
Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 981.0ms | 8 256× | 0 | valid |
| 202.0ms | 2 633× | 0 | exit |
ival-expm1: 190.0ms (40.3% of total)ival-mult!: 136.0ms (28.9% of total)ival-sqrt: 80.0ms (17% of total)ival-div!: 63.0ms (13.4% of total)adjust: 2.0ms (0.4% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 41 |
| 1 | 82 | 39 |
| 2 | 337 | 39 |
| 3 | 2270 | 39 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.4% | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
Compiled 22 to 20 computations (9.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 430 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x)))))))) |
#s(approx (exp (* 2 x)) #s(literal 1 binary64)) |
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))) |
#s(approx x x) |
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (exp (* 2 x)) (exp.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (exp x) (exp.f64 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x)) |
| 2.0ms | x | @ | inf | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x)) |
| 1.0ms | x | @ | 0 | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 0 | 17 | 45 |
| 1 | 85 | 31 |
| 0 | 816 | 27 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(fabs.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) |
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) #s(literal 1 binary64)) (expm1.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))))) |
(*.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))))) |
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (sinh.f64 (+.f64 x x)))) |
(fma.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (sinh.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))))) |
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x)) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x))) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (sinh.f64 (+.f64 x x)))) |
(+.f64 (*.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x))))) (*.f64 (sinh.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 x) (exp.f64 x)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) |
(*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))))) |
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x))) |
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 (+.f64 x x))) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(-.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (sinh.f64 (+.f64 x x)))) |
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x)))) |
(fabs.f64 (exp.f64 (+.f64 x x))) |
(exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x)) |
(exp.f64 (+.f64 x x)) |
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (exp.f64 x) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x))) |
(+.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(-.f64 x (neg.f64 x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x)) |
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x)) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(*.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x))) |
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 x #s(literal 0 binary64))) |
(expm1.f64 x) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
Compiled 1 846 to 854 computations (53.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 5 | 205 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 5 | 206 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ▶ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
| ▶ | 64.2% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| ▶ | 71.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 64.6% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 132 to 130 computations (1.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 450 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
x |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 2 binary64) x) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (- (exp x) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (- (exp x) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (exp x) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx x x) |
#s(approx (* 1/2 (/ x (sqrt 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ x (sqrt 2)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* x (+ 1 (* 1/2 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (+ 2 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
#s(approx (+ 2 (* x (+ 1 (* 1/2 x)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ 2 (* x (+ 1 (* 1/2 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ 2 (* x (+ 1 (* 1/2 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ 2 x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (sqrt 2) (* 1/2 (/ x (sqrt 2))) 1/2 (/ x (sqrt 2)) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ 2 (* x (+ 1 (* 1/2 x)))) (* x (+ 1 (* 1/2 x))) (+ 1 (* 1/2 x)) 1 (* 1/2 x)) |
| 4.0ms | x | @ | inf | ((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ 2 x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (sqrt 2) (* 1/2 (/ x (sqrt 2))) 1/2 (/ x (sqrt 2)) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ 2 (* x (+ 1 (* 1/2 x)))) (* x (+ 1 (* 1/2 x))) (+ 1 (* 1/2 x)) 1 (* 1/2 x)) |
| 2.0ms | x | @ | 0 | ((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ 2 x) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (sqrt 2) (* 1/2 (/ x (sqrt 2))) 1/2 (/ x (sqrt 2)) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ 2 (* x (+ 1 (* 1/2 x)))) (* x (+ 1 (* 1/2 x))) (+ 1 (* 1/2 x)) 1 (* 1/2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 187 |
| 0 | 46 | 187 |
| 1 | 231 | 136 |
| 0 | 2238 | 128 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
x |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 2 binary64) x) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (sqrt.f64 (exp.f64 x))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(fabs.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 (neg.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))) |
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) #s(literal 1 binary64)) (expm1.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 x))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sinh.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (cosh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (*.f64 (sinh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (sinh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
#s(literal -1 binary64) |
(*.f64 (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 x (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(+.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 3 157 to 1 491 computations (52.8% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 5 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 358 | 7 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ▶ | 64.2% | (sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
| ▶ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ▶ | 64.2% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
| ▶ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
| ✓ | 71.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 63.6% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 159 to 159 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 500 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx x x) |
#s(approx (* (* x x) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ 2 (* 1/2 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (+ (- x -2) (* (* x x) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (- x -2) (* (* x x) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- x -2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ 2 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (- x -2) (* (* x x) 1/2)) (- x -2) x -2 (* (* x x) 1/2) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ 1 x) 1 -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (+ 2 (* 1/2 x)) 2 (* 1/2 x) (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1)) |
| 2.0ms | x | @ | -inf | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (- x -2) (* (* x x) 1/2)) (- x -2) x -2 (* (* x x) 1/2) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ 1 x) 1 -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (+ 2 (* 1/2 x)) 2 (* 1/2 x) (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1)) |
