
| Date: | Tuesday, September 24th, 2024 |
|---|---|
| Commit: | 6490ee3d on main |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024268 |
| 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: 9.3min)
| 57.6s | 251 271× | 0 | valid |
| 2.0s | 11 140× | 0 | invalid |
| 1.8s | 4 665× | 1 | valid |
| 436.0ms | 1 635× | 1 | exit |
| 338.0ms | 694× | 1 | invalid |
ival-mult: 9.8s (19.6% of total)const: 7.8s (15.6% of total)ival-<=: 6.9s (13.6% of total)ival-div: 4.6s (9.2% of total)ival-sub: 2.2s (4.4% of total)ival-add: 2.1s (4.3% of total)ival-sqrt: 1.7s (3.5% of total)ival-log: 1.6s (3.3% of total)ival-fabs: 1.3s (2.7% of total)ival-and: 1.3s (2.5% of total)ival-floor: 1.2s (2.3% of total)ival-sin: 1.1s (2.2% of total)ival-exp: 852.0ms (1.7% of total)ival-pow: 846.0ms (1.7% of total)ival-neg: 621.0ms (1.2% of total)ival-e: 580.0ms (1.2% of total)ival-sinu: 569.0ms (1.1% of total)ival-pi: 556.0ms (1.1% of total)ival-fmax: 493.0ms (1% of total)exact: 460.0ms (0.9% of total)ival-cosu: 449.0ms (0.9% of total)ival-cos: 420.0ms (0.8% of total)ival-if: 364.0ms (0.7% of total)ival-tan: 326.0ms (0.6% of total)adjust: 310.0ms (0.6% of total)ival-<: 276.0ms (0.5% of total)ival-asin: 199.0ms (0.4% of total)ival-log2: 197.0ms (0.4% of total)ival->: 189.0ms (0.4% of total)ival-log1p: 182.0ms (0.4% of total)ival-atan: 138.0ms (0.3% of total)ival-assert: 114.0ms (0.2% of total)ival-sinh: 110.0ms (0.2% of total)ival-==: 106.0ms (0.2% of total)ival->=: 71.0ms (0.1% of total)ival-true: 10.0ms (0% of total)Compiled 41 748 587 to 645 130 computations (98.5% saved)
| 277× | egg-herbie |
| 373× | iter limit |
| 206× | node limit |
| 67× | saturated |
| 4× | unsound |
152 calls:
| 3.0s | s |
| 1.9s | (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) |
| 1.7s | x |
| 1.4s | cosTheta_i |
| 1.4s | dX.u |
Compiled 26 704 to 17 664 computations (33.9% saved)
| 278× | iter limit |
| 184× | node limit |
| 30× | fuel |
| 1× | done |
Compiled 51 462 to 16 987 computations (67% saved)
Compiled 735 285 to 277 192 computations (62.3% saved)
| 261× | iter limit |
| 116× | node limit |
| 7× | unsound |
| 14.0s | 28 205× | 0 | valid |
| 1.3s | 1 158× | 1 | valid |
| 1.2s | 1 804× | 0 | invalid |
| 338.0ms | 101× | 5 | exit |
| 173.0ms | 174× | 0 | exit |
| 28.0ms | 14× | 2 | valid |
| 16.0ms | 32× | 1 | exit |
Compiled 137 143 to 5 978 computations (95.6% saved)
ival-mult: 4.1s (31.8% of total)ival-div: 1.9s (14.6% of total)ival-add: 1.1s (8.7% of total)ival-pow2: 733.0ms (5.6% of total)ival-exp: 633.0ms (4.9% of total)ival-sub: 568.0ms (4.4% of total)ival-pow: 494.0ms (3.8% of total)ival-sqrt: 461.0ms (3.5% of total)ival-neg: 344.0ms (2.6% of total)ival-log: 337.0ms (2.6% of total)ival-cos: 246.0ms (1.9% of total)const: 213.0ms (1.6% of total)ival-sin: 194.0ms (1.5% of total)ival-tan: 158.0ms (1.2% of total)adjust: 147.0ms (1.1% of total)ival-sinu: 144.0ms (1.1% of total)ival-log1p: 144.0ms (1.1% of total)ival-fmax: 140.0ms (1.1% of total)ival-if: 