
Time bar (total: 9.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 0.1% | 0% | 6.2% | 0% | 6 |
| 75.9% | 68.7% | 21.9% | 0.1% | 0% | 9.4% | 0% | 7 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 14% | 0% | 8 |
| 86% | 71.8% | 11.7% | 0.1% | 0% | 16.4% | 0% | 9 |
| 88.9% | 71.8% | 9% | 0.1% | 0% | 19.1% | 0% | 10 |
| 92.4% | 73.4% | 6% | 0.1% | 0% | 20.5% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 0.1% | 0% | 22% | 0% | 12 |
Compiled 12 to 7 computations (41.7% saved)
| 433.0ms | 8 256× | 0 | valid |
| 12.0ms | 291× | 0 | invalid |
ival-mult: 105.0ms (49.8% of total)ival-expm1: 53.0ms (25.1% of total)ival->: 42.0ms (19.9% of total)exact: 7.0ms (3.3% of total)ival-assert: 4.0ms (1.9% of total)| 1× | egg-herbie |
| 42× | sub-neg |
| 40× | exp-sum |
| 24× | exp-prod |
| 24× | +-commutative |
| 18× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 42 | 36 |
| 2 | 73 | 34 |
| 3 | 108 | 34 |
| 4 | 141 | 34 |
| 5 | 165 | 34 |
| 6 | 204 | 34 |
| 7 | 226 | 34 |
| 8 | 240 | 34 |
| 9 | 251 | 34 |
| 10 | 252 | 34 |
| 0 | 6 | 6 |
| 0 | 9 | 6 |
| 1 | 17 | 6 |
| 2 | 20 | 6 |
| 0 | 20 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 a x)) |
(sort a x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 133 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1 | 0 | - | 0 | - | (exp.f64 (*.f64 a x)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) | cancellation | 133 | 0 |
exp.f64 | (exp.f64 (*.f64 a x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 133 | 0 |
| - | 1 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 133 | 0 | 0 |
| - | 1 | 0 | 122 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 52 to 28 computations (46.2% saved)
ival-exp: 4.0ms (33.7% of total)ival-mult: 4.0ms (33.7% of total)ival-expm1: 3.0ms (25.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.6% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 a x)) |
| ✓ | cost-diff | 192 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 6× | lower-exp.f32 |
| 4× | exp-prod |
| 4× | lower-pow.f64 |
| 4× | lower-+.f64 |
| 4× | lower-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 20 | 16 |
| 0 | 20 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 a x)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 a x)) |
| ✓ | accuracy | 54.6% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 24.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-exp: 2.0ms (34.6% of total)ival-mult: 2.0ms (34.6% of total)ival-expm1: 2.0ms (34.6% 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 (*.f64 a x)) #s(literal 1 binary64))> |
#<alt (exp.f64 (*.f64 a x))> |
#<alt (*.f64 a x)> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (* a x) |
| 0.0ms | a | @ | 0 | (- (exp (* a x)) 1) |
| 0.0ms | x | @ | 0 | (- (exp (* a x)) 1) |
| 0.0ms | a | @ | 0 | (* a x) |
| 0.0ms | x | @ | inf | (* a x) |
| 1× | batch-egg-rewrite |
| 806× | lower-fma.f64 |
| 806× | lower-fma.f32 |
| 650× | lower-*.f32 |
| 648× | lower-*.f64 |
| 594× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 a x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(expm1.f64 (*.f64 a x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a (+.f64 x x))) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))) |
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) |
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) (+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) |
(/.f64 (*.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a x))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 a x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(exp.f64 (*.f64 a x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(pow.f64 (exp.f64 a) x) |
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) |
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 (exp.f64 (*.f64 a x))) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(*.f64 a x) |
(*.f64 a (log.f64 (exp.f64 x))) |
(*.f64 x a) |
| 1× | egg-herbie |
| 8 560× | lower-fma.f64 |
| 8 560× | lower-fma.f32 |
| 3 454× | associate-*r* |
| 2 992× | lower-*.f64 |
| 2 992× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 432 |
| 1 | 195 | 432 |
| 2 | 526 | 424 |
| 3 | 1050 | 424 |
| 4 | 1650 | 424 |
| 5 | 1848 | 424 |
| 6 | 1875 | 424 |
| 7 | 1895 | 424 |
| 8 | 1909 | 424 |
| 9 | 1912 | 424 |
| 10 | 1912 | 424 |
| 11 | 2607 | 420 |
| 12 | 3082 | 420 |
| 13 | 4049 | 420 |
| 14 | 4050 | 420 |
| 15 | 4050 | 420 |
| 16 | 4178 | 420 |
| 17 | 4178 | 420 |
| 18 | 6095 | 416 |
| 19 | 6319 | 416 |
| 20 | 6361 | 416 |
| 21 | 6375 | 416 |
| 22 | 6375 | 416 |
| 23 | 6551 | 416 |
| 24 | 6889 | 416 |
| 25 | 6889 | 416 |
| 26 | 7463 | 416 |
| 0 | 7463 | 360 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
Compiled 3 186 to 324 computations (89.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 7 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 7 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) | |
| ▶ | 24.3% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 21.6% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 63.3% | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| ▶ | 62.4% | (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
| ▶ | 68.5% | (*.f64 a x) |
| ▶ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 136 to 86 computations (36.8% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (fma.f64 a x #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (expm1.f64 (*.f64 a x)) |
| 13 500× | lower-fma.f32 |
| 13 496× | lower-fma.f64 |
| 3 114× | lower-*.f32 |
| 3 106× | lower-*.f64 |
| 3 002× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 58 |
| 0 | 25 | 55 |
| 1 | 48 | 55 |
| 2 | 81 | 55 |
| 3 | 225 | 55 |
| 4 | 809 | 55 |
| 5 | 2861 | 55 |
| 6 | 4963 | 55 |
| 7 | 7789 | 55 |
| 0 | 8048 | 55 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 a x) |
a |
x |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
a |
x |
#s(literal 1 binary64) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
a |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
(*.f64 a x) |
a |
x |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a x) |
(fma.f64 a x #s(literal 1 binary64)) |
a |
x |
#s(literal 1 binary64) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
a |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 97.0% | (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
| ✓ | accuracy | 91.8% | (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 a x #s(literal 1 binary64)) |
| ✓ | accuracy | 54.6% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (expm1.f64 (*.f64 a x)) |
| 22.0ms | 85× | 2 | valid |
| 14.0ms | 83× | 1 | valid |
| 8.0ms | 88× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-mult: 9.0ms (34% of total)adjust: 5.0ms (18.9% of total)ival-sub: 5.0ms (18.9% of total)ival-add: 3.0ms (11.3% of total)ival-expm1: 3.0ms (11.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (expm1.f64 (*.f64 a x))> |
#<alt (*.f64 a x)> |
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))> |
#<alt (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 a x #s(literal 1 binary64))> |
#<alt (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))> |
#<alt (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)> |
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt x> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (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 (pow x 2)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 0.0ms | x | @ | inf | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 0.0ms | a | @ | inf | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 0.0ms | a | @ | -inf | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 0.0ms | x | @ | 0 | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 1× | batch-egg-rewrite |
| 9 428× | lower-fma.f32 |
| 9 424× | lower-fma.f64 |
| 5 232× | lower-*.f32 |
| 5 224× | lower-*.f64 |
| 3 696× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 0 | 25 | 41 |
| 1 | 94 | 41 |
| 2 | 663 | 41 |
| 0 | 8909 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(*.f64 a x) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
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(log.f64 (exp.f64 (*.f64 a x))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x)))) (fma.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (*.f64 (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))) (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 x x)) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))))) (neg.f64 (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))))) |
(*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 17 360× | lower-fma.f64 |
| 17 360× | lower-fma.f32 |
| 5 612× | lower-*.f64 |
| 5 612× | lower-*.f32 |
| 2 190× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 992 |
| 1 | 308 | 992 |
| 2 | 783 | 988 |
| 3 | 2436 | 988 |
| 4 | 6574 | 988 |
| 0 | 8168 | 890 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* 1/2 (* a (pow x 2)))) |
(* 1/2 (* a (pow x 2))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* a (pow x 2))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* 1/2 (* a x)))) |
