
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 37.5% | 62.5% | 0% | 0% | 0% | 0 |
| 0% | 0% | 37.5% | 62.5% | 0% | 0% | 0% | 1 |
| 0% | 0% | 18.7% | 62.5% | 0% | 18.7% | 0% | 2 |
| 0% | 0% | 9.4% | 62.5% | 0% | 28.1% | 0% | 3 |
| 0% | 0% | 9.4% | 62.5% | 0% | 28.1% | 0% | 4 |
| 0% | 0% | 7% | 62.5% | 0% | 30.4% | 0% | 5 |
| 20% | 1.2% | 4.7% | 62.5% | 0% | 31.6% | 0% | 6 |
| 25% | 1.2% | 3.5% | 62.5% | 0% | 32.8% | 0% | 7 |
| 40% | 1.8% | 2.6% | 62.5% | 0% | 33.1% | 0% | 8 |
| 51.9% | 2% | 1.9% | 62.5% | 0% | 33.5% | 0% | 9 |
| 64.7% | 2.4% | 1.3% | 62.5% | 0% | 33.7% | 0% | 10 |
| 72.9% | 2.6% | 1% | 62.5% | 0% | 33.9% | 0% | 11 |
| 80.2% | 2.7% | 0.7% | 62.5% | 0% | 34% | 0% | 12 |
Compiled 25 to 16 computations (36% saved)
| 680.0ms | 8 256× | 0 | valid |
| 64.0ms | 806× | 0 | invalid |
ival-mult: 147.0ms (32.1% of total)ival-fabs: 120.0ms (26.2% of total)ival-sqrt: 67.0ms (14.6% of total)ival-div: 61.0ms (13.3% of total)ival-sub: 45.0ms (9.8% of total)ival-<=: 7.0ms (1.5% of total)ival-and: 4.0ms (0.9% of total)adjust: 3.0ms (0.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 56 | 0 | - | 1 | (2.2022038807127295e-158 4.5445902143566e-162) | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0 | 0 | - | 0 | - | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) | u/u | 55 | 0 |
| ↳ | (*.f64 b b) | underflow | 193 | |
| ↳ | (-.f64 (*.f64 a a) (*.f64 b b)) | underflow | 55 | |
| ↳ | (*.f64 a a) | underflow | 55 | |
| ↳ | (*.f64 a a) | underflow | 55 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 55 | 1 |
| - | 0 | 200 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 55 | 0 | 1 |
| - | 0 | 0 | 200 |
| number | freq |
|---|---|
| 0 | 201 |
| 1 | 55 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 119 to 28 computations (76.5% saved)
ival-mult: 8.0ms (30.1% of total)ival-div: 7.0ms (26.4% of total)ival-sub: 5.0ms (18.8% of total)ival-sqrt: 4.0ms (15.1% of total)ival-fabs: 3.0ms (11.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 80 |
| 1 | 99 | 68 |
| 2 | 621 | 68 |
| 3 | 5836 | 68 |
| 0 | 8 | 13 |
| 0 | 14 | 13 |
| 1 | 37 | 11 |
| 2 | 204 | 11 |
| 3 | 2138 | 11 |
| 0 | 8528 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (fabs.f64 (-.f64 (/.f64 (fabs.f64 b) a) #s(literal 1 binary64))) (fabs.f64 (/.f64 (+.f64 (fabs.f64 b) a) a)))) |
(abs a)
(abs b)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.4% | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
| Outputs |
|---|
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))) |
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2))))) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2)))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2)))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2)))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | inf | ((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b) |
| 2.0ms | a | @ | inf | ((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b) |
| 1.0ms | a | @ | 0 | ((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b) |
| 1.0ms | b | @ | -inf | ((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b) |
| 1.0ms | a | @ | -inf | ((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 332 |
| 0 | 64 | 323 |
| 1 | 224 | 292 |
| 0 | 1833 | 291 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))) |
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2))))) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2)))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2)))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2)))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))))) |
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a)) |
(sqrt.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))) (sqrt.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))) |
(pow.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (*.f64 (neg.f64 a) a)) |
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (fabs.f64 a)) |
(/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) |
(sqrt.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)))) |
(fabs.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64))))) |
(fabs.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) |
(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))) |
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (-.f64 a b) (neg.f64 a))) |
(*.f64 (/.f64 (+.f64 b a) (fabs.f64 a)) (/.f64 (-.f64 a b) (fabs.f64 a))) |
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)) |
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (*.f64 a a))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))) |
(/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (neg.f64 a)) (neg.f64 a)) |
(/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (fabs.f64 a)) (fabs.f64 a)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))) (neg.f64 a)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) a) a)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) b) b)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) a) a (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a) |
(/.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))) (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (*.f64 a a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a) (*.f64 (*.f64 b b) (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)))) (*.f64 a a))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)))) (*.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b)) (*.f64 a a)) |
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 b b) (neg.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 b b) (fabs.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)) |
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(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
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a |
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(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
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(*.f64 b b) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b))) |
(fabs.f64 (*.f64 b b)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
b |
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (pow.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a)) (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) #s(literal 1/4 binary64))) |
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (/.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (*.f64 a a))) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a))) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))) |
#s(approx (- (* a a) (* b b)) (*.f64 #s(literal -1 binary64) (*.f64 b b))) |
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx a a) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))) |
#s(approx (- (* a a) (* b b)) (*.f64 a a)) |
#s(approx (- (* a a) (* b b)) (*.f64 (*.f64 a a) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))) |
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx b b) |
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal -1 binary64)) (pow.f64 (*.f64 a a) #s(literal -1 binary64))) (*.f64 b b))) |
#s(approx (- (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b) #s(literal -1 binary64)) (*.f64 b b))) |
