Herbie run
| Date: | Thursday, May 22nd, 2025 |
|---|---|
| Commit: | 089dffb0 on main |
| Seed: | 2025142 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs default |
| Memory: | 232 412.0 MB |
Time bar (total: 3.3min)
| 38.9s | 433 826× | 0 | valid |
| 7.5s | 26 331× | 1 | valid |
| 4.2s | 9 488× | 2 | valid |
| 1.1s | 4 315× | 0 | invalid |
| 774.0ms | 8 269× | 0 | exit |
| 326.0ms | 950× | 3 | valid |
ival-mult!: 9.6s (26.4% of total)ival-add!: 3.6s (9.8% of total)ival-hypot: 3.0s (8.2% of total)ival-exp: 2.9s (8.1% of total)ival-div!: 2.7s (7.5% of total)adjust: 2.0s (5.5% of total)ival-asin: 1.7s (4.7% of total)ival-sin: 1.6s (4.5% of total)ival-atan2: 1.6s (4.5% of total)ival-log: 1.6s (4.3% of total)ival-sub!: 1.4s (3.8% of total)ival-cos: 1.2s (3.4% of total)ival-acosh: 810.0ms (2.2% of total)ival-sqrt: 594.0ms (1.6% of total)ival-neg: 362.0ms (1% of total)ival-fabs: 320.0ms (0.9% of total)ival-pow: 311.0ms (0.9% of total)ival-asinh: 307.0ms (0.8% of total)ival-sinu: 299.0ms (0.8% of total)ival-atanh: 232.0ms (0.6% of total)ival-cosu: 154.0ms (0.4% of total)const: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)| 455× | iter-limit |
| 181× | node-limit |
| 14× | unsound |
| 4× | saturated |
1215 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 158.0ms | re | @ | -inf | ((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log (sqrt (+ (* re re) (* im im)))) (log im) (log (sqrt (+ (* re re) (* im im)))) (log re) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg im) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg re)) |
| 150.0ms | x.re | @ | -inf | ((* (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 (- (* y.re (log (fabs x.re))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log (fabs x.re))) (* y.re (atan2 x.im x.re))))) (exp (- (* y.re (log (fabs x.re))) (* y.im (atan2 x.im x.re)))) (- (* y.re (log (fabs x.re))) (* y.im (atan2 x.im x.re))) (* y.re (log (fabs x.re))) y.re (log (fabs x.re)) (fabs x.re) x.re (* y.im (atan2 x.im x.re)) y.im (atan2 x.im x.re) x.im (sin (+ (* y.im (log (fabs x.re))) (* y.re (atan2 x.im x.re)))) (+ (* y.im (log (fabs x.re))) (* y.re (atan2 x.im 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))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)) (* y.re (+ (* y.re (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (atan2 x.im x.re))) (atan2 x.im x.re))) (+ (* y.re (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (atan2 x.im x.re))) (atan2 x.im x.re)) (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (atan2 x.im x.re)) (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (sqrt (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re)) (* x.re x.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)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)) (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (sqrt (* x.re x.re)) y.re) (sqrt (* x.re x.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)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (exp (* -1 (* y.re (log (/ -1 x.im))))) (* -1 (* y.re (log (/ -1 x.im)))) -1 (* y.re (log (/ -1 x.im))) (log (/ -1 x.im)) (/ -1 x.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 (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.im x.im) (* (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 (* y.re (atan2 x.im x.re))) (* y.im (* (sin (+ (* y.re (atan2 x.im x.re)) (/ (PI) 2))) (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))) (* y.im (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (sin (* 1/2 (PI))))) (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (PI)) |
| 138.0ms | base | @ | 0 | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (* (atan2 im re) 0) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log re) (log base)) (log re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (fabs re)) (log base)) (log (fabs re)) (fabs re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (exp (log (neg (log base)))) 2)) (pow (exp (log (neg (log base)))) 2) (exp (log (neg (log base)))) (log (neg (log base))) (neg (log base))) |
