
| Date: | Saturday, December 28th, 2024 |
|---|---|
| Commit: | e085da8f on no-big-exponents |
| Seed: | 2024363 |
| 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: | 401 745.6 MB |
Time bar (total: 6.2min)
| 53.7s | 433 856× | 0 | valid |
| 10.6s | 26 532× | 1 | valid |
| 5.5s | 9 352× | 2 | valid |
| 2.3s | 4 403× | 0 | invalid |
| 1.6s | 9 175× | 0 | exit |
| 349.0ms | 898× | 3 | valid |
ival-mult: 15.3s (28.4% of total)ival-add: 5.7s (10.5% of total)const: 4.8s (9% of total)ival-div: 4.3s (7.9% of total)ival-exp: 3.6s (6.7% of total)ival-hypot: 2.9s (5.4% of total)adjust: 2.7s (5.1% of total)ival-sub: 2.3s (4.3% of total)ival-log: 2.0s (3.6% of total)ival-asin: 1.9s (3.6% of total)ival-cos: 1.2s (2.3% of total)ival-sin: 1.2s (2.2% of total)ival-sqrt: 939.0ms (1.7% of total)ival-atan2: 796.0ms (1.5% of total)ival-neg: 471.0ms (0.9% of total)ival-pow: 410.0ms (0.8% of total)exact: 373.0ms (0.7% of total)ival->: 359.0ms (0.7% of total)ival-acosh: 358.0ms (0.7% of total)ival-sinu: 347.0ms (0.6% of total)ival-asinh: 330.0ms (0.6% of total)ival-true: 281.0ms (0.5% of total)ival-pi: 259.0ms (0.5% of total)ival-fabs: 252.0ms (0.5% of total)ival-atanh: 207.0ms (0.4% of total)ival-assert: 206.0ms (0.4% of total)ival-<=: 177.0ms (0.3% of total)ival->=: 98.0ms (0.2% of total)ival-cosu: 88.0ms (0.2% of total)ival-and: 80.0ms (0.1% of total)| 609× | iter limit |
| 344× | node limit |
| 114× | saturated |
| 3× | unsound |
| 357× | iter limit |
| 229× | node limit |
| 35× | fuel |
| 22× | done |
| 1× | saturated |
| 1× | unsound |
Compiled 32 552 to 4 355 computations (86.6% saved)
| 439× | iter limit |
| 190× | node limit |
| 7× | unsound |
| 5× | saturated |
| 11.9s | 41 124× | 0 | valid |
| 7.8s | 5 427× | 1 | valid |
| 3.3s | 1 908× | 2 | valid |
| 1.2s | 2 632× | 0 | invalid |
| 329.0ms | 452× | 0 | exit |
| 157.0ms | 126× | 3 | valid |
| 149.0ms | 38× | 5 | exit |
| 23.0ms | 5× | 4 | valid |
Compiled 70 677 to 6 183 computations (91.3% saved)
ival-mult: 5.1s (27.1% of total)ival-div: 2.6s (13.7% of total)ival-add: 2.4s (12.7% of total)adjust: 2.2s (11.5% of total)const: 1.5s (7.9% of total)ival-log: 673.0ms (3.6% of total)ival-exp: 592.0ms (3.1% of total)ival-pow: 559.0ms (3% of total)ival-sub: 542.0ms (2.9% of total)ival-hypot: 531.0ms (2.8% of total)ival-sqrt: 332.0ms (1.8% of total)ival-sin: 319.0ms (1.7% of total)ival-neg: 232.0ms (1.2% of total)ival-acos: 173.0ms (0.9% of total)ival-cos: 140.0ms (0.7% of total)ival-asin: 125.0ms (0.7% of total)ival-copysign: 118.0ms (0.6% of total)ival-atan2: 103.0ms (0.5% of total)ival-fabs: 101.0ms (0.5% of total)exact: 77.0ms (0.4% of total)ival-sinu: 76.0ms (0.4% of total)ival-pi: 69.0ms (0.4% of total)ival-pow2: 68.0ms (0.4% of total)ival-cosh: 53.0ms (0.3% of total)ival-true: 43.0ms (0.2% of total)ival-sinh: 36.0ms (0.2% of total)ival-log1p: 35.0ms (0.2% of total)ival-asinh: 30.0ms (0.2% of total)ival-assert: 23.0ms (0.1% of total)ival-cbrt: 18.0ms (0.1% of total)ival-cosu: 9.0ms (0% of total)ival-acosh: 7.0ms (0% of total)ival->: 1.0ms (0% of total)ival-then: 0.0ms (0% of total)Compiled 5 673 977 to 440 088 computations (92.2% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1172 | 0 |
-.f64 | #f | cancellation | 764 | 3 |
/.f64 | #f | o/o | 657 | 0 |
sin.f64 | #f | sensitivity | 182 | 0 |
/.f64 | #f | o/n | 182 | 0 |
sqrt.f32 | #f | oflow-rescue | 181 | 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))) | sensitivity | 181 | 0 |
sqrt.f64 | #f | uflow-rescue | 150 | 0 |
+.f64 | #f | cancellation | 146 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 138 | 1 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 128 | 0 |
-.f64 | #f | nan-rescue | 101 | 0 |
/.f64 | #f | n/o | 100 | 0 |
*.f64 | #f | n*u | 60 | 0 |
/.f64 | #f | u/u | 48 | 0 |
/.f64 | #f | u/n | 45 | 0 |
+.f64 | #f | nan-rescue | 38 | 0 |
*.f64 | #f | n*o | 28 | 0 |
/.f64 | #f | n/u | 9 | 0 |
