
| Date: | Sunday, December 29th, 2024 |
|---|---|
| Commit: | fbbe2c7d on main |
| Seed: | 2024364 |
| 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 |
| Memory: | 381 434.9 MB |
Time bar (total: 5.7min)
| 37.3s | 224 608× | 0 | valid |
| 11.3s | 65 645× | 0 | invalid |
| 8.1s | 23 442× | 1 | valid |
| 4.4s | 13 674× | 1 | invalid |
| 4.0s | 6 395× | 3 | valid |
| 3.9s | 9 745× | 2 | valid |
| 637.0ms | 1 567× | 2 | invalid |
| 28.0ms | 239× | 0 | exit |
| 1.0ms | 2× | 4 | valid |
ival-mult: 13.7s (25.4% of total)ival-div: 9.1s (16.8% of total)ival-sub: 5.0s (9.2% of total)adjust: 4.2s (7.7% of total)ival-add: 3.1s (5.8% of total)ival-pow2: 2.8s (5.2% of total)ival-sqrt: 2.7s (4.9% of total)ival-pow: 2.2s (4.1% of total)ival-sin: 2.2s (4% of total)ival-exp: 2.0s (3.7% of total)ival-cos: 1.1s (2% of total)ival-tan: 970.0ms (1.8% of total)ival-acos: 851.0ms (1.6% of total)ival-neg: 757.0ms (1.4% of total)const: 582.0ms (1.1% of total)ival-pi: 516.0ms (1% of total)ival-hypot: 432.0ms (0.8% of total)ival-log: 415.0ms (0.8% of total)exact: 348.0ms (0.6% of total)ival-true: 270.0ms (0.5% of total)ival-asin: 234.0ms (0.4% of total)ival-tanu: 178.0ms (0.3% of total)ival-assert: 149.0ms (0.3% of total)ival-fabs: 141.0ms (0.3% of total)ival-atan: 114.0ms (0.2% of total)ival-<: 40.0ms (0.1% of total)ival-and: 11.0ms (0% of total)| 384× | iter limit |
| 272× | node limit |
| 16× | saturated |
| 288× | iter limit |
| 196× | node limit |
| 31× | fuel |
| 1× | saturated |
| 1× | done |
Compiled 32 954 to 4 344 computations (86.8% saved)
| 10.4s | 22 484× | 0 | valid |
| 7.2s | 5 156× | 1 | valid |
| 5.1s | 2 104× | 2 | valid |
| 2.5s | 896× | 3 | valid |
| 1.2s | 1 941× | 0 | invalid |
| 69.0ms | 158× | 0 | exit |
| 50.0ms | 28× | 5 | exit |
| 2.0ms | 1× | 4 | valid |
Compiled 51 249 to 5 759 computations (88.8% saved)
ival-mult: 6.1s (28.9% of total)adjust: 2.6s (12.5% of total)ival-div: 2.5s (12.1% of total)ival-add: 1.6s (7.6% of total)ival-tan: 1.5s (7.1% of total)ival-pow: 1.3s (6% of total)ival-sqrt: 928.0ms (4.4% of total)ival-cos: 719.0ms (3.4% of total)ival-sub: 709.0ms (3.4% of total)ival-pow2: 584.0ms (2.8% of total)ival-sin: 401.0ms (1.9% of total)const: 358.0ms (1.7% of total)ival-neg: 331.0ms (1.6% of total)ival-exp: 236.0ms (1.1% of total)ival-acos: 218.0ms (1% of total)ival-asin: 205.0ms (1% of total)ival-log: 177.0ms (0.8% of total)ival-hypot: 175.0ms (0.8% of total)ival-pi: 84.0ms (0.4% of total)exact: 73.0ms (0.3% of total)ival-cbrt: 53.0ms (0.3% of total)ival-cosh: 45.0ms (0.2% of total)ival-tanu: 32.0ms (0.2% of total)ival-atan: 31.0ms (0.1% of total)ival-true: 28.0ms (0.1% of total)ival-sinh: 26.0ms (0.1% of total)ival-fabs: 16.0ms (0.1% of total)ival-assert: 15.0ms (0.1% of total)ival-atanh: 5.0ms (0% of total)ival-asinh: 4.0ms (0% of total)| 258× | iter limit |