128.0ms (1% of total)ival-floor: 103.0ms (0.8% of total)ival-cosu: 103.0ms (0.8% of total)ival-log2: 100.0ms (0.8% of total)ival-pi: 65.0ms (0.5% of total)ival-atan: 64.0ms (0.5% of total)exact: 60.0ms (0.5% of total)ival-expm1: 42.0ms (0.3% of total)ival-fabs: 38.0ms (0.3% of total)ival-e: 31.0ms (0.2% of total)ival-true: 29.0ms (0.2% of total)ival-asin: 25.0ms (0.2% of total)ival-assert: 16.0ms (0.1% of total)ival->: 14.0ms (0.1% of total)ival-sinh: 14.0ms (0.1% of total)ival-acos: 12.0ms (0.1% of total)ival-tanu: 11.0ms (0.1% of total)ival->=: 10.0ms (0.1% of total)ival-cbrt: 8.0ms (0.1% of total)ival-<: 6.0ms (0% of total)| 31× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 5.8% | 94.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 5.8% | 94.2% | 0% | 0% | 0% | 1 |
| 3.4% | 0.2% | 5.6% | 94.2% | 0% | 0% | 0% | 2 |
| 3.8% | 0.2% | 5.6% | 94.2% | 0% | 0% | 0% | 3 |
| 5.7% | 0.3% | 5.4% | 94.2% | 0% | 0% | 0% | 4 |
| 20.8% | 1.2% | 4.6% | 94.2% | 0% | 0% | 0% | 5 |
| 29.6% | 1.7% | 4% | 94.2% | 0% | 0.1% | 0% | 6 |
| 47.8% | 2.5% | 2.8% | 94.2% | 0% | 0.5% | 0% | 7 |
| 48.7% | 2.6% | 2.7% | 94.2% | 0% | 0.5% | 0% | 8 |
| 58.9% | 3.1% | 2.2% | 94.2% | 0% | 0.5% | 0% | 9 |
| 66.8% | 3.5% | 1.7% | 94.2% | 0% | 0.5% | 0% | 10 |
| 69.4% | 3.6% | 1.6% | 94.2% | 0% | 0.6% | 0% | 11 |
| 71.5% | 3.7% | 1.5% | 94.2% | 0% | 0.6% | 0% | 12 |
Compiled 2 600 to 1 074 computations (58.7% saved)
1281 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 196.0ms | s | @ | 0 | ((- 4/3 (* 4/3 u)) (* (* -3 (log (- 4/3 (* 4/3 u)))) s) (* -3 (log (- 4/3 (* 4/3 u)))) (log (- 4/3 (* 4/3 u))) (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* s (+ (* (+ (log 3/4) u) 3) (* (* u u) 3/2))) (* (* (* u s) u) 3/2) (* (* u s) u) (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* (* (+ (log 3/4) u) 3) s) (* (+ (log 3/4) u) 3) (+ (log 3/4) u) (* (* -3 (log (+ 1 (+ (* -4/3 u) 1/3)))) s) (* -3 (log (+ 1 (+ (* -4/3 u) 1/3)))) (log (+ 1 (+ (* -4/3 u) 1/3))) (+ (* -4/3 u) 1/3) (* (* 3 s) (log (/ 1 (- 4/3 (* 4/3 u))))) (/ 1 (- 4/3 (* 4/3 u))) (* 3 s) (* 4/3 u) (log (/ 1 (- 4/3 (* 4/3 u))))) |
| 141.0ms | s | @ | 0 | ((+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) (neg s) (/ (PI) s) (/ (neg (PI)) s) (exp (/ (neg (PI)) s))) |
| 136.0ms | c | @ | 0 | ((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c x) y) (* c x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) x) (+ (* (* (+ (* -1/2 y) 1/2) y) c) (* c (/ y x))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* (- (exp (* x 3)) 1) y) (- (exp (* x 3)) 1) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* c (/ y x))) |
