
Time bar (total: 8.1s)
| 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)
| 498.0ms | 8 256× | 0 | valid |
| 14.0ms | 303× | 0 | invalid |
ival-mult: 252.0ms (74.2% of total)ival-expm1: 52.0ms (15.3% of total)ival->: 26.0ms (7.7% of total)exact: 7.0ms (2.1% of total)ival-assert: 3.0ms (0.9% 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 |
|---|---|---|---|---|---|
| 123 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 a x)) |
| 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 | 123 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 0 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 0 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 52 to 28 computations (46.2% saved)
ival-mult: 5.0ms (41.2% of total)ival-exp: 4.0ms (32.9% of total)ival-expm1: 3.0ms (24.7% 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 |
|---|---|---|
| ▶ | 56.8% | (-.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 | 56.8% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 13.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-exp: 3.0ms (42.4% of total)ival-mult: 2.0ms (28.3% of total)ival-expm1: 2.0ms (28.3% 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 | x | @ | inf | (* a x) |
| 0.0ms | a | @ | 0 | (* 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)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 6 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 178 | 6 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.4% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 19.4% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 60.6% | (*.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)) | |
| ▶ | 59.6% | (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
| ▶ | 63.9% | (*.f64 a x) |
| ▶ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 106 to 66 computations (37.7% 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 | 98.5% | (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
| ✓ | accuracy | 92.2% | (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 | 56.8% | (-.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)) |
| 21.0ms | 79× | 2 | valid |
| 13.0ms | 76× | 1 | valid |
| 10.0ms | 101× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-mult: 9.0ms (32.9% of total)adjust: 7.0ms (25.6% of total)ival-sub: 4.0ms (14.6% of total)ival-add: 3.0ms (11% of total)ival-expm1: 3.0ms (11% of total)ival-assert: 0.0ms (0% of total)exact: 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 1.0ms | a | @ | 0 | (* a (+ (* a (* 1/2 (* x x))) x)) |
| 1.0ms | 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 | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 860 | 24 | 884 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.8% | (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)) |
| 20.0% | (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)) | |
| 33.7% | (/.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))) | |
| 11.6% | (/.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (*.f64 a (*.f64 a (*.f64 x x)))) | |
| 19.9% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) | |
| 11.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))))) | |
| 19.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))) | |
| 63.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| 5.6% | (-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 20.3% | (-.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)) | |
| ▶ | 20.2% | (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.4% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 22.3% | (-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) | |
| 21.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 21.5% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| 63.2% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) | |
| ▶ | 63.5% | (*.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)))) |
| 19.1% | (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ▶ | 64.5% | (*.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)) |
| 60.6% | (*.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)) | |
| 63.2% | (*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 63.9% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| ▶ | 19.4% | #s(literal 0 binary64) |
Compiled 785 to 430 computations (45.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 192 | (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)) |
| ✓ | 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 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 256 | (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
| ✓ | 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)) |
| 15 828× | lower-fma.f32 |
| 15 812× | lower-fma.f64 |
| 3 300× | lower-*.f32 |
| 3 274× | lower-*.f64 |
| 3 076× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 235 |
| 0 | 63 | 223 |
| 1 | 137 | 220 |
| 2 | 390 | 208 |
| 3 | 985 | 208 |
| 4 | 4606 | 208 |
| 0 | 8377 | 202 |
| 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) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
a |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(fma.f64 a x #s(literal 1 binary64)) |
#s(literal 1 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)) |
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) |
(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)) |
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 a (*.f64 x x)) |
(*.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))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) |
(*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))) |
(fma.f64 a x #s(literal -1 binary64)) |
#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 a (*.f64 x 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 a (*.f64 x a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 a (*.f64 x 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) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a)) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 a (*.f64 x a)) #s(literal 1/2 binary64)) |
a |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(fma.f64 a x #s(literal 1 binary64)) |
(fma.f64 x a #s(literal 1 binary64)) |
#s(literal 1 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 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) |
(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 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 a (*.f64 x (*.f64 a (*.f64 x a)))) #s(literal 1 binary64)) (fma.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 a (*.f64 x (*.f64 a (*.f64 x a)))) #s(literal 1 binary64)) |
(*.f64 a x) |
(*.f64 x a) |
a |
x |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 x (*.f64 a (*.f64 x a))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x (*.f64 x 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))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))) |
(*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) |
(fma.f64 a x #s(literal -1 binary64)) |
(fma.f64 x a #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) |
| ✓ | accuracy | 93.8% | (*.f64 a (*.f64 a (*.f64 x x))) |
| ✓ | accuracy | 90.0% | (*.f64 a (*.f64 x x)) |
| ✓ | accuracy | 29.4% | (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)) |
| ✓ | 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 | 79.2% | (*.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 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 91.9% | (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
