Herbie run
| Date: | Wednesday, November 13th, 2024 |
|---|---|
| Commit: | b0f482cc on pavel-concrete-values |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024318 |
| 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: 6.7min)
| 58.1s | 262 397× | 0 | valid |
| 2.3s | 7 823× | 1 | valid |
| 1.8s | 11 240× | 0 | invalid |
| 641.0ms | 2 227× | 2 | valid |
| 275.0ms | 656× | 1 | invalid |
| 238.0ms | 1 527× | 1 | exit |
| 0.0ms | 1× | 3 | valid |
ival-mult: 9.8s (19.4% of total)const: 7.9s (15.6% of total)ival-<=: 6.8s (13.4% of total)ival-div: 4.0s (7.9% of total)ival-sub: 2.3s (4.6% of total)ival-add: 2.1s (4.1% of total)ival-fabs: 1.9s (3.7% of total)ival-sqrt: 1.9s (3.7% of total)ival-log: 1.7s (3.4% of total)ival-exp: 1.3s (2.5% of total)ival-and: 1.2s (2.4% of total)ival-sin: 1.1s (2.2% of total)ival-sinu: 872.0ms (1.7% of total)ival-neg: 855.0ms (1.7% of total)ival-pow: 847.0ms (1.7% of total)ival-floor: 802.0ms (1.6% of total)exact: 486.0ms (1% of total)ival-cos: 461.0ms (0.9% of total)ival-pow2: 426.0ms (0.8% of total)adjust: 413.0ms (0.8% of total)ival-e: 413.0ms (0.8% of total)ival-cosu: 410.0ms (0.8% of total)ival-pi: 368.0ms (0.7% of total)ival-fmax: 329.0ms (0.7% of total)ival-tan: 315.0ms (0.6% of total)ival-if: 249.0ms (0.5% of total)ival-log2: 248.0ms (0.5% of total)ival-<: 189.0ms (0.4% of total)ival->: 158.0ms (0.3% of total)ival-log1p: 143.0ms (0.3% of total)ival-asin: 118.0ms (0.2% of total)ival-assert: 117.0ms (0.2% of total)ival-atan: 110.0ms (0.2% of total)ival-==: 96.0ms (0.2% of total)ival->=: 82.0ms (0.2% of total)ival-sinh: 80.0ms (0.2% of total)ival-true: 24.0ms (0% of total)| 297× | egg-herbie |
| 403× | iter limit |
| 247× | node limit |
| 43× | saturated |
| 7× | unsound |
160 calls:
| 2.6s | s |
| 2.1s | u |
| 1.4s | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 1.4s | x |
| 972.0ms | u1 |
Compiled 29 950 to 16 850 computations (43.7% saved)
| 281× | iter limit |
| 185× | node limit |
| 32× | fuel |
| 2× | unsound |
| 1× | done |
Compiled 105 525 to 21 711 computations (79.4% saved)
Compiled 32 001 471 to 613 307 computations (98.1% saved)
Compiled 1 366 677 to 415 712 computations (69.6% saved)
| 276× | iter limit |
| 125× | node limit |
| 7× | unsound |
| 13.6s | 29 351× | 0 | valid |
| 2.8s | 2 105× | 1 | valid |
| 791.0ms | 1 722× | 0 | invalid |
| 268.0ms | 294× | 2 | valid |
| 189.0ms | 57× | 5 | exit |
| 113.0ms | 95× | 2 | exit |
| 45.0ms | 153× | 0 | exit |
| 10.0ms | 12× | 1 | exit |
| 4.0ms | 3× | 3 | valid |
Compiled 137 342 to 6 393 computations (95.3% saved)
ival-mult: 4.5s (33.1% of total)ival-div: 1.9s (14.2% of total)ival-add: 1.1s (7.8% of total)ival-sub: 647.0ms (4.7% of total)ival-pow2: 556.0ms (4.1% of total)ival-sqrt: 536.0ms (3.9% of total)ival-exp: 489.0ms (3.6% of total)ival-pow: 476.0ms (3.5% of total)adjust: 424.0ms (3.1% of total)ival-log: 351.0ms (2.6% of total)ival-sin: 287.0ms (2.1% of total)const: 252.0ms (1.8% of total)ival-neg: 248.0ms (1.8% of total)ival-sinu: 185.0ms (1.4% of total)ival-cosu: 166.0ms (1.2% of total)ival-if: 157.0ms (1.2% of total)ival-fmax: 156.0ms (1.1% of total)ival-cos: 153.0ms (1.1% of total)ival-log1p: 130.0ms (1% of total)ival-pi: 122.0ms (0.9% of total)ival-fabs: 113.0ms (0.8% of total)ival-log2: 96.0ms (0.7% of total)ival-floor: 88.0ms (0.6% of total)ival-tan: 84.0ms (0.6% of total)ival-e: 79.0ms (0.6% of total)exact: 64.0ms (0.5% of total)ival-expm1: 57.0ms (0.4% of total)ival-atan: 40.0ms (0.3% of total)ival-true: 32.0ms (0.2% of total)ival-sinh: 27.0ms (0.2% of total)ival->: 22.0ms (0.2% of total)ival-asin: 21.0ms (0.2% of total)ival-assert: 15.0ms (0.1% of total)ival-hypot: 11.0ms (0.1% of total)ival-tanu: 10.0ms (0.1% of total)ival->=: 9.0ms (0.1% of total)ival-<: 7.0ms (0.1% of total)ival-cbrt: 7.0ms (0.1% of total)ival-acos: 4.0ms (0% of total)| 33× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 11.5% | 88.5% | 0% | 0% | 0% | 0 |
