
| Date: | Thursday, August 22nd, 2024 |
|---|---|
| Commit: | efa1c98c on faster-localize |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024235 |
| 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: 6.4min)
| 30.3s | 221 754× | 0 | valid |
| 10.9s | 26 502× | 1 | valid |
| 8.6s | 65 654× | 0 | invalid |
| 3.3s | 9 789× | 2 | valid |
| 3.3s | 12 368× | 1 | invalid |
| 2.8s | 6 144× | 3 | valid |
| 606.0ms | 1 891× | 1 | exit |
| 145.0ms | 507× | 2 | invalid |
| 45.0ms | 239× | 0 | exit |
| 1.0ms | 2× | 5 | exit |
| 1.0ms | 3× | 4 | valid |
| 0.0ms | 1× | 3 | exit |
| 0.0ms | 1× | 4 | exit |
ival-mult: 10.9s (23.7% of total)ival-div: 7.1s (15.3% of total)ival-tan: 3.8s (8.2% of total)ival-sub: 3.2s (7% of total)ival-add: 2.7s (5.9% of total)ival-sqrt: 2.5s (5.5% of total)ival-pow2: 2.4s (5.1% of total)adjust: 2.2s (4.8% of total)ival-pow: 2.1s (4.6% of total)ival-exp: 2.0s (4.4% of total)ival-sin: 1.8s (3.9% of total)ival-cos: 1.0s (2.2% of total)ival-acos: 676.0ms (1.5% of total)const: 593.0ms (1.3% of total)ival-neg: 556.0ms (1.2% of total)ival-pi: 516.0ms (1.1% of total)ival-log: 445.0ms (1% of total)ival-hypot: 399.0ms (0.9% of total)exact: 317.0ms (0.7% of total)ival-true: 248.0ms (0.5% of total)ival-asin: 196.0ms (0.4% of total)ival-assert: 134.0ms (0.3% of total)ival-fabs: 88.0ms (0.2% of total)ival-atan: 76.0ms (0.2% of total)ival-<: 38.0ms (0.1% of total)ival-and: 11.0ms (0% of total)| 288× | egg-herbie |
| 2 436 780× | lower-fma.f32 |
| 2 436 036× | lower-fma.f64 |
| 1 285 456× | lower-*.f32 |
| 1 282 914× | lower-*.f64 |
| 664 186× | lower-+.f32 |
| 384× | iter limit |
| 227× | node limit |
| 61× | saturated |
Compiled 184 438 to 90 682 computations (50.8% saved)
| 1 484 832× | lower-fma.f32 |
| 1 484 404× | lower-fma.f64 |
| 998 790× | lower-*.f32 |
| 996 904× | lower-*.f64 |
| 482 402× | lower-/.f32 |
| 274× | iter limit |
| 179× | node limit |
| 31× | fuel |
| 1× | done |
Compiled 49 165 to 21 965 computations (55.3% saved)
Compiled 7 060 786 to 456 197 computations (93.5% saved)
| 589 376× | lower-fma.f32 |
| 588 634× | lower-fma.f64 |
| 581 546× | lower-*.f32 |
| 579 030× | lower-*.f64 |
| 453 246× | lower-/.f32 |
| 263× | iter limit |
| 128× | node limit |
| 9.0s | 22 646× | 0 | valid |
| 4.3s | 4 376× | 1 | valid |
| 4.1s | 378× | 3 | exit |
| 3.6s | 2 392× | 2 | valid |
| 1.6s | 767× | 3 | valid |
| 632.0ms | 1 452× | 0 | invalid |
| 304.0ms | 499× | 0 | exit |
| 63.0ms | 8× | 4 | exit |
| 53.0ms | 140× | 1 | exit |
| 48.0ms | 63× | 1 | invalid |
| 48.0ms | 35× | 2 | invalid |
| 15.0ms | 12× | 5 | exit |
Compiled 49 819 to 5 590 computations (88.8% saved)
ival-mult: 4.3s (23% of total)ival-tan: 4.0s (21.3% of total)ival-div: 2.5s (13.2% of total)ival-add: 1.4s (7.3% of total)ival-cos: 1.2s (6.3% of total)adjust: 1.2s (6.1% of total)ival-sqrt: 780.0ms (4.1% of total)ival-sub: 699.0ms (3.7% of total)ival-acos: 495.0ms (2.6% of total)ival-pow: 382.0ms (2% of total)ival-pow2: 313.0ms (1.7% of total)ival-sin: 269.0ms (1.4% of total)const: 268.0ms (1.4% of total)ival-neg: 208.0ms (1.1% of total)ival-exp: 199.0ms (1.1% of total)ival-pi: 162.0ms (0.9% of total)ival-asin: 121.0ms (0.6% of total)ival-log: 99.0ms (0.5% of total)ival-hypot: 96.0ms (0.5% of total)ival-atan: 66.0ms (0.3% of total)exact: 62.0ms (0.3% of total)ival-true: 27.0ms (0.1% of total)ival-cbrt: 22.0ms (0.1% of total)ival-tanh: 20.0ms (0.1% of total)ival-assert: 14.0ms (0.1% of total)ival-fabs: 11.0ms (0.1% of total)ival-sinh: 5.0ms (0% of total)156 calls:
| 1.2s | l |
| 1.2s | t |
| 791.0ms | k |
| 558.0ms | (*.f64 l l) |
| 538.0ms | x |
Compiled 18 762 to 13 035 computations (30.5% saved)
