
Time bar (total: 6.9s)
| 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)
| 450.0ms | 8 256× | 0 | valid |
| 145.0ms | 2 694× | 0 | exit |
ival-expm1: 133.0ms (35.3% of total)ival-mult: 81.0ms (21.5% of total)ival-div: 73.0ms (19.4% of total)ival-sqrt: 73.0ms (19.4% of total)ival-true: 7.0ms (1.9% of total)exact: 6.0ms (1.6% of total)ival-assert: 4.0ms (1.1% of total)| 1× | egg-herbie |
| 15 394× | lower-fma.f64 |
| 15 394× | lower-fma.f32 |
| 2 850× | lower--.f32 |
| 2 846× | lower--.f64 |
| 2 458× | lower-*.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 32 | 27 |
| 2 | 55 | 27 |
| 3 | 89 | 27 |
| 4 | 143 | 13 |
| 5 | 250 | 13 |
| 6 | 513 | 13 |
| 7 | 2039 | 13 |
| 8 | 7136 | 13 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 29 | 12 |
| 2 | 35 | 12 |
| 3 | 47 | 12 |
| 4 | 73 | 7 |
| 5 | 126 | 5 |
| 6 | 203 | 5 |
| 7 | 606 | 5 |
| 8 | 2926 | 5 |
| 9 | 6783 | 5 |
| 0 | 8197 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node 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)))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 164 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
| 164 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 4 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 164 | 1 |
-.f64 | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | cancellation | 164 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 3 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 4 | |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 3 | |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/n | 1 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 167 | 0 |
| - | 1 | 88 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 167 | 0 | 0 |
| - | 1 | 1 | 87 |
| number | freq |
|---|---|
| 0 | 88 |
| 1 | 4 |
| 2 | 164 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 120 to 44 computations (63.3% saved)
ival-exp: 7.0ms (28.8% of total)ival-expm1: 6.0ms (24.7% of total)ival-mult: 4.0ms (16.5% of total)ival-div: 3.0ms (12.3% of total)ival-sqrt: 3.0ms (12.3% of total)exact: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.7% | (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 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 192 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 7104 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 15 394× | lower-fma.f64 |
| 15 394× | lower-fma.f32 |
| 2 850× | lower--.f32 |
| 2 846× | lower--.f64 |
| 2 458× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 0 | 17 | 45 |
| 1 | 29 | 45 |
| 2 | 35 | 45 |
| 3 | 47 | 45 |
| 4 | 73 | 35 |
| 5 | 126 | 31 |
| 6 | 203 | 31 |
| 7 | 606 | 31 |
| 8 | 2926 | 31 |
| 9 | 6783 | 31 |
| 0 | 8197 | 27 |
| 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 |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(expm1.f64 (+.f64 x x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 x x) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(expm1.f64 x) |
(exp.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (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 | 98.7% | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 41.0% | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 40.9% | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 28.0ms | 256× | 0 | valid |
Compiled 47 to 12 computations (74.5% saved)
ival-exp: 3.0ms (25% of total)ival-expm1: 3.0ms (25% of total)ival-div: 2.0ms (16.6% of total)ival-mult: 2.0ms (16.6% of total)ival-sqrt: 2.0ms (16.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))> |
#<alt (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))> |
#<alt (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 |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 x)))> |
#<alt (* x (+ 2 (* x (+ 2 (* 4/3 x)))))> |
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt (- (exp (* 2 x)) 1)> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
#<alt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
| 0.0ms | x | @ | inf | (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
| 0.0ms | x | @ | 0 | (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
| 0.0ms | x | @ | inf | (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
| 0.0ms | x | @ | 0 | (- (exp x) 1) |
| 1× | batch-egg-rewrite |
| 4 536× | lower-fma.f64 |
| 4 536× | lower-fma.f32 |
| 3 326× | lower-*.f32 |
| 3 324× | lower-*.f64 |
| 2 746× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 17 | 33 |
| 1 | 63 | 19 |
| 2 | 429 | 19 |
| 3 | 5036 | 19 |
| 0 | 8051 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) 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))) |
(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 |
|---|
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(+.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 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(+.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.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 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.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)))) |
(fma.f64 (expm1.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
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(*.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 x))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (expm1.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.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 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x)) (-.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (expm1.f64 x) #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(*.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 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 15 504× | lower-fma.f64 |
| 15 504× | lower-fma.f32 |
| 4 704× | lower-*.f64 |
| 4 704× | lower-*.f32 |
| 2 492× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 444 |
| 1 | 252 | 410 |
| 2 | 663 | 410 |
| 3 | 1425 | 404 |
| 4 | 2548 | 324 |
| 5 | 5907 | 289 |
| 0 | 8297 | 234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 4/3 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
(- (exp (* 2 x)) 1) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(* 2 x) |
(+.f64 x x) |
(* x (+ 2 (* 2 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x))) |
(* x (+ 2 (* x (+ 2 (* 4/3 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
(- (exp (* 2 x)) 1) |
(expm1.f64 (+.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 x #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/ (- (exp (* 2 x)) 1) (- (exp x) 1)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1313 | 13680 |
| 1 | 1314 | 13680 |
