
Time bar (total: 1.8s)
| 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)
| 302.0ms | 8 256× | 0 | valid |
| 13.0ms | 322× | 0 | invalid |
ival-expm1: 60.0ms (52.3% of total)ival-mult!: 51.0ms (44.5% of total)adjust: 2.0ms (1.7% of total)ival->: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 141 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 a x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) | cancellation | 141 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 141 | 0 |
| - | 0 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 141 | 0 | 0 |
| - | 0 | 0 | 115 |
| number | freq |
|---|---|
| 0 | 115 |
| 1 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 42 to 22 computations (47.6% saved)
ival-expm1: 5.0ms (41.1% of total)ival-exp: 4.0ms (32.9% of total)ival-mult!: 3.0ms (24.7% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 42 |
| 1 | 45 | 42 |
| 2 | 81 | 42 |
| 3 | 219 | 42 |
| 4 | 977 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.1% | (-.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 x) #s(hole binary64 (* a x))) |
#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 | |
|---|---|---|---|---|
| 44.0ms | a | @ | 0 | ((- (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 | a | @ | inf | ((- (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 | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 321 |
| 0 | 87 | 321 |
| 1 | 479 | 321 |
| 0 | 4482 | 278 |
| 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 x) #s(hole binary64 (* a x))) |
#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 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) |
(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 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.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 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))) |
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(/.f64 (*.f64 (pow.f64 (exp.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)))))) |
(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 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(*.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x a) |
(*.f64 a x) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64)) |
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 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 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 (pow.f64 x #s(literal 3 binary64)) 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 x) (*.f64 x a)) |
#s(approx a a) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (exp (* a x)) (pow.f64 (exp.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 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 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 (pow.f64 a #s(literal 3 binary64)) 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 709 to 182 computations (74.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 5 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 5 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.9% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 68.9% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
| ▶ | 71.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 100 to 78 computations (22% 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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(literal 1/2 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 (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#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 (+ (* x a) 1) #s(hole binary64 1)) |
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#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 (+ (* x a) 1) #s(hole binary64 (* a x))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#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)) 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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 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) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 2.0ms | 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) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 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) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 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) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 920 |
| 0 | 180 | 874 |
| 1 | 860 | 866 |
| 0 | 7046 | 835 |
| 1× | iter-limit |
| 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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(literal 1/2 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 (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#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 (+ (* x a) 1) #s(hole binary64 1)) |
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#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 (+ (* x a) 1) #s(hole binary64 (* a x))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#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)) 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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) |
(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 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 a x #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))) |
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a (*.f64 x #s(literal 1 binary64))) |
(*.f64 a x) |
(*.f64 x a) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
x |
a |
(/.f64 (neg.f64 (fma.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 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 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(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.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 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 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(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.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) (fma.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(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)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 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 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #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)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #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 2 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)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 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)) |
(*.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 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) a) x) |
(*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) x) a) |
(*.f64 a (+.f64 (pow.f64 a #s(literal -1 binary64)) x)) |
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) a) (-.f64 x (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) a) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 a (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x)))) |
(/.f64 (*.f64 a (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (-.f64 x (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a))) |
(/.f64 (*.f64 x (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64)))) (-.f64 a (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) a) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x) a) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) a) |
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a a) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) a) a) |
(fma.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) |
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64)))) |
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a x)) a)) |
(-.f64 a (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))) |
(-.f64 a (*.f64 (neg.f64 (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 a (*.f64 (neg.f64 (*.f64 (*.f64 a x) a)) #s(literal 1/2 binary64))) |
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)))))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) |
(+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (neg.f64 a) x) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) x)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x)) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 a x) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 x (*.f64 a a)) |