(* 1/2 (* a (pow x 2))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* 1/2 (* a (pow x 2))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (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) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* 1/2 (* a (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* 1/2 (* a (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* 1/2 (* a (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* 1/2 (* a (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.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) |
(pow x 2) |
(*.f64 x x) |
Compiled 19 196 to 1 263 computations (93.4% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 858 | 20 | 878 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 861 | 24 | 885 |
| Status | Accuracy | Program |
|---|---|---|
| 23.0% | (fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64)) | |
| 22.7% | (fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 23.1% | (fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 66.2% | (fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
| 36.6% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) | |
| 19.7% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) | |
| 67.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| 23.5% | (-.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 5.6% | (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 23.5% | (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | 24.3% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 24.2% | (-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 24.4% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 68.5% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) | |
| ▶ | 68.1% | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
| 10.6% | (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))) | |
| 17.9% | (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ▶ | 69.5% | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
| 68.3% | (*.f64 a (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))) x)) | |
| 63.3% | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| 68.5% | (*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 68.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| ▶ | 21.6% | #s(literal 0 binary64) |
Compiled 847 to 452 computations (46.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 3392 | (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (fma.f64 a x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
| ✓ | cost-diff | 2112 | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
| 16 338× | lower-fma.f32 |
| 16 322× | lower-fma.f64 |
| 3 294× | lower-*.f32 |
| 3 270× | lower-*.f64 |
| 3 180× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 279 |
| 0 | 63 | 265 |
| 1 | 137 | 262 |
| 2 | 377 | 262 |
| 3 | 1163 | 259 |
| 4 | 5526 | 259 |
| 5 | 7168 | 215 |
| 0 | 8241 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
x |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 a x)) |
a |
(*.f64 a x) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
a |
(*.f64 a #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 a x) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
a |
x |
#s(literal 2 binary64) |
(*.f64 a x) |
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))) |
(fma.f64 a x #s(literal 1 binary64)) |
a |
x |
(fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 a x) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(fma.f64 a (*.f64 x x) x) |
(*.f64 x x) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 a a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
x |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 x (*.f64 a a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 x (*.f64 a a)) |
a |
(*.f64 a x) |
(*.f64 x a) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(*.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a)) |
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) |
(*.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64))) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
a |
(*.f64 a #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 a x) |
(*.f64 x a) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
(*.f64 x a) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
(*.f64 a (*.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(fma.f64 x a #s(literal 2 binary64)) |
a |
x |
#s(literal 2 binary64) |
(*.f64 a x) |
(*.f64 x a) |
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 x a #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) |
(+.f64 (fma.f64 x a #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 a x #s(literal 1 binary64)) |
(fma.f64 x a #s(literal 1 binary64)) |
a |
x |
(fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 x (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 2 binary64)) |
(fma.f64 x a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 a x) |
(*.f64 x a) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x))) |
(fma.f64 (*.f64 x a) (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(*.f64 a (fma.f64 x (*.f64 x a) x)) |
(fma.f64 a (*.f64 x x) x) |
(fma.f64 x (*.f64 x a) x) |
(*.f64 x x) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.0% | (*.f64 a (fma.f64 a (*.f64 x x) x)) |
| ✓ | accuracy | 91.8% | (fma.f64 a (*.f64 x x) x) |
| ✓ | accuracy | 75.9% | (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) |
| ✓ | accuracy | 54.6% | (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) |
| ✓ | accuracy | 80.4% | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 1/2 binary64)) |
| ✓ | accuracy | 92.3% | (fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
| ✓ | accuracy | 89.3% | (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) |
| ✓ | accuracy | 99.9% | (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a x)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 98.9% | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
| 55.0ms | 80× | 2 | valid |
| 39.0ms | 83× | 1 | valid |
| 25.0ms | 88× | 0 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 316 to 40 computations (87.3% saved)
ival-mult: 37.0ms (42.3% of total)ival-add: 19.0ms (21.7% of total)adjust: 16.0ms (18.3% of total)ival-div: 7.0ms (8% of total)const: 4.0ms (4.6% of total)ival-sub: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))> |
#<alt (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)> |
#<alt (*.f64 a (*.f64 a x))> |
#<alt (*.f64 a x)> |
#<alt (fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))> |
#<alt (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)> |
#<alt (*.f64 a (*.f64 a #s(literal 1/2 binary64)))> |
#<alt (*.f64 a #s(literal 1/2 binary64))> |
#<alt (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))> |
#<alt (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))> |
#<alt (fma.f64 a x #s(literal 2 binary64))> |
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))> |
#<alt (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))> |
#<alt (fma.f64 a (*.f64 x x) x)> |
#<alt (*.f64 a (fma.f64 a (*.f64 x x) x))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt a> |
#<alt (* a (+ 1 (* 1/2 (* a x))))> |
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))> |
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))> |
#<alt a> |
#<alt (+ a (* 1/2 (* (pow a 2) x)))> |
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))> |
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 2 (* a x))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* 2 (* a x))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt 2> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt 2> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* a (- (* 2 x) x)))> |
#<alt (+ 1 (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x)))> |
#<alt (+ 1 (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x)))> |
#<alt (* a x)> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt 1> |
#<alt (+ 1 (* x (- (* 2 a) a)))> |
#<alt (+ 1 (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a)))> |
#<alt (+ 1 (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)))> |
#<alt (* a x)> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* a (- (* 2 x) x))> |
#<alt (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x))> |
#<alt (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))> |
#<alt (* a (- (+ (* 2 x) (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* x (- (pow x 3) (* 2 (pow x 3)))))))) (pow x 3)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* x (- (* 2 a) a))> |
#<alt (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a))> |
#<alt (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))> |
#<alt (* x (- (+ (* 2 a) (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (* a (- (pow a 3) (* 2 (pow a 3)))))))) (pow a 3)) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt 2> |
#<alt (+ 2 (* a (+ x (* 2 x))))> |
#<alt (+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2)))))))> |
#<alt (+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2))))))))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3))))> |