| ✓ | accuracy | 56.8% | (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 97.7% | (*.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)) |
| 45.0ms | 71× | 2 | valid |
| 36.0ms | 76× | 1 | valid |
| 26.0ms | 101× | 0 | valid |
| 6.0ms | 8× | 3 | valid |
Compiled 260 to 40 computations (84.6% saved)
ival-mult: 38.0ms (45.3% of total)ival-add: 18.0ms (21.5% of total)adjust: 14.0ms (16.7% of total)ival-div: 7.0ms (8.3% of total)const: 4.0ms (4.8% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% 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 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))> |
#<alt (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))> |
#<alt (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))))> |
#<alt (*.f64 a (*.f64 x #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 (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))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))> |
#<alt (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64))> |
#<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 (*.f64 a (*.f64 x x))> |
#<alt (*.f64 a (*.f64 a (*.f64 x x)))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 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 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 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))> |
#<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 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* 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 (* 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 (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))> |
#<alt (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))> |
#<alt (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))))) (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 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 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))> |
#<alt (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))> |
#<alt (* x (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 4)) (* a (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))))) (* a (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 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 1> |
#<alt (+ 1 (* -1 (* a x)))> |
#<alt (+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))> |
#<alt (+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* a x)))> |
#<alt (+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))> |
#<alt (+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))> |
#<alt 1> |
#<alt (+ 1 (* (pow a 3) (pow x 3)))> |
#<alt (+ 1 (* (pow a 3) (pow x 3)))> |
#<alt (+ 1 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3)))> |
#<alt (* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3)))> |
#<alt (* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3)))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3)))))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3)))))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3)))))> |
#<alt 1> |
#<alt (+ 1 (* (pow a 3) (pow x 3)))> |
#<alt (+ 1 (* (pow a 3) (pow x 3)))> |
#<alt (+ 1 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3)))> |
#<alt (* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3)))> |
#<alt (* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3)))> |
#<alt (* (pow a 3) (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3)))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3)))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3)))))> |
#<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 (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))> |
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))> |
#<alt (/ 1 (* (pow a 2) (pow x 2)))> |
#<alt (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2))> |
#<alt (/ (- (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (/ 1 (* (pow a 3) (pow x 5)))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (/ 1 (* a (pow x 6))) (/ 1 (pow x 5))) (pow a 3))) (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2)))) (pow a 2))> |
#<alt (/ 1 (* (pow a 2) (pow x 2)))> |
#<alt (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (- (/ 1 (* (pow a 2) (pow x 5))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (/ 1 (* (pow a 2) (pow x 5))) (/ 1 (* (pow a 3) (pow x 6)))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) (pow a 2))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))> |
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))> |
#<alt (/ 1 (* (pow a 2) (pow x 2)))> |
#<alt (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2))> |
#<alt (/ (- (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (/ 1 (* (pow a 5) (pow x 3)))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (/ 1 (* (pow a 6) x)) (/ 1 (pow a 5))) (pow x 3))) (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2)))) (pow x 2))> |
#<alt (/ 1 (* (pow a 2) (pow x 2)))> |
#<alt (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (/ 1 (* (pow a 5) (pow x 2))) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (/ 1 (* (pow a 5) (pow x 2))) (/ 1 (* (pow a 6) (pow x 3)))) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) (pow x 2))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | -inf | (+ (* (+ (* (* a x) (* a (* a (* x x)))) 1) (/ 1 (+ 1 (* (* a x) (+ (* a x) -1))))) -1) |
| 5.0ms | x | @ | inf | (* x 1/6) |
| 3.0ms | x | @ | inf | (+ (* (+ (* (* a x) (* a (* a (* x x)))) 1) (/ 1 (+ 1 (* (* a x) (+ (* a x) -1))))) -1) |
| 3.0ms | a | @ | inf | (+ (* (+ (* (* a x) (* a (* a (* x x)))) 1) (/ 1 (+ 1 (* (* a x) (+ (* a x) -1))))) -1) |
| 3.0ms | x | @ | -inf | (+ (* (+ (* (* a x) (* a (* a (* x x)))) 1) (/ 1 (+ 1 (* (* a x) (+ (* a x) -1))))) -1) |
| 1× | batch-egg-rewrite |
| 7 636× | lower-fma.f32 |
| 7 620× | lower-fma.f64 |
| 4 578× | lower-*.f32 |
| 4 552× | lower-*.f64 |
| 3 744× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 190 |
| 0 | 62 | 177 |
| 1 | 261 | 163 |
| 2 | 2156 | 163 |
| 0 | 8421 | 156 |
| 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 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 a (*.f64 x #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 (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 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) |
(*.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))) |
(*.f64 a (*.f64 x x)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) |
| Outputs |
|---|
(+.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x a)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x a))) (/.f64 (*.f64 a (*.f64 x (*.f64 x a))) (-.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x a)))) |
(fma.f64 x a (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 x a) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 x a)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(fma.f64 a x (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(fma.f64 a (*.f64 (*.f64 x (*.f64 a (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 x a) (*.f64 x (*.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 binary64) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 x 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 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x a #s(literal 2 binary64))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(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 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 x (*.f64 x a))) (*.f64 x a)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (*.f64 a (*.f64 x (*.f64 x a))) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 x (*.f64 x a)) #s(literal 4 binary64)) (*.f64 x (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (*.f64 x a)) #s(literal -4 binary64))) (fma.f64 x a #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (*.f64 x a)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 x (*.f64 x a)) |