| 0 | 1314 | 13680 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(+.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 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(+.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.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 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.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)))) |
(fma.f64 (expm1.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 (exp.f64 x) (+.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (exp.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 (exp.f64 (+.f64 x x)) (+.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)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.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)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.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)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (expm1.f64 x) #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(*.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 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(+.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 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(+.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.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 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.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)))) |
(fma.f64 (expm1.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 (exp.f64 x) (+.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (exp.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 (exp.f64 (+.f64 x x)) (+.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)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.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)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x)) (-.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64))) (pow.f64 (expm1.f64 x) #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (expm1.f64 x) #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x))))) |
(*.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 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
Compiled 813 to 72 computations (91.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 7 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 88 | 7 | 95 |
| Status | Accuracy | Program |
|---|---|---|
| 64.6% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| 65.6% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| ▶ | 64.3% | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ▶ | 65.9% | (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ▶ | 63.8% | (sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
| ▶ | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ▶ | 70.2% | (sqrt.f64 #s(literal 2 binary64)) |
Compiled 124 to 92 computations (25.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 400× | lower-fma.f32 |
| 390× | lower-fma.f64 |
| 134× | lower-*.f64 |
| 134× | lower-*.f32 |
| 132× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 85 |
| 0 | 36 | 85 |
| 1 | 65 | 85 |
| 2 | 109 | 85 |
| 3 | 199 | 85 |
| 4 | 247 | 85 |
| 5 | 252 | 85 |
| 0 | 252 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(+.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(+.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 29.0ms | 170× | 0 | valid |
| 15.0ms | 86× | 0 | invalid |
Compiled 101 to 25 computations (75.2% saved)
ival-add: 9.0ms (29.6% of total)ival-sqrt: 8.0ms (26.3% of total)ival-mult: 7.0ms (23% of total)const: 3.0ms (9.9% of total)ival-exp: 2.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))> |
#<alt (exp.f64 x)> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (sqrt.f64 (+.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 x #s(literal 2 binary64))> |
#<alt (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))> |
#<alt (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))> |
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt (sqrt (+ 1 (exp x)))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 x)> |
#<alt (+ 2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* x (+ (* -1/4 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2))))))> |
#<alt (* x (+ (sqrt 1/2) (+ (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 2) (sqrt 1/2)))) (/ 1/2 (* x (sqrt 1/2))))))> |
#<alt (* x (+ (sqrt 1/2) (+ (* -1/4 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 2) (sqrt 1/2)))) (/ 1/2 (* x (sqrt 1/2)))))))> |
#<alt (* -1 (* x (sqrt 1/2)))> |
#<alt (* -1 (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2)))))))> |
#<alt (* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* x (sqrt 1/2)))) (* 1/2 (/ 1 (sqrt 1/2)))) x)))))> |
#<alt (* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* x (pow (sqrt 1/2) 3)))) (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (* (sqrt (pow x 3)) (sqrt 1/6))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 2 (* 1/16 (/ x (pow (sqrt 1/6) 2)))) (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))))> |
#<alt (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6)))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (sqrt -1) (sqrt -1/6)))) (* -1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (- 2 (* -1/16 (/ x (pow (sqrt -1/6) 2))))) (sqrt -1/6))))) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (sqrt (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 2)) |
| 1.0ms | x | @ | inf | (sqrt (+ x 2)) |
| 1.0ms | x | @ | -inf | (sqrt (+ x 2)) |
| 1.0ms | x | @ | inf | (sqrt (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 2)) |
| 1.0ms | x | @ | inf | (sqrt (+ (* x (+ (* x 1/2) 1)) 2)) |
| 1× | batch-egg-rewrite |
| 4 436× | lower-fma.f32 |
| 4 426× | lower-fma.f64 |
| 4 404× | lower-/.f64 |
| 4 404× | lower-/.f32 |
| 4 290× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 71 |
| 0 | 36 | 71 |
| 1 | 151 | 71 |
| 2 | 1138 | 71 |
| 0 | 8255 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(+.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.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) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (+.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))) |
| 1× | egg-herbie |
| 11 602× | lower-fma.f64 |
| 11 602× | lower-fma.f32 |
| 5 042× | lower-*.f64 |
| 5 042× | lower-*.f32 |
| 3 340× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1514 |
| 1 | 881 | 1294 |
| 2 | 2977 | 1264 |
| 0 | 8382 | 1149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
(sqrt (+ 1 (exp x))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
