
Time bar (total: 13.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 1 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 3 |
| 0% | 0% | 22.2% | 74.6% | 0% | 3.2% | 0% | 4 |
| 0% | 0% | 20.6% | 74.6% | 0% | 4.8% | 0% | 5 |
| 0% | 0% | 18.3% | 74.6% | 0% | 7.1% | 0% | 6 |
| 0% | 0% | 10.7% | 74.6% | 0% | 14.7% | 0% | 7 |
| 0% | 0% | 9.3% | 74.6% | 0% | 16.1% | 0% | 8 |
| 0% | 0% | 8.2% | 74.6% | 0% | 17.2% | 0% | 9 |
| 0% | 0% | 5.7% | 74.6% | 0% | 19.7% | 0% | 10 |
| 0% | 0% | 5% | 74.6% | 0% | 20.4% | 0% | 11 |
| 0% | 0% | 4.4% | 74.6% | 0% | 21% | 0% | 12 |
Compiled 52 to 27 computations (48.1% saved)
| 8.2s | 63 253× | 0 | invalid |
| 960.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-mult!: 2.3s (34.9% of total)ival-expm1: 1.5s (23.5% of total)ival-<=: 997.0ms (15.3% of total)ival-fabs: 774.0ms (11.9% of total)ival-div!: 455.0ms (7% of total)ival-add!: 240.0ms (3.7% of total)ival-and: 137.0ms (2.1% of total)ival-fmin: 73.0ms (1.1% of total)ival-assert: 29.0ms (0.4% of total)adjust: 14.0ms (0.2% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 257 |
| 1 | 401 | 250 |
| 2 | 1477 | 250 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.0% | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(sort a b)
Compiled 48 to 34 computations (29.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 596 | 3707 |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
eps |
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (+.f64 a b) eps)) |
(*.f64 (+.f64 a b) eps) |
(+.f64 a b) |
a |
b |
#s(literal 1 binary64) |
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a eps)) |
(*.f64 a eps) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 b eps)) |
(*.f64 b eps) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 b eps)))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (*.f64 eps (expm1.f64 (*.f64 b eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 b eps))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 b eps))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps)))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (exp.f64 (*.f64 b eps))))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps))))))) |
#s(approx (* (+ a b) eps) (*.f64 b eps)) |
#s(approx (* (+ a b) eps) (fma.f64 a eps (*.f64 b eps))) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx a a) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (*.f64 eps (expm1.f64 (*.f64 b eps))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps))) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 b eps))))))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a eps)) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))))))) |
#s(approx (exp (* a eps)) #s(literal 1 binary64)) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a eps))) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 eps (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 eps (+.f64 a b)))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (+.f64 a b)))) |
#s(approx (* (+ a b) eps) (*.f64 a (+.f64 eps (/.f64 (*.f64 b eps) a)))) |
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))) |
#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps))) |
#s(approx (exp (* a eps)) (exp.f64 (*.f64 a eps))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a)))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) |
#s(approx (* (+ a b) eps) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b eps) a)))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 a eps)))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (*.f64 eps (expm1.f64 (*.f64 a eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (expm1.f64 (*.f64 a eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (expm1.f64 (*.f64 a eps))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (*.f64 eps (exp.f64 (*.f64 a eps))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (exp.f64 (*.f64 a eps)))))) #s(literal 1 binary64))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (*.f64 eps (exp.f64 (*.f64 a eps)))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 eps (exp.f64 (*.f64 a eps))))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 (exp.f64 (*.f64 a eps)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))))) (*.f64 eps (exp.f64 (*.f64 a eps))))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (*.f64 eps (expm1.f64 (*.f64 a eps))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 a eps)))) (*.f64 eps (expm1.f64 (*.f64 a eps)))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 a eps))))) (*.f64 eps (expm1.f64 (*.f64 a eps)))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 a eps))) (*.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 b (*.f64 (pow.f64 eps #s(literal 4 binary64)) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 a eps))))))) (*.f64 eps (expm1.f64 (*.f64 a eps)))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 b (+.f64 eps (*.f64 b (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 b (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b eps))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 eps (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (* (+ a b) eps) (*.f64 b (+.f64 eps (/.f64 (*.f64 a eps) b)))) |
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b)))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) |
#s(approx (exp (* (+ a b) eps)) (exp.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) |
#s(approx (* (+ a b) eps) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a eps) b)))))) |
#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a b))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))) |
#s(approx (* eps (- (exp (* (+ a b) eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 a (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64))))))))))) |
#s(approx eps eps) |
#s(approx (- (exp (* (+ a b) eps)) 1) (*.f64 eps (+.f64 a b))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (*.f64 eps (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (*.f64 eps (+.f64 a (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))) |
#s(approx (- (exp (* (+ a b) eps)) 1) (*.f64 eps (+.f64 a (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 a b) #s(literal 3 binary64))))))))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 a b)))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 a (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64))))))))) |
#s(approx (exp (* (+ a b) eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 a (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 a (*.f64 b (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))))))) |