(*.f64 a (*.f64 x x)) |
(*.f64 (*.f64 x a) x) |
(*.f64 (*.f64 x x) a) |
(exp.f64 (*.f64 (log.f64 (*.f64 x a)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x a) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 x a)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 a a))) |
(*.f64 a (*.f64 x (*.f64 x a))) |
(*.f64 (*.f64 x a) (*.f64 x a)) |
(*.f64 (*.f64 x (*.f64 a a)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x a)))) |
(*.f64 (*.f64 x x) (*.f64 a a)) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (*.f64 x a)) a) |
(*.f64 (*.f64 a (*.f64 x (*.f64 x a))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x a)) (neg.f64 (*.f64 x a))) |
(*.f64 (*.f64 a a) (*.f64 x x)) |
(*.f64 (*.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.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) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
(pow.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))))) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (-.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (-.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))) (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (fma.f64 x a #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 9 232× | lower-fma.f64 |
| 9 232× | lower-fma.f32 |
| 6 484× | lower-*.f64 |
| 6 484× | lower-*.f32 |
| 1 672× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 4098 |
| 1 | 1623 | 4030 |
| 2 | 5148 | 3996 |
| 0 | 8293 | 3802 |
| 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) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* 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 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* 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) |
(* 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 (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) |
(* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) |
(* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))))) (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))) |
(* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))) |
(* x (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 4)) (* a (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))))) (* a (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
1 |
(+ 1 (* -1 (* a x))) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
1 |
(+ 1 (* -1 (* a x))) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
1 |
(+ 1 (* (pow a 3) (pow x 3))) |
(+ 1 (* (pow a 3) (pow x 3))) |
(+ 1 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (pow x 3)) |
(* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3))) |
(* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3))) |
(* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3))) |
(* (pow a 3) (pow x 3)) |
(* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3))))) |
(* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3))))) |
(* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3))))) |
1 |
(+ 1 (* (pow a 3) (pow x 3))) |
(+ 1 (* (pow a 3) (pow x 3))) |
(+ 1 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (pow x 3)) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3))) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3))) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3))) |
(* (pow a 3) (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3))))) |
(* 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)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2)) |
(/ (- (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (/ 1 (* (pow a 3) (pow x 5)))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (/ 1 (* a (pow x 6))) (/ 1 (pow x 5))) (pow a 3))) (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2)))) (pow a 2)) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2)) |
(/ (+ (* -1 (/ (- (/ 1 (* (pow a 2) (pow x 5))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) (pow a 2)) |
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow a 2) (pow x 5))) (/ 1 (* (pow a 3) (pow x 6)))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) (pow a 2)) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/ (- (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (/ 1 (* (pow a 5) (pow x 3)))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (/ 1 (* (pow a 6) x)) (/ 1 (pow a 5))) (pow x 3))) (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2)))) (pow x 2)) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/ (+ (* -1 (/ (- (/ 1 (* (pow a 5) (pow x 2))) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow a 5) (pow x 2))) (/ 1 (* (pow a 6) (pow x 3)))) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) (pow x 2)) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) 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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.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 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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 x (*.f64 x #s(literal 1/2 binary64)))) 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 x (*.f64 x #s(literal 1/2 binary64)))) 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 x (*.f64 x #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 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) a) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.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 (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) a) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.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 (*.f64 a (*.f64 a a)) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.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)) (neg.f64 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 (fma.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)) (neg.f64 a))) (*.f64 a (*.f64 a (neg.f64 a)))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 a (*.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) |
(* 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 (*.f64 x #s(literal 1/2 binary64)) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 (*.f64 a 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 a (*.f64 (*.f64 a 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 a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) 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)))) |
(* -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 a (*.f64 x #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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a (*.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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #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 x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x))) (*.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))))) |