2 |
(+ 2 x) |
(+ 2 x) |
(+ 2 x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* x (+ (* -1/4 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(* x (sqrt 1/2)) |
(* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2)))))) |
(* x (+ (sqrt 1/2) (+ (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 2) (sqrt 1/2)))) (/ 1/2 (* x (sqrt 1/2)))))) |
(* x (+ (sqrt 1/2) (+ (* -1/4 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 2) (sqrt 1/2)))) (/ 1/2 (* x (sqrt 1/2))))))) |
(* -1 (* x (sqrt 1/2))) |
(* -1 (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2))))))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* x (sqrt 1/2)))) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* x (pow (sqrt 1/2) 3)))) (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(* (sqrt (pow x 3)) (sqrt 1/6)) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 2 (* 1/16 (/ x (pow (sqrt 1/6) 2)))) (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))) |
(* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (sqrt -1) (sqrt -1/6)))) (* -1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (- 2 (* -1/16 (/ x (pow (sqrt -1/6) 2))))) (sqrt -1/6))))) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6))) |
| Outputs |
|---|
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt (+ 1 (exp x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* x (+ (* -1/4 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2)))))) |
(fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* x (+ (sqrt 1/2) (+ (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 2) (sqrt 1/2)))) (/ 1/2 (* x (sqrt 1/2)))))) |
(fma.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* x (+ (sqrt 1/2) (+ (* -1/4 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 2) (sqrt 1/2)))) (/ 1/2 (* x (sqrt 1/2))))))) |
(+.f64 (fma.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)))) |
(* -1 (* x (sqrt 1/2))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2))))))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* x (sqrt 1/2)))) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
(-.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* x (pow (sqrt 1/2) 3)))) (* 1/2 (/ (- 2 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (pow x 3)) (sqrt 1/6)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 2 (* 1/16 (/ x (pow (sqrt 1/6) 2)))) (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/16 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/6 binary64))))))) |
(* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6))) |
(*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (sqrt -1) (sqrt -1/6)))) (* -1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (- 2 (* -1/16 (/ x (pow (sqrt -1/6) 2))))) (sqrt -1/6))))) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/16 binary64) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/6 binary64)))) x) (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1/6 binary64))))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1238 | 11838 |
| 1 | 1240 | 11838 |
| 0 | 1240 | 11838 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.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) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.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)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(exp.f64 x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.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))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x x (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (+.f64 x #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -2 binary64))))) |
(pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.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) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.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)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(exp.f64 x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.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))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (fma.f64 x x (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (+.f64 x #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -2 binary64))))) |
(pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))) |
Compiled 2 893 to 205 computations (92.9% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 7 | 284 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 277 | 14 | 291 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.6% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| ▶ | 65.6% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| 2.9% | (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) | |
| 2.5% | (sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) | |
| ✓ | 64.3% | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | 65.9% | (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ▶ | 4.3% | (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
| ✓ | 63.8% | (sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ▶ | 3.3% | (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| 18.6% | (sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) | |
| 2.2% | (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) | |
| ▶ | 2.5% | (sqrt.f64 x) |
| ✓ | 70.2% | (sqrt.f64 #s(literal 2 binary64)) |
Compiled 229 to 158 computations (31% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| 1 188× | lower-fma.f32 |
| 1 174× | lower-fma.f64 |
| 538× | lower-*.f32 |
| 534× | lower-*.f64 |
| 284× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 109 |
| 0 | 41 | 109 |
| 1 | 79 | 109 |
| 2 | 181 | 109 |
| 3 | 294 | 109 |
| 4 | 403 | 109 |
| 5 | 447 | 109 |
| 6 | 632 | 109 |
| 7 | 699 | 109 |
| 8 | 853 | 109 |
| 0 | 853 | 109 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
#s(literal 3/16 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
(sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
#s(literal 7/192 binary64) |
#s(literal 3/16 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
#s(literal 3/16 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(sqrt.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
(sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
#s(literal 7/192 binary64) |
#s(literal 3/16 binary64) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 82.2% | (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| 43.0ms | 161× | 0 | invalid |
| 18.0ms | 94× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 125 to 29 computations (76.8% saved)
