
| 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: 5.3min)
| 34.2s | 225 522× | 0 | valid |
| 9.6s | 66 174× | 0 | invalid |
| 6.6s | 22 701× | 1 | valid |
| 4.1s | 12 161× | 1 | invalid |
| 3.4s | 9 750× | 2 | valid |
| 2.8s | 6 213× | 3 | valid |
| 389.0ms | 1 819× | 1 | exit |
| 212.0ms | 556× | 2 | invalid |
| 25.0ms | 221× | 0 | exit |
| 2.0ms | 6× | 4 | valid |
ival-mult: 11.7s (25.6% of total)ival-div: 7.2s (15.9% of total)ival-sub: 3.4s (7.4% of total)ival-add: 2.9s (6.4% of total)ival-pow2: 2.8s (6.2% of total)ival-pow: 2.4s (5.2% of total)ival-sqrt: 2.3s (5.1% of total)ival-exp: 2.2s (4.7% of total)adjust: 2.2s (4.7% of total)ival-sin: 2.0s (4.4% of total)ival-cos: 918.0ms (2% of total)ival-neg: 896.0ms (2% of total)ival-tan: 891.0ms (2% of total)ival-acos: 551.0ms (1.2% of total)ival-pi: 507.0ms (1.1% of total)const: 470.0ms (1% of total)ival-hypot: 437.0ms (1% of total)ival-log: 425.0ms (0.9% of total)exact: 341.0ms (0.7% of total)ival-true: 274.0ms (0.6% of total)ival-asin: 207.0ms (0.5% of total)ival-tanu: 172.0ms (0.4% of total)ival-assert: 145.0ms (0.3% of total)ival-fabs: 120.0ms (0.3% of total)ival-atan: 93.0ms (0.2% of total)ival-<: 86.0ms (0.2% of total)ival-and: 11.0ms (0% of total)| 286× | egg-herbie |
| 381× | iter limit |
| 258× | node limit |
| 28× | saturated |
| 284× | iter limit |
| 189× | node limit |
| 31× | fuel |
| 1× | done |
Compiled 69 782 to 30 023 computations (57% saved)
| 258× | iter limit |
| 127× | node limit |
| 10.0s | 23 820× | 0 | valid |
| 3.2s | 3 521× | 1 | valid |
| 2.4s | 2 072× | 2 | valid |
| 1.4s | 738× | 3 | valid |
| 901.0ms | 1 686× | 0 | invalid |
| 510.0ms | 138× | 5 | exit |
| 139.0ms | 326× | 0 | exit |
| 112.0ms | 14× | 4 | exit |
| 74.0ms | 74× | 2 | invalid |
| 70.0ms | 98× | 1 | invalid |
| 18.0ms | 9× | 4 | valid |
| 17.0ms | 9× | 3 | exit |
| 5.0ms | 7× | 1 | exit |
Compiled 43 990 to 5 339 computations (87.9% saved)
ival-mult: 4.2s (29.3% of total)ival-div: 2.7s (18.9% of total)ival-add: 1.4s (9.7% of total)adjust: 1.0s (7.1% of total)ival-cos: 711.0ms (5% of total)ival-sqrt: 706.0ms (5% of total)ival-sub: 672.0ms (4.7% of total)ival-pow: 509.0ms (3.6% of total)ival-pow2: 507.0ms (3.6% of total)ival-sin: 318.0ms (2.2% of total)ival-neg: 229.0ms (1.6% of total)ival-exp: 198.0ms (1.4% of total)ival-log: 164.0ms (1.2% of total)const: 158.0ms (1.1% of total)ival-asin: 140.0ms (1% of total)ival-acos: 140.0ms (1% of total)ival-tan: 113.0ms (0.8% of total)ival-hypot: 91.0ms (0.6% of total)exact: 68.0ms (0.5% of total)ival-pi: 52.0ms (0.4% of total)ival-true: 30.0ms (0.2% of total)ival-sinh: 28.0ms (0.2% of total)ival-atan: 27.0ms (0.2% of total)ival-tanu: 26.0ms (0.2% of total)ival-tanh: 26.0ms (0.2% of total)ival-cbrt: 18.0ms (0.1% of total)ival-assert: 14.0ms (0.1% of total)ival-fabs: 13.0ms (0.1% of total)ival-cosh: 11.0ms (0.1% of total)ival-expm1: 2.0ms (0% of total)156 calls:
| 1.2s | l |
| 1.0s | t |
| 1.0s | k |
| 446.0ms | F |
| 445.0ms | x |
Compiled 13 371 to 13 771 computations (-3% saved)
Compiled 4 495 767 to 436 878 computations (90.3% saved)