#s(approx (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a b (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))))))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 eps (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 eps (+.f64 a (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))) |
#s(approx (- (exp (* a eps)) 1) (*.f64 eps (+.f64 a (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) eps) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)))))) |
#s(approx (exp (* a eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 a (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 eps (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 eps (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))))) |
#s(approx (- (exp (* b eps)) 1) (*.f64 eps (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) eps) (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 3 binary64)))))))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps)))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 13.0ms | eps | -inf |
| 5.0ms | eps | inf |
| 4.0ms | eps | 0 |
| 3.0ms | b | 0 |
| 3.0ms | a | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 99 |
| 0 | 30 | 99 |
| 1 | 141 | 99 |
| 2 | 521 | 99 |
| 3 | 2832 | 99 |
| 0 | 4165 | 81 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
eps |
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (+.f64 a b) eps)) |
(*.f64 (+.f64 a b) eps) |
(+.f64 a b) |
a |
b |
#s(literal 1 binary64) |
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a eps)) |
(*.f64 a eps) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 b eps)) |
(*.f64 b eps) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 b eps))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))) (/.f64 eps (expm1.f64 (*.f64 b eps)))) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))) |
(*.f64 (neg.f64 eps) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(*.f64 (neg.f64 eps) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(*.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)) |
(*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))))) |
(*.f64 eps (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))) |
(/.f64 (*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (expm1.f64 (*.f64 b eps))) |
(/.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps)) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (expm1.f64 (*.f64 a eps))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (neg.f64 eps) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)))) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal -1 binary64)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps))))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 (expm1.f64 (*.f64 a eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 a eps))) |
(/.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 b eps))))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (neg.f64 (expm1.f64 (*.f64 b eps))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) |
(/.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 a eps)) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 b eps))) (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b eps)) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(neg.f64 (*.f64 (*.f64 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))))) |
(neg.f64 (*.f64 (neg.f64 eps) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps))) |
(fma.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))))) |
(fma.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (neg.f64 eps))) |
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps)))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))))) |
(+.f64 (*.f64 eps (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) (*.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (/.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps))) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(*.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 eps)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps #s(literal 1 binary64))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(*.f64 eps (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(*.f64 eps (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 eps))))) |
(neg.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps)))) |
(fma.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (neg.f64 eps)) (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 #s(literal -1 binary64) eps (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(fma.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 eps) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (neg.f64 eps) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) eps (*.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps)) |
(fma.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (neg.f64 eps)) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (neg.f64 eps)) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps (neg.f64 eps)) |
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(fma.f64 eps (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 eps #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(fma.f64 eps (cosh.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) |
(fma.f64 eps (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(fma.f64 eps (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
(fma.f64 eps (exp.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 eps)) |
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 #s(literal 1 binary64) eps)) |
(-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 (neg.f64 eps))) |
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(+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (neg.f64 eps)) |
(+.f64 (neg.f64 eps) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps)) |
(+.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64))) |
(+.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) |
eps |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) (exp.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) (exp.f64 (*.f64 (+.f64 b a) eps))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))) |
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(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps)))))) |
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(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 (*.f64 b eps)) (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a eps)) (exp.f64 (*.f64 b eps)) #s(literal -1 binary64)) |
