
| Date: | Wednesday, December 25th, 2024 |
|---|---|
| Commit: | c9389bd5 on prune-once-before-extraction |
| Seed: | 2024360 |
| 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: | 370 411.5 MB |
Time bar (total: 5.7min)
| 51.4s | 434 061× | 0 | valid |
| 9.5s | 26 465× | 1 | valid |
| 4.4s | 9 264× | 2 | valid |
| 2.0s | 4 368× | 0 | invalid |
| 1.4s | 8 985× | 0 | exit |
| 295.0ms | 844× | 3 | valid |
ival-mult: 14.0s (27.3% of total)ival-add: 5.7s (11.1% of total)const: 4.4s (8.6% of total)ival-div: 3.9s (7.6% of total)ival-exp: 3.8s (7.5% of total)adjust: 2.5s (4.9% of total)ival-sub: 2.5s (4.8% of total)ival-hypot: 2.4s (4.7% of total)ival-log: 2.2s (4.3% of total)ival-sin: 1.1s (2.2% of total)ival-asin: 1.1s (2.2% of total)ival-acosh: 1.0s (2% of total)ival-cos: 973.0ms (1.9% of total)ival-sqrt: 849.0ms (1.7% of total)ival-atan2: 700.0ms (1.4% of total)ival->: 414.0ms (0.8% of total)ival-sinu: 393.0ms (0.8% of total)ival-asinh: 390.0ms (0.8% of total)exact: 373.0ms (0.7% of total)ival-pow: 361.0ms (0.7% of total)ival-pi: 326.0ms (0.6% of total)ival-neg: 315.0ms (0.6% of total)ival-fabs: 315.0ms (0.6% of total)ival-true: 266.0ms (0.5% of total)ival-atanh: 240.0ms (0.5% of total)ival-assert: 206.0ms (0.4% of total)ival-<=: 202.0ms (0.4% of total)ival->=: 87.0ms (0.2% of total)ival-cosu: 85.0ms (0.2% of total)ival-and: 80.0ms (0.2% of total)| 457× | egg-herbie |
| 610× | iter limit |
| 384× | node limit |
| 73× | saturated |
| 459× | iter limit |
| 206× | node limit |
| 34× | fuel |
| 25× | unsound |
| 23× | done |
| 1× | saturated |
Compiled 34 556 to 4 422 computations (87.2% saved)
| 12.4s | 41 154× | 0 | valid |
| 6.0s | 5 230× | 1 | valid |
| 4.2s | 1 747× | 2 | valid |
| 1.2s | 2 657× | 0 | invalid |
| 172.0ms | 117× | 3 | valid |
| 161.0ms | 27× | 5 | exit |
| 94.0ms | 248× | 0 | exit |
| 18.0ms | 20× | 4 | valid |
Compiled 64 341 to 6 002 computations (90.7% saved)
ival-mult: 4.3s (25% of total)ival-add: 3.0s (17.6% of total)adjust: 1.8s (10.3% of total)ival-div: 1.5s (8.9% of total)const: 1.3s (7.4% of total)ival-sub: 909.0ms (5.2% of total)ival-exp: 657.0ms (3.8% of total)ival-hypot: 573.0ms (3.3% of total)ival-log: 567.0ms (3.3% of total)ival-pow: 492.0ms (2.8% of total)ival-sin: 377.0ms (2.2% of total)ival-acos: 275.0ms (1.6% of total)ival-sqrt: 232.0ms (1.3% of total)ival-neg: 193.0ms (1.1% of total)ival-asin: 187.0ms (1.1% of total)ival-cos: 187.0ms (1.1% of total)ival-pow2: 144.0ms (0.8% of total)ival-atan2: 111.0ms (0.6% of total)exact: 91.0ms (0.5% of total)ival-fabs: 50.0ms (0.3% of total)ival-pi: 45.0ms (0.3% of total)ival-log1p: 45.0ms (0.3% of total)ival-true: 40.0ms (0.2% of total)ival-cosu: 38.0ms (0.2% of total)ival-sinu: 29.0ms (0.2% of total)ival-copysign: 29.0ms (0.2% of total)ival-assert: 23.0ms (0.1% of total)ival-cosh: 19.0ms (0.1% of total)ival-asinh: 14.0ms (0.1% of total)ival-acosh: 7.0ms (0% of total)ival-sinh: 6.0ms (0% of total)| 610× | iter limit |
| 150× | node limit |
| 47× | unsound |
| 3× | saturated |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1197 | 0 |
-.f64 | #f | cancellation | 766 | 2 |
/.f64 | #f | o/o | 651 | 0 |
sqrt.f32 | #f | oflow-rescue | 184 | 0 |
sin.f64 | #f | sensitivity | 179 | 0 |
/.f64 | #f | o/n | 178 | 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 | 177 | 1 |
+.f64 | #f | cancellation | 146 | 0 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 125 | 2 |
sqrt.f64 | #f | uflow-rescue | 123 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 118 | 0 |
-.f64 | #f | nan-rescue | 116 | 0 |
/.f64 | #f | n/o | 92 | 0 |
*.f64 | #f | n*u | 80 | 0 |
/.f64 | #f | u/u | 73 | 0 |
+.f64 | #f | nan-rescue | 51 | 0 |
/.f64 | #f | u/n | 45 | 0 |
*.f64 | #f | n*o | 29 | 0 |
/.f64 | #f | n/u | 15 | 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 | 129 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 129 | |
exp.f64 | #f | sensitivity | 2 | 2 |
*.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 | 2 | 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 | 2 | |
| ↳ | (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 | 2 | |
| ↳ | (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 | 2 | |
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 | 105 | |
| ↳ | (*.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 | 62 | |
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 | 105 | |
| ↳ | (*.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 | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3588 | 38 |