1197 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 267.0ms | f | @ | -inf | ((/ (- (* 0 (* -1/4 (PI))) (* (* 1/4 (PI)) (log (tanh (* (* 1/4 f) (PI)))))) (* (* 1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* 1/4 (PI)) (log (tanh (* (* 1/4 f) (PI)))))) (* (* 1/4 (PI)) (* -1/4 (PI))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ (sqrt (PI)) (/ (* (log (tanh (* f (* 1/4 (PI))))) 4) (sqrt (PI)))) (/ 1 (/ (sqrt (PI)) (/ (* (log (tanh (* f (* 1/4 (PI))))) 4) (sqrt (PI))))) (sqrt (PI)) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (log (/ (* (sinh (* (/ f 4) (PI))) 2) (cosh (* (/ f 4) (PI))))) (log 2)) (* 1/4 (PI))) (- (log (/ (* (sinh (* (/ f 4) (PI))) 2) (cosh (* (/ f 4) (PI))))) (log 2)) (log (/ (* (sinh (* (/ f 4) (PI))) 2) (cosh (* (/ f 4) (PI))))) (/ (* (sinh (* (/ f 4) (PI))) 2) (cosh (* (/ f 4) (PI)))) (log (tanh (* (* 1/4 f) (PI)))) (* (* 1/4 (PI)) (log (tanh (* (* 1/4 f) (PI))))) (tanh (* f (* 1/4 (PI)))) (* (/ f 4) (PI))) |
| 235.0ms | l | @ | 0 | ((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg (PI)) F) (/ l F)) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* (sqrt (PI)) l))) (/ (tan (* l (PI))) (* (neg F) F))) (* (pow (PI) 1/4) (* (sqrt (PI)) l)) (pow (PI) 1/4) (/ (PI) (* F F)) (/ (neg (PI)) F) (/ (tan (* l (PI))) (* (neg F) F)) (sqrt (PI))) |
| 207.0ms | n | @ | 0 | ((* (/ 1 (sqrt k)) (* (pow (* n (* (PI) 2)) (* k -1/2)) (sqrt (* n (* (PI) 2))))) (/ 1 (sqrt k)) (sqrt k) (* (pow (* n (* (PI) 2)) (* k -1/2)) (sqrt (* n (* (PI) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (sqrt 2) (sqrt (/ (* (PI) n) k))) (sqrt 2) (sqrt (/ (* (PI) n) k)) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (* -2 (PI)) (/ -1 n)) (/ (pow (* n (PI)) (+ (* 1/2 k) 1/2)) 1) (* (/ (pow 2 (+ (* 1/2 k) 1/2)) (sqrt k)) (/ (pow (* n (PI)) (+ (* 1/2 k) 1/2)) 1)) (/ (pow 2 (+ (* 1/2 k) 1/2)) (sqrt k)) (pow 2 (+ (* 1/2 k) 1/2)) (PI) (sqrt (* n (* (PI) 2))) (pow (* n (* (PI) 2)) (* k -1/2)) (* n (* (PI) 2)) (/ (- 1 k) 2) (* (* 2 (PI)) n) (pow (/ (* -2 (PI)) (/ -1 n)) (+ (* -1/2 k) 1/2)) (pow (* n (PI)) (+ (* 1/2 k) 1/2))) |
| 175.0ms | f | @ | 0 | ((/ 1 (/ (/ 4 (PI)) f)) (/ (log (tanh (/ 1 (/ (/ 4 (PI)) f)))) (* 1/4 (PI))) (log (tanh (/ 1 (/ (/ 4 (PI)) f)))) (tanh (/ 1 (/ (/ 4 (PI)) f))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (+ (log (* 1/4 (PI))) (log f)) (log (* 1/4 (PI))) (* (/ (- (* 0 (sqrt (PI))) (* (sqrt (PI)) (log (tanh (* (/ f 4) (PI)))))) (PI)) (/ 4 (sqrt (PI)))) (* 0 (sqrt (PI))) (neg (* (/ (- (* 0 (sqrt (PI))) (* (sqrt (PI)) (log (tanh (* (/ f 4) (PI)))))) (PI)) (/ 4 (sqrt (PI))))) (- (* 0 (sqrt (PI))) (* (sqrt (PI)) (log (tanh (* (/ f 4) (PI)))))) (* (* (PI) 1/4) (* 2 f)) (/ (neg (log (/ (+ (pow (pow (exp (PI)) 1/2) f) 1) (- (exp (* (* (PI) 1/4) (* 2 f))) 1)))) (* 1/4 (PI))) (pow (exp (PI)) 1/2) (neg (log (/ (+ (pow (pow (exp (PI)) 1/2) f) 1) (- (exp (* (* (PI) 1/4) (* 2 f))) 1)))) (/ (/ 4 (PI)) f) (PI) (sqrt (PI)) (log (tanh (* (/ f 4) (PI)))) (/ (- (* 0 (sqrt (PI))) (* (sqrt (PI)) (log (tanh (* (/ f 4) (PI)))))) (PI)) (* (sqrt (PI)) (log (tanh (* (/ f 4) (PI))))) (/ (+ (pow (pow (exp (PI)) 1/2) f) 1) (- (exp (* (* (PI) 1/4) (* 2 f))) 1)) (exp (PI)) (log (/ (+ (pow (pow (exp (PI)) 1/2) f) 1) (- (exp (* (* (PI) 1/4) (* 2 f))) 1)))) |
| 146.0ms | a2 | @ | -inf | ((/ 1 (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (cos th)) (* (sqrt 2) (neg (sqrt 2))) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))) (/ (neg a1) (* (sqrt 2) (neg (sqrt 2)))) (cos th) (/ a2 (sqrt 2)) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))))) |
| 32× | egg-herbie |
| 64× | iter limit |
| 41× | node limit |
| 23× | saturated |
Compiled 88 779 to 19 875 computations (77.6% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 453 | 2 |
sqrt.f64 | #f | oflow-rescue | 439 | 0 |
cos.f64 | #f | sensitivity | 408 | 0 |
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 | n*o | 247 | 0 |
+.f64 | #f | nan-rescue | 217 | 0 |