(expm1.f64 (/.f64 (fma.f64 (+.f64 b a) eps (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64))) |
(expm1.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (fma.f64 (+.f64 b a) eps (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps))) |
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) #s(literal -1 binary64))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (+.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) |
(-.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) #s(literal 0 binary64)) |
(-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) |
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) (sinh.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 b a) eps))) |
(+.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64))) |
(+.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) (sinh.f64 (*.f64 (+.f64 b a) eps)))) (sinh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 b) a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 (+.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 b a) eps)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) (cosh.f64 (*.f64 (+.f64 b a) eps)))) (cosh.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) (/.f64 eps #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 b eps)) (pow.f64 (exp.f64 eps) (neg.f64 (neg.f64 a)))) |
(*.f64 (exp.f64 (*.f64 b eps)) (exp.f64 (*.f64 a eps))) |
(*.f64 (exp.f64 (*.f64 a eps)) (exp.f64 (*.f64 b eps))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 eps #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) (+.f64 eps eps))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 eps) (+.f64 b a)) |
(pow.f64 (exp.f64 (+.f64 b a)) eps) |
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (cosh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (+.f64 b a) eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
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a |
b |
#s(literal 1 binary64) |
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(neg.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 a eps)) #s(literal -1 binary64))) |
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(expm1.f64 (/.f64 (fma.f64 a eps (*.f64 a eps)) #s(literal 2 binary64))) |
(expm1.f64 (/.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (fma.f64 a eps (*.f64 a eps)) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
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(expm1.f64 (*.f64 a eps)) |
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(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 eps #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 eps (+.f64 a a))) #s(literal 1/2 binary64)) |
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(pow.f64 (exp.f64 a) eps) |
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(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))))) #s(literal 4 binary64)) |
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(neg.f64 (neg.f64 (exp.f64 (*.f64 a eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a eps))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 a eps))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 (*.f64 (neg.f64 a) eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a eps))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 a eps))) |
(sqrt.f64 (exp.f64 (*.f64 eps (+.f64 a a)))) |
(-.f64 (sinh.f64 (*.f64 a eps)) (neg.f64 (cosh.f64 (*.f64 a eps)))) |
(-.f64 (cosh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 (neg.f64 a) eps))) |
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 a eps))) (sinh.f64 (*.f64 a eps)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 a eps)))) |
(fabs.f64 (exp.f64 (*.f64 a eps))) |
(exp.f64 (/.f64 (fma.f64 a eps (*.f64 a eps)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 a eps (*.f64 a eps)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 eps (+.f64 a a)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) a)) |
(exp.f64 (neg.f64 (*.f64 (neg.f64 a) eps))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) eps)) |
(exp.f64 (*.f64 a eps)) |
(+.f64 (sinh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps))) |
(+.f64 (cosh.f64 (*.f64 a eps)) (sinh.f64 (neg.f64 (*.f64 (neg.f64 a) eps)))) |
(+.f64 (cosh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 a eps))) |
(*.f64 a eps) |
(*.f64 eps a) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 b eps)))) (exp.f64 (*.f64 b eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 b) eps))) (exp.f64 (*.f64 b eps))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 b eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (*.f64 eps (+.f64 b b)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 b eps)))) |
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(neg.f64 (neg.f64 (expm1.f64 (*.f64 b eps)))) |
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(expm1.f64 (/.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 1/2 binary64))) |
(expm1.f64 (*.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(expm1.f64 (neg.f64 (*.f64 (neg.f64 b) eps))) |
(expm1.f64 (*.f64 b eps)) |
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(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b eps)))) |
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(-.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) #s(literal -1 binary64))) |
(-.f64 (cosh.f64 (*.f64 b eps)) (+.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 (*.f64 b eps)) (neg.f64 (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(-.f64 (expm1.f64 (*.f64 b eps)) #s(literal 0 binary64)) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
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(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 b eps))) |
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(+.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (*.f64 b eps)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 b eps)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 b eps))))) |
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(*.f64 (pow.f64 (exp.f64 (*.f64 b eps)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 b eps)) #s(literal 1/2 binary64))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) (cosh.f64 (*.f64 b eps)))) (cosh.f64 (*.f64 b eps))) |
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 b #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 b #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 b eps))) (sqrt.f64 (exp.f64 (*.f64 b eps)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))) (cosh.f64 (*.f64 b eps))) |
