
| Date: | Tuesday, August 6th, 2024 |
|---|---|
| Commit: | 2.2 on release |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024219 |
| 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: 19.9min)
| 2 008 324× | lower-fma.f32 |
| 2 007 892× | lower-fma.f64 |
| 990 200× | lower-*.f32 |
| 988 852× | lower-*.f64 |
| 579 248× | lower-+.f32 |
| 320× | iter limit |
| 209× | node limit |
| 35× | fuel |
| 21× | done |
| 2× | unsound |
| 1× | saturated |
Compiled 36 473 to 14 476 computations (60.3% saved)
| 1.2min | 438 824× | 0 | valid |
| 24.1s | 3 778× | 5 | exit |
| 7.2s | 22 284× | 1 | valid |
| 3.8s | 8 611× | 2 | valid |
| 610.0ms | 7 853× | 0 | exit |
| 295.0ms | 874× | 3 | valid |
| 48.0ms | 539× | 0 | invalid |
ival-mult: 35.2s (39.5% of total)ival-sin: 19.2s (21.5% of total)ival-add: 5.5s (6.2% of total)adjust: 4.7s (5.2% of total)const: 3.9s (4.4% of total)ival-div: 3.6s (4% of total)ival-exp: 3.0s (3.4% of total)ival-hypot: 2.9s (3.3% of total)ival-sub: 1.8s (2% of total)ival-log: 1.7s (2% of total)ival-asin: 1.2s (1.4% of total)ival-cos: 1.2s (1.3% of total)ival-sqrt: 842.0ms (0.9% of total)ival-atan2: 715.0ms (0.8% of total)ival-pi: 458.0ms (0.5% of total)ival-<=: 426.0ms (0.5% of total)ival-pow: 374.0ms (0.4% of total)exact: 355.0ms (0.4% of total)ival-asinh: 313.0ms (0.4% of total)ival->: 276.0ms (0.3% of total)ival-acosh: 271.0ms (0.3% of total)ival-true: 264.0ms (0.3% of total)ival-atanh: 252.0ms (0.3% of total)ival-neg: 193.0ms (0.2% of total)ival-assert: 189.0ms (0.2% of total)ival-fabs: 171.0ms (0.2% of total)ival->=: 119.0ms (0.1% of total)ival-and: 75.0ms (0.1% of total)| 444× | egg-herbie |
| 3 695 724× | lower-fma.f32 |
| 3 694 868× | lower-fma.f64 |
| 1 300 230× | lower-*.f32 |
| 1 297 790× | lower-*.f64 |
| 880 452× | lower-+.f32 |
| 582× | iter limit |
| 268× | node limit |
| 176× | saturated |
Compiled 192 619 to 73 972 computations (61.6% saved)
| 194× | batch-egg-rewrite |
| 998 114× | lower-fma.f32 |
| 997 270× | lower-fma.f64 |
| 777 766× | lower-*.f32 |
| 775 474× | lower-*.f64 |
| 602 650× | lower-/.f32 |
| 409× | iter limit |
| 185× | node limit |
| 5× | saturated |
| 4× | unsound |
Compiled 12 938 502 to 504 633 computations (96.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1177 | 0 |
-.f64 | #f | cancellation | 794 | 4 |
/.f64 | #f | o/o | 614 | 0 |
sin.f64 | #f | sensitivity | 196 | 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 | 193 | 0 |
/.f64 | #f | o/n | 188 | 0 |
sqrt.f32 | #f | oflow-rescue | 184 | 0 |
+.f64 | #f | cancellation | 145 | 0 |
sqrt.f64 | #f | uflow-rescue | 143 | 0 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 132 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 127 | 5 |
-.f64 | #f | nan-rescue | 102 | 0 |
/.f64 | #f | n/o | 93 | 0 |
*.f64 | #f | n*u | 60 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 59 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 92 | |
| ↳ | (*.f64 i i) | underflow | 118 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 59 | |
+.f64 | #f | nan-rescue | 52 | 0 |
*.f64 | #f | n*o | 40 | 0 |
/.f64 | #f | u/n | 38 | 0 |
/.f64 | #f | n/u | 9 | 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 | 3 | 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 | 3 | |
| ↳ | (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 | 3 | |
| ↳ | (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 | 3 | |
log.f32 | #f | oflow-rescue | 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 | 59 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 103 | |
| ↳ | (*.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 | 66 | |
exp.f64 | (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) | sensitivity | 1 | 0 |
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 | 59 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 103 | |
| ↳ | (*.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 | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3599 | 46 |
| - | 197 | 10750 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3599 | 6 | 40 |
| - | 197 | 5 | 10745 |
| number | freq |
|---|---|
| 0 | 10796 |
| 1 | 3240 |
| 2 | 554 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 0 |
| - | 0 | 0 | 20 |
| 3.1s | 25 726× | 0 | valid |