sqrt.f64 | #f | uflow-rescue | 167 | 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 | 129 | 1 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 127 | 0 |
pow.f64 | #f | oflow-rescue | 123 | 0 |
*.f64 | #f | u*o | 123 | 0 |
-.f64 | #f | nan-rescue | 112 | 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 | 95 | 27 |
/.f64 | #f | o/o | 79 | 0 |
*.f64 | #f | n*u | 76 | 0 |
/.f64 | #f | o/n | 64 | 0 |
*.f64 | #f | o*u | 61 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 57 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 57 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 57 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 57 | |
pow.f64 | #f | uflow-rescue | 54 | 0 |
+.f64 | #f | cancellation | 54 | 0 |
/.f64 | #f | u/u | 49 | 0 |
/.f64 | #f | n/o | 44 | 0 |
/.f64 | #f | n/u | 28 | 0 |
/.f64 | #f | u/n | 20 | 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 | 11 | 0 |
exp.f64 | #f | sensitivity | 3 | 3 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 (PI.f64) l) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1937 | 46 |
| - | 1122 | 5087 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1937 | 2 | 44 |
| - | 1122 | 29 | 5058 |
| number | freq |
|---|---|
| 0 | 5133 |
| 1 | 2675 |
| 2 | 336 |
| 3 | 45 |
| 4 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 0 |
| - | 0 | 0 | 6 |
| 2.2s | 13 354× | 0 | valid |
| 590.0ms | 1 880× | 1 | valid |
| 267.0ms | 778× | 2 | valid |
| 184.0ms | 354× | 3 | valid |
| 11.0ms | 18× | 5 | exit |
Compiled 7 569 to 1 655 computations (78.1% saved)
ival-mult: 430.0ms (20.2% of total)ival-div: 264.0ms (12.4% of total)ival-sub: 162.0ms (7.6% of total)adjust: 150.0ms (7% of total)ival-sqrt: 140.0ms (6.6% of total)ival-pow2: 129.0ms (6% of total)ival-sin: 127.0ms (6% of total)ival-add: 122.0ms (5.7% of total)ival-exp: 103.0ms (4.8% of total)ival-pow: 97.0ms (4.5% of total)ival-cos: 94.0ms (4.4% of total)ival-neg: 67.0ms (3.1% of total)ival-tan: 57.0ms (2.7% of total)ival-acos: 42.0ms (2% of total)ival-hypot: 22.0ms (1% of total)ival-pi: 19.0ms (0.9% of total)ival-log: 19.0ms (0.9% of total)exact: 19.0ms (0.9% of total)ival-true: 16.0ms (0.7% of total)const: 12.0ms (0.6% of total)ival-tanu: 11.0ms (0.5% of total)ival-fabs: 10.0ms (0.5% of total)ival-asin: 8.0ms (0.4% of total)ival-assert: 7.0ms (0.3% of total)ival-atan: 5.0ms (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)
Compiled 282 219 to 146 767 computations (48% saved)
| 244× | binary-search |
| 208× | left-value |
| 229× | narrow-enough |
| 15× | predicate-same |
| 2.7s | 16 737× | 0 | valid |
| 402.0ms | 2 516× | 0 | invalid |
| 100.0ms | 352× | 1 | valid |
| 61.0ms | 146× | 2 | valid |
| 26.0ms | 61× | 3 | valid |
| 23.0ms | 41× | 1 | invalid |
| 1.0ms | 1× | 5 | exit |
Compiled 164 923 to 114 996 computations (30.3% saved)
ival-mult: 639.0ms (25.1% of total)ival-div: 414.0ms (16.3% of total)ival-add: 222.0ms (8.7% of total)ival-sub: 181.0ms (7.1% of total)ival-tan: 178.0ms (7% of total)ival-pow: 172.0ms (6.8% of total)ival-sin: 167.0ms (6.6% of total)ival-pow2: 156.0ms (6.1% of total)ival-neg: 133.0ms (5.2% of total)const: 78.0ms (3.1% of total)ival-exp: 69.0ms (2.7% of total)ival-sqrt: 31.0ms (1.2% of total)adjust: 25.0ms (1% of total)exact: 21.0ms (0.8% of total)ival-cos: 17.0ms (0.7% of total)ival-true: 16.0ms (0.6% of total)ival-assert: 8.0ms (0.3% of total)ival-asin: 8.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-fabs: 5.0ms (0.2% of total)ival-pi: 0.0ms (0% of total)Loading profile data...