
| Date: | Thursday, October 3rd, 2024 |
|---|---|
| Commit: | 6e4f2b10 on rival-256-starting-prec |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024277 |
| 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: 14.1min)
| 324× | iter limit |
| 210× | node limit |
| 36× | fuel |
| 21× | done |
| 3× | saturated |
| 3× | unsound |
Compiled 39 314 to 17 824 computations (54.7% saved)
| 1.1min | 445 652× | 0 | valid |
| 9.5s | 22 895× | 1 | valid |
| 2.5s | 4 455× | 0 | invalid |
| 838.0ms | 8 058× | 0 | exit |
| 489.0ms | 1 637× | 2 | valid |
| 148.0ms | 421× | 3 | valid |
ival-mult: 16.4s (29.6% of total)ival-add: 6.0s (10.8% of total)const: 4.8s (8.7% of total)ival-div: 4.2s (7.6% of total)ival-exp: 3.8s (6.8% of total)ival-hypot: 2.9s (5.3% of total)ival-log: 2.4s (4.4% of total)ival-sub: 2.0s (3.6% of total)ival-sin: 1.7s (3% of total)adjust: 1.2s (2.2% of total)ival-asin: 1.2s (2.2% of total)ival-cos: 1.2s (2.1% of total)ival-asinh: 1.1s (2.1% of total)ival-atan2: 958.0ms (1.7% of total)ival-sqrt: 897.0ms (1.6% of total)ival->: 535.0ms (1% of total)ival-pow: 530.0ms (1% of total)ival-neg: 471.0ms (0.8% of total)ival-acosh: 414.0ms (0.7% of total)ival-atanh: 385.0ms (0.7% of total)exact: 385.0ms (0.7% of total)ival-pi: 351.0ms (0.6% of total)ival-<=: 303.0ms (0.5% of total)ival-sinu: 291.0ms (0.5% of total)ival-true: 283.0ms (0.5% of total)ival-cosu: 230.0ms (0.4% of total)ival-fabs: 204.0ms (0.4% of total)ival-assert: 197.0ms (0.4% of total)ival->=: 98.0ms (0.2% of total)ival-and: 82.0ms (0.1% of total)Compiled 189 779 to 89 845 computations (52.7% saved)
| 453× | egg-herbie |
| 594× | iter limit |
| 274× | node limit |
| 179× | saturated |
132 calls:
| 16.6s | (-.f64 #s(literal 1 binary64) x) |
| 16.0s | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 15.0s | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 787.0ms | re |
| 787.0ms | y.re |
Compiled 13 710 to 9 864 computations (28.1% saved)
Compiled 10 484 985 to 614 708 computations (94.1% saved)
| 416× | iter limit |
| 187× | node limit |
| 6× | unsound |
| 5× | saturated |
| 15.6s | 42 498× | 0 | valid |
| 5.3s | 4 007× | 1 | valid |
| 1.9s | 3 259× | 0 | invalid |
| 570.0ms | 468× | 1 | exit |
| 164.0ms | 207× | 0 | exit |
| 106.0ms | 193× | 2 | valid |
| 68.0ms | 35× | 5 | exit |
| 17.0ms | 21× | 3 | valid |
Compiled 147 061 to 11 880 computations (91.9% saved)
ival-mult: 5.4s (30.2% of total)ival-add: 2.2s (12.5% of total)ival-div: 2.0s (11% of total)ival-log: 1.2s (6.8% of total)const: 1.2s (6.6% of total)ival-pow: 825.0ms (4.6% of total)ival-exp: 614.0ms (3.4% of total)ival-sub: 594.0ms (3.3% of total)adjust: 586.0ms (3.3% of total)ival-neg: 526.0ms (2.9% of total)ival-hypot: 523.0ms (2.9% of total)ival-sqrt: 391.0ms (2.2% of total)ival-cos: 369.0ms (2.1% of total)ival-sin: 262.0ms (1.5% of total)ival-asin: 221.0ms (1.2% of total)ival-pow2: 178.0ms (1% of total)ival-atan2: 150.0ms (0.8% of total)ival-acos: 138.0ms (0.8% of total)ival-log1p: 121.0ms (0.7% of total)exact: 104.0ms (0.6% of total)ival-fabs: 70.0ms (0.4% of total)ival-copysign: 47.0ms (0.3% of total)ival-true: 45.0ms (0.3% of total)ival-pi: 35.0ms (0.2% of total)ival-cosu: 23.0ms (0.1% of total)ival-assert: 22.0ms (0.1% of total)ival-sinu: 20.0ms (0.1% of total)ival-cosh: 18.0ms (0.1% of total)| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1153 | 0 |
-.f64 | #f | cancellation | 749 | 2 |
/.f64 | #f | o/o | 594 | 0 |
/.f64 | #f | o/n | 204 | 0 |
sqrt.f32 | #f | oflow-rescue | 194 | 0 |
sin.f64 | #f | sensitivity | 188 | 1 |
cos.f64 | (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) | sensitivity | 182 | 0 |
