Quadratic roots, medium range
Time bar (total: 3.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 28 computations (31.7% saved)
| 1.4s | 6 102× | 1 | valid |
| 311.0ms | 2 154× | 0 | valid |
| 170.0ms | 1 220× | 0 | invalid |
ival-mult: 323.0ms (22.5% of total)const: 208.0ms (14.5% of total)ival-div: 205.0ms (14.3% of total)ival-sqrt: 137.0ms (9.5% of total)adjust: 131.0ms (9.1% of total)ival-<: 130.0ms (9.1% of total)ival-add: 81.0ms (5.6% of total)ival-sub: 78.0ms (5.4% of total)ival-neg: 78.0ms (5.4% of total)ival-and: 46.0ms (3.2% of total)exact: 15.0ms (1% of total)ival-assert: 4.0ms (0.3% of total)| 2× | egg-herbie |
| 1 674× | div-sub |
| 1 120× | accelerator-lowering-fma.f32 |
| 1 120× | accelerator-lowering-fma.f64 |
| 1 048× | sub-neg |
| 796× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 175 |
| 1 | 170 | 160 |
| 2 | 474 | 160 |
| 3 | 1250 | 160 |
| 4 | 3323 | 160 |
| 5 | 6278 | 160 |
| 0 | 14 | 17 |
| 1 | 31 | 16 |
| 2 | 68 | 16 |
| 3 | 151 | 16 |
| 4 | 231 | 16 |
| 5 | 372 | 16 |
| 6 | 654 | 16 |
| 7 | 1122 | 16 |
| 8 | 2225 | 16 |
| 9 | 2509 | 16 |
| 10 | 2626 | 16 |
| 11 | 2681 | 16 |
| 12 | 2682 | 16 |
| 13 | 2682 | 16 |
| 14 | 2688 | 16 |
| 0 | 2688 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2)) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2)) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2)) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (- (sqrt (+ (* a a) (* b (* c -4)))) a) (* b 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
(/ (- (sqrt (+ (* c c) (* (* b a) -4))) c) (* a 2)) |
Compiled 72 to 16 computations (77.8% saved)
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