(*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) a) |
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a))) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 a (*.f64 #s(literal -1 binary64) (neg.f64 a))) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(neg.f64 (*.f64 a (neg.f64 a))) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (* x a) (*.f64 a x)) |
#s(approx a a) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #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 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #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 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (+ (* x a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (* (* a a) x) (*.f64 (*.f64 a x) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (exp (* a x)) (pow.f64 (exp.f64 a) x)) |
#s(approx (+ (* x a) 1) (*.f64 a x)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx x x) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 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 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 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
Compiled 6 372 to 1 076 computations (83.1% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 4 | 312 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 309 | 8 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.9% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 71.8% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
| ▶ | 66.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ▶ | 71.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
| ▶ | 56.5% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
| ✓ | 71.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 115 to 82 computations (28.7% saved)
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(/.f64 a x) |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
#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) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)) |
(*.f64 #s(literal 1/2 binary64) x) |
| 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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#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 x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a x))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#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 (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #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 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#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 (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x)))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#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) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 1609 |
| 0 | 235 | 1530 |
| 1 | 909 | 1518 |
| 0 | 6792 | 1473 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(/.f64 a x) |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
#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) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#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 x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a x))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#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 (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #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 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#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 (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x)))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#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) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) x)) |
(*.f64 #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) x) |
(*.f64 x #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64))) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a x) x) (*.f64 (/.f64 a x) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (/.f64 a x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x a) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 a x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 a x) x) (*.f64 (/.f64 a x) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (/.f64 a x) x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 a x) x)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (/.f64 a x) x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) (*.f64 (/.f64 a x) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a x) x)) |
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (/.f64 a x) x)) |
(fma.f64 x (/.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 (/.f64 a x) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x)) |
(+.f64 (*.f64 (/.f64 a x) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (/.f64 a x) x)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) a) a) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 a a) (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) |
(*.f64 a (*.f64 a (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x a) #s(literal -2 binary64))) (*.f64 a a)) (-.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (*.f64 a a)) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x a) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal -2 binary64))) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) a) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a x))))) |
(/.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x a) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (+.f64 (pow.f64 (*.f64 x a) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x a) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 a (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) a) a (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 a) (/.f64 a x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 a)) (fabs.f64 a) (/.f64 a x)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64))) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) (/.f64 a x)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64))) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 1/2 binary64)) (/.f64 a x)) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 a a) (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) a (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (/.f64 a x)) |
(fma.f64 a (*.f64 a (pow.f64 (*.f64 x a) #s(literal -1 binary64))) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 a (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) a) (/.f64 a x)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))) (/.f64 (pow.f64 (/.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)))) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64))) (*.f64 a a))) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) a)) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 a x) (*.f64 (neg.f64 (*.f64 a a)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 a x) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 a x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)) |
(+.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(neg.f64 (*.f64 a (neg.f64 a))) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
a |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) a) a) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 a a) (pow.f64 (*.f64 x a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) a) |
(*.f64 a (*.f64 a (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(*.f64 a (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 (neg.f64 a) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 x a)) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) x)) |
(/.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 x a)) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 a) (neg.f64 x)) |
(/.f64 a x) |
(neg.f64 (/.f64 (neg.f64 a) x)) |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (neg.f64 a))) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