+.f64 | #f | cancellation | 162 | 0 |
sqrt.f64 | #f | uflow-rescue | 138 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 130 | 1 |
-.f64 | #f | nan-rescue | 123 | 0 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 110 | 1 |
/.f64 | #f | n/o | 85 | 0 |
/.f64 | #f | u/u | 77 | 0 |
*.f64 | #f | n*u | 71 | 0 |
+.f64 | #f | nan-rescue | 64 | 0 |
*.f64 | #f | n*o | 34 | 0 |
/.f64 | #f | u/n | 33 | 0 |
/.f64 | #f | n/u | 18 | 0 |
*.f64 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) | o*u | 4 | 0 |
| ↳ | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | overflow | 4 | |
| ↳ | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | overflow | 4 | |
| ↳ | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))) | underflow | 4 | |
pow.f64 | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | sensitivity | 3 | 0 |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 2 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 2 | |
| ↳ | (*.f32 x x) | overflow | 125 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 125 | |
exp.f64 | (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) | sensitivity | 2 | 0 |
cos.f64 | (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)) | overflow | 1 | |
| ↳ | (*.f64 x.re x.re) | overflow | 57 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 100 | |
| ↳ | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) | overflow | 1 | |
| ↳ | (*.f64 x.im x.im) | overflow | 56 | |
sin.f64 | (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)) | overflow | 1 | |
| ↳ | (*.f64 x.re x.re) | overflow | 57 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 100 | |
| ↳ | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) | overflow | 1 | |
| ↳ | (*.f64 x.im x.im) | overflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3590 | 62 |
| - | 195 | 10745 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3590 | 3 | 59 |
| - | 195 | 2 | 10743 |
| number | freq |
|---|---|
| 0 | 10807 |
| 1 | 3250 |
| 2 | 533 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 1 |
| - | 0 | 0 | 18 |
| 4.0s | 26 766× | 0 | valid |
| 1.3s | 2 284× | 1 | valid |
| 46.0ms | 116× | 2 | valid |
| 5.0ms | 14× | 3 | valid |
| 2.0ms | 4× | 5 | exit |
Compiled 19 577 to 2 968 computations (84.8% saved)
ival-mult: 885.0ms (27.2% of total)ival-add: 367.0ms (11.3% of total)ival-div: 315.0ms (9.7% of total)ival-log: 270.0ms (8.3% of total)const: 257.0ms (7.9% of total)ival-hypot: 184.0ms (5.7% of total)ival-exp: 179.0ms (5.5% of total)adjust: 159.0ms (4.9% of total)ival-sub: 128.0ms (3.9% of total)ival-cos: 96.0ms (2.9% of total)ival-sin: 79.0ms (2.4% of total)ival-atan2: 60.0ms (1.8% of total)ival-asin: 57.0ms (1.8% of total)ival-sqrt: 46.0ms (1.4% of total)ival-true: 27.0ms (0.8% of total)ival-pow: 24.0ms (0.7% of total)ival-pi: 22.0ms (0.7% of total)exact: 22.0ms (0.7% of total)ival-fabs: 18.0ms (0.6% of total)ival-assert: 13.0ms (0.4% of total)ival-copysign: 12.0ms (0.4% of total)ival-neg: 11.0ms (0.3% of total)ival-log1p: 10.0ms (0.3% of total)ival-sinu: 9.0ms (0.3% of total)ival-cosu: 7.0ms (0.2% of total)1203 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 405.0ms | y.re | @ | -inf | ((* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (cos (+ (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (* y.re (atan2 x.im x.re))))) (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sqrt (+ (* x.im x.im) (* x.re x.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (cos (* (atan2 x.im x.re) y.re))) (* x.re (+ (* (/ 1/2 x.re) (/ (* x.im x.im) x.re)) 1)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (cos (* (atan2 x.im x.re) y.re))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* y.re (+ (* y.im (/ (log x.re) y.re)) (atan2 x.im x.