ival-mult: 13.0ms (35.5% of total)ival-add: 8.0ms (21.9% of total)ival-sqrt: 7.0ms (19.1% of total)const: 6.0ms (16.4% of total)ival-div: 2.0ms (5.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 x (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)> |
#<alt (*.f64 x x)> |
#<alt (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))> |
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))> |
#<alt (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))> |
| Outputs |
|---|
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (* 3/16 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))> |
#<alt (* 3/16 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 3/16 x))> |
#<alt (+ 1/2 (* 3/16 x))> |
#<alt (+ 1/2 (* 3/16 x))> |
#<alt (* 3/16 x)> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* 3/16 x)> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (+ (sqrt x) (* 1/4 (sqrt (pow x 3))))> |
#<alt (+ (sqrt x) (* (pow x 2) (+ (* -1/32 (sqrt x)) (* 1/4 (sqrt (/ 1 x))))))> |
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/4 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/32 (sqrt (/ 1 (pow x 3)))) (* 1/128 (sqrt (/ 1 x))))))))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2))))))> |
#<alt (* x (- (+ (sqrt 1/2) (/ 1/2 (* x (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (pow (sqrt 1/2) 3)))))> |
#<alt (* x (- (+ (sqrt 1/2) (+ (/ 1/2 (* x (sqrt 1/2))) (* 1/16 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))))> |
#<alt (* -1 (* x (sqrt 1/2)))> |
#<alt (* -1 (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2)))))))> |
#<alt (* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) x)))))> |
#<alt (* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* x (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (+ (sqrt 1/2) (* 1/12 (/ x (sqrt 1/2)))))> |
#<alt (* x (+ (sqrt 1/2) (* x (+ (* -1/288 (/ x (pow (sqrt 1/2) 3))) (* 1/12 (/ 1 (sqrt 1/2)))))))> |
#<alt (* x (+ (sqrt 1/2) (* x (+ (* x (- (* 1/3456 (/ x (pow (sqrt 1/2) 5))) (* 1/288 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/12 (/ 1 (sqrt 1/2)))))))> |
#<alt (* (sqrt (pow x 3)) (sqrt 1/6))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))> |
#<alt (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))> |
#<alt (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt 1/6) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))))> |
#<alt (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6)))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))> |
#<alt (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))> |
#<alt (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/6) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/6) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))> |
#<alt (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* x (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))> |
#<alt (* 7/192 (/ (pow x 3) (sqrt 2)))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2))))))> |
#<alt (* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (* 7/192 (/ 1 (sqrt 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 2)))) (/ (sqrt 2) (pow x 3))))))> |
#<alt (* 7/192 (/ (pow x 3) (sqrt 2)))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))) x)) (* 7/192 (/ 1 (sqrt 2))))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))) x)) (* 7/192 (/ 1 (sqrt 2))))))> |
#<alt 3/16> |
#<alt (+ 3/16 (* 7/192 x))> |
#<alt (+ 3/16 (* 7/192 x))> |
#<alt (+ 3/16 (* 7/192 x))> |
#<alt (* 7/192 x)> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* 7/192 x)> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* (/ x (sqrt 2)) (+ (* x (+ (* x 7/192) 3/16)) 1/2)) (sqrt 2)) |
| 2.0ms | x | @ | inf | (* (+ (* x 1/6) 1/2) (* x x)) |
| 1.0ms | x | @ | -inf | (sqrt (* (+ (* x 1/6) 1/2) (* x x))) |
| 1.0ms | x | @ | inf | (sqrt (* (+ (* x 1/6) 1/2) (* x x))) |
| 1.0ms | x | @ | inf | (/ x (sqrt 2)) |
| 1× | batch-egg-rewrite |
| 4 690× | lower-fma.f32 |
| 4 676× | lower-fma.f64 |
| 4 352× | lower-/.f32 |
| 4 350× | lower-/.f64 |
| 3 602× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 78 |
| 0 | 41 | 78 |
| 1 | 177 | 77 |
| 2 | 1519 | 76 |
| 0 | 8215 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(*.f64 x x) |
(sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x (*.f64 #s(literal 3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3/16 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal 3/16 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 3/16 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(*.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
| 1× | egg-herbie |
| 10 782× | lower-fma.f64 |
| 10 782× | lower-fma.f32 |
| 4 716× | lower-*.f64 |
| 4 716× | lower-*.f32 |
| 2 572× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 1362 |
| 1 | 796 | 1335 |
| 2 | 2371 | 1274 |
| 3 | 5699 | 1245 |
| 0 | 8235 | 1152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2))))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2))))) |
1/2 |
(+ 1/2 (* 3/16 x)) |
(+ 1/2 (* 3/16 x)) |
(+ 1/2 (* 3/16 x)) |
(* 3/16 x) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* 3/16 x) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/32 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/4 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/32 (sqrt (/ 1 (pow x 3)))) (* 1/128 (sqrt (/ 1 x)))))))) |
(* x (sqrt 1/2)) |
(* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2)))))) |
(* x (- (+ (sqrt 1/2) (/ 1/2 (* x (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(* x (- (+ (sqrt 1/2) (+ (/ 1/2 (* x (sqrt 1/2))) (* 1/16 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) |
(* -1 (* x (sqrt 1/2))) |
(* -1 (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2))))))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* x (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x (sqrt 1/2)) |
(* x (+ (sqrt 1/2) (* 1/12 (/ x (sqrt 1/2))))) |
(* x (+ (sqrt 1/2) (* x (+ (* -1/288 (/ x (pow (sqrt 1/2) 3))) (* 1/12 (/ 1 (sqrt 1/2))))))) |
(* x (+ (sqrt 1/2) (* x (+ (* x (- (* 1/3456 (/ x (pow (sqrt 1/2) 5))) (* 1/288 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/12 (/ 1 (sqrt 1/2))))))) |
(* (sqrt (pow x 3)) (sqrt 1/6)) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt 1/6) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))) |
(* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/6) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/6) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2)))))) |
(* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (* 7/192 (/ 1 (sqrt 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 2)))) (/ (sqrt 2) (pow x 3)))))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))) x)) (* 7/192 (/ 1 (sqrt 2)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))) x)) (* 7/192 (/ 1 (sqrt 2)))))) |