| 128× | node limit |
156 calls:
| 1.5s | l |
| 895.0ms | (*.f64 v v) |
| 808.0ms | t |
| 770.0ms | k |
| 703.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
Compiled 13 492 to 13 960 computations (-3.5% saved)
Compiled 4 675 469 to 431 076 computations (90.8% saved)
1200 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 316.0ms | kx | @ | 0 | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin ky) 2) (pow (sin kx) 2)) |
| 229.0ms | f | @ | -inf | ((+ (* (pow (PI) 3) -1/192) (* (* 1/32 (pow (PI) 3)) 1/4)) (/ (* (PI) (PI)) (PI)) (* (/ (- (+ (* (pow (PI) 3) -1/192) (* (* 1/32 (pow (PI) 3)) 1/4)) (* -1/384 (pow (PI) 3))) (pow (* (PI) 1/2) 2)) 2) (* (* 1/32 (pow (PI) 3)) 1/4) (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))))))) (/ (+ (* 4 (- (log (/ 2 (* 1/2 (PI)))) (log f))) (* (* (* 2 f) (* (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* 1/2 (PI)))) f)) (PI)) (* (* (* (PI) 1/12) f) f) (+ (* (/ (log (/ 4 (* f (PI)))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (* (* (* 2 f) (* (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* 1/2 (PI)))) (/ f (PI)))) (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))))))) (/ (log (/ 4 (* f (PI)))) (sqrt (PI))) (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))))))) (/ (+ (* 4 (- (log (/ 2 (* 1/2 (PI)))) (log f))) (* (* (* 2 f) (* (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* 1/2 (PI)))) f)) (PI)) (* (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f (PI)) f)) 4) (* (PI) 1/12)) (* f f)) (* (/ -4 (PI)) (log (- (/ (+ (pow (exp (PI)) (/ f 4)) (cosh (* (/ (PI) 4) f))) (* (sinh (* (/ (PI) -4) f)) -2)) 1/2))) (/ -4 (PI)) (PI) (log (- (/ (+ (pow (exp (PI)) (/ f 4)) (cosh (* (/ (PI) 4) f))) (* (sinh (* (/ (PI) -4) f)) -2)) 1/2)) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (* -1/384 (pow (PI) 3)) (- (+ (* (/ (* (PI) (PI)) (PI)) 1/8) 0) (* (/ (- (+ (* (pow (PI) 3) -1/192) (* (* 1/32 (pow (PI) 3)) 1/4)) (* -1/384 (pow (PI) 3))) (pow (* (PI) 1/2) 2)) 2)) (pow (PI) 3) (* (PI) 1/12) (* (* (PI) 1/12) f) (sqrt (PI)) (* 1/12 (PI)) (* (* 1/12 (PI)) (PI)) (log (/ 4 (PI))) (/ (+ (pow (exp (PI)) (/ f 4)) (cosh (* (/ (PI) 4) f))) (* (sinh (* (/ (PI) -4) f)) -2)) (exp (PI))) |
| 172.0ms | A | @ | -inf | ((/ (* c0 1) (pow (sqrt (/ A (* l V))) -1)) (* c0 1) (pow (sqrt (/ A (* l V))) -1) (sqrt (/ A (* l V))) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (/ (sqrt (/ A l)) (sqrt V))) (/ (sqrt (/ A l)) (sqrt V)) (sqrt (/ A l)) (/ A l) (/ (* (/ c0 (sqrt (neg l))) (sqrt A)) (sqrt (neg V))) (* (/ c0 (sqrt (neg l))) (sqrt A)) (/ c0 (sqrt (neg l))) (sqrt (neg l)) (* (pow (/ A (* l V)) 3/8) (* (pow (/ A (* l V)) 1/8) c0)) (pow (/ A (* l V)) 3/8) (/ A (* l V)) (* l V) (sqrt V) (neg V) (neg l) (sqrt A) (sqrt (neg V)) (* (pow (/ A (* l V)) 1/8) c0)) |