| 52.8% | 6.1% | 5.4% | 88.5% | 0% | 0% | 0% | 1 |
| 54.4% | 6.2% | 5.2% | 88.5% | 0% | 0% | 0% | 2 |
| 54.5% | 6.3% | 5.2% | 88.5% | 0% | 0% | 0% | 3 |
| 55.4% | 6.4% | 5.1% | 88.5% | 0% | 0% | 0% | 4 |
| 62.6% | 7.2% | 4.3% | 88.5% | 0% | 0% | 0% | 5 |
| 66.9% | 7.6% | 3.8% | 88.5% | 0% | 0.1% | 0% | 6 |
| 76.4% | 8.4% | 2.6% | 88.5% | 0% | 0.4% | 0% | 7 |
| 76.8% | 8.5% | 2.6% | 88.5% | 0% | 0.4% | 0% | 8 |
| 81.4% | 9% | 2% | 88.5% | 0% | 0.4% | 0% | 9 |
| 85.1% | 9.3% | 1.6% | 88.5% | 0% | 0.5% | 0% | 10 |
| 86.3% | 9.4% | 1.5% | 88.5% | 0% | 0.5% | 0% | 11 |
| 87.3% | 9.5% | 1.4% | 88.5% | 0% | 0.6% | 0% | 12 |
Compiled 2 648 to 1 114 computations (57.9% saved)
1452 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 264.0ms | w | @ | 0 | ((* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (sqrt (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2)))) (pow (* dY.v (floor h)) 2) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (pow (floor h) 2) (* dY.v dY.v)) (pow (* dY.u (floor w)) 2)) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (pow (floor h) 2) (* dY.v dY.v)) (pow (* dY.u (floor w)) 2)))) (+ (* (* (* dX.v (floor h)) dX.v) (floor h)) (pow (* dX.u (floor w)) 2)) (sqrt (fmax (+ (* (* (* dX.v (floor h)) dX.v) (floor h)) (pow (* dX.u (floor w)) 2)) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (+ (* (exp (log (* dX.v (floor h)))) (exp (log (* dX.v (floor h))))) (pow (* dX.u (floor w)) 2)) (sqrt (fmax (+ (* (exp (log (* dX.v (floor h)))) (exp (log (* dX.v (floor h))))) (pow (* dX.u (floor w)) 2)) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (exp (log (* dX.v (floor h))))) |
| 190.0ms | s | @ | 0 | ((* (* 3 s) (log (/ 1 (+ (* -4/3 u) 4/3)))) (/ 1 (+ (* -4/3 u) 4/3)) (+ (* -4/3 u) 4/3) (* 3 s) (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (/ 1 (- 1 (/ (- u 1/4) 3/4))) (+ (* (log (+ 1 (* -4/3 (- u 1/4)))) -1) 0) (* (* 3 s) (+ (* (log (+ 1 (* -4/3 (- u 1/4)))) -1) 0)) (log (+ 1 (* -4/3 (- u 1/4)))) (+ (* (* (neg (log (+ 1 (+ (* u 4/3) -1/3)))) 3) s) 0) (* (neg (log (+ 1 (+ (* u 4/3) -1/3)))) 3) (neg (log (+ 1 (+ (* u 4/3) -1/3)))) (log (+ 1 (+ (* u 4/3) -1/3))) (+ (* (log (- 1 (+ (* u 4/3) -1/3))) -1) 0) (- 1 (+ (* u 4/3) -1/3)) (* (* 3 s) (+ (* (log (- 1 (+ (* u 4/3) -1/3))) -1) 0)) (log (/ 1 (+ (* -4/3 u) 4/3))) (* -4/3 u) (log 4/3) (+ (* u 4/3) -1/3) (log (- 1 (+ (* u 4/3) -1/3)))) |
| 182.0ms | alphax | @ | -inf | ((+ (* u1 2) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ 1 (sqrt (+ (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 1))) (sqrt (+ (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 1)) (+ (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 1) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ u0 (- 1 u0))) (/ (- (pow (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 2) 1) (- (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 1)) (/ 1 (sqrt (/ (- (pow (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 2) 1) (- (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 