
Time bar (total: 1.7s)
| 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)
| 257.0ms | 8 256× | 0 | valid |
| 13.0ms | 320× | 0 | invalid |
ival-expm1: 57.0ms (48.4% of total)ival-mult!: 57.0ms (48.4% of total)adjust: 2.0ms (1.7% of total)ival->: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 40 |
| 1 | 64 | 40 |
| 2 | 134 | 40 |
| 3 | 608 | 40 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(sort a x)
Compiled 12 to 12 computations (0% saved)
| 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 |
|---|
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx x #s(hole binary64 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | a | @ | inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 314 |
| 0 | 86 | 314 |
| 1 | 574 | 314 |
| 0 | 6656 | 271 |
| 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) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx x #s(hole binary64 x)) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(*.f64 (exp.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 x a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (cosh.f64 (*.f64 x a)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (sinh.f64 (*.f64 x a)))) |
(fma.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))))) |
(fma.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 x a #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (cosh.f64 (*.f64 x a))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (sinh.f64 (*.f64 x a)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a))) |
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(/.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) (-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))))) |
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(-.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (sinh.f64 (*.f64 x a)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a)))) |
(fabs.f64 (exp.f64 (*.f64 x a))) |
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(exp.f64 (fma.f64 x a #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 x a)) |
(*.f64 (/.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 a #s(literal 1 binary64))) |
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x (/.f64 a #s(literal 1 binary64))) |
(*.f64 x a) |
(*.f64 a (/.f64 x #s(literal 1 binary64))) |
(*.f64 a x) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 a) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) a) #s(literal 1/24 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (exp (* a x)) (exp.f64 (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
#s(approx x x) |
Compiled 591 to 249 computations (57.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 7 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 72 | 8 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.0% | (-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | 49.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ▶ | 20.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 18.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 71.0% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) | |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 60.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) | |
| ▶ | 70.6% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 130 to 128 computations (1.5% saved)
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) |
(*.f64 (*.f64 x a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))) |
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (sqrt (exp (* 2 (* a x)))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2) |
| 1.0ms | x | @ | 0 | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2) |
| 1.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2) |
| 1.0ms | a | @ | inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 1090 |
| 0 | 246 | 1044 |
| 1 | 1876 | 993 |
| 0 | 8794 | 938 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) |
(*.f64 (*.f64 x a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))) |
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (sqrt (exp (* 2 (* a x)))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))) |
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x)))) (exp.f64 (*.f64 a x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) (sqrt.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(expm1.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) 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 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(*.f64 a x) |
(*.f64 x a) |
x |
a |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (*.f64 a x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a) |
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x)) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 a x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 a x) (*.f64 a (/.f64 #s(literal 1 binary64) a)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 a x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a x) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 a x) (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64))))) |
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a x))) |
(-.f64 (*.f64 a x) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+.f64 (*.f64 a x) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 a x) (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x)))) (exp.f64 (*.f64 a x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) (sqrt.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(expm1.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) 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 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) (sqrt.f64 (exp.f64 (*.f64 a x)))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 a) x) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (sinh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 a x)))) |
(fabs.f64 (exp.f64 (*.f64 a x))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) |
(exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(exp.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 a x)) |
(*.f64 (neg.f64 (exp.f64 (*.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x)))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))) |
(*.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) |
(pow.f64 (exp.f64 (+.f64 a a)) x) |
(pow.f64 (*.f64 (exp.f64 a) (exp.f64 a)) x) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) a) |
(pow.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) |
(pow.f64 (exp.f64 a) (+.f64 x x)) |
(pow.f64 (exp.f64 x) (+.f64 a a)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (cosh.f64 (*.f64 (+.f64 a a) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) (*.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x)))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fabs.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) |