#<alt (* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))> |
#<alt (* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (* 2 (/ 1 (pow a 3))) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3)))))))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 2 (/ 1 a))) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))> |
#<alt 2> |
#<alt (+ 2 (* x (+ a (* 2 a))))> |
#<alt (+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2)))))))> |
#<alt (+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2))))))))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3))))> |
#<alt (* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))> |
#<alt (* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3)))))))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 2 (/ 1 x))) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* a (pow x 2)))))> |
#<alt (+ 1 (* a (+ x (* a (pow x 2)))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2))))> |
#<alt (* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2)))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* (pow a 2) x))))> |
#<alt (+ 1 (* x (+ a (* (pow a 2) x))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2)))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (* 1/6 (* a x))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* 1/6 (* a x))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (* 1/6 (* a x))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (* a x))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 (* a x)))> |
#<alt (+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))> |
#<alt (+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))> |
#<alt (/ 1 (* a x))> |
#<alt (/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)> |
#<alt (/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)> |
#<alt (/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)> |
#<alt (/ 1 (* a x))> |
#<alt (* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 (* a x)))> |
#<alt (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))> |
#<alt (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))> |
#<alt (/ 1 (* a x))> |
#<alt (/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)> |
#<alt (/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)> |
#<alt (/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)> |
#<alt (/ 1 (* a x))> |
#<alt (* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))> |
#<alt x> |
#<alt (+ x (* a (pow x 2)))> |
#<alt (+ x (* a (pow x 2)))> |
#<alt (+ x (* a (pow x 2)))> |
#<alt (* a (pow x 2))> |
#<alt (* a (+ (/ x a) (pow x 2)))> |
#<alt (* a (+ (/ x a) (pow x 2)))> |
#<alt (* a (+ (/ x a) (pow x 2)))> |
#<alt (* a (pow x 2))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* a x)))> |
#<alt (* x (+ 1 (* a x)))> |
#<alt (* x (+ 1 (* a x)))> |
#<alt (* a (pow x 2))> |
#<alt (* (pow x 2) (+ a (/ 1 x)))> |
#<alt (* (pow x 2) (+ a (/ 1 x)))> |
#<alt (* (pow x 2) (+ a (/ 1 x)))> |
#<alt (* a (pow x 2))> |
#<alt (* (pow x 2) (+ a (/ 1 x)))> |
#<alt (* (pow x 2) (+ a (/ 1 x)))> |
#<alt (* (pow x 2) (+ a (/ 1 x)))> |
#<alt (* a x)> |
#<alt (* a (+ x (* a (pow x 2))))> |
#<alt (* a (+ x (* a (pow x 2))))> |
#<alt (* a (+ x (* a (pow x 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))> |
#<alt (* a x)> |
#<alt (* x (+ a (* (pow a 2) x)))> |
#<alt (* x (+ a (* (pow a 2) x)))> |
#<alt (* x (+ a (* (pow a 2) x)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | 0 | (/ 1 (+ (* a x) 2)) |
| 5.0ms | a | @ | 0 | (* a (* a 1/2)) |
| 2.0ms | a | @ | -inf | (* (+ (* a x) 2) (* a x)) |
| 2.0ms | x | @ | inf | (+ (* (+ 1 (* (+ (* a x) 1) (+ (* (+ (* a x) 2) (* a x)) 1))) (/ 1 (+ 1 (* a (+ (* a (* x x)) x))))) -1) |
| 2.0ms | a | @ | -inf | (+ (* (+ 1 (* (+ (* a x) 1) (+ (* (+ (* a x) 2) (* a x)) 1))) (/ 1 (+ 1 (* a (+ (* a (* x x)) x))))) -1) |
| 1× | batch-egg-rewrite |
| 6 492× | lower-fma.f32 |
| 6 476× | lower-fma.f64 |
| 4 858× | lower-*.f32 |
| 4 834× | lower-*.f64 |
| 4 188× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 207 |
| 0 | 62 | 190 |
| 1 | 274 | 190 |
| 2 | 2294 | 190 |
| 0 | 9063 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 a x) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(*.f64 a #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x))) |
(*.f64 x #s(literal 1/6 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) |
(fma.f64 a (*.f64 x x) x) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
| Outputs |
|---|
(+.f64 (*.f64 x a) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x a)) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) (-.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x a))) (/.f64 (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x a)))) |
(fma.f64 x a (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) |
(fma.f64 x (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x a)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) |
(fma.f64 a x (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x))) (neg.f64 (-.f64 (*.f64 x (*.f64 x a)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))) (-.f64 x (*.f64 x (*.f64 x a)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))) (-.f64 (*.f64 x (*.f64 x a)) x)) (*.f64 (-.f64 (*.f64 x (*.f64 x a)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x (*.f64 x a)) x) (-.f64 (*.f64 x (*.f64 x a)) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x a)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x a))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x a)) x) (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x a #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x a)) x))) |
(+.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a))) (/.f64 (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a)))) |
(fma.f64 x a (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 x (*.f64 x (*.f64 a a)) (*.f64 x a)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 a x (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 a (*.f64 x (*.f64 x a)) (*.f64 x a)) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 x a) (*.f64 x a) (*.f64 x a)) |
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 x a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 x (*.f64 a a)) x (*.f64 x a)) |
(fma.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 (*.f64 x a) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 x x) (*.f64 a a) (*.f64 x a)) |
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 x (*.f64 x a)) a (*.f64 x a)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 1 binary64) (*.f64 x a)) |
(fma.f64 (*.f64 a a) (*.f64 x x) (*.f64 x a)) |
(fma.f64 (*.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (fma.f64 x a #s(literal -2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 x (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 a (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 a (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x a) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x a) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) (fma.f64 x a #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x (*.f64 x (*.f64 a a)))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a))) |
(/.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))))) |
(/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x))) (-.f64 (*.f64 x (*.f64 x a)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) a) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)) a) (-.f64 (*.f64 x (*.f64 x a)) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x (*.f64 x (*.f64 a a))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a)))) |
(/.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)))) (neg.f64 (-.f64 (*.f64 x (*.f64 x a)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) a)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)) a)) (neg.f64 (-.f64 (*.f64 x (*.f64 x a)) x))) |
(/.f64 (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 x (*.f64 x (*.f64 a a)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))))))) |
(*.f64 a (fma.f64 x (*.f64 x a) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 x (*.f64 x a) x))) |
(*.f64 (fma.f64 x (*.f64 x a) x) a) |
(*.f64 (*.f64 a (fma.f64 x (*.f64 x a) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) a) (fma.f64 x (*.f64 x a) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x a) x)) a) |
| 1× | egg-herbie |
| 11 818× | lower-fma.f64 |
| 11 818× | lower-fma.f32 |
| 6 482× | lower-*.f64 |
| 6 482× | lower-*.f32 |
| 3 082× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 538 | 4220 |
| 1 | 1890 | 3895 |
| 2 | 6429 | 3821 |
| 0 | 8082 | 3581 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 2 (* a x)) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* 2 (* a x)) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(* a x) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a x) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(* a x) |
(* x (+ a (* 2 (/ 1 x)))) |
(* x (+ a (* 2 (/ 1 x)))) |
(* x (+ a (* 2 (/ 1 x)))) |
(* a x) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* a (- (* 2 x) x))) |
(+ 1 (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x))) |