1)))) (sqrt (/ (- (pow (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 2) 1) (- (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 1))) (- (pow (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 2) 1) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* 2 u1) 1/2) (cos (* (PI) (+ (* u1 2) 1/2))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (* (PI) (+ (* u1 2) 1/2)) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (* (+ (* u1 2) 1/2) (PI)) (cos (* (PI) (+ (* 2 u1) 1/2))) (* (PI) (+ (* 2 u1) 1/2)) (pow (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) 2) (cos (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* u1 2) 1/2))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) |
| 146.0ms | u2 | @ | inf | ((* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (* (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2))) (sqrt (neg (log (- 1 u1))))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2))) (pow (cbrt (PI)) 2) (* (cos (* u2 (* (PI) 2))) (sqrt (neg (log (- 1 u1))))) (cos (* u2 (* (PI) 2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (/ 1 (/ (neg u1) (* (neg u1) (sqrt u1)))) (/ (neg u1) (* (neg u1) (sqrt u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (log (- (- 1 u1) (* u1 (+ (* u1 u1) u1)))) (- (- 1 u1) (* u1 (+ (* u1 u1) u1))) (* (sqrt (- (log (- (- 1 u1) (* u1 (+ (* u1 u1) u1)))) (log (pow (- 1 u1) 2)))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (- (- 1 u1) (* u1 (+ (* u1 u1) u1)))) (log (pow (- 1 u1) 2)))) (PI) (* (cbrt (PI)) u2) (* (* 2 (PI)) u2) (+ (* u1 u1) u1) (log (pow (- 1 u1) 2))) |
| 134.0ms | alphay | @ | inf | ((neg (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (/ (neg (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (+ (/ cos2phi (* alphax alphax)) (/ sin2phi (* alphay alphay)))) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (log (+ 1 (* (neg u0) u0))) (/ (neg (log (- 1 u0))) (+ (/ cos2phi (* alphax alphax)) (/ sin2phi (* alphay alphay)))) (/ u0 (+ (/ sin2phi (* alphay alphay)) (/ cos2phi (* alphax alphax)))) (+ (/ sin2phi (* alphay alphay)) (/ cos2phi (* alphax alphax))) (/ sin2phi (* alphay alphay)) (* (/ sin2phi alphay) (/ 1 alphay)) (log (- 1 u0)) (/ (neg (log (- 1 u0))) (+ (/ cos2phi (* alphax alphax)) (* (/ sin2phi alphay) (/ 1 alphay)))) (neg (log (- 1 u0))) (exp (* (log (/ (* alphay alphay) sin2phi)) -1)) (* (log (/ (* alphay alphay) sin2phi)) -1) (/ (neg (log (- 1 u0))) (+ (/ cos2phi (* alphax alphax)) (exp (* (log (/ (* alphay alphay) sin2phi)) -1)))) (/ (* (/ (neg (log (+ 1 (neg u0)))) (- (pow (/ cos2phi (* alphax alphax)) 2) (pow (/ sin2phi (* alphay alphay)) 2))) (- (* alphay alphay) (* (/ (* alphax alphax) cos2phi) sin2phi))) (* (* (/ (* alphax alphax) cos2phi) alphay) alphay)) (/ (neg (log (+ 1 (neg u0)))) (- (pow (/ cos2phi (* alphax alphax)) 2) (pow (/ sin2phi (* alphay alphay)) 2))) (* (/ (neg (log (+ 1 (neg u0)))) (- (pow (/ cos2phi (* alphax alphax)) 2) (pow (/ sin2phi (* alphay alphay)) 2))) (- (* alphay alphay) (* (/ (* alphax alphax) cos2phi) sin2phi))) (neg (log (+ 1 (neg u0)))) (log (+ 1 u0)) (/ cos2phi (* alphax alphax)) (/ (* alphay alphay) sin2phi) (log (+ 1 (neg u0)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | #f | sensitivity | 1024 | 97 |
-.f32 | #f | cancellation | 399 | 24 |
sqrt.f32 | #f | oflow-rescue | 376 | 0 |
sqrt.f64 | #f | oflow-rescue | 282 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | sensitivity | 209 | 0 |