(* (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 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x))) (*.f64 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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) (/.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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) (/.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) |
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 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 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 (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) (fma.f64 a (*.f64 a (/.f64 x a)) #s(literal 1 binary64))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) (fma.f64 a (*.f64 a (/.f64 x a)) #s(literal 1 binary64))) |
(* 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 (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(*.f64 (*.f64 a a) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(*.f64 (*.f64 a a) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a))) |
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 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 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 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) (fma.f64 (*.f64 x x) (/.f64 a x) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))) (fma.f64 (*.f64 x x) (/.f64 a x) #s(literal 1 binary64))) |
(* 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 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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 (*.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 #s(literal 1/2 binary64) (*.f64 a (*.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 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a 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 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #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 a (*.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)))) |
(* 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 a (*.f64 a (fma.f64 x x (*.f64 x (/.f64 #s(literal 2 binary64) a))))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (*.f64 x (/.f64 #s(literal 2 binary64) a))))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (*.f64 x (/.f64 #s(literal 2 binary64) a))))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (*.f64 x (/.f64 #s(literal 2 binary64) a))))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (*.f64 x (/.f64 #s(literal 2 binary64) a))))) |
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (*.f64 x (/.f64 #s(literal 2 binary64) a))))) |
(* 2 (* a x)) |
(*.f64 a (*.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)))) |
(* 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 (*.f64 x x) (fma.f64 a (/.f64 #s(literal 2 binary64) x) (*.f64 a a))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (fma.f64 a (/.f64 #s(literal 2 binary64) x) (*.f64 a a))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (fma.f64 a (/.f64 #s(literal 2 binary64) x) (*.f64 a a))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (fma.f64 a (/.f64 #s(literal 2 binary64) x) (*.f64 a a))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (fma.f64 a (/.f64 #s(literal 2 binary64) x) (*.f64 a a))) |
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (fma.f64 a (/.f64 #s(literal 2 binary64) x) (*.f64 a a))) |
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)) |
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 (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) |
(*.f64 a x) |
(* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) |
(*.f64 a x) |
(* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))))) (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 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) |
(* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))) |
(*.f64 a x) |
(* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))) |
(*.f64 a x) |
(* x (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 4)) (* a (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))))) (* a (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a x))) |
(fma.f64 a (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a))))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(fma.f64 a (*.f64 a (/.f64 x (neg.f64 a))) (fma.f64 (*.f64 a a) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(fma.f64 a (*.f64 a (/.f64 x (neg.f64 a))) (fma.f64 (*.f64 a a) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a))))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) a)) a)))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) a)) a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a x))) |
(fma.f64 a (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 a x))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(fma.f64 x (*.f64 x (/.f64 a (neg.f64 x))) (fma.f64 (*.f64 a a) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(fma.f64 x (*.f64 x (/.f64 a (neg.f64 x))) (fma.f64 (*.f64 a a) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 a x))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (-.f64 a (/.f64 #s(literal 1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (-.f64 a (/.f64 #s(literal 1 binary64) x)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (pow a 3) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow a 3) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow a 3) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow a 3) (+ (/ 1 (pow a 3)) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3))))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3))))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* -1 (* (pow a 3) (- (* -1 (pow x 3)) (/ 1 (pow a 3))))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (pow a 3) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow a 3) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow a 3) (pow x 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 3) (+ (/ 1 (pow x 3)) (pow a 3))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow a 3) (pow x 3)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3))))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3))))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (pow a 3)) (/ 1 (pow x 3))))) |
(fma.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 1 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)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
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#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)) |
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(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
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(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) a #s(literal -1/2 binary64))) |
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#s(literal 1/2 binary64) |
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(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
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(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))) |
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(neg.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) |
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(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(neg.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (* a x))) |
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
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(fma.f64 a (fma.f64 x #s(literal -1/4 binary64) (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) |