(+ 1 (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
1 |
(+ 1 (* x (- (* 2 a) a))) |
(+ 1 (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a))) |
(+ 1 (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* a (- (* 2 x) x)) |
(* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x)) |
(* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x)) |
(* a (- (+ (* 2 x) (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* x (- (pow x 3) (* 2 (pow x 3)))))))) (pow x 3)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (- (* 2 a) a)) |
(* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a)) |
(* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)) |
(* x (- (+ (* 2 a) (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (* a (- (pow a 3) (* 2 (pow a 3)))))))) (pow a 3)) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
2 |
(+ 2 (* a (+ x (* 2 x)))) |
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2))))))) |
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2)))))))) |
(* (pow a 3) (pow x 3)) |
(* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3)))) |
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3)))))) |
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (* 2 (/ 1 (pow a 3))) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))) |
(* (pow a 3) (pow x 3)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 2 (/ 1 a))) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3))))) |
2 |
(+ 2 (* x (+ a (* 2 a)))) |
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2))))))) |
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2)))))))) |
(* (pow a 3) (pow x 3)) |
(* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3)))) |
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3)))))) |
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))) |
(* (pow a 3) (pow x 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 2 (/ 1 x))) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* a (pow x 2))))) |
(+ 1 (* a (+ x (* a (pow x 2))))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2)))) |
(* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* (pow a 2) x)))) |
(+ 1 (* x (+ a (* (pow a 2) x)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2)))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/6 (* a x)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/6 (* a x)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/6 (* a x)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* 1/6 (* a x)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
1/2 |
(+ 1/2 (* -1/4 (* a x))) |
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x)))) |
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x)))) |
(/ 1 (* a x)) |
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a) |
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a) |
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a) |
(/ 1 (* a x)) |
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a)) |
1/2 |
(+ 1/2 (* -1/4 (* a x))) |
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a)))) |
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a)))) |
(/ 1 (* a x)) |
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x) |
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x) |
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x) |
(/ 1 (* a x)) |
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x)) |
x |
(+ x (* a (pow x 2))) |
(+ x (* a (pow x 2))) |
(+ x (* a (pow x 2))) |
(* a (pow x 2)) |
(* a (+ (/ x a) (pow x 2))) |
(* a (+ (/ x a) (pow x 2))) |
(* a (+ (/ x a) (pow x 2))) |
(* a (pow x 2)) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2))))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2))))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2))))) |
x |
(* x (+ 1 (* a x))) |
(* x (+ 1 (* a x))) |
(* x (+ 1 (* a x))) |
(* a (pow x 2)) |
(* (pow x 2) (+ a (/ 1 x))) |
(* (pow x 2) (+ a (/ 1 x))) |
(* (pow x 2) (+ a (/ 1 x))) |
(* a (pow x 2)) |
(* (pow x 2) (+ a (/ 1 x))) |
(* (pow x 2) (+ a (/ 1 x))) |
(* (pow x 2) (+ a (/ 1 x))) |
(* a x) |
(* a (+ x (* a (pow x 2)))) |
(* a (+ x (* a (pow x 2)))) |
(* a (+ x (* a (pow x 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(* a x) |
(* x (+ a (* (pow a 2) x))) |
(* x (+ a (* (pow a 2) x))) |
(* x (+ a (* (pow a 2) x))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal -1/2 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) a) (/.f64 x (*.f64 a a)))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) a) (/.f64 x (*.f64 a a)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) a)) (*.f64 a (*.f64 a (neg.f64 a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) (*.f64 a (*.f64 a (neg.f64 a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) (*.f64 a (*.f64 a (neg.f64 a)))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) a) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) a) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) a))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x a) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) a)) (*.f64 a (*.f64 a (neg.f64 a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) a)) (*.f64 a (*.f64 a (neg.f64 a)))) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(fma.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) a) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) a) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 a x)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 a x)) x))) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 a (fma.f64 a (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 a (fma.f64 a (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 a (fma.f64 a (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (*.f64 a #s(literal 2 binary64)) x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(*.f64 a (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) a) x))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(*.f64 a (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) a) x))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(*.f64 a (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) a) x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -2 binary64) x) a))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -2 binary64) x) a))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -2 binary64) x) a))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a (- (* 2 x) x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a x))) |
(+ 1 (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))) |
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 x #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))) #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 #s(literal -1 binary64) a) x))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 #s(literal -1 binary64) a) x))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 #s(literal -1 binary64) a) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- (* 2 a) a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a x))) |
(+ 1 (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64))) #s(literal 0 binary64)) a) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) |
(* a (- (* 2 x) x)) |
(*.f64 a x) |
(* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x)) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 x #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) |
(* a (- (+ (* 2 x) (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* x (- (pow x 3) (* 2 (pow x 3)))))))) (pow x 3)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x)) |
(*.f64 a (fma.f64 a (+.f64 (fma.f64 a (fma.f64 x #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* x (- (* 2 a) a)) |
(*.f64 a x) |
(* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a)) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 a #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64))) #s(literal 0 binary64)) a)) |
(* x (- (+ (* 2 a) (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (* a (- (pow a 3) (* 2 (pow a 3)))))))) (pow a 3)) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)) |
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (fma.f64 a #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) a)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a (+ x (* 2 x)))) |
(fma.f64 a (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3)))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) a) (*.f64 x (*.f64 x x))))) |
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 x (/.f64 #s(literal 2 binary64) (*.f64 a a)) (+.f64 (/.f64 x (*.f64 a a)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) a) (*.f64 x (*.f64 x x)))))) |
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (* 2 (/ 1 (pow a 3))) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 x (/.f64 #s(literal 2 binary64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 x (*.f64 a a)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) a) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a a)))))) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3))))) |