(*.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) (/.f64 eps #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 eps (+.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 eps) b) |
(pow.f64 (exp.f64 b) eps) |
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps))) (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) (*.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) (sinh.f64 (*.f64 (neg.f64 b) eps)))) (exp.f64 (*.f64 (neg.f64 b) eps))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)) (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) (*.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)) (fma.f64 (sinh.f64 (*.f64 (neg.f64 b) eps)) (sinh.f64 (*.f64 (neg.f64 b) eps)) (*.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 (neg.f64 b) eps)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) (*.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))) (exp.f64 (*.f64 (neg.f64 b) eps))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)) (-.f64 (*.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps))) (*.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 b) eps))) |
(neg.f64 (neg.f64 (exp.f64 (*.f64 b eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 b eps))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 (*.f64 (neg.f64 b) eps)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 b eps))) |
(sqrt.f64 (exp.f64 (*.f64 eps (+.f64 b b)))) |
(-.f64 (sinh.f64 (*.f64 b eps)) (neg.f64 (cosh.f64 (*.f64 b eps)))) |
(-.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 (neg.f64 b) eps))) |
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 b eps))) (sinh.f64 (*.f64 b eps)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 b eps)))) |
(fabs.f64 (exp.f64 (*.f64 b eps))) |
(exp.f64 (/.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 b eps (*.f64 b eps)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 eps (+.f64 b b)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) b)) |
(exp.f64 (neg.f64 (*.f64 (neg.f64 b) eps))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 b)) eps)) |
(exp.f64 (*.f64 b eps)) |
(+.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) |
(+.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (neg.f64 (*.f64 (neg.f64 b) eps)))) |
(+.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps))) |
(*.f64 b eps) |
(*.f64 eps b) |
Compiled 21 187 to 2 905 computations (86.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 603 | 8 | 611 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 604 | 8 | 612 |
| Status | Accuracy | Program |
|---|---|---|
| 29.7% | (/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))) | |
| ▶ | 10.7% | (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) |
| ▶ | 29.7% | (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
| 10.8% | (*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps))) | |
| ▶ | 64.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ▶ | 48.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
| 50.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) | |
| ▶ | 49.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
Compiled 412 to 286 computations (30.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1056 | 8252 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (+.f64 a b) (*.f64 a b)) |
(+.f64 a b) |
a |
b |
(*.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) |
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
(+.f64 b a) |
eps |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(expm1.f64 (*.f64 b eps)) |
(*.f64 b eps) |
(expm1.f64 (*.f64 a eps)) |
(*.f64 a eps) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) |
(/.f64 eps (expm1.f64 (*.f64 a eps))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a) |
(+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) |
(-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)) |
(/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) |
(*.f64 eps (exp.f64 (*.f64 b eps))) |
(exp.f64 (*.f64 b eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (+ a b) b) |
#s(approx (+ a b) (+.f64 a b)) |
#s(approx a a) |
#s(approx (* a b) (*.f64 a b)) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 #s(literal 1 binary64) (*.f64 a eps))) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a)) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a)) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (/.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))))))))))))) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) a)) |
#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 b eps))) |
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64))) |
#s(approx (- (exp (* (+ b a) eps)) 1) (-.f64 (+.f64 (exp.f64 (*.f64 b eps)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))))) (*.f64 eps (exp.f64 (*.f64 b eps)))))) #s(literal 1 binary64))) |
#s(approx (* (+ b a) eps) (*.f64 b eps)) |
#s(approx (* (+ b a) eps) (fma.f64 a eps (*.f64 b eps))) |
#s(approx (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (*.f64 a (*.f64 eps (expm1.f64 (*.f64 b eps))))) |
#s(approx (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (expm1.f64 (*.f64 b eps)))) (*.f64 eps (expm1.f64 (*.f64 b eps)))))) |
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#s(approx (- (exp (* a eps)) 1) (*.f64 a eps)) |
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#s(approx (/ eps (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a eps))) a)) |
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#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps))) |
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#s(approx (/ eps (- (exp (* a eps)) 1)) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
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#s(approx (/ (+ a b) (* a b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
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#s(approx (/ eps (- (exp (* a eps)) 1)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ eps (- (exp (* a eps)) 1)) (fma.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) a (*.f64 #s(literal 1/6 binary64) a)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ eps (- (exp (* a eps)) 1)) (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 a (fma.f64 #s(literal -1/4 binary64) a (*.f64 #s(literal 1/6 binary64) a))) (fma.f64 #s(literal -1/12 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/4 binary64) a (*.f64 #s(literal 1/6 binary64) a)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (/.f64 a b)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))))))) (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))) (/.f64 a b)))) |