cos.f32 | #f | sensitivity | 192 | 19 |
tan.f32 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | cancellation | 187 | 17 |
-.f64 | #f | cancellation | 160 | 0 |
/.f32 | #f | o/n | 140 | 0 |
exp.f32 | #f | sensitivity | 34 | 17 |
/.f32 | #f | u/n | 23 | 0 |
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))) | uflow-rescue | 21 | 0 |
| ↳ | (*.f32 sinTheta_O sinTheta_O) | underflow | 300 | |
| ↳ | (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))) | underflow | 21 | |
| ↳ | (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))) | underflow | 150 | |
| ↳ | (*.f32 eta eta) | underflow | 21 | |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 20 | 0 |
/.f32 | #f | o/o | 16 | 0 |
/.f32 | #f | n/o | 6 | 0 |
sqrt.f64 | #f | uflow-rescue | 6 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | u*o | 1 | 0 |
| ↳ | (*.f32 u normAngle) | underflow | 1 | |
| ↳ | (sin.f32 (*.f32 u normAngle)) | underflow | 1 | |
| ↳ | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | overflow | 1 | |
*.f32 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2182 | 58 |
| - | 471 | 5737 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2182 | 33 | 25 |
| - | 471 | 122 | 5615 |
| number | freq |
|---|---|
| 0 | 5795 |
| 1 | 2225 |
| 2 | 412 |
| 3 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 23 | 2 | 0 |
| - | 5 | 0 | 3 |
| 2.7s | 16 120× | 0 | valid |
| 215.0ms | 620× | 1 | valid |
| 65.0ms | 156× | 2 | valid |
Compiled 16 934 to 1 875 computations (88.9% saved)
ival-mult: 527.0ms (24.9% of total)ival-sub: 394.0ms (18.6% of total)ival-div: 207.0ms (9.8% of total)ival-add: 149.0ms (7% of total)ival-pow2: 96.0ms (4.5% of total)ival-sqrt: 95.0ms (4.5% of total)ival-log: 71.0ms (3.3% of total)ival-pow: 68.0ms (3.2% of total)ival-cos: 47.0ms (2.2% of total)ival-sin: 46.0ms (2.2% of total)ival-floor: 41.0ms (1.9% of total)ival-exp: 39.0ms (1.8% of total)ival-sinu: 34.0ms (1.6% of total)ival-neg: 33.0ms (1.6% of total)ival-pi: 29.0ms (1.4% of total)adjust: 27.0ms (1.3% of total)ival-cosu: 26.0ms (1.2% of total)const: 25.0ms (1.2% of total)ival-tan: 18.0ms (0.8% of total)ival-fabs: 17.0ms (0.8% of total)ival-true: 17.0ms (0.8% of total)ival-e: 16.0ms (0.8% of total)ival-fmax: 16.0ms (0.8% of total)exact: 16.0ms (0.8% of total)ival-if: 15.0ms (0.7% of total)ival-log2: 12.0ms (0.6% of total)ival-assert: 8.0ms (0.4% of total)ival-atan: 7.0ms (0.3% of total)ival-sinh: 7.0ms (0.3% of total)ival-log1p: 7.0ms (0.3% of total)ival-asin: 4.0ms (0.2% of total)ival->: 3.0ms (0.1% of total)ival->=: 3.0ms (0.1% of total)ival-<: 1.0ms (0% of total)| 33× | egg-herbie |
| 66× | iter limit |
| 35× | saturated |
| 31× | node limit |
Compiled 101 630 to 13 767 computations (86.5% saved)
| 66× | left-value |
| 55× | binary-search |
| 53× | narrow-enough |
| 2× | predicate-same |
| 145.0ms | 565× | 1 | valid |
| 110.0ms | 832× | 0 | valid |
| 39.0ms | 107× | 2 | valid |
| 3.0ms | 40× | 0 | invalid |
Compiled 15 704 to 9 154 computations (41.7% saved)
ival-pow: 66.0ms (27.1% of total)ival-pow2: 43.0ms (17.6% of total)ival-mult: 27.0ms (11.1% of total)ival-add: 23.0ms (9.4% of total)ival-e: 19.0ms (7.8% of total)adjust: 18.0ms (7.4% of total)ival-sub: 14.0ms (5.7% of total)ival-log1p: 9.0ms (3.7% of total)ival-sqrt: 8.0ms (3.3% of total)ival-fabs: 8.0ms (3.3% of total)ival-div: 6.0ms (2.5% of total)exact: 2.0ms (0.8% of total)ival-assert: 1.0ms (0.4% of total)ival-true: 1.0ms (0.4% of total)Loading profile data...