exp.f64 | #f | sensitivity | 5 | 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 (atan2.f64 x.im x.re) y.re) | overflow | 1 | |
| ↳ | (*.f64 x.re x.re) | overflow | 56 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 103 | |
| ↳ | (*.f64 x.im x.im) | overflow | 61 | |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
| ↳ | (*.f32 x x) | overflow | 126 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 126 | |
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 (atan2.f64 x.im x.re) y.re) | overflow | 1 | |
| ↳ | (*.f64 x.re x.re) | overflow | 56 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 103 | |
| ↳ | (*.f64 x.im x.im) | overflow | 61 | |
*.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 | 1 | 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 | 1 | |
| ↳ | (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 | 1 | |
| ↳ | (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 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3589 | 37 |
| - | 189 | 10777 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3589 | 4 | 33 |
| - | 189 | 0 | 10777 |
| number | freq |
|---|---|
| 0 | 10814 |
| 1 | 3242 |
| 2 | 531 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 1 |
| - | 0 | 0 | 19 |
| 3.7s | 25 438× | 0 | valid |
| 1.4s | 2 700× | 1 | valid |
| 767.0ms | 990× | 2 | valid |
| 20.0ms | 54× | 3 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 13 558 to 2 283 computations (83.2% saved)
ival-mult: 1.2s (31.8% of total)ival-add: 406.0ms (10.8% of total)adjust: 388.0ms (10.3% of total)ival-div: 280.0ms (7.4% of total)ival-log: 246.0ms (6.5% of total)const: 211.0ms (5.6% of total)ival-exp: 178.0ms (4.7% of total)ival-hypot: 148.0ms (3.9% of total)ival-sub: 117.0ms (3.1% of total)ival-atan2: 116.0ms (3.1% of total)ival-sin: 68.0ms (1.8% of total)ival-asin: 62.0ms (1.6% of total)ival-sqrt: 57.0ms (1.5% of total)ival-cos: 56.0ms (1.5% of total)ival-pow: 52.0ms (1.4% of total)ival-fabs: 51.0ms (1.4% of total)ival-true: 27.0ms (0.7% of total)exact: 21.0ms (0.6% of total)ival-pi: 16.0ms (0.4% of total)ival-copysign: 14.0ms (0.4% of total)ival-assert: 13.0ms (0.3% of total)ival-log1p: 12.0ms (0.3% of total)ival-neg: 12.0ms (0.3% of total)ival-cosu: 9.0ms (0.2% of total)ival-sinu: 7.0ms (0.2% of total)| 114× | iter limit |
| 60× | saturated |
| 54× | node limit |
Compiled 77 532 to 15 697 computations (79.8% saved)
1260 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 136.0ms | x.re | @ | 0 | ((sqrt (+ (* 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))) (+ (* 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))) (sin (+ (* (atan2 x.im x.re) y.re) (* (neg (neg (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) y.im)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (sin (* (atan2 x.im x.re) y.re)) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)) (sin (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.re) (+ (* (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))) (sin (+ (* (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))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (neg (* (neg (log x.re)) y.im)) (neg (* (neg (log x.re)) y.re)) (exp (- (neg (* (neg (log x.re)) y.re)) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (pow (* (+ (* x.im x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) 1/4)) y.re) (* (atan2 x.im x.re) y.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (atan2 x.im x.re) y.re) (* (neg (neg (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) y.im))) (cos (* (atan2 x.im x.re) y.re)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (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) (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.re)) y.im)))) (* (atan2 x.im x.re) y.im) (* (neg (log x.re)) y.re) (pow (* (+ (* x.im x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) 1/4) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) |