| 1.1s | 2 500× | 1 | valid |
| 587.0ms | 906× | 2 | valid |
| 21.0ms | 52× | 3 | valid |
Compiled 15 068 to 2 968 computations (80.3% saved)
ival-mult: 894.0ms (28.2% of total)ival-add: 365.0ms (11.5% of total)ival-exp: 236.0ms (7.4% of total)ival-log: 216.0ms (6.8% of total)ival-div: 215.0ms (6.8% of total)const: 203.0ms (6.4% of total)adjust: 173.0ms (5.5% of total)ival-hypot: 168.0ms (5.3% of total)ival-sin: 129.0ms (4.1% of total)ival-sub: 114.0ms (3.6% of total)ival-cos: 97.0ms (3.1% of total)ival-asin: 69.0ms (2.2% of total)ival-atan2: 62.0ms (2% of total)ival-sqrt: 51.0ms (1.6% of total)ival-pi: 26.0ms (0.8% of total)ival-true: 26.0ms (0.8% of total)ival-pow: 26.0ms (0.8% of total)ival-fabs: 26.0ms (0.8% of total)exact: 20.0ms (0.6% of total)ival-log1p: 16.0ms (0.5% of total)ival-copysign: 12.0ms (0.4% of total)ival-assert: 12.0ms (0.4% of total)ival-neg: 12.0ms (0.4% of total)| 12.0s | 40 367× | 0 | valid |
| 3.9s | 4 266× | 1 | valid |
| 2.4s | 1 621× | 2 | valid |
| 1.3s | 2 996× | 0 | invalid |
| 452.0ms | 140× | 3 | valid |
| 173.0ms | 259× | 1 | exit |
| 5.0ms | 2× | 2 | exit |
| 5.0ms | 6× | 4 | valid |
| 4.0ms | 7× | 0 | exit |
Compiled 69 485 to 6 172 computations (91.1% saved)
ival-mult: 4.9s (31.9% of total)ival-add: 2.3s (14.9% of total)ival-div: 1.3s (8.6% of total)const: 1.2s (8.2% of total)adjust: 1.0s (6.9% of total)ival-log: 705.0ms (4.6% of total)ival-exp: 576.0ms (3.8% of total)ival-sub: 432.0ms (2.8% of total)ival-sqrt: 412.0ms (2.7% of total)ival-cos: 389.0ms (2.6% of total)ival-hypot: 382.0ms (2.5% of total)ival-sin: 286.0ms (1.9% of total)ival-pow: 201.0ms (1.3% of total)ival-asin: 190.0ms (1.2% of total)ival-acos: 131.0ms (0.9% of total)ival-neg: 125.0ms (0.8% of total)ival-copysign: 109.0ms (0.7% of total)ival-atan2: 107.0ms (0.7% of total)ival-pi: 95.0ms (0.6% of total)ival-pow2: 94.0ms (0.6% of total)exact: 70.0ms (0.5% of total)ival-log1p: 58.0ms (0.4% of total)ival-fabs: 51.0ms (0.3% of total)ival-true: 43.0ms (0.3% of total)ival-assert: 21.0ms (0.1% of total)ival-cosh: 12.0ms (0.1% of total)| 57× | egg-herbie |
| 296 104× | lower-fma.f64 |
| 296 104× | lower-fma.f32 |
| 79 264× | lower-*.f32 |
| 78 898× | lower-*.f64 |
| 56 582× | lower-+.f32 |
| 114× | iter limit |
| 76× | saturated |
| 38× | node limit |
Compiled 43 614 to 10 480 computations (76% saved)
130 calls:
| 1.1s | re |
| 955.0ms | im |
| 862.0ms | x |
| 606.0ms | x.im |
| 514.0ms | y.im |
Compiled 17 472 to 9 985 computations (42.9% saved)
6924 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 360.0ms | x | @ | 0 | (/ (- (* 1 (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1)) (* (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) 3))) (* (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1) (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1))) |
| 129.0ms | x.re | @ | 0 | (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) |
| 108.0ms | x | @ | 0 | (/ (- (/ 1 (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) 2))) (/ (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) 4) (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) 2)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) |
| 104.0ms | d1 | @ | 0 | (* d1 (* d1 (sqrt (sqrt d1)))) |
| 103.0ms | d1 | @ | inf | (+ (* d1 d2) (* d1 d3)) |
| 283× | left-value |
| 196× | binary-search |
| 184× | narrow-enough |
| 12× | predicate-same |
| 1.5s | 13 334× | 0 | valid |
| 655.0ms | 1 565× | 1 | valid |
| 56.0ms | 156× | 2 | valid |
| 13.0ms | 49× | 3 | valid |
Compiled 54 054 to 33 011 computations (38.9% saved)
ival-mult: 530.0ms (31.9% of total)ival-hypot: 188.0ms (11.3% of total)ival-log: 168.0ms (10.1% of total)ival-add: 147.0ms (8.9% of total)ival-sin: 146.0ms (8.8% of total)const: 93.0ms (5.6% of total)adjust: 69.0ms (4.2% of total)ival-cos: 62.0ms (3.7% of total)ival-exp: 61.0ms (3.7% of total)ival-sub: 59.0ms (3.6% of total)ival-atan2: 58.0ms (3.5% of total)ival-div: 49.0ms (3% of total)ival-sqrt: 11.0ms (0.7% of total)ival-true: 11.0ms (0.7% of total)ival-assert: 6.0ms (0.4% 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 |
| 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 821 computations (45.2% saved)
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