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(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 4 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) 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) |
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(/ 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)) |
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) 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)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (* a x))) |
(fma.f64 a (*.f64 x #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 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 a (*.f64 a (*.f64 a a)))))))) 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)) |
(/.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 (-.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) (/.f64 #s(literal 1 binary64) a)) x) |
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(*.f64 a (*.f64 x x)) |
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(*.f64 a (*.f64 x x)) |
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(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
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(* a (pow x 2)) |
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(*.f64 a (*.f64 x x)) |
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(* a (pow x 2)) |
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(* a (pow x 2)) |
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(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
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(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(fma.f64 a (fma.f64 a (*.f64 a (*.f64 x (*.f64 x (neg.f64 x)))) x) #s(literal 1 binary64)) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (*.f64 a a)) |
(/ (- (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (/ 1 (* (pow a 3) (pow x 5)))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (/ 1 (* a (pow x 6))) (/ 1 (pow x 5))) (pow a 3))) (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2)))) (pow a 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (*.f64 a a)) |
(/ (+ (* -1 (/ (- (/ 1 (* (pow a 2) (pow x 5))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))) (*.f64 a a)) |
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow a 2) (pow x 5))) (/ 1 (* (pow a 3) (pow x 6)))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 x #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) a)) (*.f64 a a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 a (*.f64 a (neg.f64 a)))) a) #s(literal 1 binary64)) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 a a))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (/ 1 (* (pow a 5) (pow x 3)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 a a))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (/ 1 (* (pow a 6) x)) (/ 1 (pow a 5))) (pow x 3))) (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 a a)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ 1 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 a a))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (/ 1 (* (pow a 5) (pow x 2))) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 a a)))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow a 5) (pow x 2))) (/ 1 (* (pow a 6) (pow x 3)))) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (pow.f64 a #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))))) x)) (*.f64 x x)) |
Compiled 49 246 to 3 310 computations (93.3% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 597 | 6 | 1 603 |
| Fresh | 10 | 6 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 610 | 17 | 1 627 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) (/.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)) | |
| 56.3% | (fma.f64 #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)) | |
| ▶ | 19.9% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
| 63.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ▶ | 20.2% | (-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 21.4% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 4.5% | (-.f64 (*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) #s(literal 1 binary64)) | |
| 4.4% | (-.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) | |
| ▶ | 21.5% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ▶ | 63.2% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
| ▶ | 63.5% | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
| ✓ | 64.5% | (*.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)) |
| 60.6% | (*.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)) | |
| 63.2% | (*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 63.9% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| ✓ | 19.4% | #s(literal 0 binary64) |
Compiled 387 to 233 computations (39.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 x x))) |
| ✓ | cost-diff | 1664 | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
| ✓ | 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 x (fma.f64 x a #s(literal 2 binary64))) |
| ✓ | 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 | 1792 | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
| 18 302× | lower-fma.f32 |
| 18 292× | lower-fma.f64 |
| 4 472× | lower-*.f32 |
| 4 452× | lower-*.f64 |
| 2 278× | lower-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 148 |
| 0 | 47 | 184 |
| 1 | 109 | 184 |
| 2 | 247 | 184 |
| 3 | 810 | 184 |
| 4 | 3734 | 124 |
| 5 | 6394 | 124 |
| 0 | 8367 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
a |
(fma.f64 x a #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 x a #s(literal 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 a x) |
a |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
x |
(fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) |
a |
(*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
(*.f64 x a) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
a |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 a x) |
| Outputs |
|---|
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
(*.f64 a x) |
(*.f64 a (fma.f64 x a #s(literal 2 binary64))) |
(*.f64 a (fma.f64 a x #s(literal 2 binary64))) |
a |
(fma.f64 x a #s(literal 2 binary64)) |
(fma.f64 a x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 x a #s(literal 2 binary64))) |
(/.f64 x (fma.f64 a x #s(literal 2 binary64))) |
(+.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) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(*.f64 a x) |
a |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) |
(fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) |
a |
(*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(*.f64 x a) |
(*.f64 a x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a x) |
(*.f64 a (*.f64 a (*.f64 x x))) |
a |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 a x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 93.8% | (*.f64 a (*.f64 a (*.f64 x x))) |
| ✓ | accuracy | 90.0% | (*.f64 a (*.f64 x x)) |
| ✓ | accuracy | 45.7% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) |
| ✓ | accuracy | 98.1% | (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
| ✓ | accuracy | 56.8% | (-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | accuracy | 98.5% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
| ✓ | accuracy | 100.0% | (fma.f64 a x #s(literal -1 binary64)) |
| ✓ | accuracy | 56.8% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | 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 | 92.6% | (/.f64 x (fma.f64 x a #s(literal 2 binary64))) |
