
Time bar (total: 1.4s)
| 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 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 8 to 7 computations (12.5% saved)
| 829.0ms | 8 256× | 0 | valid |
ival-mult!: 102.0ms (53.8% of total)ival-sqrt: 86.0ms (45.4% of total)adjust: 1.0ms (0.5% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 33 | 19 |
| 2 | 105 | 19 |
| 3 | 213 | 19 |
| 4 | 780 | 19 |
| 5 | 4039 | 19 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(abs x)
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx (* 2 (* x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x) |
| 1.0ms | x | @ | inf | ((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x) |
| 1.0ms | x | @ | 0 | ((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 61 |
| 0 | 22 | 60 |
| 1 | 50 | 57 |
| 0 | 179 | 51 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx (* 2 (* x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) |
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (+.f64 x x) x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (fabs.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (fabs.f64 x) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 x) (neg.f64 x)) |
(hypot.f64 (fabs.f64 x) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (fabs.f64 x)) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (fabs.f64 x))) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (fabs.f64 x)) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (+.f64 x x) x) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x x (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #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 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(approx (* 2 (* x x)) (*.f64 (+.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 728 to 200 computations (72.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 5 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 5 | 91 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (hypot.f64 x x) |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| ▶ | 52.9% | (sqrt.f64 (*.f64 (+.f64 x x) x)) |
| ▶ | 99.3% | #s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| ▶ | 2.2% | #s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 78 to 60 computations (23.1% saved)
| Inputs |
|---|
(hypot.f64 x x) |
x |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
(sqrt.f64 (*.f64 (+.f64 x x) x)) |
(*.f64 (+.f64 x x) x) |
(+.f64 x x) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x x)) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (neg x) (sqrt 2)) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (sqrt (* 2 x))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (sqrt (* 2 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ 2 x)))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* x (sqrt (/ 2 x))))) |
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* -1 (* x (sqrt (/ 2 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((sqrt (+ (* x x) (* x x))) x (sqrt (* 2 (* x x))) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* 2 (* x x))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (sqrt x)) |
| 2.0ms | x | @ | -inf | ((sqrt (+ (* x x) (* x x))) x (sqrt (* 2 (* x x))) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* 2 (* x x))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (sqrt x)) |
| 2.0ms | x | @ | 0 | ((sqrt (+ (* x x) (* x x))) x (sqrt (* 2 (* x x))) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* 2 (* x x))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (+ x x) x)) (* (+ x x) x) (+ x x) (* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (sqrt x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 209 |
| 0 | 76 | 162 |
| 1 | 165 | 102 |
| 0 | 659 | 102 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(hypot.f64 x x) |
x |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
(sqrt.f64 (*.f64 (+.f64 x x) x)) |
(*.f64 (+.f64 x x) x) |
(+.f64 x x) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x x)) |
(sqrt.f64 x) |
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (neg x) (sqrt 2)) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (sqrt (* 2 x))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (sqrt (* 2 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ 2 x)))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* x (sqrt (/ 2 x))))) |
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* -1 (* x (sqrt (/ 2 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
x |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (sqrt.f64 #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))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (sqrt.f64 x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))) |
(neg.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) x)) |
(neg.f64 x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#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))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* (neg x) (sqrt 2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt x) (*.f64 #s(literal 1 binary64) x)) |
#s(approx (* (sqrt (+ x x)) (sqrt x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (sqrt x) (neg.f64 x)) |
Compiled 532 to 145 computations (72.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 53 | 1 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 53 | 6 | 59 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| ✓ | 52.9% | (sqrt.f64 (*.f64 (+.f64 x x) x)) |
| ▶ | 5.3% | (sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
| ✓ | 99.3% | #s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| ✓ | 2.2% | #s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 45 to 35 computations (22.2% saved)
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (sqrt (+ x x)) #s(hole binary64 (sqrt (* 2 x)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* x (sqrt (/ 2 x))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* -1 (* x (sqrt (/ 2 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((sqrt (+ x x)) (+ x x) 2) |
| 0.0ms | x | @ | inf | ((sqrt (+ x x)) (+ x x) 2) |
| 0.0ms | x | @ | 0 | ((sqrt (+ x x)) (+ x x) 2) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 52 |
| 0 | 18 | 49 |
| 1 | 50 | 35 |
| 0 | 211 | 35 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (sqrt (* 2 x)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* x (sqrt (/ 2 x))))) |
#s(approx (sqrt (+ x x)) #s(hole binary64 (* -1 (* x (sqrt (/ 2 x)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (+ x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (+ x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ x x)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ x x) #s(literal 2 binary64)) |
#s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) x)) |
#s(approx (sqrt (+ x x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) |
Compiled 61 to 22 computations (63.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 6 | 0 | 6 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 6 | 6 | 12 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| ✓ | 52.9% | (sqrt.f64 (*.f64 (+.f64 x x) x)) |
| ✓ | 5.3% | (sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
| ✓ | 99.3% | #s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| ✓ | 2.2% | #s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 45 to 35 computations (22.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (+.f64 x x) x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (+.f64 x x) x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x x) #s(literal 2 binary64))) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(approx (sqrt (* 2 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (+.f64 x x) x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(hypot.f64 x x) |
| Outputs |
|---|
(hypot.f64 x x) |
16 calls:
| 10.0ms | (*.f64 x x) |
| 3.0ms | x |
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.3% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 5.3% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 5.3% | 1 | (*.f64 x x) |
| 5.3% | 1 | x |
| 99.3% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.3% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.3% | 1 | (*.f64 x x) |
| 99.3% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.5% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.5% | 1 | (*.f64 x x) |
| 99.5% | 1 | x |
| 100.0% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | x |
Compiled 111 to 73 computations (34.2% saved)
| 1× | done |
Compiled 27 to 17 computations (37% saved)
(abs x)
Compiled 87 to 64 computations (26.4% saved)
Loading profile data...