Herbie run
| Date: | Saturday, May 18th, 2024 |
|---|---|
| Commit: | c2f4097e on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024139 |
| 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: 10.0min)
| 270× | egg-herbie |
| 213368× | fma-define |
| 120358× | fma-neg |
| 119132× | distribute-lft-in |
| 118128× | times-frac |
| 114268× | *-commutative |
| 70× | saturated |
| 200× | node limit |
| 105158× | fma-define |
| 67496× | *-commutative |
| 67436× | associate-*r* |
| 67266× | times-frac |
| 55410× | distribute-lft-in |
| 8× | saturated |
| 176× | node limit |
| 29× | fuel |
| 1× | done |
Compiled 62539 to 12603 computations (79.8% saved)
| 1.2min | 247625× | 0 | valid |
| 1.2s | 8399× | 0 | invalid |
| 1.0s | 2021× | 0 | precondition |
| 10.0ms | 55× | 1 | valid |
ival-mult: 12.1s (20.7% of total)ival-<=: 10.8s (18.4% of total)...c/correct-round.rkt:121:19: 8.9s (15.2% of total)ival-div: 4.9s (8.4% of total)ival-sub: 2.6s (4.4% of total)ival-add: 2.6s (4.4% of total)ival-sin: 2.1s (3.5% of total)ival-log: 2.0s (3.3% of total)ival-fabs: 1.9s (3.2% of total)ival-sqrt: 1.7s (3% of total)ival-and: 1.6s (2.6% of total)ival-cos: 1.2s (2% of total)ival-exp: 878.0ms (1.5% of total)ival-pi: 768.0ms (1.3% of total)ival-neg: 759.0ms (1.3% of total)ival-floor: 748.0ms (1.3% of total)const: 448.0ms (0.8% of total)ival-tan: 374.0ms (0.6% of total)ival-<: 356.0ms (0.6% of total)ival->: 341.0ms (0.6% of total)ival-log2: 338.0ms (0.6% of total)ival-==: 329.0ms (0.6% of total)ival-fmax: 300.0ms (0.5% of total)ival-if: 259.0ms (0.4% of total)ival-asin: 160.0ms (0.3% of total)ival-atan: 114.0ms (0.2% of total)ival-sinh: 85.0ms (0.1% of total)ival->=: 83.0ms (0.1% of total)backward-pass: 71.0ms (0.1% of total)| 19.5s | 26981× | 0 | valid |
| 6.2s | 1114× | 5 | exit |
| 1.8s | 1769× | 0 | invalid |
| 742.0ms | 422× | 1 | valid |
| 250.0ms | 434× | 0 | unsamplable |
Compiled 106653 to 5507 computations (94.8% saved)
ival-mult: 4.7s (29.8% of total)ival-div: 2.1s (13.2% of total)ival-pow: 1.5s (9.3% of total)ival-add: 912.0ms (5.8% of total)backward-pass: 869.0ms (5.5% of total)ival-sin: 567.0ms (3.6% of total)ival-tan: 544.0ms (3.4% of total)ival-sqrt: 516.0ms (3.3% of total)ival-fma: 469.0ms (3% of total)ival-log1p: 459.0ms (2.9% of total)ival-exp: 370.0ms (2.3% of total)ival-log: 337.0ms (2.1% of total)ival-hypot: 334.0ms (2.1% of total)ival-sub: 317.0ms (2% of total)ival-neg: 266.0ms (1.7% of total)...c/correct-round.rkt:121:19: 242.0ms (1.5% of total)ival-fmax: 214.0ms (1.4% of total)ival-if: 159.0ms (1% of total)ival-log2: 148.0ms (0.9% of total)ival-atan: 145.0ms (0.9% of total)ival-cos: 121.0ms (0.8% of total)ival-floor: 113.0ms (0.7% of total)const: 99.0ms (0.6% of total)ival-pi: 73.0ms (0.5% of total)ival-expm1: 49.0ms (0.3% of total)ival-cbrt: 49.0ms (0.3% of total)ival->=: 44.0ms (0.3% of total)ival-asin: 42.0ms (0.3% of total)ival->: 34.0ms (0.2% of total)ival-fabs: 31.0ms (0.2% of total)ival-<: 14.0ms (0.1% of total)ival-sinh: 12.0ms (0.1% of total)ival-e: 8.0ms (0.1% of total)Compiled 376752 to 135319 computations (64.1% saved)
| 120× | batch-egg-rewrite |
| 59806× | log1p-expm1-u |
| 50572× | expm1-log1p-u |
| 36733× | pow1 |