| ✓ | accuracy | 91.7% | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64)))) |
| 32.0ms | 75× | 2 | valid |
| 26.0ms | 76× | 1 | valid |
| 18.0ms | 101× | 0 | valid |
| 2.0ms | 3× | 3 | valid |
| 1.0ms | 1× | 4 | valid |
Compiled 164 to 30 computations (81.7% saved)
ival-mult: 24.0ms (45.4% of total)ival-add: 12.0ms (22.7% of total)adjust: 9.0ms (17% of total)ival-div: 4.0ms (7.6% of total)ival-sub: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (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 (/.f64 x (fma.f64 x a #s(literal 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)> |
#<alt (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)> |
#<alt (*.f64 a x)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))> |
#<alt (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a)> |
#<alt (*.f64 (*.f64 x a) #s(literal 1/2 binary64))> |
#<alt (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))> |
#<alt (*.f64 a (*.f64 a (*.f64 x x)))> |
#<alt (*.f64 a (*.f64 x x))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<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)> |
#<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 x)> |
#<alt (* x (+ 1/2 (* -1/4 (* a x))))> |
#<alt (* x (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a)))))> |
#<alt (* x (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a)))))> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x))))> |
#<alt (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) 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))))> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x))))> |
#<alt (+ (* -1 (/ (- (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (* (pow a 3) x)))) x)) (/ 1 a))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow a 3))) (* 8 (/ 1 (* (pow a 4) x)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/4 (* a (pow x 2))) (* 1/2 x))> |
#<alt (+ (* 1/2 x) (* a (- (* 1/8 (* a (pow x 3))) (* 1/4 (pow x 2)))))> |
#<alt (+ (* 1/2 x) (* a (- (* a (- (* -1/16 (* a (pow x 4))) (* -1/8 (pow x 3)))) (* 1/4 (pow x 2)))))> |
#<alt (/ 1 a)> |
#<alt (/ (- 1 (* 2 (/ 1 (* a x)))) a)> |
#<alt (/ (- (+ 1 (/ 4 (* (pow a 2) (pow x 2)))) (/ 2 (* a x))) a)> |
#<alt (/ (- (+ 1 (* 4 (/ 1 (* (pow a 2) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 3)))) (/ 2 (* a x)))) a)> |
#<alt (/ 1 a)> |
#<alt (* -1 (/ (- (* 2 (/ 1 (* a x))) 1) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 2)))) (* 2 (/ 1 x))) a)) 1) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 3)))) (* 4 (/ 1 (pow x 2)))) a)) (* 2 (/ 1 x))) a)) 1) 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 -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 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 (* 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 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<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 (* 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 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))> |
#<alt a> |
#<alt (* a (+ 1 (* 1/2 (* a x))))> |
#<alt (* a (+ 1 (* 1/2 (* a x))))> |
#<alt (* a (+ 1 (* 1/2 (* a x))))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))> |
#<alt a> |
#<alt (+ a (* 1/2 (* (pow a 2) x)))> |
#<alt (+ a (* 1/2 (* (pow a 2) x)))> |
#<alt (+ a (* 1/2 (* (pow a 2) x)))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* x (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* x (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* x (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* 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 (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (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)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (- (+ (* x (+ (* a (* (* x a) 1/2)) a)) 1) 1) |
| 0.0ms | a | @ | inf | (/ x (+ (* x a) 2)) |
| 0.0ms | x | @ | -inf | (/ x (+ (* x a) 2)) |
| 0.0ms | a | @ | -inf | (* a (+ (* x a) 2)) |
| 0.0ms | x | @ | -inf | (* x 1/2) |
| 1× | batch-egg-rewrite |
| 4 640× | lower-/.f32 |
| 4 636× | lower-/.f64 |
| 4 454× | lower-*.f32 |
| 4 446× | lower-fma.f32 |
| 4 436× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 126 |
| 0 | 47 | 126 |
| 1 | 210 | 120 |
| 2 | 1507 | 104 |
| 0 | 8161 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (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)) |
(/.f64 x (fma.f64 x a #s(literal 2 binary64))) |
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 a x) |
(*.f64 x #s(literal 1/2 binary64)) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) |
(*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 a x #s(literal 2 binary64))) (*.f64 a (*.f64 a x))) (*.f64 (/.f64 x (fma.f64 a x #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 a (*.f64 a x)) (/.f64 x (fma.f64 a x #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 x x)) (neg.f64 x)))) |
(fma.f64 (/.f64 x (fma.f64 a x #s(literal 2 binary64))) (*.f64 a (*.f64 a x)) (*.f64 (/.f64 x (fma.f64 a x #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a (*.f64 a x)) (/.f64 x (fma.f64 a x #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 x x)) (neg.f64 x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (*.f64 x x))) x))) |
(/.f64 (*.f64 a (fma.f64 a x #s(literal 2 binary64))) (/.f64 (fma.f64 a x #s(literal 2 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (*.f64 a (fma.f64 a x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (*.f64 (*.f64 a (fma.f64 a x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (neg.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 a (fma.f64 a x #s(literal 2 binary64))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (*.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a x #s(literal 2 binary64)))))) |
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(*.f64 (/.f64 (neg.f64 (*.f64 a a)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 a x))) |
(*.f64 (/.f64 (neg.f64 (*.f64 a a)) (*.f64 a x)) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a x)) (fma.f64 (fma.f64 a x #s(literal -1 binary64)) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -2 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -2 binary64))))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (fma.f64 (fma.f64 a x #s(literal -1 binary64)) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 a x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a (neg.f64 x)) #s(literal 2 binary64)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 x (*.f64 a (*.f64 a x))) |
(*.f64 (*.f64 a x) (*.f64 a x)) |
(*.f64 (*.f64 x x) (*.f64 a a)) |
(*.f64 (*.f64 a (*.f64 x x)) a) |
(*.f64 (*.f64 a (neg.f64 x)) (*.f64 a (neg.f64 x))) |
(*.f64 (*.f64 a a) (*.f64 x x)) |
(*.f64 (*.f64 a (*.f64 a x)) x) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 a x #s(literal -1 binary64)) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x (*.f64 a x)) |
(*.f64 (*.f64 a x) x) |
(*.f64 (*.f64 x x) a) |
(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 |
| 7 164× | lower-fma.f64 |
| 7 164× | lower-fma.f32 |
| 3 806× | lower-*.f64 |
| 3 806× | lower-*.f32 |
| 3 450× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 2607 |
| 1 | 774 | 2587 |
| 2 | 1961 | 2581 |
| 3 | 6504 | 2572 |
| 0 | 8094 | 2404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) |
(* 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 x) |
(* x (+ 1/2 (* -1/4 (* a x)))) |
(* x (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))) |