(*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) a) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (fma.f64 x (*.f64 x x) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 x a))) a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 2 (/ 1 a))) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (fma.f64 x (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (fma.f64 x #s(literal -3 binary64) (/.f64 #s(literal -2 binary64) a)) a)) a)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (+ a (* 2 a)))) |
(fma.f64 a (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2))))))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 a a) #s(literal 3 binary64)) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) |
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2)))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 a a) x) (*.f64 a (*.f64 a a)))) |
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 a (*.f64 x x)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 a a) x) (*.f64 a (*.f64 a a)))))) |
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 a (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 a (*.f64 x x)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 a a) x) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3))))) |
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal -3 binary64) (*.f64 a (*.f64 a (neg.f64 a)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3))))) |
(neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 a (*.f64 a a) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 3 binary64))) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 2 (/ 1 x))) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3))))) |
(neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 a (*.f64 a a) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 3 binary64)) (/.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (pow x 2))))) |
(fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (pow x 2))))) |
(fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2)))) |
(fma.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))) #s(literal 1 binary64)) |
(* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2)))) |
(fma.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))) #s(literal 1 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) a))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* (pow a 2) x)))) |
(fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* (pow a 2) x)))) |
(fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2)))) |
(fma.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2)))) |
(fma.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))) #s(literal 1 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) a) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) a) x))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(*.f64 a (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(*.f64 a (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(*.f64 a (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 x) (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 x) (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 x) (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (* a x))) |
(fma.f64 x (*.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x)))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 x x))))) |
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 x x))))) a) |
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x x)))))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x (*.f64 x x)))))))) a) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a)) |
(neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 x x))))) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))) a)) (neg.f64 a)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (* a x))) |
(fma.f64 x (*.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a)))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (*.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a)))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))) (*.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 x x))))) |
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a x))))) x) |
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x) |
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a x)))) x) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x)) |
(neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a x))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 a (*.f64 a a)))))) x)) (neg.f64 x)) |
x |
(+ x (* a (pow x 2))) |
(fma.f64 a (*.f64 x x) x) |
(+ x (* a (pow x 2))) |
(fma.f64 a (*.f64 x x) x) |
(+ x (* a (pow x 2))) |
(fma.f64 a (*.f64 x x) x) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (+ (/ x a) (pow x 2))) |
(*.f64 a (fma.f64 x x (/.f64 x a))) |
(* a (+ (/ x a) (pow x 2))) |
(*.f64 a (fma.f64 x x (/.f64 x a))) |
(* a (+ (/ x a) (pow x 2))) |
(*.f64 a (fma.f64 x x (/.f64 x a))) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 x x (/.f64 x a)))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 x x (/.f64 x a)))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 x x (/.f64 x a)))) |
x |
(* x (+ 1 (* a x))) |
(fma.f64 a (*.f64 x x) x) |
(* x (+ 1 (* a x))) |
(fma.f64 a (*.f64 x x) x) |
(* x (+ 1 (* a x))) |
(fma.f64 a (*.f64 x x) x) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* (pow x 2) (+ a (/ 1 x))) |
(fma.f64 a (*.f64 x x) x) |
(* (pow x 2) (+ a (/ 1 x))) |
(fma.f64 a (*.f64 x x) x) |
(* (pow x 2) (+ a (/ 1 x))) |
(fma.f64 a (*.f64 x x) x) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* (pow x 2) (+ a (/ 1 x))) |
(fma.f64 a (*.f64 x x) x) |
(* (pow x 2) (+ a (/ 1 x))) |
(fma.f64 a (*.f64 x x) x) |
(* (pow x 2) (+ a (/ 1 x))) |
(fma.f64 a (*.f64 x x) x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* a (pow x 2)))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(* a (+ x (* a (pow x 2)))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(* a (+ x (* a (pow x 2)))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (+ (/ x a) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* (pow a 2) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(* x (+ a (* (pow a 2) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(* x (+ a (* (pow a 2) x))) |
(*.f64 a (fma.f64 a (*.f64 x x) x)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
(* (pow x 2) (+ (/ a x) (pow a 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a)))) |
Compiled 59 520 to 4 213 computations (92.9% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 702 | 11 | 1 713 |
| Fresh | 7 | 9 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 712 | 25 | 1 737 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.5% | (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
| 68.5% | (fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) | |
| 36.6% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) | |
| ▶ | 68.1% | (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
| 19.7% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) | |
| ▶ | 67.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
| ✓ | 24.3% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 26.6% | (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 24.2% | (-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 21.2% | (-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) | |
| ▶ | 24.4% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 68.5% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) | |
| 3.1% | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ▶ | 68.5% | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
| 68.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x) | |
| 68.2% | (*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))))) | |
| 68.2% | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) | |
| 17.9% | (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ✓ | 69.5% | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
| 68.5% | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) | |
| 63.3% | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| 68.5% | (*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 68.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| ✓ | 21.6% | #s(literal 0 binary64) |
Compiled 629 to 365 computations (42% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x a #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) |
| ✓ | cost-diff | 1792 | (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 a x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (fma.f64 a x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a x #s(literal -1 binary64)) |
| ✓ | cost-diff | 256 | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x a) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
| 8 686× | lower-fma.f32 |
| 8 676× | lower-fma.f64 |
| 4 056× | lower-*.f32 |
| 4 040× | lower-*.f64 |
| 3 326× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 145 |
| 0 | 43 | 128 |
| 1 | 104 | 127 |
| 2 | 296 | 127 |
| 3 | 1368 | 127 |
| 4 | 2471 | 127 |
| 5 | 3372 | 127 |
| 6 | 4765 | 127 |
| 0 | 8115 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 x a) |
x |
a |