| 137.0ms | beta | @ | 0 | ((/ (/ (+ (pow (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 3) 1) (+ (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2)))) (- 1 (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 1)))) 2) (/ (+ (pow (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 3) 1) (+ (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2)))) (- 1 (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 1)))) (+ (pow (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 3) 1) (pow (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 3) (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ alpha beta) alpha beta (/ (- beta alpha) (+ (+ alpha beta) (+ i i))) (- beta alpha) (+ (+ alpha beta) (+ i i)) (+ i i) i (+ (+ alpha beta) (+ (* i 2) 2)) (+ (* i 2) 2) 2 3 1 (+ (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2)))) (- 1 (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 1))) (- 1 (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 1)) (* (/ (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (+ i i)))) (+ (+ alpha beta) (+ (* i 2) 2))) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 1/2) (+ 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ beta (+ 2 beta)) (+ 2 beta) 1/2 (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 1/2) (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) -1/2 (/ (+ 2 (* 2 alpha)) beta) (+ 2 (* 2 alpha)) (* 2 alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (+ 1 (/ (* beta beta) (* (+ 2 (+ beta (+ i i))) (+ beta (+ i i))))) 1/2) (+ 1 (/ (* beta beta) (* (+ 2 (+ beta (+ i i))) (+ beta (+ i i))))) (/ (* beta beta) (* (+ 2 (+ beta (+ i i))) (+ beta (+ i i)))) (* beta beta) (* (+ 2 (+ beta (+ i i))) (+ beta (+ i i))) (+ 2 (+ beta (+ i i))) (+ beta (+ i i))) |
| 137.0ms | base | @ | inf | ((/ (/ (* (log base) (atan2 im re)) (log base)) (log base)) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (- (* (log base) (atan2 im re)) 0) 0 (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (log base))) (* (log base) (log base)))) (- (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (* (neg (* (log base) (log base))) 0)) (* (neg (* (log base) (atan2 im re))) (* (log base) (log base))) (neg (* (log base) (atan2 im re))) (* (neg (* (log base) (log base))) 0) (neg (* (log base) (log base))) (* (neg (* (log base) (log base))) (* (log base) (log base)))) |
Compiled 4 196 424 to 325 533 computations (92.2% saved)
| 37× | fuel |
| 20× | done |
Compiled 32 503 to 4 117 computations (87.3% saved)
| 49× | node-limit |
| 8× | saturated |
Compiled 94 706 to 32 992 computations (65.2% saved)
132 calls:
| 711.0ms | (cos.f64 re) |
| 551.0ms | x |
| 521.0ms | re |
| 485.0ms | im |
| 461.0ms | y.re |
Compiled 15 084 to 9 674 computations (35.9% saved)
Compiled 279 129 to 115 861 computations (58.5% saved)
| 186× | binary-search |
| 181× | left-value |
| 177× | narrow-enough |
| 9× | predicate-same |
| 1.2s | 12 014× | 0 | valid |
| 739.0ms | 1 765× | 1 | valid |
| 97.0ms | 233× | 2 | valid |
| 5.0ms | 20× | 3 | valid |
Compiled 132 432 to 72 241 computations (45.5% saved)
ival-mult!: 469.0ms (31.4% of total)ival-hypot: 213.0ms (14.3% of total)ival-log: 171.0ms (11.5% of total)ival-atan2: 121.0ms (8.1% of total)ival-sin: 117.0ms (7.8% of total)adjust: 101.0ms (6.8% of total)ival-exp: 63.0ms (4.2% of total)ival-add!: 58.0ms (3.9% of total)ival-sub!: 49.0ms (3.3% of total)ival-cos: 46.0ms (3.1% of total)ival-asin: 36.0ms (2.4% of total)ival-div!: 24.0ms (1.6% of total)ival-sqrt: 20.0ms (1.3% of total)ival-fabs: 2.0ms (0.1% of total)ival-neg: 1.0ms (0.1% of total)ival-pi: 0.0ms (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)
Loading profile data...