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (+ (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (* y.re (atan2 x.im x.re))) (cos (+ (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp y.im) (atan2 x.im x.re)) (* y.im (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (cos (* (atan2 x.im x.re) y.re)) (/ (* x.im x.im) x.re) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.re) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (+ (* y.im (/ (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (atan2 x.im x.re)) y.re)) |
| 260.0ms | x.re | @ | 0 | ((+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (* x.re y.re) (* x.im y.im)) |
| 227.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x))) |
| 179.0ms | d2 | @ | 0 | ((+ (* (- d4 d1) d1) (* (- d2 d3) d1)) (- d4 d1) (* (- d2 d3) d1) (- d2 d3) (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)) (* d4 d1) (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)) (* (- (+ d4 d2) d1) d1) (- (+ d4 d2) d1) (+ d4 d2) (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)) (* (- (- d2 d3) d1) d1) (- (- d2 d3) d1) (- d2 d1) (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)) (* (- (- d2 d3) d1) d1) (- (- d2 d3) d1) (- d2 d3) (neg d3)) |
| 178.0ms | re | @ | inf | ((* (/ (/ (atan2 im re) (log base)) (log base)) (log base)) (/ (/ (atan2 im re) (log base)) (log base)) (/ (atan2 im re) (log base)) (atan2 im re) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (sqrt (pow (/ (log base) (atan2 im re)) -2)) (pow (/ (log base) (atan2 im re)) -2) (/ (log base) (atan2 im re)) (log base) (/ 1 (pow (sqrt (/ (atan2 im re) (log base))) -2)) (pow (sqrt (/ (atan2 im re) (log base))) -2) (sqrt (/ (atan2 im re) (log base))) (pow (pow (/ (log base) (atan2 im re)) -1/4) 4) (pow (/ (log base) (atan2 im re)) -1/4)) |
| 57× | egg-herbie |
| 114× | iter limit |
| 76× | saturated |
| 38× | node limit |
Compiled 47 448 to 13 791 computations (70.9% saved)
| 244× | left-value |
| 216× | binary-search |
| 205× | narrow-enough |
| 11× | predicate-same |
| 2.1s | 13 631× | 0 | valid |
| 863.0ms | 1 642× | 1 | valid |
| 13.0ms | 65× | 2 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 43 882 to 39 989 computations (8.9% saved)
ival-mult: 616.0ms (29.1% of total)ival-hypot: 340.0ms (16.1% of total)ival-log: 181.0ms (8.6% of total)ival-add: 150.0ms (7.1% of total)ival-sin: 149.0ms (7% of total)ival-exp: 138.0ms (6.5% of total)ival-sub: 135.0ms (6.4% of total)ival-cos: 107.0ms (5.1% of total)ival-atan2: 102.0ms (4.8% of total)ival-div: 59.0ms (2.8% of total)const: 56.0ms (2.6% of total)adjust: 53.0ms (2.5% of total)ival-true: 12.0ms (0.6% of total)ival-sqrt: 8.0ms (0.4% of total)ival-assert: 6.0ms (0.3% of total)exact: 4.0ms (0.2% of total)| 58× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 0 |
| 57.6% | 49.7% | 36.6% | 13.7% | 0% | 0% | 0% | 1 |
| 67.2% | 56.8% | 27.8% | 13.7% | 0% | 1.7% | 0% | 2 |
| 72% | 59% | 23% | 13.7% | 0% | 4.3% | 0% | 3 |
| 79.4% | 63.6% | 16.5% | 13.7% | 0% | 6.2% | 0% | 4 |
| 85.9% | 68.7% | 11.3% | 13.7% | 0% | 6.3% | 0% | 5 |
| 89.7% | 71.4% | 8.2% | 13.7% | 0% | 6.6% | 0% | 6 |
| 92.6% | 73.8% | 5.9% | 13.7% | 0% | 6.6% | 0% | 7 |
| 94% | 74.8% | 4.7% | 13.7% | 0% | 6.8% | 0% | 8 |
| 94.7% | 75.3% | 4.2% | 13.7% | 0% | 6.8% | 0% | 9 |
| 96.1% | 76.4% | 3.1% | 13.7% | 0% | 6.8% | 0% | 10 |
| 96.6% | 76.8% | 2.7% | 13.7% | 0% | 6.8% | 0% | 11 |
| 96.9% | 77% | 2.5% | 13.7% | 0% | 6.9% | 0% | 12 |
Compiled 1 498 to 816 computations (45.5% saved)
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