| 133.0ms | d | @ | -inf | ((pow (pow (fmax (+ (pow (* dX.w (floor d)) 2) (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2))) (+ (pow (* dY.w (floor d)) 2) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2)))) 1/4) 2) (log2 (pow (pow (fmax (+ (pow (* dX.w (floor d)) 2) (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2))) (+ (pow (* dY.w (floor d)) 2) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2)))) 1/4) 2)) (pow (fmax (+ (pow (* dX.w (floor d)) 2) (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2))) (+ (pow (* dY.w (floor d)) 2) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2)))) 1/4) (fmax (+ (pow (* dX.w (floor d)) 2) (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2))) (+ (pow (* dY.w (floor d)) 2) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2)))) (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)) (* (* (floor d) dY.w) (* (floor d) dY.w)) (* (* dX.u (pow (floor w) 2)) dX.u) (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (floor d) dX.w) (* (floor d) dX.w)) (+ (* 1 (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))) (pow (* dY.w (floor d)) 2)) (+ (* (floor h) (* (* dY.v (floor h)) dY.v)) (+ (pow (* dY.u (floor w)) 2) (pow (* dY.w (floor d)) 2))) (exp (log (* dX.v (floor h)))) (pow (* dX.u (floor w)) 2) (pow (* dY.u (floor w)) 2) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (* 1 (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))) (pow (* dY.w (floor d)) 2)))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (* (floor h) (* (* dY.v (floor h)) dY.v)) (+ (pow (* dY.u (floor w)) 2) (pow (* dY.w (floor d)) 2))))) (+ (* (exp (log (* dX.v (floor h)))) (exp (log (* dX.v (floor h))))) (+ (pow (* dX.u (floor w)) 2) (pow (* dX.w (floor d)) 2))) (sqrt (fmax (+ (* (exp (log (* dX.v (floor h)))) (exp (log (* dX.v (floor h))))) (+ (pow (* dX.u (floor w)) 2) (pow (* dX.w (floor d)) 2))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) |
| 119.0ms | s | @ | 0 | ((log (/ 1 (+ (* -4/3 (- u 1/4)) 1))) (+ (* -4/3 (- u 1/4)) 1) (* (* 3 s) (log (/ 1 (+ (* -4/3 (- u 1/4)) 1)))) (* -4/3 (- u 1/4)) (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* (* (log 3/4) s) 3) (* (log 3/4) s) (log 3/4) (* (* -3 (log (+ 1 (* -4/3 (- u 1/4))))) s) (* -3 (log (+ 1 (* -4/3 (- u 1/4))))) (log (+ 1 (* -4/3 (- u 1/4)))) (+ (* -1 (log (+ 1 (* -4/3 (- u 1/4))))) 0) (* (* 3 s) (+ (* -1 (log (+ 1 (* -4/3 (- u 1/4))))) 0)) (* 3 s) (+ (* (* s 3) 0) (* (* -3 (log (+ 1 (* -4/3 (- u 1/4))))) s)) (* s 3)) |
| 31× | egg-herbie |
| 62× | iter limit |
| 33× | saturated |
| 29× | node limit |
Compiled 61 124 to 17 663 computations (71.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | #f | sensitivity | 1009 | 75 |
-.f32 | #f | cancellation | 370 | 37 |
sqrt.f32 | #f | oflow-rescue | 370 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | sensitivity | 192 | 0 |
cos.f32 | #f | sensitivity | 187 | 15 |
tan.f32 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | cancellation | 180 | 13 |
/.f32 | #f | o/n | 130 | 0 |
exp.f32 | #f | sensitivity | 43 | 27 |
-.f64 | (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) | cancellation | 42 | 0 |
/.f32 | #f | u/n | 22 | 0 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 15 | 0 |
/.f32 | #f | o/o | 12 | 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 | 11 | 0 |