| 171.0ms | f | @ | inf | ((+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* 2 f) (* (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) (* (* (* (PI) 2) 2) 1/192) (/ 1 (/ (PI) 4)) (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))))))) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* (/ (PI) -4) f)) 2)) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* (/ (PI) -4) f)) 2)) (log (* -2 (sinh (* (/ (PI) -4) f)))))) (/ (PI) 4) (* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (PI) (log (/ 2 (* 1/2 (PI)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* 1/2 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (/ 2 (* 1/2 (PI))) f) (* f (/ (PI) 4)) (log (* (cosh (* (/ (PI) -4) f)) 2)) (log (* -2 (sinh (* (/ (PI) -4) f)))) (- (log (* (cosh (* (/ (PI) -4) f)) 2)) (log (* -2 (sinh (* (/ (PI) -4) f))))) (* (/ (PI) -4) f)) |
| 127.0ms | c0 | @ | 0 | ((/ (* c0 1) (pow (sqrt (/ A (* l V))) -1)) (* c0 1) (pow (sqrt (/ A (* l V))) -1) (sqrt (/ A (* l V))) (* c0 (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l)) (/ (/ A V) l) (/ A V) (* c0 (/ (sqrt (/ A l)) (sqrt V))) (/ (sqrt (/ A l)) (sqrt V)) (sqrt (/ A l)) (/ A l) (/ (* (/ c0 (sqrt (neg l))) (sqrt A)) (sqrt (neg V))) (* (/ c0 (sqrt (neg l))) (sqrt A)) (/ c0 (sqrt (neg l))) (sqrt (neg l)) (* (pow (/ A (* l V)) 3/8) (* (pow (/ A (* l V)) 1/8) c0)) (pow (/ A (* l V)) 3/8) (/ A (* l V)) (* l V) (sqrt V) (neg V) (neg l) (sqrt A) (sqrt (neg V)) (* (pow (/ A (* l V)) 1/8) c0)) |
| 64× | iter limit |
| 52× | node limit |
| 12× | saturated |
Compiled 89 617 to 21 501 computations (76% saved)
| 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% | 44.6% | 43% | 1.8% | 0% | 10.6% | 0% | 9 |
| 52.1% | 45.5% | 41.8% | 1.8% | 0% | 11% | 0% | 10 |
| 53.9% | 46.7% | 40% | 1.8% | 0% | 11.5% | 0% | 11 |
| 55.6% | 47.9% | 38.2% | 1.8% | 0% | 12.1% | 0% | 12 |
Compiled 798 to 574 computations (28.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 471 | 0 |
-.f64 | #f | cancellation | 443 | 1 |
cos.f64 | #f | sensitivity | 420 | 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 | 255 | 0 |
*.f64 | #f | n*o | 234 | 0 |
+.f64 | #f | nan-rescue | 232 | 0 |
sqrt.f64 | #f | uflow-rescue | 175 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 140 | 1 |
pow.f64 | #f | oflow-rescue | 132 | 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 | 126 | 0 |
*.f64 | #f | u*o | 108 | 0 |
-.f64 | #f | nan-rescue | 107 | 0 |
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 | 88 | 18 |
/.f64 | #f | o/o | 78 | 0 |
+.f64 | #f | cancellation | 66 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 61 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 61 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 61 | |