3/16 |
(+ 3/16 (* 7/192 x)) |
(+ 3/16 (* 7/192 x)) |
(+ 3/16 (* 7/192 x)) |
(* 7/192 x) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* 7/192 x) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
| Outputs |
|---|
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))) |
(* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 3/16 x)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 3/16 x)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 3/16 x)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* 3/16 x) |
(*.f64 x #s(literal 3/16 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* 3/16 x) |
(*.f64 x #s(literal 3/16 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) |
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/32 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/32 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/4 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/32 (sqrt (/ 1 (pow x 3)))) (* 1/128 (sqrt (/ 1 x)))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/128 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (sqrt.f64 x)) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2)))))) |
(fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* x (- (+ (sqrt 1/2) (/ 1/2 (* x (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(-.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)))) |
(* x (- (+ (sqrt 1/2) (+ (/ 1/2 (* x (sqrt 1/2))) (* 1/16 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) |
(fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64))))) |
(* -1 (* x (sqrt 1/2))) |
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (sqrt 1/2) (* 1/2 (/ 1 (* x (sqrt 1/2))))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* x (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) x))))) |
(-.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (+ (sqrt 1/2) (* 1/12 (/ x (sqrt 1/2))))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* x (+ (sqrt 1/2) (* x (+ (* -1/288 (/ x (pow (sqrt 1/2) 3))) (* 1/12 (/ 1 (sqrt 1/2))))))) |
(*.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* x (+ (sqrt 1/2) (* x (+ (* x (- (* 1/3456 (/ x (pow (sqrt 1/2) 5))) (* 1/288 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/12 (/ 1 (sqrt 1/2))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3456 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (sqrt (pow x 3)) (sqrt 1/6)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt 1/6) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64)))))))) |
(* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1/6 binary64))))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/6) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/6) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (+ (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 7/192 binary64) (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/192 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (/ 1/2 (* (pow x 2) (sqrt 2))) (* 7/192 (/ 1 (sqrt 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 7/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow x 3) (+ (/ 3/16 (* x (sqrt 2))) (+ (* 7/192 (/ 1 (sqrt 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 2)))) (/ (sqrt 2) (pow x 3)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 7/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/192 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))) x)) (* 7/192 (/ 1 (sqrt 2)))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x))) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))) x)) (* 7/192 (/ 1 (sqrt 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) x))) |
3/16 |
#s(literal 3/16 binary64) |
(+ 3/16 (* 7/192 x)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(+ 3/16 (* 7/192 x)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(+ 3/16 (* 7/192 x)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* 7/192 x) |
(*.f64 x #s(literal 7/192 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* 7/192 x) |
(*.f64 x #s(literal 7/192 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1111 | 11263 |
| 1 | 1112 | 11263 |
| 0 | 1112 | 11263 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x (*.f64 #s(literal 3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
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(+.f64 (*.f64 x #s(literal 7/192 binary64)) #s(literal 3/16 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (neg.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(-.f64 (/.f64 #s(literal 9/256 binary64) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(fma.f64 #s(literal 7/192 binary64) x #s(literal 3/16 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (neg.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))) (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (neg.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(/.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (*.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)) #s(literal 9/256 binary64))) (*.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)))) (neg.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (fma.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(*.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x (*.f64 #s(literal 3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3/16 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal 3/16 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 3/16 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/4096 binary64) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9/256 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 3/32 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) (-.f64 #s(literal 9/256 binary64) (*.f64 x #s(literal 7/1024 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(*.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
Compiled 3 809 to 192 computations (95% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 6 | 334 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 330 | 18 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.6% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| 1.0% | (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/128 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (sqrt.f64 x)) | |
| 2.5% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/192 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| ▶ | 4.1% | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
| ▶ | 3.1% | (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