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#s(approx (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))) (fma.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (/.f64 a b))) |
#s(approx (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))))))) (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))) (/.f64 a b))) |
#s(approx (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (*.f64 eps (fma.f64 a (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))))))))))))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))))) (/.f64 a b))) |
#s(approx (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (fma.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (fma.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (* eps (exp (* b eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 b eps)))) |
#s(approx (* eps (exp (* b eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps))))))) |
#s(approx (* eps (exp (* b eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)))))))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) eps)))))) |
#s(approx (exp (* b eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 b (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))))))))) |
#s(approx (* 1/2 eps) (*.f64 #s(literal 1/2 binary64) eps)) |
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#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 a (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 eps (fma.f64 a (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))))))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))))) (/.f64 #s(literal 1 binary64) (*.f64 a eps)))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))))))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))))) (/.f64 #s(literal 1 binary64) eps))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 10.0ms | b | inf |
| 6.0ms | eps | -inf |
| 5.0ms | a | 0 |
| 5.0ms | eps | inf |
| 5.0ms | a | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 317 |
| 0 | 73 | 311 |
| 1 | 337 | 297 |
| 2 | 1253 | 297 |
| 0 | 4007 | 294 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (+.f64 a b) (*.f64 a b)) |
(+.f64 a b) |
a |
b |
(*.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) |
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
(+.f64 b a) |
eps |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(expm1.f64 (*.f64 b eps)) |
(*.f64 b eps) |
(expm1.f64 (*.f64 a eps)) |
(*.f64 a eps) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) |
(/.f64 eps (expm1.f64 (*.f64 a eps))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a) |
(+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) |
(-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)) |
(/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) |
(*.f64 eps (exp.f64 (*.f64 b eps))) |
(exp.f64 (*.f64 b eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a))) |
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (*.f64 b a)) (neg.f64 a)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (*.f64 b a)) (neg.f64 b)) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 b b) a (*.f64 (/.f64 a b) a)) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 b b) b (*.f64 (/.f64 a a) a)) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 b b) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) a)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 (/.f64 a b) b)) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 (/.f64 a a) b)) (*.f64 b b)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (/.f64 a b) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (/.f64 a a) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b a) (*.f64 a (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (fma.f64 b a (*.f64 (/.f64 a b) (*.f64 b a))) (*.f64 (*.f64 b a) a)) |
(/.f64 (fma.f64 b b (*.f64 (/.f64 a a) (*.f64 b a))) (*.f64 (*.f64 b a) b)) |
(/.f64 (fma.f64 b (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (*.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 b (*.f64 b a) (*.f64 a (*.f64 b a))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (fma.f64 (/.f64 a b) a (*.f64 (/.f64 b b) a)) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 a b) b (*.f64 (/.f64 b a) a)) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 a a) a (*.f64 (/.f64 b b) b)) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 a a) b (*.f64 (/.f64 b a) b)) (*.f64 b b)) |
(/.f64 (fma.f64 (/.f64 a a) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) b)) (*.f64 b (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 (/.f64 b b) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (/.f64 b a) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 a) (*.f64 b a) (*.f64 b (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (fma.f64 a a (*.f64 (/.f64 b b) (*.f64 b a))) (*.f64 (*.f64 b a) a)) |
(/.f64 (fma.f64 b a (*.f64 (/.f64 b a) (*.f64 b a))) (*.f64 (*.f64 b a) b)) |
(/.f64 (fma.f64 a (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) (*.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a)))) (-.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 (neg.f64 a) (*.f64 b a)) (/.f64 (neg.f64 a) (*.f64 b a)))) (+.f64 (/.f64 b (*.f64 b a)) (/.f64 (neg.f64 a) (*.f64 b a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (neg.f64 (/.f64 b (*.f64 b a))) (neg.f64 (/.f64 b (*.f64 b a))))) (+.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a))))) |
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 (neg.f64 b) (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))) (+.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a)) (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 a) (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a)) (fma.f64 (/.f64 (neg.f64 a) (*.f64 b a)) (/.f64 (neg.f64 a) (*.f64 b a)) (*.f64 (/.f64 b (*.f64 b a)) (/.f64 (neg.f64 a) (*.f64 b a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 b (*.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a)) (fma.f64 (neg.f64 (/.f64 b (*.f64 b a))) (neg.f64 (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b) (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a)))))) |