pow.f64 | #f | uflow-rescue | 60 | 0 |
/.f64 | #f | o/n | 59 | 0 |
*.f64 | #f | n*u | 58 | 0 |
*.f64 | #f | o*u | 57 | 0 |
/.f64 | #f | u/u | 54 | 0 |
/.f64 | #f | n/o | 46 | 0 |
/.f64 | #f | n/u | 32 | 0 |
/.f64 | #f | u/n | 24 | 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 | 2 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1955 | 30 |
| - | 1165 | 5042 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1955 | 0 | 30 |
| - | 1165 | 24 | 5018 |
| number | freq |
|---|---|
| 0 | 5072 |
| 1 | 2754 |
| 2 | 326 |
| 3 | 32 |
| 4 | 6 |
| 5 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 27 | 0 | 0 |
| - | 0 | 0 | 5 |
| 2.2s | 13 276× | 0 | valid |
| 1.0s | 1 962× | 1 | valid |
| 325.0ms | 738× | 2 | valid |
| 295.0ms | 396× | 3 | valid |
| 7.0ms | 12× | 5 | exit |
Compiled 7 569 to 1 655 computations (78.1% saved)
ival-mult: 501.0ms (19.6% of total)adjust: 367.0ms (14.4% of total)ival-div: 313.0ms (12.3% of total)ival-add: 196.0ms (7.7% of total)ival-sin: 166.0ms (6.5% of total)ival-sub: 154.0ms (6% of total)ival-pow2: 137.0ms (5.4% of total)ival-sqrt: 116.0ms (4.5% of total)ival-exp: 112.0ms (4.4% of total)ival-pow: 93.0ms (3.6% of total)ival-acos: 75.0ms (2.9% of total)ival-cos: 65.0ms (2.5% of total)ival-pi: 46.0ms (1.8% of total)ival-hypot: 45.0ms (1.8% of total)ival-tan: 43.0ms (1.7% of total)ival-neg: 26.0ms (1% of total)exact: 19.0ms (0.7% of total)ival-true: 15.0ms (0.6% of total)ival-log: 14.0ms (0.5% of total)ival-tanu: 12.0ms (0.5% of total)ival-asin: 9.0ms (0.4% of total)const: 9.0ms (0.4% of total)ival-atan: 8.0ms (0.3% of total)ival-assert: 7.0ms (0.3% of total)ival-fabs: 4.0ms (0.2% of total)Compiled 299 745 to 151 456 computations (49.5% saved)
| 220× | binary-search |
| 202× | left-value |
| 209× | narrow-enough |
| 11× | predicate-same |
| 2.5s | 14 529× | 0 | valid |
| 460.0ms | 3 227× | 0 | invalid |
| 99.0ms | 68× | 3 | valid |
| 59.0ms | 213× | 1 | valid |
| 30.0ms | 102× | 2 | valid |
| 5.0ms | 9× | 1 | invalid |
Compiled 136 492 to 97 520 computations (28.6% saved)
ival-mult: 513.0ms (22.1% of total)ival-div: 437.0ms (18.9% of total)ival-add: 257.0ms (11.1% of total)ival-sin: 214.0ms (9.2% of total)ival-pow2: 185.0ms (8% of total)ival-pow: 179.0ms (7.7% of total)ival-neg: 116.0ms (5% of total)ival-tan: 95.0ms (4.1% of total)ival-sub: 88.0ms (3.8% of total)ival-exp: 56.0ms (2.4% of total)adjust: 37.0ms (1.6% of total)ival-cos: 37.0ms (1.6% of total)ival-sqrt: 25.0ms (1.1% of total)exact: 16.0ms (0.7% of total)ival-true: 14.0ms (0.6% of total)const: 12.0ms (0.5% of total)ival-tanu: 9.0ms (0.4% of total)ival-assert: 8.0ms (0.3% of total)ival-hypot: 7.0ms (0.3% of total)ival-atan: 6.0ms (0.3% of total)ival-fabs: 4.0ms (0.2% of total)ival-pi: 2.0ms (0.1% of total)Loading profile data...