| ↳ | (*.f32 sinTheta_O sinTheta_O) | underflow | 288 | |
| ↳ | (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))) | underflow | 11 | |
| ↳ | (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))) | underflow | 144 | |
| ↳ | (*.f32 eta eta) | underflow | 11 | |
/.f32 | (/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) | n/o | 5 | 0 |
| ↳ | (/.f32 sin2phi (*.f32 alphay alphay)) | overflow | 12 | |
| ↳ | (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))) | overflow | 12 | |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 2 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | u*o | 2 | 0 |
| ↳ | (*.f32 u normAngle) | underflow | 4 | |
| ↳ | (sin.f32 (*.f32 u normAngle)) | underflow | 4 | |
| ↳ | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | overflow | 2 | |
*.f32 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 2 | 0 |
sin.f32 | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) | cancellation | 1 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1784 | 66 |
| - | 456 | 5630 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1784 | 34 | 32 |
| - | 456 | 114 | 5516 |
| number | freq |
|---|---|
| 0 | 5696 |
| 1 | 1897 |
| 2 | 331 |
| 3 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 21 | 1 | 0 |
| - | 6 | 0 | 3 |
| 2.5s | 15 428× | 0 | valid |
| 159.0ms | 444× | 1 | valid |
Compiled 16 494 to 1 759 computations (89.3% saved)
ival-mult: 534.0ms (28.9% of total)ival-div: 246.0ms (13.3% of total)ival-sub: 124.0ms (6.7% of total)ival-exp: 120.0ms (6.5% of total)ival-add: 108.0ms (5.8% of total)ival-sqrt: 80.0ms (4.3% of total)ival-sinu: 77.0ms (4.2% of total)ival-log: 69.0ms (3.7% of total)ival-sin: 62.0ms (3.4% of total)ival-tan: 50.0ms (2.7% of total)ival-floor: 45.0ms (2.4% of total)ival-fmax: 39.0ms (2.1% of total)ival-pow: 38.0ms (2.1% of total)const: 28.0ms (1.5% of total)ival-neg: 27.0ms (1.5% of total)ival-cosu: 23.0ms (1.2% of total)ival-pi: 22.0ms (1.2% of total)ival-cos: 20.0ms (1.1% of total)ival-e: 18.0ms (1% of total)ival-true: 16.0ms (0.9% of total)adjust: 15.0ms (0.8% of total)ival-if: 15.0ms (0.8% of total)exact: 14.0ms (0.8% of total)ival-log2: 12.0ms (0.6% of total)ival-fabs: 10.0ms (0.5% of total)ival-assert: 8.0ms (0.4% of total)ival-log1p: 8.0ms (0.4% of total)ival-atan: 6.0ms (0.3% of total)ival-asin: 5.0ms (0.3% of total)ival-sinh: 5.0ms (0.3% of total)ival->: 3.0ms (0.2% of total)ival->=: 3.0ms (0.2% of total)ival-<: 1.0ms (0.1% of total)| 63× | left-value |
| 48× | binary-search |
| 48× | narrow-enough |
| 102.0ms | 407× | 1 | valid |
| 16.0ms | 185× | 0 | valid |
| 5.0ms | 21× | 0 | invalid |
| 0.0ms | 1× | 1 | invalid |
Compiled 5 255 to 3 336 computations (36.5% saved)
ival-pow: 40.0ms (40.8% of total)ival-e: 17.0ms (17.3% of total)ival-mult: 16.0ms (16.3% of total)ival-log1p: 11.0ms (11.2% of total)adjust: 7.0ms (7.1% of total)ival-sub: 6.0ms (6.1% of total)ival-true: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Loading profile data...