Compiled 5 321 to 1 207 computations (77.3% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 1 | 278 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 277 | 2 | 279 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
| ✓ | 78.4% | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
Compiled 27 to 18 computations (33.3% saved)
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
(fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))) |
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2))))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)))) |
#s(approx (* (/ (neg b) a) (/ (neg b) a)) #s(hole binary64 (/ (pow b 2) (pow a 2)))) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) |
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2)))))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | ((sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (* (/ (neg b) a) (/ (neg b) a)) (/ (neg b) a) (neg b) b a -1 1) |
| 3.0ms | b | @ | 0 | ((sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (* (/ (neg b) a) (/ (neg b) a)) (/ (neg b) a) (neg b) b a -1 1) |
| 2.0ms | b | @ | -inf | ((sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (* (/ (neg b) a) (/ (neg b) a)) (/ (neg b) a) (neg b) b a -1 1) |
| 2.0ms | a | @ | 0 | ((sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (* (/ (neg b) a) (/ (neg b) a)) (/ (neg b) a) (neg b) b a -1 1) |
| 2.0ms | a | @ | inf | ((sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (* (/ (neg b) a) (/ (neg b) a)) (/ (neg b) a) (neg b) b a -1 1) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 315 |
| 0 | 62 | 266 |
| 1 | 211 | 214 |
| 0 | 1583 | 214 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
(fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))) |
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2))))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2)))) |
#s(approx (* (/ (neg b) a) (/ (neg b) a)) #s(hole binary64 (/ (pow b 2) (pow a 2)))) |
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) |
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2)))))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (sqrt.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) |
(pow.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (fabs.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (fabs.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) |
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) |
(fabs.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) |
(/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (neg.f64 (*.f64 (neg.f64 a) a))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (neg.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) a) a (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (*.f64 a a))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) a (*.f64 (*.f64 (*.f64 b b) a) a))) (*.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 (neg.f64 a) a)) |
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 a a)) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) (*.f64 a a))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 (neg.f64 a) a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 b a))) (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (/.f64 b a)) (*.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a a) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b))) |
(*.f64 (neg.f64 (fabs.f64 (/.f64 b a))) (neg.f64 (fabs.f64 (/.f64 b a)))) |
(*.f64 (fabs.f64 (fabs.f64 (/.f64 b a))) (fabs.f64 (fabs.f64 (/.f64 b a)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (pow.f64 (*.f64 a a) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) a)) |
(*.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 a a))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b))) |
(*.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(pow.f64 (fabs.f64 (/.f64 b a)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 b a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) b) (neg.f64 a)) |
(/.f64 (*.f64 b (*.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 b a) b)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (/.f64 b a) b) a) |
(/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b))) |
(fabs.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 #s(literal -1 binary64) b) a) |
(/.f64 b (neg.f64 a)) |
(neg.f64 (/.f64 b a)) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
b |
a |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (pow.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) b))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) |
#s(approx (* (/ (neg b) a) (/ (neg b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
#s(approx (/ (neg b) a) (*.f64 (/.f64 b a) #s(literal -1 binary64))) |
#s(approx a a) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1 binary64))) a) a)) |
#s(approx (neg b) (*.f64 #s(literal -1 binary64) b)) |
#s(approx b b) |
#s(approx (sqrt (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1))) (pow.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64))) |
#s(approx (fabs (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1)) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (/ (neg b) a) (/ (neg b) a)) -1) 1) (*.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal -1 binary64)) (pow.f64 (*.f64 a a) #s(literal -1 binary64))) (*.f64 b b))) |
Compiled 2 697 to 544 computations (79.8% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 0 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 131 | 2 | 133 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
| ✓ | 78.4% | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
Compiled 54 to 34 computations (37% saved)
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
7 calls:
| 6.0ms | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 a a) |
| 1.0ms | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 b b) |
| 100.0% | 1 | (*.f64 a a) |
| 100.0% | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 100.0% | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 100.0% | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 100.0% | 1 | a |
| 100.0% | 1 | b |
Compiled 44 to 31 computations (29.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
7 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 a a) |
| 1.0ms | (*.f64 b b) |
| 1.0ms | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | (*.f64 b b) |
| 78.4% | 1 | (*.f64 a a) |
| 78.4% | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 78.4% | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 78.4% | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 78.4% | 1 | a |
| 78.4% | 1 | b |
Compiled 44 to 31 computations (29.5% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 27 |
| 1 | 34 | 25 |
| 2 | 73 | 25 |
| 3 | 144 | 25 |
| 4 | 296 | 25 |
| 5 | 710 | 25 |
| 6 | 3668 | 25 |
| 7 | 7673 | 25 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 (fabs.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) b) a)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) b) a))) #s(literal -1 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 #s(literal -1 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) a)))) |
| 1× | done |
Compiled 40 to 22 computations (45% saved)
(abs b)
(abs a)
Compiled 346 to 192 computations (44.5% saved)
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