(* x (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))) |
(/ 1 a) |
(- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) |
(- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) |
(- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) |
(/ 1 a) |
(- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) |
(+ (* -1 (/ (- (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (* (pow a 3) x)))) x)) (/ 1 a)) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow a 3))) (* 8 (/ 1 (* (pow a 4) x)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) |
(* 1/2 x) |
(+ (* -1/4 (* a (pow x 2))) (* 1/2 x)) |
(+ (* 1/2 x) (* a (- (* 1/8 (* a (pow x 3))) (* 1/4 (pow x 2))))) |
(+ (* 1/2 x) (* a (- (* a (- (* -1/16 (* a (pow x 4))) (* -1/8 (pow x 3)))) (* 1/4 (pow x 2))))) |
(/ 1 a) |
(/ (- 1 (* 2 (/ 1 (* a x)))) a) |
(/ (- (+ 1 (/ 4 (* (pow a 2) (pow x 2)))) (/ 2 (* a x))) a) |
(/ (- (+ 1 (* 4 (/ 1 (* (pow a 2) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 3)))) (/ 2 (* a x)))) a) |
(/ 1 a) |
(* -1 (/ (- (* 2 (/ 1 (* a x))) 1) a)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 2)))) (* 2 (/ 1 x))) a)) 1) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 3)))) (* 4 (/ 1 (pow x 2)))) a)) (* 2 (/ 1 x))) a)) 1) 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) |
-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))) |
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))) |
(* 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 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 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))) |
(* 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))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* 1/2 (* a x)))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(* 1/2 (* (pow a 2) x)) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* 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) |
(* a x) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (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) |
(*.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) |
(*.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)) |
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(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
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(*.f64 a (*.f64 a x)) |
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#s(literal 2 binary64) |
(+ 2 (* a x)) |
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(*.f64 a x) |
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(*.f64 a x) |
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#s(literal 2 binary64) |
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(*.f64 a x) |
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(* a x) |
(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
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(* a x) |
(*.f64 a x) |
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#s(literal -1 binary64) |
(- (* a x) 1) |
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#s(literal -1 binary64) |
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(fma.f64 a x #s(literal -1 binary64)) |
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(*.f64 a x) |
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(*.f64 a x) |
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(* 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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(* 1/2 (* (pow a 2) (pow x 2))) |
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(* a x) |
(*.f64 a x) |
(* a x) |
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(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
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 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(fma.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* a (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* a (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(+ a (* 1/2 (* (pow a 2) x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(+ a (* 1/2 (* (pow a 2) x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #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) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.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 32 629 to 1 997 computations (93.9% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 455 | 11 | 1 466 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 457 | 26 | 1 483 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) (/.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)) | |
| 56.3% | (fma.f64 #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)) | |
| 42.8% | (/.f64 (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) x) | |
| 25.6% | (/.f64 (*.f64 a (*.f64 (*.f64 a x) x)) (*.f64 a x)) | |
| ✓ | 19.9% | (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
| 63.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| ✓ | 20.2% | (-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 21.4% | (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 4.5% | (-.f64 (*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) #s(literal 1 binary64)) | |
| 4.4% | (-.f64 (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 21.5% | (+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 4.2% | (+.f64 (*.f64 a x) #s(literal 1 binary64)) | |
| ✓ | 63.2% | (*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
| 63.6% | (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) | |
| 63.5% | (*.f64 (/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) x) (fma.f64 a x #s(literal 2 binary64))) a) | |
| 3.6% | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (*.f64 a x))) | |
| 4.1% | (*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) | |
| 27.3% | (*.f64 (*.f64 a (*.f64 x x)) (/.f64 a (*.f64 a x))) | |
| 17.9% | (*.f64 (*.f64 a a) (/.f64 (*.f64 x x) (*.f64 a x))) | |
| 46.2% | (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) a) | |
| ✓ | 64.5% | (*.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)) |
| 60.6% | (*.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)) | |
| 63.2% | (*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 63.9% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| ✓ | 19.4% | #s(literal 0 binary64) |
Compiled 903 to 333 computations (63.1% 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 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(-.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) a) |
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 x x) (*.f64 a x))) |
(*.f64 (*.f64 a (*.f64 x x)) (/.f64 a (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(/.f64 (*.f64 a (*.f64 (*.f64 a 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 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (*.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 (/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) x) (fma.f64 a x #s(literal 2 binary64))) a) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #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 (*.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 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (*.f64 a (*.f64 a (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) (/.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 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))))) |
(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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x 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)) |