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal -1 binary64)) |
a |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
a |
x |
#s(literal 2 binary64) |
(*.f64 a x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) |
x |
(*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
a |
(fma.f64 x a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 (*.f64 x a) (fma.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) |
(*.f64 x a) |
x |
a |
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 x a) |
(fma.f64 a x #s(literal -1 binary64)) |
(fma.f64 x a #s(literal -1 binary64)) |
a |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x a #s(literal 2 binary64))))) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(fma.f64 x a #s(literal 2 binary64)) |
a |
x |
#s(literal 2 binary64) |
(*.f64 a x) |
(*.f64 x a) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 x a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 a x) |
(*.f64 x a) |
a |
x |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 x a) |
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) |
x |
(*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
a |
(fma.f64 x a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x a #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
| ✓ | accuracy | 98.9% | (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) |
| ✓ | accuracy | 80.4% | (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 a x)) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
| ✓ | accuracy | 100.0% | (fma.f64 a x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
| ✓ | accuracy | 100.0% | (fma.f64 a x #s(literal -1 binary64)) |
| ✓ | accuracy | 54.7% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 98.9% | (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
| 42.0ms | 83× | 1 | valid |
| 41.0ms | 85× | 2 | valid |
| 16.0ms | 88× | 0 | valid |
Compiled 162 to 28 computations (82.7% saved)
ival-mult: 18.0ms (31.3% of total)ival-div: 16.0ms (27.8% of total)ival-add: 10.0ms (17.4% of total)adjust: 9.0ms (15.6% of total)const: 4.0ms (6.9% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))> |
#<alt (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))> |
#<alt (*.f64 x a)> |
#<alt (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))> |
#<alt (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 a x #s(literal -1 binary64))> |
#<alt (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))> |
#<alt (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))> |
#<alt (fma.f64 a x #s(literal 2 binary64))> |
#<alt (*.f64 a x)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 a x))> |
#<alt (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))> |
#<alt (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))> |
#<alt (*.f64 a (fma.f64 x a #s(literal 2 binary64)))> |
#<alt (fma.f64 x a #s(literal 2 binary64))> |
#<alt (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (* 1/6 (* a x))))> |
#<alt (* a (+ 1/2 (* 1/6 (* a x))))> |
#<alt (* a (+ 1/2 (* 1/6 (* a x))))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* 1/2 a)> |
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))> |
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))> |
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt -1> |
#<alt (- (* a x) 1)> |
#<alt (- (* a x) 1)> |
#<alt (- (* a x) 1)> |
#<alt (* a x)> |
#<alt (* a (- x (/ 1 a)))> |
#<alt (* a (- x (/ 1 a)))> |
#<alt (* a (- x (/ 1 a)))> |
#<alt (* a x)> |
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (+ (* -1 x) (/ 1 a))))> |
#<alt -1> |
#<alt (- (* a x) 1)> |
#<alt (- (* a x) 1)> |
#<alt (- (* a x) 1)> |
#<alt (* a x)> |
#<alt (* x (- a (/ 1 x)))> |
#<alt (* x (- a (/ 1 x)))> |
#<alt (* x (- a (/ 1 x)))> |
#<alt (* a x)> |
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 a) (/ 1 x))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 2 (* a x))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* 2 (* a x))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt 2> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt 2> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (/ 1 (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 2 (* a x))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* 2 (* a x))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* a (+ (* 2 x) (* a (pow x 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))> |
#<alt (* 2 a)> |
#<alt (* a (+ 2 (* a x)))> |
#<alt (* a (+ 2 (* a x)))> |
#<alt (* a (+ 2 (* a x)))> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))> |
#<alt (* 2 a)> |
#<alt (+ (* 2 a) (* (pow a 2) x))> |
#<alt (+ (* 2 a) (* (pow a 2) x))> |
#<alt (+ (* 2 a) (* (pow a 2) x))> |
#<alt (* (pow a 2) x)> |
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))> |
#<alt (* (pow a 2) x)> |
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))> |
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))> |
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))> |
#<alt 2> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* x (+ a (* 2 (/ 1 x))))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))> |
#<alt 2> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (+ 2 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a (+ x (* 2 (/ 1 a))))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (* 1/6 (* a x))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (* a x))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (* 1/6 (* a x))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* 1/6 (* a x))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | -inf | (* a (+ (* x a) 2)) |
| 0.0ms | a | @ | -inf | (* a (+ (* (* x a) 1/6) 1/2)) |
| 0.0ms | a | @ | 0 | (/ 1 (* a x)) |
| 0.0ms | x | @ | 0 | (/ 1 (* a x)) |
| 0.0ms | a | @ | -inf | (+ (* (* (* x a) (* a (+ (* (* x a) 1/6) 1/2))) x) (* x a)) |
| 1× | batch-egg-rewrite |
| 11 000× | lower-fma.f32 |
| 10 990× | lower-fma.f64 |
| 4 670× | lower-*.f32 |
| 4 654× | lower-*.f64 |
| 4 630× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 124 |
| 0 | 43 | 117 |
| 1 | 209 | 116 |
| 2 | 1333 | 116 |
| 0 | 8298 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 x a) |
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(*.f64 a x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) |
(*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
(fma.f64 x a #s(literal 2 binary64)) |
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(+.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 x a)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (-.f64 (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))) (/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (-.f64 (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))))) |
(fma.f64 x a (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) (*.f64 x a)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 a x (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 a (*.f64 x (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 x a)) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x) (*.f64 x a)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) x (*.f64 x a)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x a)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 x a)) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x a))) (*.f64 x a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 x a)) |
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (*.f64 x a) (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 x a)) |
(fma.f64 (*.f64 x a) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (neg.f64 (*.f64 x a)) #s(literal -1 binary64) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))))) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) (fma.f64 x a #s(literal -1 binary64))))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (*.f64 (*.f64 x a) (fma.f64 x a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (*.f64 x (*.f64 a a)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) (*.f64 x a)) |
(fma.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 x a) (*.f64 x a)) |
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64))))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 x a) (fma.f64 x a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x a #s(literal -2 binary64)))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x a) #s(literal 0 binary64))))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -1 binary64)))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) |
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(fma.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x a) #s(literal 0 binary64))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) a #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) a) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 a #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x a) (fma.f64 x a #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 x a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 2 binary64) (*.f64 x a)))) (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x a)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x a) (*.f64 x a))))) |