1200 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 114.0ms | x | @ | 0 | ((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x)))) |
| 84.0ms | t | @ | 0 | ((pow t 3) (pow (/ k t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (+ (+ 1 (pow (/ k t) 2)) 1) (/ (pow t 3) (* l l)) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k))) |
| 81.0ms | l | @ | 0 | ((+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* (+ (cos (* kx 2)) (cos (* ky 2))) 1/2)) (* kx 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ (* (sqrt (/ 1 (+ (* (* 4 (* l l)) (/ (pow (sin ky) 2) (* Om Om))) 1))) 1/2) 1/2) (+ (* (/ Om (* (sin ky) l)) 1/4) 1/2) (/ 1 2) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (- 1 (* (+ (cos (* ky 2)) 1) 1/2)) (* (+ (cos (* ky 2)) 1) 1/2) (* ky 2) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1) (- 1/2 (* (cos (* ky 2)) 1/2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)))))) (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1)) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx))))))) (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))) (/ Om (* (sin ky) l)) (/ Om (* ky l)) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (+ (* (* ky ky) (* l (/ l (* Om Om)))) (* (pow (sin kx) 2) (* l (/ l (* Om Om))))) (/ (* (* kx l) (* kx l)) (* Om Om)) (* (pow (sin kx) 2) (* l (/ l (* Om Om)))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ (* (* (/ l Om) 4) (* (/ l Om) (- 1/2 (- (* 1/2 (cos (+ ky ky))) (- 1/2 (* 1/2 (cos (+ kx kx)))))))) 1))))) (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (+ (* (neg (* l l)) (/ (- 1 (* 1/2 (+ (cos (* kx 2)) (cos (* ky 2))))) (* Om Om))) 1) (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) (sqrt (/ 1 (+ (* (* (* l l) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) 4) 1))) (/ (- 1/2 (* (cos (* ky 2)) 1/2)) (* Om Om))) |
| 77.0ms | f | @ | -inf | ((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (pow (PI) 2/3))) (cbrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (pow (PI) 2/3))) (cbrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (pow (PI) 2/3))) (/ (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0) (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3) (PI) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (* 1/2 (PI)) f) (sqrt (PI)) (cbrt (PI)) (/ 4 (pow (PI) 2/3)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2)) |
| 72.0ms | a | @ | 0 | ((+ (+ 1 (* 10 k)) (* k k)) (+ 1 (* 10 k)) (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) (* a (pow k m)) (* 10 k)) |
| 32× | egg-herbie |
| 229 844× | lower-fma.f64 |
| 229 844× | lower-fma.f32 |
| 79 498× | lower-*.f32 |
| 79 270× | lower-*.f64 |
| 36 848× | lower-/.f32 |
| 64× | iter limit |
| 41× | node limit |
| 23× | saturated |
Compiled 55 217 to 16 583 computations (70% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 475 | 0 |
-.f64 | #f | cancellation | 440 | 1 |
cos.f64 | #f | sensitivity | 412 | 2 |
acos.f64 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) | sensitivity | 253 | 0 |
+.f64 | #f | nan-rescue | 243 | 0 |
*.f64 | #f | n*o | 229 | 0 |
sqrt.f64 | #f | uflow-rescue | 159 | 0 |
pow.f64 | #f | oflow-rescue | 135 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 129 | 1 |
-.f64 | #f | nan-rescue | 122 | 0 |
*.f64 | #f | u*o | 120 | 0 |
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 108 | 2 |
pow.f64 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | sensitivity | 94 | 23 |
*.f64 | #f | n*u | 68 | 0 |
/.f64 | #f | o/n | 66 | 0 |
/.f64 | #f | o/o | 65 | 0 |
+.f64 | #f | cancellation | 64 | 0 |
*.f64 | #f | o*u | 57 | 0 |