(exp.f64 (+.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 a x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (+.f64 a a) x) |
(*.f64 #s(literal 2 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(*.f64 x (+.f64 a a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 a x) (*.f64 a x))))) |
(fma.f64 a x (*.f64 a x)) |
(fma.f64 x a (*.f64 a x)) |
(+.f64 (*.f64 a x) (*.f64 a x)) |
#s(literal 2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx a a) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)))) a (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a #s(literal 1 binary64))) |
#s(approx (exp (* (* x a) 2)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x a) 2)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a #s(literal 1 binary64))) |
#s(approx (exp (* (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64))) |
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x))) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x))) |
#s(approx (exp (* (* x a) 2)) (exp.f64 (*.f64 (+.f64 a a) x))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx x x) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 2/3 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)))) x (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x a) 2)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64))) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1 740 to 679 computations (61% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 4 | 165 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 164 | 9 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.0% | (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64)) |
| ▶ | 49.0% | (-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64)) |
| ✓ | 49.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ✓ | 20.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 20.8% | (-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ✓ | 18.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 64.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ✓ | 70.6% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 72 to 72 computations (0% saved)
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 x x) a) |
(*.f64 x x) |
x |
a |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) |
(-.f64 (*.f64 a x) #s(literal -1 binary64)) |
(*.f64 a x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64)) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(exp.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (+.f64 a a) x) |
(+.f64 a a) |
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))) |
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (sqrt (exp (* 2 (* a x)))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (sqrt (exp (* (+ a a) x))) 1) (sqrt (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2) 2) |
| 2.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (sqrt (exp (* (+ a a) x))) 1) (sqrt (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2) 2) |
| 2.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (sqrt (exp (* (+ a a) x))) 1) (sqrt (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2) 2) |
| 2.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (sqrt (exp (* (+ a a) x))) 1) (sqrt (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2) 2) |
| 2.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (sqrt (exp (* (+ a a) x))) 1) (sqrt (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 1373 |
| 0 | 299 | 1331 |
| 1 | 2106 | 1285 |
| 0 | 9808 | 1177 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 x x) a) |
(*.f64 x x) |
x |
a |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) |
(-.f64 (*.f64 a x) #s(literal -1 binary64)) |
(*.f64 a x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64)) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(exp.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (+.f64 a a) x) |
(+.f64 a a) |
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))) |
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (sqrt (exp (* 2 (* a x)))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))) |
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
| Outputs |
|---|
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(*.f64 a (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))))) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(fma.f64 x a (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(fma.f64 a x (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(fma.f64 a x (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(+.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) a) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) a) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (neg.f64 x)) |
(-.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a))) |
(-.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) a) |
(*.f64 x (*.f64 x a)) |
(*.f64 a (*.f64 x x)) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
a |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(-.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x a))) (*.f64 x a)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x a)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x a #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a a) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x a))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x a))) |
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x a #s(literal 1 binary64)) |
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (fma.f64 x a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 a a) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x a))) |
(-.f64 (*.f64 x a) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x a)) |
(+.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(+.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 x a) |
(*.f64 a x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a)))) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(fabs.f64 (exp.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 x a)) |
(*.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (exp.f64 (*.f64 x a))) (neg.f64 (exp.f64 (*.f64 x a)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (*.f64 x a)) (exp.f64 (*.f64 x a))) |
(pow.f64 (exp.f64 x) (+.f64 a a)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 a a)) x) |
(pow.f64 (exp.f64 a) (+.f64 x x)) |
(pow.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (cosh.f64 (*.f64 (+.f64 a a) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) (*.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x)))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fabs.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) |
(exp.f64 (+.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x)) |