| 36698× | log-prod |
| 35494× | add-exp-log |
| 120× | node limit |
14658 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 463.0ms | w | @ | 0 | (pow (fmax (+ (* (floor w) (* (floor w) (pow dX.u 2))) (pow (* (floor h) dX.v) 2)) (+ (* (floor w) (* (floor w) (pow dY.u 2))) (* (floor h) (* (floor h) (pow dY.v 2))))) 1/4) |
| 327.0ms | dX.u | @ | 0 | (if (> (/ (fmax (pow (sqrt (+ (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* dX.u (floor w)) (* dX.u (floor w))))) 2) (pow (sqrt (+ (* (* dY.v (floor h)) (* dY.v (floor h))) (* (* (floor w) dY.u) (* (floor w) dY.u)))) 2)) (* (* (floor h) (floor w)) (- (* dX.u dY.v) (* dX.v dY.u)))) (floor maxAniso)) (/ (sqrt (fmax (pow (sqrt (+ (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* dX.u (floor w)) (* dX.u (floor w))))) 2) (pow (sqrt (+ (* (* dY.v (floor h)) (* dY.v (floor h))) (* (* (floor w) dY.u) (* (floor w) dY.u)))) 2))) (floor maxAniso)) (* (sqrt (/ 1 (fmax (pow (sqrt (+ (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* dX.u (floor w)) (* dX.u (floor w))))) 2) (pow (sqrt (+ (* (* dY.v (floor h)) (* dY.v (floor h))) (* (* (floor w) dY.u) (* (floor w) dY.u)))) 2)))) (* (* (floor h) (floor w)) (- (* dX.u dY.v) (* dX.v dY.u))))) |
| 293.0ms | alphay | @ | -inf | (/ 1 (sqrt (+ (* 1 1) (* (sqrt (/ u0 (* (- 1 u0) (+ (* (/ 1 (+ 1 (pow (* alphay (/ (tan (* 1/2 (PI))) alphax)) 2))) (pow alphax -2)) (pow (/ (sin (atan (* alphay (/ (tan (* (PI) (+ (* 2 u1) 1/2))) alphax)))) alphay) 2))))) (sqrt (/ u0 (* (- 1 u0) (+ (* (/ 1 (+ 1 (pow (* alphay (/ (tan (* 1/2 (PI))) alphax)) 2))) (pow alphax -2)) (pow (/ (sin (atan (* alphay (/ (tan (* (PI) (+ (* 2 u1) 1/2))) alphax)))) alphay) 2))))))))) |
| 271.0ms | w | @ | 0 | (if (< (if (> (/ (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v)))) (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v))))) (floor maxAniso)) (/ (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u)))) (sqrt (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v))))))) 1) (fmax 1 (* (if (> (/ (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v)))) (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v))))) (floor maxAniso)) (/ (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u)))) (sqrt (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v))))))) (if (> (/ (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v)))) (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v)))) (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u)))))))) (if (> (/ (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v)))) (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (* (floor w) (* (* dX.u dX.u) (floor w))) (* dX.v (* dX.v (* (floor h) (floor h))))) (+ (* (floor w) (* (* dY.u dY.u) (floor w))) (* (* (floor h) (floor h)) (* dY.v dY.v)))) (fabs (* (floor w) (+ (* dY.v (* dX.u (floor h))) (* (* (floor h) (neg dX.v)) dY.u))))))) |
| 237.0ms | h | @ | -inf | (* (log (fmax (pow (* dX.v (floor h)) 2) (pow (sqrt (+ (* (* (floor d) dY.w) (* (floor d) dY.w)) (* (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) 2))) 1/2) |
| 30× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 2.6% | 97.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 2.6% | 97.4% | 0% | 0% | 0% | 1 |