(/.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))) |
(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)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
5 calls:
| 12.0ms | a |
| 12.0ms | x |
| 12.0ms | (exp.f64 (*.f64 a x)) |
| 12.0ms | (*.f64 a x) |
| 11.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 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 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(-.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) a) |
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 x x) (*.f64 a x))) |
(*.f64 (*.f64 a (*.f64 x x)) (/.f64 a (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(/.f64 (*.f64 a (*.f64 (*.f64 a 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 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (*.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 (/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) x) (fma.f64 a x #s(literal 2 binary64))) a) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #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 (*.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 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (*.f64 a (*.f64 a (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 x (*.f64 x x)))) (/.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 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))))) |
(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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)))) (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x 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)) |
(/.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))) |
(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)) |
| Outputs |
|---|
(fma.f64 #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 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:
| 17.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 15.0ms | a |
| 12.0ms | x |
| 11.0ms | (*.f64 a x) |
| 10.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 2 | a |
| 78.1% | 2 | x |
| 99.8% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 99.8% | 2 | (exp.f64 (*.f64 a x)) |
| 99.8% | 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 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(-.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) a) |
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 x x) (*.f64 a x))) |
(*.f64 (*.f64 a (*.f64 x x)) (/.f64 a (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(/.f64 (*.f64 a (*.f64 (*.f64 a 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 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (*.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 (/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) x) (fma.f64 a x #s(literal 2 binary64))) a) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.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:
| 10.0ms | a |
| 9.0ms | x |
| 8.0ms | (*.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 |
|---|---|---|
| 64.5% | 1 | x |
| 64.5% | 1 | a |
| 66.3% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 66.3% | 2 | (exp.f64 (*.f64 a x)) |
| 66.3% | 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 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(-.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) a) |
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 x x) (*.f64 a x))) |
(*.f64 (*.f64 a (*.f64 x x)) (/.f64 a (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(/.f64 (*.f64 a (*.f64 (*.f64 a 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 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (*.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 (/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) x) (fma.f64 a x #s(literal 2 binary64))) a) |
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a (/.f64 x (fma.f64 a x #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
| 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)) |
4 calls:
| 10.0ms | a |
| 8.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 8.0ms | (*.f64 a x) |
| 7.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 1 | a |
| 64.5% | 1 | (*.f64 a x) |
| 64.5% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 64.5% | 1 | (exp.f64 (*.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 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 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a) |
(-.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) a) |
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 x x) (*.f64 a x))) |
(*.f64 (*.f64 a (*.f64 x x)) (/.f64 a (*.f64 a x))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)) |
(/.f64 (*.f64 a (*.f64 (*.f64 a 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 |
|---|
(*.f64 a x) |
5 calls:
| 9.0ms | (exp.f64 (*.f64 a x)) |
| 7.0ms | (*.f64 a x) |
| 7.0ms | x |
| 7.0ms | a |
| 6.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 1 | (*.f64 a x) |
| 63.9% | 1 | x |
| 63.9% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 63.9% | 1 | (exp.f64 (*.f64 a x)) |
| 63.9% | 1 | a |
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:
| 2.0ms | 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 |
|---|---|---|
| 19.4% | 1 | (*.f64 a x) |
| 19.4% | 1 | a |
| 19.4% | 1 | x |
| 19.4% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 19.4% | 1 | (exp.f64 (*.f64 a x)) |
Compiled 25 to 17 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -751427.122771426 | -6.608291877757674e-6 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999933917299569 |
Compiled 11 to 11 computations (0% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 96 |
| 1 | 41 | 96 |
| 2 | 44 | 96 |
| 3 | 49 | 96 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -500000 binary64)) (fma.f64 #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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) |
(if (<=.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)) (-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.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 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(*.f64 a x) |
#s(literal 0 binary64) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -500000 binary64)) (fma.f64 #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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))) |
(if (<=.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)) (-.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.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))) |
(if (<=.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) (*.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 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)) |
(*.f64 a x) |
#s(literal 0 binary64) |
| 17 360× | lower-fma.f64 |
| 17 360× | lower-fma.f32 |
| 9 428× | lower-fma.f32 |
| 9 424× | lower-fma.f64 |
| 9 232× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 0 | 496 | 4098 |
| 1 | 1623 | 4030 |
| 2 | 5148 | 3996 |
| 0 | 8293 | 3802 |
| 0 | 13 | 44 |
| 0 | 25 | 41 |
| 1 | 94 | 41 |
| 2 | 663 | 41 |
| 0 | 8909 | 41 |
| 0 | 95 | 992 |
| 1 | 308 | 992 |
| 2 | 783 | 988 |
| 3 | 2436 | 988 |
| 4 | 6574 | 988 |
| 0 | 8168 | 890 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 187 to 87 computations (53.5% saved)
(sort a x)
Compiled 236 to 88 computations (62.7% saved)
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