| - | 192 | 10774 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3588 | 6 | 32 |
| - | 192 | 3 | 10771 |
| number | freq |
|---|---|
| 0 | 10812 |
| 1 | 3211 |
| 2 | 565 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 1 | 0 |
| - | 0 | 0 | 20 |
| 3.0s | 25 562× | 0 | valid |
| 2.2s | 2 654× | 1 | valid |
| 742.0ms | 904× | 2 | valid |
| 25.0ms | 64× | 3 | valid |
Compiled 13 558 to 2 283 computations (83.2% saved)
ival-mult: 902.0ms (24% of total)adjust: 468.0ms (12.4% of total)ival-add: 430.0ms (11.4% of total)const: 246.0ms (6.5% of total)ival-div: 240.0ms (6.4% of total)ival-exp: 234.0ms (6.2% of total)ival-hypot: 215.0ms (5.7% of total)ival-log: 214.0ms (5.7% of total)ival-sub: 141.0ms (3.7% of total)ival-atan2: 117.0ms (3.1% of total)ival-sqrt: 95.0ms (2.5% of total)ival-sin: 92.0ms (2.4% of total)ival-copysign: 67.0ms (1.8% of total)ival-asin: 65.0ms (1.7% of total)ival-cos: 55.0ms (1.5% of total)ival-cosu: 43.0ms (1.1% of total)ival-pow: 28.0ms (0.7% of total)ival-true: 25.0ms (0.7% of total)exact: 21.0ms (0.6% of total)ival-fabs: 17.0ms (0.5% of total)ival-pi: 14.0ms (0.4% of total)ival-assert: 13.0ms (0.3% of total)ival-neg: 12.0ms (0.3% of total)ival-log1p: 7.0ms (0.2% of total)ival-sinu: 7.0ms (0.2% of total)| 57× | egg-herbie |
| 114× | iter limit |
| 72× | node limit |
| 42× | saturated |
Compiled 77 758 to 13 951 computations (82.1% saved)
Compiled 3 761 885 to 284 851 computations (92.4% saved)
132 calls:
| 792.0ms | re |
| 713.0ms | im |
| 490.0ms | y.re |
| 486.0ms | y.im |
| 449.0ms | x |
Compiled 13 014 to 9 245 computations (29% saved)
1245 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 356.0ms | im | @ | -inf | ((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (pow im 3)) (neg im)) (* -1/2520 (* im im)) (+ (* (- (* -1/2520 (* im im)) 1/60) (* im im)) -1/3) (+ (* -1/5040 (* im im)) -1/120) (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (exp im) (+ (* -1/120 (* im im)) -1/6)) |
| 136.0ms | u1 | @ | 0 | ((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) (+ (* (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (pow (* (log u1) -2) 1/4) (* (pow (* (log u1) -2) 1/4) 1/6)) (cos (* (* 2 (PI)) u2))) (pow (* (log u1) -2) 1/4) (- (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (- (/ (pow (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 2) (- (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (/ 1/4 (- (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ (pow (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 2) (- (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (pow (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (* 2 (PI)) (cos (* u2 (* (PI) 2))) (sqrt (* (log u1) -2))) |
| 136.0ms | x | @ | -inf | ((log (* (log x) x)) (* (log x) x) (log x) (log (/ x (log x))) (/ x (log x))) |
| 124.0ms | x | @ | 0 | ((copysign (asinh (fabs x)) x) (asinh (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))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (+ (/ 1/2 x) (fabs x)) x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ (+ (/ 1/2 x) (fabs x)) x)) |
| 116.0ms | x | @ | 0 | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (+ (* (/ (fabs x) x) 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))) (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) 1) x) (/ (fabs x) x) (+ (* x x) 1) (sqrt (+ (* x x) 1))) |
Compiled 243 140 to 106 474 computations (56.2% saved)
| 259× | binary-search |
| 229× | left-value |
| 254× | narrow-enough |
| 5× | predicate-same |
| 2.6s | 16 573× | 0 | valid |
| 1.0s | 2 203× | 1 | valid |
| 100.0ms | 328× | 2 | valid |
| 36.0ms | 128× | 3 | valid |
Compiled 163 941 to 95 012 computations (42% saved)
ival-mult: 702.0ms (25.6% of total)ival-hypot: 652.0ms (23.8% of total)ival-add: 246.0ms (9% of total)ival-log: 198.0ms (7.2% of total)ival-exp: 162.0ms (5.9% of total)ival-sin: 143.0ms (5.2% of total)adjust: 128.0ms (4.7% of total)const: 107.0ms (3.9% of total)ival-sub: 105.0ms (3.8% of total)ival-cos: 91.0ms (3.3% of total)ival-atan2: 73.0ms (2.7% of total)ival-div: 72.0ms (2.6% of total)ival-sqrt: 21.0ms (0.8% of total)ival-true: 14.0ms (0.5% of total)ival-assert: 8.0ms (0.3% of total)ival-neg: 8.0ms (0.3% of total)exact: 7.0ms (0.3% of total)ival-fabs: 4.0ms (0.1% of total)ival-pi: 1.0ms (0% 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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