(*.f64 a (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) a) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (neg.f64 x))) a) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) a) (fma.f64 (*.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 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 (neg.f64 a) a)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) #s(literal 2 binary64))) x) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x a) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x a) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) a) (*.f64 a a))) |
(/.f64 (*.f64 a (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 a (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.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 x))) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 (neg.f64 a) a))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) a)) |
(/.f64 (*.f64 x (-.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) #s(literal 2 binary64)))) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x a) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 a) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 x a)) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 x a)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x (*.f64 x a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x a) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x a) a) (*.f64 x a)) |
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 x a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 x a) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 x a) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 x a)) |
(fma.f64 x a (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 a x (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 a) x))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 a) x)))) |
(-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) x)) |
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a)) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) x)) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x a) a))) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 (*.f64 (*.f64 x a) a)) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 x a) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a)) |
(+.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) a) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) a) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx a a) |
#s(approx (/ a x) (/.f64 a x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) a) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (* a x) a) (*.f64 (*.f64 x a) a)) |
#s(approx (* a x) (*.f64 x a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) 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) a) (*.f64 (*.f64 x x) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) 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 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx x x) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) 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 (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x 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 (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
Compiled 12 552 to 1 862 computations (85.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 456 | 2 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 456 | 10 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.9% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 71.8% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
| ✓ | 66.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ✓ | 71.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
| ▶ | 71.8% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)) |
| ✓ | 56.5% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
| ▶ | 56.8% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
| ✓ | 71.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 182 to 124 computations (31.9% saved)
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) |
(*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) |
(/.f64 a x) |
a |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x a)) |
#s(literal 1/2 binary64) |
(*.f64 x a) |
(/.f64 (*.f64 (neg.f64 a) x) x) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
| 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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 a)) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* 1/2 (* x a)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* 1/2 (* x a)) #s(hole binary64 (* 1/2 (* a x)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx (/ (* (neg a) x) x) #s(hole binary64 (* -1 a))) |
#s(approx (* (neg a) x) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (- (* 1/2 (* (pow a 2) x)) (* -1 a)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x)))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (/ a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) (* (* 1/2 (* x a)) a) (* 1/2 (* x a)) 1/2 (* x a) (/ (* (neg a) x) x) (* (neg a) x) (neg a)) |
| 2.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (/ a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) (* (* 1/2 (* x a)) a) (* 1/2 (* x a)) 1/2 (* x a) (/ (* (neg a) x) x) (* (neg a) x) (neg a)) |
| 2.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (/ a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) (* (* 1/2 (* x a)) a) (* 1/2 (* x a)) 1/2 (* x a) (/ (* (neg a) x) x) (* (neg a) x) (neg a)) |
| 2.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (/ a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) (* (* 1/2 (* x a)) a) (* 1/2 (* x a)) 1/2 (* x a) (/ (* (neg a) x) x) (* (neg a) x) (neg a)) |
| 2.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (/ a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) (* (* 1/2 (* x a)) a) (* 1/2 (* x a)) 1/2 (* x a) (/ (* (neg a) x) x) (* (neg a) x) (neg a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1185 |
| 0 | 187 | 1168 |
| 1 | 793 | 1065 |
| 0 | 6221 | 960 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) |
(*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) |
(/.f64 a x) |
a |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x a)) |
#s(literal 1/2 binary64) |
(*.f64 x a) |
(/.f64 (*.f64 (neg.f64 a) x) x) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
#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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 a)) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* 1/2 (* x a)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* 1/2 (* x a)) #s(hole binary64 (* 1/2 (* a x)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx (/ (* (neg a) x) x) #s(hole binary64 (* -1 a))) |
#s(approx (* (neg a) x) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 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 (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (- (* 1/2 (* (pow a 2) x)) (* -1 a)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x)))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x) |
(*.f64 x #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) |
(*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) |
(*.f64 x #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) a) a) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (*.f64 a a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) x)) |
(*.f64 (*.f64 a a) (pow.f64 (*.f64 x a) #s(literal -1 binary64))) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) a) |
(*.f64 a (*.f64 a (pow.f64 (*.f64 x a) #s(literal -1 binary64)))) |
(*.f64 a (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 (neg.f64 a) x)) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) x)) |
(/.f64 (*.f64 a a) (*.f64 x a)) |
(/.f64 (neg.f64 a) (neg.f64 x)) |
(/.f64 a (neg.f64 (neg.f64 x))) |
(/.f64 a x) |
(neg.f64 (/.f64 (neg.f64 a) x)) |
a |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) x) |
(*.f64 x #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x))) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) a) a) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x))) x) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x))) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x (neg.f64 a)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x)) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x (neg.f64 a))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x) |