(/.f64 (fma.f64 x a #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 a (neg.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a)))) |
(/.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 2 binary64) (*.f64 x a))))) |
(/.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal -4 binary64)) (fma.f64 x a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal -4 binary64))) (neg.f64 (fma.f64 x a #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (-.f64 #s(literal 2 binary64) (*.f64 x a))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x a #s(literal -2 binary64))) (*.f64 (fma.f64 x a #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x a #s(literal -2 binary64)) (fma.f64 x a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x a #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x a) (*.f64 x a)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 x a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x a #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x a #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x a #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x a #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x a #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x a #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 (fma.f64 x a #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))))) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x a #s(literal -2 binary64))))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x a)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x a)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
| 1× | egg-herbie |
| 15 166× | lower-fma.f64 |
| 15 166× | lower-fma.f32 |
| 5 404× | lower-*.f64 |
| 5 404× | lower-*.f32 |
| 2 306× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2696 |
| 1 | 644 | 2620 |
| 2 | 1903 | 2560 |
| 3 | 3542 | 2556 |
| 0 | 8286 | 2346 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* 1/2 (* (pow a 2) x)) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/2 a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/2 a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(* 1/6 (* (pow a 2) x)) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
-1 |
(- (* a x) 1) |
(- (* a x) 1) |
(- (* a x) 1) |
(* a x) |
(* a (- x (/ 1 a))) |
(* a (- x (/ 1 a))) |
(* a (- x (/ 1 a))) |
(* a x) |
(* -1 (* a (+ (* -1 x) (/ 1 a)))) |
(* -1 (* a (+ (* -1 x) (/ 1 a)))) |
(* -1 (* a (+ (* -1 x) (/ 1 a)))) |
-1 |
(- (* a x) 1) |
(- (* a x) 1) |
(- (* a x) 1) |
(* a x) |
(* x (- a (/ 1 x))) |
(* x (- a (/ 1 x))) |
(* x (- a (/ 1 x))) |
(* a x) |
(* -1 (* x (+ (* -1 a) (/ 1 x)))) |
(* -1 (* x (+ (* -1 a) (/ 1 x)))) |
(* -1 (* x (+ (* -1 a) (/ 1 x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 2 (* a x)) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* 2 (* a x)) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(* a x) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a x) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(* a x) |
(* x (+ a (* 2 (/ 1 x)))) |
(* x (+ a (* 2 (/ 1 x)))) |
(* x (+ a (* 2 (/ 1 x)))) |
(* a x) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(/ 1 (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 2 (* a x)) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(* 2 (* a x)) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(* 2 a) |
(* a (+ 2 (* a x))) |
(* a (+ 2 (* a x))) |
(* a (+ 2 (* a x))) |
(* (pow a 2) x) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(* (pow a 2) x) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(* 2 a) |
(+ (* 2 a) (* (pow a 2) x)) |
(+ (* 2 a) (* (pow a 2) x)) |
(+ (* 2 a) (* (pow a 2) x)) |
(* (pow a 2) x) |
(* x (+ (* 2 (/ a x)) (pow a 2))) |
(* x (+ (* 2 (/ a x)) (pow a 2))) |
(* x (+ (* 2 (/ a x)) (pow a 2))) |
(* (pow a 2) x) |
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2))))) |
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2))))) |
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2))))) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(* a x) |
(* x (+ a (* 2 (/ 1 x)))) |
(* x (+ a (* 2 (/ 1 x)))) |
(* x (+ a (* 2 (/ 1 x)))) |
(* a x) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(+ 2 (* a x)) |
(* a x) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a (+ x (* 2 (/ 1 a)))) |
(* a x) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/6 (* a x)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* 1/6 (* a x)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/6 (* a x)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/6 (* a x)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 x (fma.f64 a (*.f64 (*.f64 a a) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) x))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 x (fma.f64 a (*.f64 (*.f64 a a) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) x))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) a))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
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(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
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(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))) |
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(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
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(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
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(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
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(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(* a x) |
(*.f64 a x) |
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(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* 1/6 (* (pow a 2) x)) |
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(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
-1 |
#s(literal -1 binary64) |
(- (* a x) 1) |
(fma.f64 a x #s(literal -1 binary64)) |
(- (* a x) 1) |
(fma.f64 a x #s(literal -1 binary64)) |
(- (* a x) 1) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (- x (/ 1 a))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a (- x (/ 1 a))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a (- x (/ 1 a))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (+ (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* -1 (* a (+ (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* -1 (* a (+ (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* a x) 1) |
(fma.f64 a x #s(literal -1 binary64)) |
(- (* a x) 1) |
(fma.f64 a x #s(literal -1 binary64)) |
(- (* a x) 1) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (- a (/ 1 x))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* x (- a (/ 1 x))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* x (- a (/ 1 x))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (+ (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal -1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
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(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
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(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
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(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
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(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
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(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
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(* x (+ a (* 1/2 (* (pow a 2) x)))) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
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(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
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(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
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(* 2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
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(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
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(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
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(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
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(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
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(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(fma.f64 a x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
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(* a x) |
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(* a x) |
(*.f64 a x) |