(/.f64 (fma.f64 (/.f64 b b) a (*.f64 a (/.f64 a b))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 b b) b (*.f64 a (/.f64 a a))) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 b b) (*.f64 (neg.f64 a) b) (*.f64 a (neg.f64 a))) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (/.f64 b b) (*.f64 b a) (*.f64 a a)) (*.f64 a (*.f64 b a))) |
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 b (/.f64 a b))) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 b (/.f64 a a))) (*.f64 b b)) |
(/.f64 (fma.f64 (/.f64 b a) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b)) (*.f64 b (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (/.f64 b a) (*.f64 b a) (*.f64 b a)) (*.f64 b (*.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 (neg.f64 a) b) (/.f64 a b))) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 (neg.f64 a) b) (/.f64 a a))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 a) b) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b a) (*.f64 (*.f64 (neg.f64 a) b) a)) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (fma.f64 b a (*.f64 (*.f64 b a) (/.f64 a b))) (*.f64 (*.f64 b a) a)) |
(/.f64 (fma.f64 b b (*.f64 (*.f64 b a) (/.f64 a a))) (*.f64 (*.f64 b a) b)) |
(/.f64 (fma.f64 b (*.f64 (neg.f64 a) b) (*.f64 (*.f64 b a) (neg.f64 a))) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 b (*.f64 b a) (*.f64 (*.f64 b a) a)) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (fma.f64 (/.f64 a b) a (*.f64 a (/.f64 b b))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 a b) b (*.f64 a (/.f64 b a))) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 a b) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (/.f64 a b) (*.f64 b a) (*.f64 b a)) (*.f64 a (*.f64 b a))) |
(/.f64 (fma.f64 (/.f64 a a) a (*.f64 b (/.f64 b b))) (*.f64 b a)) |
(/.f64 (fma.f64 (/.f64 a a) b (*.f64 b (/.f64 b a))) (*.f64 b b)) |
(/.f64 (fma.f64 (/.f64 a a) (*.f64 (neg.f64 a) b) (*.f64 b (neg.f64 b))) (*.f64 b (*.f64 (neg.f64 a) b))) |
(/.f64 (fma.f64 (/.f64 a a) (*.f64 b a) (*.f64 b b)) (*.f64 b (*.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 a) a (*.f64 (*.f64 (neg.f64 a) b) (/.f64 b b))) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 (neg.f64 a) b) (/.f64 b a))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) b) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (fma.f64 (neg.f64 a) (*.f64 b a) (*.f64 (*.f64 (neg.f64 a) b) b)) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (fma.f64 a a (*.f64 (*.f64 b a) (/.f64 b b))) (*.f64 (*.f64 b a) a)) |
(/.f64 (fma.f64 b a (*.f64 (*.f64 b a) (/.f64 b a))) (*.f64 (*.f64 b a) b)) |
(/.f64 (fma.f64 a (*.f64 (neg.f64 a) b) (*.f64 (*.f64 b a) (neg.f64 b))) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 b b) (*.f64 b a)) (*.f64 a (neg.f64 a))) (*.f64 a (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 a) b)) (*.f64 b (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b a)) (*.f64 (*.f64 b a) (neg.f64 a))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 a b) (*.f64 b a)) (*.f64 (neg.f64 a) b)) (*.f64 a (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 a a) (*.f64 b a)) (*.f64 b (neg.f64 b))) (*.f64 b (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 a (*.f64 b a)) (*.f64 (*.f64 b a) (neg.f64 b))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 (neg.f64 a) b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (/.f64 (+.f64 b a) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b a)) (*.f64 b a) b)) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 b a) (*.f64 b (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 b a)))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 b a) (*.f64 (*.f64 b a) b))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b a) a))) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 (+.f64 b a) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(/.f64 (fma.f64 (/.f64 a (*.f64 b a)) (*.f64 b a) b) (*.f64 b a)) |
(/.f64 (fma.f64 a (*.f64 b a) (*.f64 b (*.f64 b a))) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a))) (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a)))) (-.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 a (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 a (*.f64 b a)) (/.f64 a (*.f64 b a)) (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))))) |
(/.f64 (fma.f64 a (*.f64 b a) (*.f64 (*.f64 b a) b)) (*.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 (-.f64 (neg.f64 a) b) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b)))) |
(/.f64 (-.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b)) |
(/.f64 (+.f64 b a) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 a) b) (*.f64 b a))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (neg.f64 (neg.f64 a)) (*.f64 b a))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 a (*.f64 b a))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (neg.f64 (neg.f64 b)) (*.f64 b a))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 b (*.f64 b a))) |
(-.f64 (/.f64 b (neg.f64 (*.f64 (neg.f64 a) b))) (/.f64 (neg.f64 a) (neg.f64 (*.f64 (neg.f64 a) b)))) |
(-.f64 (/.f64 a (neg.f64 (*.f64 (neg.f64 a) b))) (/.f64 (neg.f64 b) (neg.f64 (*.f64 (neg.f64 a) b)))) |
(-.f64 (/.f64 b (*.f64 b a)) (/.f64 (/.f64 (neg.f64 a) a) b)) |
(-.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 (neg.f64 a) b))) |
(-.f64 (/.f64 b (*.f64 b a)) (/.f64 (neg.f64 a) (*.f64 b a))) |
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (/.f64 (neg.f64 b) a) b)) |
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 (neg.f64 a) b))) |
(-.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (*.f64 b a)))) |
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 (neg.f64 b) (*.f64 b a))) |
(+.f64 (/.f64 (*.f64 (/.f64 a (*.f64 b a)) (*.f64 b a)) (*.f64 b a)) (/.f64 b (*.f64 b a))) |
(+.f64 (/.f64 (*.f64 a (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b a))) (/.f64 (*.f64 b (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b a)))) |
(+.f64 (/.f64 (*.f64 a (*.f64 b a)) (*.f64 (*.f64 b a) (*.f64 b a))) (/.f64 (*.f64 (*.f64 b a) b) (*.f64 (*.f64 b a) (*.f64 b a)))) |
(+.f64 (/.f64 b (neg.f64 (*.f64 (neg.f64 a) b))) (/.f64 a (neg.f64 (*.f64 (neg.f64 a) b)))) |
(+.f64 (/.f64 b (neg.f64 (*.f64 (neg.f64 a) b))) (/.f64 a (*.f64 b a))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
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(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) (*.f64 b (neg.f64 (neg.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) (*.f64 a (neg.f64 (neg.f64 b)))))) |
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(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) b)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))) |