(*.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x)) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x)))) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64))) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))) a) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal -2 binary64))) (*.f64 a a)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))) (*.f64 a a)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (pow.f64 (/.f64 a x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a x) x) (*.f64 (/.f64 a x) x))) (-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 a x) x))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 a x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 a x) x) (*.f64 (/.f64 a x) x)) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 a x) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 (neg.f64 a) a))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (fma.f64 a a (neg.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) (*.f64 a a)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 (neg.f64 a) a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (fma.f64 a a (neg.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) (*.f64 a a))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x (neg.f64 a)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x (neg.f64 a)))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x (neg.f64 a))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) (*.f64 (/.f64 a x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) a) |
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(fma.f64 (neg.f64 x) (/.f64 (neg.f64 a) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 a x) x)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a) |
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(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 (/.f64 a x) x)) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (fma.f64 a a (neg.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (fma.f64 a a (neg.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a))) |
(-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a)) |
(-.f64 a (*.f64 (neg.f64 (*.f64 (*.f64 a a) x)) #s(literal 1/2 binary64))) |
(-.f64 a (*.f64 (neg.f64 (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x a)) a)) |
(-.f64 a (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x)) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (neg.f64 x)) (*.f64 (/.f64 (neg.f64 a) x) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (neg.f64 a) x) (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 a) x))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 a) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
(+.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) (*.f64 a a))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) (*.f64 a a)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (/.f64 a x) x) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 a x) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a) |
(+.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) |
(*.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) a)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x a))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x a)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))) |
(*.f64 (*.f64 x a) #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) a)) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x a))) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 x) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) x)) |
(*.f64 (*.f64 (neg.f64 a) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 x a) |
(*.f64 a x) |
(neg.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (*.f64 (/.f64 a x) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 a x)) |
(*.f64 (/.f64 (neg.f64 a) x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 a x) x)) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 (neg.f64 a) #s(literal 1 binary64)) |
(*.f64 (/.f64 a x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (neg.f64 a)) |
(*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 x (/.f64 (neg.f64 a) x)) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 a) x) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 a) x) x) |
(/.f64 (*.f64 x a) (neg.f64 x)) |
(neg.f64 (*.f64 (/.f64 a x) x)) |
(neg.f64 a) |
(*.f64 (neg.f64 x) a) |
(*.f64 #s(literal -1 binary64) (*.f64 x a)) |
(*.f64 (neg.f64 a) x) |
(*.f64 (*.f64 x a) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 a)) |
(*.f64 a (neg.f64 x)) |
(neg.f64 (*.f64 x a)) |
(*.f64 (*.f64 (/.f64 a x) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 a x)) |
(*.f64 (/.f64 (neg.f64 a) x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 a x) x)) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 (neg.f64 a) #s(literal 1 binary64)) |
(*.f64 (/.f64 a x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (neg.f64 a)) |
(*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 x (/.f64 (neg.f64 a) x)) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 a) x) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 a) x) x) |
(/.f64 (*.f64 x a) (neg.f64 x)) |
(neg.f64 (*.f64 (/.f64 a x) x)) |
(neg.f64 a) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#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 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (/ a x) (/.f64 a x)) |
#s(approx a a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (* 1/2 (* x a)) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (* x a)) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))) |
#s(approx (* x a) (*.f64 x a)) |
#s(approx (/ (* (neg a) x) x) (neg.f64 a)) |
#s(approx (* (neg a) x) (*.f64 (neg.f64 a) x)) |
#s(approx (/ (* (neg a) x) x) (neg.f64 a)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#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 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx x x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
Compiled 8 885 to 1 288 computations (85.5% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 2 | 257 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 255 | 12 | 267 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.9% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 71.8% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
| ✓ | 66.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ✓ | 71.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
| ✓ | 71.8% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)) |
| 71.6% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)))) x)) | |
| ✓ | 56.5% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
| 28.9% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 a a) (*.f64 x a))) x)) x)) | |
| ✓ | 56.8% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
| ✓ | 71.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 531 to 245 computations (53.9% 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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
#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 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) 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) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 a a) (*.f64 x a))) x)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)))) x)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (exp.f64 (*.f64 a x)) #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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)) |
#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 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) 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) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 a a) (*.f64 x a))) x)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)))) x)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 5.0ms | x |
| 4.0ms | a |
| 3.0ms | (*.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 |
|---|---|---|
| 71.9% | 1 | (*.f64 a x) |
| 71.9% | 1 | (exp.f64 (*.f64 a x)) |
| 71.9% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.9% | 1 | a |
| 71.9% | 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 |
|---|---|---|
| 21.6% | 1 | (exp.f64 (*.f64 a x)) |
| 21.6% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 21.6% | 1 | (*.f64 a x) |
| 21.6% | 1 | a |
| 21.6% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | fuel |
Compiled 22 to 12 computations (45.5% saved)
(sort a x)
Compiled 108 to 82 computations (24.1% saved)
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