms (0.8% of total)ival-atan: 386.0ms (0.7% of total)ival-expm1: 282.0ms (0.5% of total)ival-tan: 227.0ms (0.4% of total)const: 214.0ms (0.4% of total)ival-acos: 150.0ms (0.3% of total)ival-pi: 96.0ms (0.2% of total)ival-fabs: 59.0ms (0.1% of total)ival-asin: 40.0ms (0.1% of total)ival-e: 12.0ms (0% of total)143 calls:
| 4.2s | phi2 |
| 4.0s | phi1 |
| 3.6s | lambda1 |
| 3.2s | lambda2 |
| 2.6s | a |
Compiled 13566 to 8838 computations (34.9% saved)
Compiled 561394 to 280014 computations (50.1% saved)
| 194× | batch-egg-rewrite |
| 121981× | log1p-expm1-u |
| 90041× | expm1-log1p-u |
| 51689× | pow1 |
| 47113× | add-exp-log |
| 44110× | add-log-exp |
| 190× | node limit |
| 4× | unsound |
Compiled 8995290 to 840512 computations (90.7% saved)
17043 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 569.0ms | b | @ | -inf | (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
| 558.0ms | x-scale | @ | -inf | (/ (sqrt (* (* b (* (pow a 2) (neg b))) (* (* 8 (* b (/ (* (pow a 2) (neg b)) (pow (* x-scale y-scale) 2)))) (+ (/ (+ (pow (* a (sin (* angle (/ (PI) 180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (pow x-scale 2)) (- (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (pow y-scale 2)) (sqrt (+ (* (- (/ (+ (pow (* a (sin (* angle (/ (PI) 180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (pow x-scale 2)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (pow y-scale 2))) (- (/ (+ (pow (* a (sin (* angle (/ (PI) 180)))) 2) (pow (* b (cos (* angle (/ (PI) 180)))) 2)) (pow x-scale 2)) (/ (+ (pow (* a (cos (* angle (/ (PI) 180)))) 2) (pow (* b (sin (* angle (/ (PI) 180)))) 2)) (pow y-scale 2)))) (* (* (* 2 (- (pow b 2) (pow a 2))) (/ (* (sin (* angle (/ (PI) 180))) (cos (* angle (/ (PI) 180)))) (* x-scale y-scale))) (* (* 2 (- (pow b 2) (pow a 2))) (/ (* (sin (* angle (/ (PI) 180))) (cos (* angle (/ (PI) 180)))) (* x-scale y-scale))))))))))) (* b (/ (* (pow a 2) (neg b)) (pow (* x-scale y-scale) 2)))) |
| 441.0ms | h | @ | 0 | (+ (cbrt (* (/ 1/2 a) (- (sqrt (- (* g g) (* h h))) g))) (cbrt (* (+ g (sqrt (- (* g g) (* h h)))) (/ -1/2 a)))) |
| 431.0ms | y-scale | @ | -inf | (+ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (pow x-scale 2)) (+ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (pow y-scale 2)) (sqrt (+ (pow (- (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (pow x-scale 2)) (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (pow y-scale 2))) 2) (pow (/ (* (* 2 (- (pow b 2) (pow a 2))) (* (sin (* (/ angle 180) (PI))) (cos (* (/ angle 180) (PI))))) (* x-scale y-scale)) 2))))) |
| 373.0ms | x-scale | @ | 0 | (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow y-scale 2)) (/ (* (pow a 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow x-scale 2))) (sqrt (+ (* 4 (/ (* (pow a 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (* (pow a 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow x-scale 2)) (/ (* (* (pow (cbrt (pow a 2)) 2) (cbrt (pow a 2))) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow y-scale 2))) 2)))))) |
| 363× | binary-search |
| 49× | left-value |
| 6× | predicate-same |
| 357× | narrow-enough |
| 8.5s | 12205× | 1 | valid |
| 5.8s | 27629× | 0 | valid |
| 3.3s | 1496× | 3 | valid |
| 2.5s | 2613× | 2 | valid |
| 566.0ms | 1287× | 0 | invalid |
| 530.0ms | 105× | 4 | valid |
| 0.0ms | 8× | 0 | unsamplable |
Compiled 112559 to 77783 computations (30.9% saved)