(neg.f64 (-.f64 (neg.f64 a) b)) |
(-.f64 b (neg.f64 a)) |
(-.f64 a (neg.f64 b)) |
(+.f64 b (neg.f64 (neg.f64 a))) |
(+.f64 b a) |
(+.f64 a (neg.f64 (neg.f64 b))) |
(+.f64 a b) |
a |
b |
(*.f64 b a) |
(*.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) |
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(/.f64 #s(literal 1 binary64) a) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 0 binary64) a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) |
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#s(literal 1 binary64) |
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(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))) eps)) |
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(neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)))) |
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eps |
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(neg.f64 (neg.f64 (expm1.f64 (*.f64 b eps)))) |
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(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
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(*.f64 b eps) |
(*.f64 eps b) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)))) (exp.f64 (*.f64 a eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a eps)))) (exp.f64 (*.f64 a eps))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)))) |
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a eps)) (cosh.f64 (*.f64 a eps)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 a eps)) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 a eps) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))) |
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(neg.f64 (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(expm1.f64 (*.f64 a eps)) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps))) |
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(+.f64 (cosh.f64 (*.f64 a eps)) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64))) |
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(*.f64 a eps) |
(*.f64 eps a) |
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(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps)))) |
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(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))) eps)) |
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(*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps))) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)) (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)) (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))) (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 #s(literal -1/2 binary64) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 #s(literal 1/2 binary64) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 #s(literal 1/2 binary64) eps))))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (exp.f64 (*.f64 b eps)) eps) (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 (neg.f64 eps) #s(literal 1/2 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) |
(fma.f64 (*.f64 (exp.f64 (*.f64 b eps)) eps) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 (exp.f64 (*.f64 b eps)) (*.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 (exp.f64 (*.f64 b eps)) (/.f64 eps (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 eps (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/2 binary64) eps)) |
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) |
(-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) |
(-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 #s(literal 1/2 binary64) eps)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps)) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) (*.f64 #s(literal -1/2 binary64) eps)) |
(*.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (exp.f64 (*.f64 b eps)) eps)) |
(*.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (*.f64 (exp.f64 (*.f64 b eps)) eps) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (exp.f64 (*.f64 b eps)) (*.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))) |
(*.f64 (exp.f64 (*.f64 b eps)) (/.f64 eps (expm1.f64 (*.f64 b eps)))) |
(*.f64 eps (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (exp.f64 (*.f64 b eps)) eps) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps))) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 b eps)) eps) #s(literal 1 binary64)) (expm1.f64 (*.f64 b eps))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps)) (expm1.f64 (*.f64 b eps))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 b eps)) eps) (expm1.f64 (*.f64 b eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 b eps))) (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b eps)) (*.f64 (exp.f64 (*.f64 b eps)) eps))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 b eps))) eps) (expm1.f64 (*.f64 b eps)))) |
(+.f64 (/.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (/.f64 (*.f64 eps (sinh.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) |
(+.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) (expm1.f64 (*.f64 b eps))) (/.f64 (*.f64 (sinh.f64 (*.f64 b eps)) eps) (expm1.f64 (*.f64 b eps)))) |
(*.f64 (exp.f64 (*.f64 b eps)) eps) |
(*.f64 eps (exp.f64 (*.f64 b eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) (*.f64 eps (cosh.f64 (*.f64 b eps)))) (*.f64 (*.f64 eps (sinh.f64 (*.f64 b eps))) (*.f64 eps (sinh.f64 (*.f64 b eps))))) (-.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) (*.f64 eps (sinh.f64 (*.f64 b eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) (*.f64 (cosh.f64 (*.f64 b eps)) eps)) (*.f64 (*.f64 (sinh.f64 (*.f64 b eps)) eps) (*.f64 (sinh.f64 (*.f64 b eps)) eps))) (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) (*.f64 (sinh.f64 (*.f64 b eps)) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (sinh.f64 (*.f64 b eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) (*.f64 eps (cosh.f64 (*.f64 b eps))) (-.f64 (*.f64 (*.f64 eps (sinh.f64 (*.f64 b eps))) (*.f64 eps (sinh.f64 (*.f64 b eps)))) (*.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) (*.f64 eps (sinh.f64 (*.f64 b eps))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 b eps)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) (*.f64 (cosh.f64 (*.f64 b eps)) eps) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 b eps)) eps) (*.f64 (sinh.f64 (*.f64 b eps)) eps)) (*.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) (*.f64 (sinh.f64 (*.f64 b eps)) eps))))) |
(fma.f64 (cosh.f64 (*.f64 b eps)) eps (*.f64 (sinh.f64 (*.f64 b eps)) eps)) |