| 4.3% | (*.f64 x (*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 2.9% | (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
| ▶ | 2.5% | (sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
| ✓ | 64.3% | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | 65.9% | (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | 4.3% | (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
| ✓ | 63.8% | (sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 3.3% | (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| ▶ | 18.6% | (sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
| 2.2% | (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ✓ | 2.5% | (sqrt.f64 x) |
| ✓ | 70.2% | (sqrt.f64 #s(literal 2 binary64)) |
Compiled 317 to 216 computations (31.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 192 | (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 320 | (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 2432 | (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
| 7 394× | lower-fma.f32 |
| 7 386× | lower-fma.f64 |
| 2 812× | lower-*.f32 |
| 2 798× | lower-*.f64 |
| 1 638× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 210 |
| 0 | 60 | 202 |
| 1 | 112 | 202 |
| 2 | 254 | 202 |
| 3 | 518 | 200 |
| 4 | 967 | 200 |
| 5 | 1671 | 200 |
| 6 | 4554 | 184 |
| 7 | 7047 | 184 |
| 0 | 8029 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) |
#s(literal -1/6 binary64) |
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
x |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
#s(literal 3/16 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
x |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
#s(literal 7/192 binary64) |
#s(literal 3/16 binary64) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) |
(-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x x))) |
#s(literal -1/6 binary64) |
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -2 binary64) x))) (*.f64 x x)) |
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x x)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
x |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
#s(literal 3/16 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
x |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
#s(literal 7/192 binary64) |
#s(literal 3/16 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 75.0% | (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
| 43.0ms | 161× | 0 | invalid |
| 34.0ms | 94× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 222 to 39 computations (82.4% saved)
const: 19.0ms (31.4% of total)ival-mult: 17.0ms (28.1% of total)ival-div: 8.0ms (13.2% of total)ival-add: 8.0ms (13.2% of total)ival-sqrt: 6.0ms (9.9% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))> |
#<alt (/.f64 #s(literal -2 binary64) (*.f64 x x))> |
#<alt (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))> |
#<alt (sqrt.f64 #s(literal 1/2 binary64))> |
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)> |
#<alt (/.f64 x (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))> |
#<alt (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))))> |
#<alt (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))> |
| Outputs |
|---|
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6)))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 3))> |
#<alt (/ (- (* -1 x) 2) (pow x 3))> |
#<alt (/ (- (* x (- (* -1/2 x) 1)) 2) (pow x 3))> |
#<alt (/ (- (* x (- (* -1/2 x) 1)) 2) (pow x 3))> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1/2) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1/2) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt (* x (sqrt 1/2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (sqrt x)> |
#<alt (+ (sqrt x) (* 1/4 (sqrt (pow x 3))))> |
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/12 (sqrt x)) (* 1/4 (sqrt (/ 1 x))))))> |
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/4 (sqrt (/ 1 x))) (* x (+ (* -1/32 (sqrt (/ 1 x))) (* 1/12 (sqrt (/ 1 x))))))))> |
#<alt (* (sqrt (pow x 3)) (sqrt 1/6))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))> |
#<alt (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))))> |
#<alt (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6)))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))> |
#<alt (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (sqrt -1) (sqrt -1/6)))) (* 1/32 (* (sqrt x) (/ (sqrt -1) (pow (sqrt -1/6) 3))))) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (/ x (sqrt 2))> |
#<alt (* 1/2 (/ x (sqrt 2)))> |
#<alt (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))> |
#<alt (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))> |
#<alt (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))> |
#<alt (* 3/16 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* 3/16 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 3/16 x))> |
#<alt (+ 1/2 (* 3/16 x))> |
#<alt (+ 1/2 (* 3/16 x))> |
#<alt (* 3/16 x)> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* 3/16 x)> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 3/16 (* 1/2 (/ 1 x))))> |
#<alt (* 3/16 (/ x (sqrt 2)))> |
#<alt (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* 7/192 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* 7/192 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* 3/16 (/ (pow x 2) (sqrt 2)))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2)))))> |
#<alt (* 7/192 (/ (pow x 3) (sqrt 2)))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* 7/192 (/ (pow x 3) (sqrt 2)))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt (* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2))))))> |
#<alt 3/16> |
#<alt (+ 3/16 (* 7/192 x))> |
#<alt (+ 3/16 (* 7/192 x))> |
#<alt (+ 3/16 (* 7/192 x))> |
#<alt (* 7/192 x)> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* 7/192 x)> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
#<alt (* x (+ 7/192 (* 3/16 (/ 1 x))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (* (/ x (sqrt 2)) (+ (* x 7/192) 3/16)) |
| 1.0ms | x | @ | 0 | (/ (+ (+ -1/2 (/ -1 x)) (/ -2 (* x x))) x) |
| 0.0ms | x | @ | -inf | (* (/ x (sqrt 2)) (+ (* x 7/192) 3/16)) |
| 0.0ms | x | @ | 0 | (* x (sqrt 1/2)) |
| 0.0ms | x | @ | 0 | (* (/ x (sqrt 2)) (+ (* x 7/192) 3/16)) |
| 1× | batch-egg-rewrite |
| 5 244× | lower-/.f32 |
| 5 236× | lower-/.f64 |
| 4 106× | lower-fma.f32 |
| 4 098× | lower-fma.f64 |
| 3 454× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 120 |
| 0 | 58 | 116 |
| 1 | 225 | 116 |
| 2 | 1976 | 116 |
| 0 | 8292 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