| 7.8% | 0.2% | 2.4% | 97.4% | 0% | 0% | 0% | 2 |
| 8.5% | 0.2% | 2.4% | 97.4% | 0% | 0% | 0% | 3 |
| 12.8% | 0.3% | 2.3% | 97.4% | 0% | 0% | 0% | 4 |
| 47% | 1.2% | 1.4% | 97.4% | 0% | 0% | 0% | 5 |
| 51.8% | 1.3% | 1.2% | 97.4% | 0% | 0% | 0% | 6 |
| 69.5% | 1.8% | 0.8% | 97.4% | 0% | 0% | 0% | 7 |
| 71.6% | 1.8% | 0.7% | 97.4% | 0% | 0.1% | 0% | 8 |
| 81.1% | 2.1% | 0.5% | 97.4% | 0% | 0.1% | 0% | 9 |
| 82.6% | 2.1% | 0.4% | 97.4% | 0% | 0.1% | 0% | 10 |
| 88.3% | 2.2% | 0.3% | 97.4% | 0% | 0.1% | 0% | 11 |
| 89.1% | 2.2% | 0.3% | 97.4% | 0% | 0.1% | 0% | 12 |
Compiled 2668 to 1046 computations (60.8% saved)
ival-mult: 5.1s (24.3% of total)ival-<=: 4.0s (18.8% of total)...c/correct-round.rkt:121:19: 2.5s (11.9% of total)ival-fabs: 1.4s (6.7% of total)ival-div: 1.3s (6% of total)ival-floor: 1.0s (4.9% of total)ival-sqrt: 832.0ms (3.9% of total)ival-add: 737.0ms (3.5% of total)ival-and: 656.0ms (3.1% of total)ival-if: 420.0ms (2% of total)ival-fmax: 401.0ms (1.9% of total)ival-sin: 366.0ms (1.7% of total)ival-sub: 348.0ms (1.6% of total)ival-log2: 271.0ms (1.3% of total)ival-==: 247.0ms (1.2% of total)ival-cos: 233.0ms (1.1% of total)ival-log: 188.0ms (0.9% of total)ival-pi: 182.0ms (0.9% of total)ival-neg: 145.0ms (0.7% of total)ival->: 138.0ms (0.7% of total)const: 131.0ms (0.6% of total)ival-exp: 123.0ms (0.6% of total)ival-tan: 109.0ms (0.5% of total)ival->=: 91.0ms (0.4% of total)ival-<: 63.0ms (0.3% of total)ival-atan: 40.0ms (0.2% of total)ival-sinh: 34.0ms (0.2% of total)backward-pass: 22.0ms (0.1% of total)ival-asin: 20.0ms (0.1% of total)145 calls:
| 811.0ms | s |
| 799.0ms | uy |
| 601.0ms | cosTheta_i |
| 592.0ms | maxCos |
| 592.0ms | u |
Compiled 13563 to 9401 computations (30.7% saved)
Compiled 12159244 to 596704 computations (95.1% saved)
| 30× | egg-herbie |
| 30630× | fma-define |
| 21782× | fma-neg |
| 15892× | unsub-neg |
| 14706× | distribute-lft-neg-in |
| 11858× | distribute-rgt-neg-in |
| 11× | saturated |
| 19× | node limit |
Compiled 46646 to 14966 computations (67.9% saved)
| 3.9s | 15266× | 0 | valid |
| 46.0ms | 94× | 1 | valid |
Compiled 16652 to 1662 computations (90% saved)
ival-mult: 543.0ms (23.1% of total)ival-div: 538.0ms (22.9% of total)ival-log: 421.0ms (17.9% of total)ival-add: 155.0ms (6.6% of total)ival-neg: 93.0ms (4% of total)ival-sub: 91.0ms (3.9% of total)ival-sin: 83.0ms (3.5% of total)ival-sqrt: 71.0ms (3% of total)ival-floor: 48.0ms (2% of total)ival-cos: 45.0ms (1.9% of total)ival-pi: 42.0ms (1.8% of total)ival-exp: 39.0ms (1.7% of total)const: 27.0ms (1.1% of total)...c/correct-round.rkt:121:19: 27.0ms (1.1% of total)ival-fmax: 22.0ms (0.9% of total)ival-tan: 18.0ms (0.8% of total)ival-if: 16.0ms (0.7% of total)ival-log2: 15.0ms (0.6% of total)ival-fabs: 13.0ms (0.6% of total)ival-atan: 10.0ms (0.4% of total)backward-pass: 8.0ms (0.3% of total)ival->=: 6.0ms (0.3% of total)ival->: 5.0ms (0.2% of total)ival-asin: 5.0ms (0.2% of total)ival-sinh: 5.0ms (0.2% of total)ival-<: 2.0ms (0.1% of total)| 37× | binary-search |
| 22× | left-value |
| 37× | narrow-enough |
Compiled 3369 to 1465 computations (56.5% saved)
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