pow.f64 | #f | uflow-rescue | 56 | 0 |
/.f64 | #f | u/u | 50 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 48 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 48 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 48 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 48 | |
/.f64 | #f | n/o | 34 | 0 |
/.f64 | #f | n/u | 34 | 0 |
/.f64 | #f | u/n | 15 | 0 |
log.f64 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) | sensitivity | 8 | 0 |
exp.f64 | #f | sensitivity | 5 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1937 | 30 |
| - | 1112 | 5113 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1937 | 1 | 29 |
| - | 1112 | 29 | 5084 |
| number | freq |
|---|---|
| 0 | 5143 |
| 1 | 2680 |
| 2 | 308 |
| 3 | 52 |
| 4 | 8 |
| 5 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 0 | 0 | 7 |
| 2.2s | 13 194× | 0 | valid |
| 940.0ms | 2 022× | 1 | valid |
| 447.0ms | 800× | 2 | valid |
| 217.0ms | 362× | 3 | valid |
| 3.0ms | 6× | 5 | exit |
Compiled 7 669 to 1 655 computations (78.4% saved)
ival-mult: 515.0ms (19.9% of total)ival-tan: 380.0ms (14.7% of total)ival-add: 356.0ms (13.8% of total)ival-div: 293.0ms (11.3% of total)ival-sub: 135.0ms (5.2% of total)adjust: 127.0ms (4.9% of total)ival-pow2: 118.0ms (4.6% of total)ival-sin: 110.0ms (4.3% of total)ival-exp: 94.0ms (3.6% of total)ival-sqrt: 92.0ms (3.6% of total)ival-pow: 73.0ms (2.8% of total)ival-pi: 67.0ms (2.6% of total)ival-cos: 65.0ms (2.5% of total)ival-neg: 30.0ms (1.2% of total)ival-acos: 26.0ms (1% of total)ival-hypot: 22.0ms (0.9% of total)ival-log: 20.0ms (0.8% of total)exact: 18.0ms (0.7% of total)ival-true: 15.0ms (0.6% of total)const: 8.0ms (0.3% of total)ival-asin: 7.0ms (0.3% of total)ival-assert: 7.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-fabs: 4.0ms (0.2% of total)| 32× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 98.2% | 1.8% | 0% | 0% | 0% | 0 |
| 22.2% | 21.8% | 76.4% | 1.8% | 0% | 0% | 0% | 1 |
| 22.6% | 21.8% | 74.8% | 1.8% | 0% | 1.6% | 0% | 2 |
| 28.6% | 26.5% | 66.3% | 1.8% | 0% | 5.5% | 0% | 3 |
| 32.6% | 29.6% | 61.2% | 1.8% | 0% | 7.4% | 0% | 4 |
| 35.8% | 32.3% | 58% | 1.8% | 0% | 8% | 0% | 5 |
| 40.1% | 36.1% | 54% | 1.8% | 0% | 8.1% | 0% | 6 |
| 45.5% | 40.6% | 48.7% | 1.8% | 0% | 8.9% | 0% | 7 |
| 47.9% | 42.1% | 45.8% | 1.8% | 0% | 10.3% | 0% | 8 |
| 51% | 44.7% | 42.9% | 1.8% | 0% | 10.6% | 0% | 9 |
| 52.2% | 45.5% | 41.7% | 1.8% | 0% | 11% | 0% | 10 |
| 53.9% | 46.8% | 39.9% | 1.8% | 0% | 11.5% | 0% | 11 |
| 55.7% | 47.9% | 38.2% | 1.8% | 0% | 12.2% | 0% | 12 |
Compiled 798 to 574 computations (28.1% saved)
| 280× | left-value |
| 180× | binary-search |
| 165× | narrow-enough |
| 15× | predicate-same |
| 2.2s | 14 108× | 0 | valid |
| 244.0ms | 1 881× | 0 | invalid |
| 117.0ms | 508× | 1 | valid |
| 71.0ms | 241× | 2 | valid |
| 51.0ms | 87× | 3 | valid |
| 9.0ms | 51× | 1 | invalid |
| 2.0ms | 6× | 2 | invalid |
Compiled 57 476 to 37 616 computations (34.6% saved)
ival-div: 496.0ms (24.1% of total)ival-mult: 426.0ms (20.7% of total)ival-pow: 215.0ms (10.4% of total)ival-add: 188.0ms (9.1% of total)ival-sin: 169.0ms (8.2% of total)ival-tan: 143.0ms (6.9% of total)ival-pow2: 92.0ms (4.5% of total)ival-sub: 86.0ms (4.2% of total)ival-neg: 66.0ms (3.2% of total)adjust: 38.0ms (1.8% of total)ival-exp: 34.0ms (1.6% of total)ival-sqrt: 26.0ms (1.3% of total)ival-cos: 26.0ms (1.3% of total)exact: 16.0ms (0.8% of total)ival-true: 12.0ms (0.6% of total)const: 9.0ms (0.4% of total)ival-assert: 6.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-fabs: 4.0ms (0.2% of total)ival-asin: 3.0ms (0.1% of total)Loading profile data...