(exp.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (+.f64 a a) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x a)) |
(*.f64 (*.f64 x a) #s(literal 2 binary64)) |
(*.f64 x (+.f64 a a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 (*.f64 a a) (*.f64 x x))))) |
(fma.f64 x a (*.f64 x a)) |
(fma.f64 a x (*.f64 x a)) |
(+.f64 (*.f64 x a) (*.f64 x a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a a)) a) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 a) (*.f64 a a))) (fma.f64 a a (fma.f64 a a (*.f64 a (neg.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a a))) (neg.f64 (-.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a)) |
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a a))) |
(-.f64 a (neg.f64 a)) |
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(+.f64 a a) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a)))) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(fabs.f64 (exp.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 x a)) |
(*.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (exp.f64 (*.f64 x a))) (neg.f64 (exp.f64 (*.f64 x a)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (*.f64 x a)) (exp.f64 (*.f64 x a))) |
(pow.f64 (exp.f64 x) (+.f64 a a)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 a a)) x) |
(pow.f64 (exp.f64 a) (+.f64 x x)) |
(pow.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (cosh.f64 (*.f64 (+.f64 a a) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) (*.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x)))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fabs.f64 (exp.f64 (*.f64 (+.f64 a a) x))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) |
(exp.f64 (+.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x)) |
(exp.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (*.f64 (sinh.f64 #s(literal 2 binary64)) (sinh.f64 #s(literal 2 binary64))) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 (exp.f64 #s(literal 4 binary64))) |
(sqrt.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (exp.f64 #s(literal 2 binary64)))) |
(fabs.f64 (exp.f64 #s(literal 2 binary64))) |
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64))) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 x a)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) x) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (* (* x x) a) (*.f64 (*.f64 x x) a)) |
#s(approx a a) |
#s(approx (sqrt (exp (* (+ a a) x))) #s(literal 1 binary64)) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)))) a (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a #s(literal 1 binary64))) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a #s(literal 1 binary64))) |
#s(approx (exp (* (+ a a) x)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64))) |
#s(approx (exp (* (+ a a) x)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a #s(literal 1 binary64))) |
#s(approx (exp (* (+ a a) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64))) |
#s(approx (* (+ a a) x) (*.f64 (+.f64 a a) x)) |
#s(approx (+ a a) (+.f64 a a)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) (*.f64 a a))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)) |
#s(approx (sqrt (exp (* (+ a a) x))) (exp.f64 (*.f64 x a))) |
#s(approx (- (* a x) -1) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (sqrt (exp (* (+ a a) x))) (exp.f64 (*.f64 x a))) |
#s(approx (exp (* (+ a a) x)) (exp.f64 (*.f64 (+.f64 a a) x))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (neg.f64 x) a)))) |
#s(approx (- (* a x) -1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x)) |
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 2/3 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)))) x (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x #s(literal 1 binary64))) |
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x #s(literal 1 binary64))) |
#s(approx (exp (* (+ a a) x)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x #s(literal 1 binary64))) |
#s(approx (exp (* (+ a a) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (- (* a x) -1) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (- (* a x) -1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 2 648 to 1 079 computations (59.3% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 2 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 232 | 10 | 242 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.1% | (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64)) |
| ▶ | 49.0% | (-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | 49.0% | (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64)) |
| ✓ | 49.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ✓ | 20.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.8% | (-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ✓ | 18.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 64.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ✓ | 70.6% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 84 to 83 computations (1.2% saved)
| Inputs |
|---|
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64))) |
(*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 x a) #s(literal 2 binary64)) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) |
(exp.f64 (neg.f64 (*.f64 x a))) |
(neg.f64 (*.f64 x a)) |
| Outputs |
|---|
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* 1/4 (* a (* x (log (pow (exp 2) 2))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))) (* a (+ (* 1/2 (* a (- (* 1/384 (* (pow x 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 1)) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* 1/4 (* a (* x (log (pow (exp 2) 2)))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* 1/2 (* a (* x (log (pow (exp 2) 2)))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* x (log (pow (exp 2) 2))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/2 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx (/ (* x a) 2) #s(hole binary64 (* 1/2 (* a x)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/24 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* -1 (* a x))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (neg (* x a)) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))) 1))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (exp (* 1/2 (* a (* x (log (pow (exp 2) 2)))))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (- (/ 1 (exp (neg (* a x)))) 1))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (/ 1 (exp (neg (* a x)))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (exp (neg (* a x))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))) (* x (+ (* 1/2 (* x (- (* 1/384 (* (pow a 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* a (log (pow (exp 2) 2))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/6 (pow a 4)) (+ (* 1/24 (pow a 4)) (* a (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))))))) (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | ((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a))) |