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(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* 2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* (pow a 2) x))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* 2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* a (+ (* 2 x) (* a (pow x 2)))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* a (+ 2 (* a x))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* a (+ 2 (* a x))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* a (+ 2 (* a x))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) (+ x (* 2 (/ 1 a)))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(+ (* 2 a) (* (pow a 2) x)) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(+ (* 2 a) (* (pow a 2) x)) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(+ (* 2 a) (* (pow a 2) x)) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* x (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* x (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* x (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2))))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2))))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2))))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* x (+ a (* 2 (/ 1 x)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x))))) |
(fma.f64 a x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(+ 2 (* a x)) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a (+ x (* 2 (/ 1 a)))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(fma.f64 a x #s(literal 2 binary64)) |
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a))))) |
(fma.f64 a x #s(literal 2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
Compiled 65 297 to 5 133 computations (92.1% saved)
29 alts after pruning (20 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 825 | 8 | 2 833 |
| Fresh | 3 | 12 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 829 | 29 | 2 858 |
| Status | Accuracy | Program |
|---|---|---|
| 24.5% | (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (neg.f64 (*.f64 x a))))) #s(literal -1 binary64)) | |
| ✓ | 69.5% | (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
| 68.5% | (fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) | |
| 36.6% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) | |
| 3.1% | (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x)) | |
| 19.7% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) | |
| 68.3% | (/.f64 x (/.f64 #s(literal 1 binary64) a)) | |
| 67.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a)) | |
| ✓ | 67.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
| 67.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a))) | |
| ✓ | 24.3% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 26.6% | (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 24.2% | (-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ✓ | 24.4% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 4.0% | (+.f64 (*.f64 a x) #s(literal 1 binary64)) | |
| 32.0% | (*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a))) | |
| 68.5% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) | |
| ✓ | 68.5% | (*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
| 68.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x) | |
| 68.5% | (*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) | |
| 68.2% | (*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))))) | |
| 68.2% | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) | |
| 17.9% | (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ✓ | 69.5% | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
| 68.5% | (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) | |
| 63.3% | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| ✓ | 68.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| ✓ | 21.6% | #s(literal 0 binary64) |
Compiled 1 044 to 386 computations (63% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(/.f64 x (/.f64 #s(literal 1 binary64) a)) |
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x)) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (neg.f64 (*.f64 x a))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 a (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))) x)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
5 calls:
| 17.0ms | a |
| 14.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 13.0ms | x |
| 12.0ms | (*.f64 a x) |
| 10.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 100.0% | 1 | (exp.f64 (*.f64 a x)) |
| 100.0% | 1 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(/.f64 x (/.f64 #s(literal 1 binary64) a)) |
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x)) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (neg.f64 (*.f64 x a))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 a (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))) x)) |
| Outputs |
|---|
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
5 calls:
| 16.0ms | x |
| 14.0ms | (exp.f64 (*.f64 a x)) |
| 12.0ms | a |
| 11.0ms | (*.f64 a x) |
| 9.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 1 | a |
| 69.5% | 1 | x |
| 74.3% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 74.3% | 2 | (exp.f64 (*.f64 a x)) |
| 74.3% | 2 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(/.f64 x (/.f64 #s(literal 1 binary64) a)) |
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x)) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
4 calls:
| 16.0ms | x |
| 14.0ms | (*.f64 a x) |
| 7.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 7.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 1 | x |
| 69.5% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 69.5% | 1 | (exp.f64 (*.f64 a x)) |
| 69.5% | 1 | (*.f64 a x) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(/.f64 x (/.f64 #s(literal 1 binary64) a)) |
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x)) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
5 calls:
| 16.0ms | a |
| 8.0ms | x |
| 7.0ms | (*.f64 a x) |
| 6.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 6.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 1 | (*.f64 a x) |
| 69.5% | 1 | a |
| 69.5% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 69.5% | 1 | (exp.f64 (*.f64 a x)) |
| 69.5% | 1 | x |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(/.f64 x (/.f64 #s(literal 1 binary64) a)) |
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
5 calls:
| 31.0ms | (exp.f64 (*.f64 a x)) |
| 14.0ms | (*.f64 a x) |
| 6.0ms | x |
| 6.0ms | a |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 1 | (*.f64 a x) |
| 68.5% | 1 | a |
| 68.5% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 68.5% | 1 | (exp.f64 (*.f64 a x)) |
| 68.5% | 1 | x |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(/.f64 x (/.f64 #s(literal 1 binary64) a)) |
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 a x) |
5 calls:
| 15.0ms | (*.f64 a x) |
| 5.0ms | x |
| 5.0ms | a |
| 4.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 4.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 1 | a |
| 68.5% | 1 | (*.f64 a x) |
| 68.5% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 68.5% | 1 | (exp.f64 (*.f64 a x)) |
| 68.5% | 1 | x |
Compiled 25 to 17 computations (32% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
5 calls:
| 1.0ms | a |
| 1.0ms | x |
| 1.0ms | (*.f64 a x) |
| 1.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.6% | 1 | a |
| 21.6% | 1 | x |
| 21.6% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 21.6% | 1 | (exp.f64 (*.f64 a x)) |
| 21.6% | 1 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -232.42821606008349 | -7.684447822775271e-7 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | mul-1-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 92 |
| 1 | 53 | 92 |
| 2 | 56 | 92 |
| 3 | 60 | 92 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(*.f64 a x) |
#s(literal 0 binary64) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 a x))) |
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 a x)) |
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x))) |
(fma.f64 x a (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 a x) |
#s(literal 0 binary64) |
| 17 360× | lower-fma.f64 |
| 17 360× | lower-fma.f32 |
| 11 818× | lower-fma.f64 |
| 11 818× | lower-fma.f32 |
| 9 428× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 0 | 32 | 207 |
| 0 | 62 | 190 |
| 1 | 274 | 190 |
| 2 | 2294 | 190 |
| 0 | 9063 | 183 |
| 0 | 538 | 4220 |
| 1 | 1890 | 3895 |
| 2 | 6429 | 3821 |
| 0 | 8082 | 3581 |
| 0 | 95 | 992 |
| 1 | 308 | 992 |
| 2 | 783 | 988 |
| 3 | 2436 | 988 |
| 4 | 6574 | 988 |
| 0 | 8168 | 890 |
| 0 | 13 | 44 |
| 0 | 25 | 41 |
| 1 | 94 | 41 |
| 2 | 663 | 41 |
| 0 | 8909 | 41 |
| 0 | 63 | 432 |
| 1 | 195 | 432 |
| 2 | 526 | 424 |
| 3 | 1050 | 424 |
| 4 | 1650 | 424 |
| 5 | 1848 | 424 |
| 6 | 1875 | 424 |
| 7 | 1895 | 424 |
| 8 | 1909 | 424 |
| 9 | 1912 | 424 |
| 10 | 1912 | 424 |
| 11 | 2607 | 420 |
| 12 | 3082 | 420 |
| 13 | 4049 | 420 |
| 14 | 4050 | 420 |
| 15 | 4050 | 420 |
| 16 | 4178 | 420 |
| 17 | 4178 | 420 |
| 18 | 6095 | 416 |
| 19 | 6319 | 416 |
| 20 | 6361 | 416 |
| 21 | 6375 | 416 |
| 22 | 6375 | 416 |
| 23 | 6551 | 416 |
| 24 | 6889 | 416 |
| 25 | 6889 | 416 |
| 26 | 7463 | 416 |
| 0 | 7463 | 360 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 202 to 104 computations (48.5% saved)
(sort a x)
Compiled 252 to 112 computations (55.6% saved)
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