(*.f64 x x) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x)))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64))) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 7/192 binary64))) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 7/192 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (*.f64 (*.f64 x #s(literal 7/192 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 7/192 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 7/192 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 x (/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(*.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))) |
(+.f64 (*.f64 x #s(literal 7/192 binary64)) #s(literal 3/16 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(-.f64 (/.f64 #s(literal 9/256 binary64) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(fma.f64 #s(literal 7/192 binary64) x #s(literal 3/16 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))) (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (neg.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(/.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)))) (neg.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (fma.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
| 1× | egg-herbie |
| 12 032× | lower-fma.f64 |
| 12 032× | lower-fma.f32 |
| 4 850× | lower-*.f64 |
| 4 850× | lower-*.f32 |
| 2 426× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1492 |
| 1 | 539 | 1471 |
| 2 | 1570 | 1359 |
| 3 | 4996 | 1319 |
| 4 | 7560 | 1319 |
| 0 | 8006 | 1223 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3))))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 3)) |
(/ (- (* -1 x) 2) (pow x 3)) |
(/ (- (* x (- (* -1/2 x) 1)) 2) (pow x 3)) |
(/ (- (* x (- (* -1/2 x) 1)) 2) (pow x 3)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1/2) x) |
(/ (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1/2) x) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
(* x (sqrt 1/2)) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(sqrt x) |
(+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/12 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/4 (sqrt (/ 1 x))) (* x (+ (* -1/32 (sqrt (/ 1 x))) (* 1/12 (sqrt (/ 1 x)))))))) |
(* (sqrt (pow x 3)) (sqrt 1/6)) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))) |
(* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (sqrt -1) (sqrt -1/6)))) (* 1/32 (* (sqrt x) (/ (sqrt -1) (pow (sqrt -1/6) 3))))) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(/ x (sqrt 2)) |
(* 1/2 (/ x (sqrt 2))) |
(* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) |
(* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) |
(* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
1/2 |
(+ 1/2 (* 3/16 x)) |
(+ 1/2 (* 3/16 x)) |
(+ 1/2 (* 3/16 x)) |
(* 3/16 x) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* 3/16 x) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(* 3/16 (/ x (sqrt 2))) |
(* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(* 7/192 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* 7/192 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
3/16 |
(+ 3/16 (* 7/192 x)) |
(+ 3/16 (* 7/192 x)) |
(+ 3/16 (* 7/192 x)) |
(* 7/192 x) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* 7/192 x) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (*.f64 x x) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x x))) x))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 2) (pow x 3)) |
(/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -1/2 x) 1)) 2) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -1/2 x) 1)) 2) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x (*.f64 x x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1/2) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1/2) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x x))) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x x))) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(* x (sqrt 1/2)) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) |
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/12 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) |
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/4 (sqrt (/ 1 x))) (* x (+ (* -1/32 (sqrt (/ 1 x))) (* 1/12 (sqrt (/ 1 x)))))))) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 x #s(literal 5/96 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(* (sqrt (pow x 3)) (sqrt 1/6)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (sqrt.f64 #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/6) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/6)))) (* (sqrt (/ 1 x)) (sqrt 1/6)))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/6 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 5/16 binary64))))) |
(* (sqrt (pow x 3)) (* (sqrt -1) (sqrt -1/6))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) |
(* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(*.f64 x (*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64))))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (sqrt -1) (sqrt -1/6)))) (* 1/32 (* (sqrt x) (/ (sqrt -1) (pow (sqrt -1/6) 3))))) (pow x 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/6)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/6)))))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))) #s(literal -11/16 binary64)) (neg.f64 x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (*.f64 x x) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (*.f64 x x) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(/ x (sqrt 2)) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (/ x (sqrt 2))) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 3/16 x)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 3/16 x)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 3/16 x)) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* 3/16 x) |
(*.f64 x #s(literal 3/16 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* 3/16 x) |
(*.f64 x #s(literal 3/16 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* x (+ 3/16 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) |
(* 3/16 (/ x (sqrt 2))) |
(*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* x (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* 7/192 (/ (pow x 2) (sqrt 2))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* 7/192 (/ (pow x 2) (sqrt 2))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* (pow x 2) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(* 3/16 (/ (pow x 2) (sqrt 2))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 3/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 2) (+ (* 7/192 (/ x (sqrt 2))) (* 3/16 (/ 1 (sqrt 2))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(*.f64 x (*.f64 x (*.f64 x (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* 7/192 (/ (pow x 3) (sqrt 2))) |