| 4.0ms | a | @ | 0 | ((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a))) |
| 3.0ms | x | @ | 0 | ((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a))) |
| 2.0ms | a | @ | -inf | ((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a))) |
| 2.0ms | x | @ | -inf | ((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 2391 |
| 0 | 340 | 1657 |
| 1 | 2537 | 1521 |
| 0 | 9984 | 1411 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64))) |
(*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 x a) #s(literal 2 binary64)) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) |
(exp.f64 (neg.f64 (*.f64 x a))) |
(neg.f64 (*.f64 x a)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* 1/4 (* a (* x (log (pow (exp 2) 2))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))) (* a (+ (* 1/2 (* a (- (* 1/384 (* (pow x 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 1)) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* 1/4 (* a (* x (log (pow (exp 2) 2)))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* 1/2 (* a (* x (log (pow (exp 2) 2)))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* x (log (pow (exp 2) 2))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/2 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx (/ (* x a) 2) #s(hole binary64 (* 1/2 (* a x)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/24 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* -1 (* a x))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (neg (* x a)) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))) 1))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (exp (* 1/2 (* a (* x (log (pow (exp 2) 2)))))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (- (/ 1 (exp (neg (* a x)))) 1))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (/ 1 (exp (neg (* a x)))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (exp (neg (* a x))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))) (* x (+ (* 1/2 (* x (- (* 1/384 (* (pow a 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* a (log (pow (exp 2) 2))))))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/6 (pow a 4)) (+ (* 1/24 (pow a 4)) (* a (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))))))) (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))) |
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))))) (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) (neg.f64 (+.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (+.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64))) |
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(expm1.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1/2 binary64))) |
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(-.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64)) |
(+.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal -1 binary64)) |
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(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) |
(fabs.f64 (neg.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))))) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64))))) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) |
(fabs.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64))))) (neg.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
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(*.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) |
(*.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
(pow.f64 (*.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1/2 binary64)) |
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(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) #s(literal 1 binary64)) |
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(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (sinh.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (exp.f64 #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (exp.f64 #s(literal 2 binary64))) (neg.f64 (exp.f64 #s(literal 2 binary64)))) |
(*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (exp.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (exp.f64 #s(literal 4 binary64))) |
(+.f64 (cosh.f64 #s(literal 4 binary64)) (sinh.f64 #s(literal 4 binary64))) |
(exp.f64 #s(literal 4 binary64)) |
(*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
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(sqrt.f64 (exp.f64 #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (exp.f64 #s(literal 2 binary64)))) |
(fabs.f64 (exp.f64 #s(literal 2 binary64))) |
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64))) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a x)) |
(*.f64 x (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) a) #s(literal -2 binary64)) |
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(/.f64 (*.f64 a x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 a x))) |
(*.f64 a x) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) a))))) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) |
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(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 x) a)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a))) #s(literal 1 binary64)))) |
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(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a))) #s(literal -1 binary64)) |
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(-.f64 (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a))) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) |
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(pow.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) a))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) a))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 x) a)))) |
(-.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 (neg.f64 x) a))) |
(fabs.f64 (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) |
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 x) a)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 x) a) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (neg.f64 x) a))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (neg.f64 x) a))) |
(pow.f64 (exp.f64 (neg.f64 a)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) a) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 a x)) |
(pow.f64 (exp.f64 a) (neg.f64 x)) |
(pow.f64 (exp.f64 x) (neg.f64 a)) |
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (fma.f64 (sinh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) a)) (exp.f64 (*.f64 (neg.f64 x) a)))) |
(-.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) |
(fabs.f64 (-.f64 (sinh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a)))) |
(fabs.f64 (exp.f64 (*.f64 (neg.f64 x) a))) |