ival-sin: 3.8s (21.6% of total)ival-mult: 3.2s (18.2% of total)ival-cos: 3.0s (17% of total)ival-pow: 1.6s (9.3% of total)ival-sub: 1.6s (9% of total)ival-div: 1.0s (5.8% of total)backward-pass: 847.0ms (4.8% of total)ival-add: 781.0ms (4.4% of total)ival-sqrt: 590.0ms (3.3% of total)ival-atan2: 250.0ms (1.4% of total)ival-atan: 148.0ms (0.8% of total)ival-tan: 136.0ms (0.8% of total)ival-acos: 135.0ms (0.8% of total)ival-neg: 113.0ms (0.6% of total)const: 88.0ms (0.5% of total)ival-pi: 86.0ms (0.5% of total)ival-log: 79.0ms (0.4% of total)ival-exp: 76.0ms (0.4% of total)ival-asin: 21.0ms (0.1% of total)ival-fabs: 19.0ms (0.1% of total)| 53× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 79.4% | 20.6% | 0% | 0% | 0% | 0 |
| 14.8% | 11.8% | 67.6% | 20.6% | 0% | 0% | 0% | 1 |
| 22.6% | 17.7% | 60.4% | 21% | 0% | 0.9% | 0% | 2 |
| 32.7% | 24.7% | 50.8% | 21.2% | 0% | 3.3% | 0% | 3 |
| 39.8% | 29.8% | 45% | 21.2% | 0% | 4% | 0% | 4 |
| 45.4% | 33.8% | 40.6% | 21.2% | 0% | 4.5% | 0% | 5 |
| 48.4% | 35.7% | 38% | 21.2% | 0% | 5.1% | 0% | 6 |
| 51.8% | 37.8% | 35.2% | 21.2% | 0% | 5.7% | 0.1% | 7 |
| 53.5% | 38.9% | 33.8% | 21.3% | 0% | 6% | 0.1% | 8 |
| 56.4% | 40.6% | 31.4% | 21.3% | 0% | 6.6% | 0.2% | 9 |
| 57.7% | 41.4% | 30.3% | 21.3% | 0% | 6.8% | 0.2% | 10 |
| 59.8% | 42.7% | 28.7% | 21.3% | 0% | 7.1% | 0.3% | 11 |
| 61.3% | 43.5% | 27.5% | 21.3% | 0% | 7.5% | 0.3% | 12 |
Compiled 1919 to 947 computations (50.7% saved)
ival-mult: 4.9s (30% of total)ival-pow: 2.6s (15.8% of total)ival-cos: 1.8s (10.9% of total)ival-sin: 1.3s (7.8% of total)ival-div: 1.2s (7.2% of total)ival-sub: 1.1s (6.6% of total)ival-add: 970.0ms (6% of total)ival-sqrt: 694.0ms (4.3% of total)ival-neg: 329.0ms (2% of total)...c/correct-round.rkt:119:19: 281.0ms (1.7% of total)ival-<: 253.0ms (1.6% of total)ival-exp: 201.0ms (1.2% of total)ival-fabs: 174.0ms (1.1% of total)ival-atan2: 132.0ms (0.8% of total)const: 94.0ms (0.6% of total)ival-pi: 68.0ms (0.4% of total)ival-tan: 54.0ms (0.3% of total)ival-and: 54.0ms (0.3% of total)ival-atan: 53.0ms (0.3% of total)ival-log: 46.0ms (0.3% of total)ival-acos: 43.0ms (0.3% of total)ival-asin: 34.0ms (0.2% of total)backward-pass: 31.0ms (0.2% of total)ival-cbrt: 17.0ms (0.1% of total)ival-<=: 3.0ms (0% of total)ival-==: 1.0ms (0% of total)ival-or: 0.0ms (0% of total)| 5.6s | 8396× | 1 | valid |
| 3.2s | 1880× | 2 | valid |
| 2.7s | 15664× | 0 | valid |
| 2.7s | 596× | 3 | valid |
| 1.1s | 88× | 4 | valid |
Compiled 20263 to 2450 computations (87.9% saved)
ival-sin: 2.1s (19.5% of total)ival-cos: 1.8s (17% of total)ival-pow: 1.6s (15% of total)ival-mult: 1.2s (11.7% of total)ival-div: 1.1s (10.1% of total)backward-pass: 586.0ms (5.5% of total)ival-add: 449.0ms (4.2% of total)ival-sub: 354.0ms (3.3% of total)ival-sqrt: 280.0ms (2.6% of total)ival-exp: 220.0ms (2.1% of total)ival-log: 220.0ms (2.1% of total)ival-tan: 160.0ms (1.5% of total)ival-neg: 146.0ms (1.4% of total)ival-cbrt: 103.0ms (1% of total)ival-atan2: 85.0ms (0.8% of total)ival-acos: 81.0ms (0.8% of total)const: 59.0ms (0.6% of total)ival-atan: 40.0ms (0.4% of total)ival-pi: 38.0ms (0.4% of total)ival-fabs: 13.0ms (0.1% of total)ival-asin: 8.0ms (0.1% of total)| 52× | egg-herbie |
| 32328× | fma-define |
| 19274× | fma-neg |
| 13234× | div-sub |
| 11584× | unsub-neg |
| 11427× | sub-neg |
| 22× | saturated |
| 30× | node limit |
Compiled 62062 to 23816 computations (61.6% saved)
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