(*.f64 x (*.f64 x (*.f64 x (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(* (pow x 3) (+ (* 7/192 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
3/16 |
#s(literal 3/16 binary64) |
(+ 3/16 (* 7/192 x)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(+ 3/16 (* 7/192 x)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(+ 3/16 (* 7/192 x)) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* 7/192 x) |
(*.f64 x #s(literal 7/192 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* 7/192 x) |
(*.f64 x #s(literal 7/192 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(* x (+ 7/192 (* 3/16 (/ 1 x)))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1326 | 13622 |
| 1 | 1327 | 13622 |
| 0 | 1327 | 13622 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x)))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)))) |
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(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))) |
(+.f64 (*.f64 x #s(literal 7/192 binary64)) #s(literal 3/16 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(-.f64 (/.f64 #s(literal 9/256 binary64) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) |
(fma.f64 #s(literal 7/192 binary64) x #s(literal 3/16 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))) (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64))) (neg.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(/.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)))) (neg.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (fma.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
| Outputs |
|---|
(+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)) (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x)))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64))) (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
(/.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64))) (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)))) (neg.f64 (-.f64 #s(literal 3/16 binary64) (*.f64 x #s(literal 7/192 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (fma.f64 (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/36864 binary64)) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 343/7077888 binary64) #s(literal 27/4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal 9/256 binary64)) (*.f64 x #s(literal 7/1024 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/36864 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 7/192 binary64) #s(literal -3/16 binary64)))) |
Compiled 5 865 to 170 computations (97.1% saved)
20 alts after pruning (6 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 4 | 430 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 9 | 9 |
| Total | 428 | 20 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.6% | (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
| 1.0% | (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/128 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (sqrt.f64 x)) | |
| ✓ | 4.1% | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
| 3.1% | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) | |
| 4.3% | (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64))) | |
| ✓ | 3.1% | (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
| 2.5% | (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64)))) | |
| 4.3% | (*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))) | |
| ✓ | 2.9% | (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | 2.5% | (sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
| ✓ | 64.3% | (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | 65.9% | (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| ✓ | 4.3% | (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
| ✓ | 63.8% | (sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 3.3% | (sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
| ✓ | 18.6% | (sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
| 2.2% | (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ✓ | 2.5% | (sqrt.f64 x) |
| ✓ | 70.2% | (sqrt.f64 #s(literal 2 binary64)) |
Compiled 460 to 240 computations (47.8% saved)
| Inputs |
|---|
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x))) |
(sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
(sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/192 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/128 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(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 #s(literal 1 binary64) (exp.f64 x))) |
3 calls:
| 7.0ms | x |
| 6.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 6.0ms | (/.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 |
|---|---|---|
| 100.0% | 1 | x |
| 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 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 27 to 20 computations (25.9% saved)
Total -44.6b remaining (-234%)
Threshold costs -44.6b (-234%)
| Inputs |
|---|
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x))) |
(sqrt.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) |
(sqrt.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
(sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 3/16 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 7/192 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7/192 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 7/192 binary64) #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/128 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (sqrt.f64 x)) |
| Outputs |
|---|
(sqrt.f64 #s(literal 2 binary64)) |
3 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 5.0ms | (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 |
|---|---|---|
| 70.2% | 1 | x |
| 70.2% | 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)))) |
| 70.2% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 27 to 20 computations (25.9% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 11 | 7 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(sqrt.f64 #s(literal 2 binary64)) |
| 15 504× | lower-fma.f64 |
| 15 504× | lower-fma.f32 |
| 4 704× | lower-*.f64 |
| 4 704× | lower-*.f32 |
| 2 492× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 444 |
| 1 | 252 | 410 |
| 2 | 663 | 410 |
| 3 | 1425 | 404 |
| 4 | 2548 | 324 |
| 5 | 5907 | 289 |
| 0 | 8297 | 234 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 17 to 15 computations (11.8% saved)
Compiled 42 to 34 computations (19% saved)
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