| 2.0ms | x | @ | 0 | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (- x -2) (* (* x x) 1/2)) (- x -2) x -2 (* (* x x) 1/2) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (+ 1 x) 1 -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (+ 2 (* 1/2 x)) 2 (* 1/2 x) (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 215 |
| 0 | 51 | 221 |
| 1 | 274 | 160 |
| 0 | 2778 | 157 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))) |
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -2 binary64)) x)) x) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64)))) (-.f64 x #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -2 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 8 binary64))) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) x #s(literal 8 binary64))) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
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(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal -8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64))))) (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) x))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64)))) |
(neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) x (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal -2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(fma.f64 x (/.f64 (-.f64 x #s(literal -2 binary64)) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(fma.f64 x (/.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (-.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -2 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x)) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -2 binary64) x)) |
(-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 x (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64))) (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64))))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -2 binary64))) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(+.f64 x (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x #s(literal -2 binary64)) x)) |
(*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 3 468 to 1 548 computations (55.4% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 5 | 379 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 377 | 9 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ▶ | 64.2% | (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
| ✓ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ▶ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))))) |
| ✓ | 64.2% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
| ✓ | 71.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 63.6% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ▶ | 70.3% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| ▶ | 2.8% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 208 to 208 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 473 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) |
(*.f64 x x) |
(-.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx x x) |
#s(approx (* 1/2 (/ x (sqrt 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ x (sqrt 2)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* x 1/2) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (exp x) -1)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x 1/2) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* x 1/2) 2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (+ (* (* x x) 1/2) (- x -2)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) (- x -2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* x x) 1/2) (- x -2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- x -2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (- x -1) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (* 1/2 (/ x (sqrt 2))) 1/2 (/ x (sqrt 2)) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* x x) 1/2) (- x -2)) (* x x) (- x -2) -2) |
| 2.0ms | x | @ | inf | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (- x -1) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (* 1/2 (/ x (sqrt 2))) 1/2 (/ x (sqrt 2)) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* x x) 1/2) (- x -2)) (* x x) (- x -2) -2) |
| 1.0ms | x | @ | 0 | ((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) (- x -1) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ 2 (* 1/2 x)) (sqrt 2)) (* 1/2 (/ x (sqrt 2))) 1/2 (/ x (sqrt 2)) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (+ (* x 1/2) 2) (sqrt 2)) (+ (* x 1/2) 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (* x x) 1/2) (- x -2)) (* x x) (- x -2) -2) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 215 |
| 0 | 52 | 211 |
| 1 | 277 | 176 |
| 0 | 2582 | 176 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) |
(*.f64 x x) |
(-.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(cosh.f64 (asinh.f64 #s(literal -1 binary64))) |
(cosh.f64 (asinh.f64 #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(fabs.f64 (sqrt.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))) (sqrt.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) |
(fabs.f64 (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) |
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(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 x #s(literal -2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 #s(literal -2 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 x #s(literal -2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))))) |
(neg.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) |
(neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal -2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 x #s(literal -2 binary64))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (-.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 #s(literal -2 binary64) x)))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal -2 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal -2 binary64) x)) |
(-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (-.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(-.f64 x (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 x #s(literal -2 binary64))) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x) |
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (-.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) x #s(literal 8 binary64)))) |
(neg.f64 (-.f64 #s(literal -2 binary64) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))) |
(-.f64 x #s(literal -2 binary64)) |
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) x) |
#s(literal -2 binary64) |
Compiled 3 178 to 1 434 computations (54.9% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 353 | 0 | 353 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 353 | 9 | 362 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ✓ | 64.2% | (sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
| ✓ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 66.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))))) |
| ✓ | 64.2% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
| ✓ | 71.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ✓ | 63.6% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | 70.3% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | 2.8% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 261 to 206 computations (21.1% saved)
| Inputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 100.0% | 1 | x |
Compiled 22 to 20 computations (9.1% saved)
Total -44.1b remaining (-239.8%)
Threshold costs -44.1b (-239.8%)
| Inputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(sqrt.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (/ (+ 2 (* 1/2 x)) (sqrt 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -2 binary64))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 3.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 71.3% | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 71.3% | 1 | x |
Compiled 22 to 20 computations (9.1% saved)
| 1× | done |
Compiled 16 to 16 computations (0% saved)
Compiled 27 to 26 computations (3.7% saved)
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