| 129.0ms | im | @ | inf | ((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (/ (+ (* (* (pow (/ re im) 2) 1/2) (log 1/10)) (* (log 10) (neg (log im)))) (* (log 10) (log 1/10))) (+ (* (* (pow (/ re im) 2) 1/2) (log 1/10)) (* (log 10) (neg (log im)))) (* (pow (/ re im) 2) 1/2) (/ 0 0) (/ (* 2 (log (pow (+ (* im im) (* re re)) 1/4))) (log 10)) (* (log (sqrt im)) (/ 2 (neg (log 1/10)))) (log (sqrt im)) (sqrt im) (log (pow (+ (* im im) (* re re)) (/ -1/2 (log 1/10)))) (pow (+ (* im im) (* re re)) (/ -1/2 (log 1/10))) (+ (* im im) (* re re)) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (/ (+ (* (* (/ -1/2 (log 1/10)) (* re re)) (log 1/10)) (* (* im im) (neg (log im)))) (* (* im im) (log 1/10))) (+ (* (* (/ -1/2 (log 1/10)) (* re re)) (log 1/10)) (* (* im im) (neg (log im)))) (* (/ -1/2 (log 1/10)) (* re re)) (log 1/10) (log 10) (log im) (neg (log 1/10)) (/ -1/2 (log 1/10)) (neg (log im))) |
| 129.0ms | base | @ | 0 | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) |
| 118.0ms | x | @ | -inf | ((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x))) |
| 113.0ms | im | @ | inf | ((/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* (/ re im) (/ re im)) (* 2 (log im))) (* 0 (log 10)) (/ 0 (* 0 (log 10))) (log 10) (/ (* 2 (log (pow (+ (* im im) (* re re)) 1/4))) (log 10)) (* (log (sqrt im)) (/ 2 (log 10))) (log (sqrt im)) (sqrt im) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (/ -1/2 (log 1/10)) (log 1/10) (/ (- (log (sqrt (+ (* (pow im 3) (pow im 3)) (* (pow re 3) (pow re 3))))) (log (sqrt (+ (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (* (* im re) (* im re)))))) (log 10)) (- (log (sqrt (+ (* (pow im 3) (pow im 3)) (* (pow re 3) (pow re 3))))) (log (sqrt (+ (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (* (* im re) (* im re)))))) (log (sqrt (+ (* (pow im 3) (pow im 3)) (* (pow re 3) (pow re 3))))) (sqrt (+ (* (pow im 3) (pow im 3)) (* (pow re 3) (pow re 3)))) (log im) (* 2 (log im)) (neg (log im)) (log (sqrt (+ (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (* (* im re) (* im re))))) (* im re)) |
132 calls:
| 794.0ms | re |
| 649.0ms | im |
| 424.0ms | y.re |
| 395.0ms | beta |
| 384.0ms | x |
Compiled 13 894 to 9 562 computations (31.2% saved)
Compiled 257 700 to 109 529 computations (57.5% saved)
| 215× | binary-search |
| 196× | left-value |
| 203× | narrow-enough |
| 12× | predicate-same |
| 2.0s | 15 303× | 0 | valid |
| 509.0ms | 1 121× | 1 | valid |
| 32.0ms | 127× | 2 | valid |
| 7.0ms | 25× | 3 | valid |
Compiled 140 944 to 79 756 computations (43.4% saved)
ival-mult: 672.0ms (35.4% of total)ival-hypot: 212.0ms (11.2% of total)ival-add: 164.0ms (8.6% of total)ival-log: 118.0ms (6.2% of total)ival-atan2: 113.0ms (6% of total)ival-exp: 104.0ms (5.5% of total)const: 100.0ms (5.3% of total)adjust: 86.0ms (4.5% of total)ival-sub: 82.0ms (4.3% of total)ival-sin: 77.0ms (4.1% of total)ival-div: 72.0ms (3.8% of total)ival-cos: 50.0ms (2.6% of total)ival-sqrt: 13.0ms (0.7% of total)ival-true: 12.0ms (0.6% of total)ival-assert: 7.0ms (0.4% of total)ival-fabs: 5.0ms (0.3% of total)exact: 5.0ms (0.3% of total)ival-neg: 3.0ms (0.2% of total)ival-pi: 1.0ms (0.1% of total)| 58× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 0 |
| 55.4% | 47.8% | 38.5% | 13.7% | 0% | 0% | 0% | 1 |
| 65.9% | 55.7% | 28.9% | 13.7% | 0% | 1.7% | 0% | 2 |
| 71.2% | 58.4% | 23.6% | 13.7% | 0% | 4.3% | 0% | 3 |
| 77.4% | 62% | 18.1% | 13.7% | 0% | 6.2% | 0% | 4 |
| 83.5% | 66.8% | 13.2% | 13.7% | 0% | 6.3% | 0% | 5 |
| 85.8% | 68.3% | 11.3% | 13.7% | 0% | 6.6% | 0% | 6 |
| 88.3% | 70.3% | 9.4% | 13.7% | 0% | 6.6% | 0% | 7 |
| 89.9% | 71.5% | 8% | 13.7% | 0% | 6.8% | 0% | 8 |
| 91.1% | 72.5% | 7.1% | 13.7% | 0% | 6.8% | 0% | 9 |
| 92.6% | 73.6% | 5.9% | 13.7% | 0% | 6.8% | 0% | 10 |
| 94% | 74.7% | 4.8% | 13.7% | 0% | 6.8% | 0% | 11 |
| 94.5% | 75.1% | 4.4% | 13.7% | 0% | 6.9% | 0% | 12 |
Compiled 1 498 to 816 computations (45.5% saved)
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