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 (neg.f64 x) a))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x))) |
(exp.f64 (*.f64 (neg.f64 x) a)) |
(*.f64 (neg.f64 a) x) |
(*.f64 (neg.f64 x) a) |
(*.f64 #s(literal -1 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal -1 binary64)) |
(*.f64 a (neg.f64 x)) |
(*.f64 x (neg.f64 a)) |
(neg.f64 (*.f64 a x)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) a) #s(literal 1/4 binary64))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) a) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) a)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))) a (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))) a)) a)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 (*.f64 (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))) #s(literal 4 binary64)) x (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) a (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) a)) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(literal 1 binary64)) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) a) #s(literal 1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) a) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) a #s(literal 1 binary64))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))) a (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))) a)) a #s(literal 1 binary64))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a) #s(literal 1 binary64))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) a) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) x))) a #s(literal 1 binary64))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) a) #s(literal 1/48 binary64))) a (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) x))) a #s(literal 1 binary64))) |
#s(approx (/ (* x a) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) |
#s(approx (* x a) (*.f64 a x)) |
#s(approx a a) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 x)) a)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) x))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))) a) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a)) |
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 x)) a #s(literal 1 binary64))) |
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a #s(literal 1 binary64))) |
#s(approx (exp (neg (* x a))) (fma.f64 (neg.f64 x) a #s(literal 1 binary64))) |
#s(approx (exp (neg (* x a))) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (neg.f64 x)) a #s(literal 1 binary64))) |
#s(approx (exp (neg (* x a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a (neg.f64 x)) a #s(literal 1 binary64))) |
#s(approx (neg (* x a)) (*.f64 (neg.f64 x) a)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a)) #s(literal 1/2 binary64)))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a))))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a)))) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (expm1.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) |
#s(approx (/ 1 (exp (neg (* x a)))) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) |
#s(approx (exp (neg (* x a))) (exp.f64 (*.f64 (neg.f64 x) a))) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/4 binary64))) x)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))) x (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)))) x)) x)) |
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 256 binary64)) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))) #s(literal 4 binary64)) a (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)))))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))))) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))) x (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/4 binary64))) x)) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/4 binary64))) x #s(literal 1 binary64))) |
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))) x (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)))) x)) x #s(literal 1 binary64))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 #s(literal 16 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) |
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) (*.f64 #s(literal 64 binary64) x))) x (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) (neg.f64 a)) x)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64)))) a (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/24 binary64)))))) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64))))) x) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) (neg.f64 a)) x #s(literal 1 binary64))) |
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* x a))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (neg.f64 a)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* x a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal -1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x #s(literal 1 binary64))) |
Compiled 2 073 to 786 computations (62.1% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 1 | 188 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 8 | 8 |
| Total | 188 | 10 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.1% | (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64)) |
| 49.0% | (-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 49.0% | (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64)) |
| ✓ | 49.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ✓ | 20.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.8% | (-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ✓ | 18.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 64.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ✓ | 70.6% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 178 to 153 computations (14% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 4.0ms | x |
| 4.0ms | a |
| 4.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 3.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 a x) |
| 100.0% | 1 | (exp.f64 (*.f64 a x)) |
| 100.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 100.0% | 1 | a |
| 100.0% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 4.0ms | x |
| 2.0ms | a |
| 2.0ms | (*.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 |
|---|---|---|
| 70.6% | 1 | (*.f64 a x) |
| 70.6% | 1 | (exp.f64 (*.f64 a x)) |
| 70.6% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.6% | 1 | a |
| 70.6% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | a |
| 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 |
|---|---|---|
| 18.3% | 1 | a |
| 18.3% | 1 | x |
| 18.3% | 1 | (*.f64 a x) |
| 18.3% | 1 | (exp.f64 (*.f64 a x)) |
| 18.3% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | fuel |
Compiled 15 to 12 computations (20% saved)
(sort a x)
Compiled 63 to 60 computations (4.8% saved)
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