(fma.f64 eps (cosh.f64 (*.f64 b eps)) (*.f64 eps (sinh.f64 (*.f64 b eps)))) |
(+.f64 (*.f64 eps (cosh.f64 (*.f64 b eps))) (*.f64 eps (sinh.f64 (*.f64 b eps)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 b eps)) eps) (*.f64 (sinh.f64 (*.f64 b eps)) eps)) |
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 b #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 b #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 b eps))) (sqrt.f64 (exp.f64 (*.f64 b eps)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))) (cosh.f64 (*.f64 b eps))) |
(*.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 eps) b) |
(pow.f64 (exp.f64 b) eps) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps))) (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) (*.f64 (sinh.f64 (neg.f64 (*.f64 b eps))) (sinh.f64 (neg.f64 (*.f64 b eps))))) (exp.f64 (neg.f64 (*.f64 b eps)))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)) (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) (*.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (*.f64 b eps))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)) (fma.f64 (sinh.f64 (neg.f64 (*.f64 b eps))) (sinh.f64 (neg.f64 (*.f64 b eps))) (*.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (neg.f64 (*.f64 b eps))))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) (*.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))) (exp.f64 (neg.f64 (*.f64 b eps)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)) (-.f64 (*.f64 (sinh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps))) (*.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))))) |
(sqrt.f64 (exp.f64 (*.f64 (*.f64 b eps) #s(literal 2 binary64)))) |
(-.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (neg.f64 (*.f64 b eps)))) |
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 (*.f64 b eps))) (cosh.f64 (*.f64 b eps)))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 b eps))))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 b eps)))) |
(fabs.f64 (exp.f64 (*.f64 b eps))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) b)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 b)) eps)) |
(exp.f64 (*.f64 b eps)) |
(+.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))) |
(+.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Compiled 46 343 to 4 741 computations (89.8% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 999 | 5 | 1 004 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 004 | 8 | 1 012 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
| ✓ | 64.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ▶ | 31.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| ▶ | 50.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) a)) |
| ▶ | 50.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 49.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| 99.7% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 528 to 327 computations (38.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 3049 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 (+.f64 b a) a) |
(+.f64 b a) |
b |
a |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
(/.f64 #s(approx (+ a b) b) (*.f64 a b)) |
#s(approx (+ a b) b) |
(*.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
(/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) |
(/.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) a)) |
(/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) a) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (/ (+ b a) a) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (/ (+ b a) a) (/.f64 b a)) |
#s(approx (/ (+ b a) a) (/.f64 (+.f64 a b) a)) |
#s(approx (+ b a) b) |
#s(approx (+ b a) (+.f64 a b)) |
#s(approx a a) |
#s(approx (* a b) (*.f64 a b)) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (/ a b) (/.f64 a b)) |
#s(approx (+ 1 (/ a b)) (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (/ (/ (+ b a) a) b) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (/ (+ b a) a) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ b a) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) |
#s(approx (+ 1 (/ a b)) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (/ (+ b a) a) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) a)))) b)) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) a)))) b)) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 a b) b)) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 a (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))))))))) b)) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 (+.f64 a (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 a (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))))))))) (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))))))))) b)) |
#s(approx (/ (+ b a) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))))))))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (/.f64 a b)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))))))) (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))) (/.f64 a b)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))) (*.f64 eps (fma.f64 a (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b))))))))))))))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/4 binary64) b)))))))))))) (/.f64 a b)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a eps)) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))) #s(literal 1/2 binary64)))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 a (*.f64 eps (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 eps (fma.f64 a (-.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))))))) |
#s(approx (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))))) (/.f64 #s(literal 1 binary64) (*.f64 a eps)))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))))))))) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps)))))) (/.f64 #s(literal 1 binary64) eps))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 3.0ms | b | -inf |
| 3.0ms | a | -inf |
| 2.0ms | b | inf |
| 2.0ms | a | inf |
| 2.0ms | a | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 354 |
| 0 | 52 | 354 |
| 1 | 294 | 342 |
| 2 | 1151 | 342 |
| 0 | 4152 | 294 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 (+.f64 b a) a) |
(+.f64 b a) |
b |
a |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
(/.f64 #s(approx (+ a b) b) (*.f64 a b)) |
#s(approx (+ a b) b) |
(*.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
(/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) |
(/.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) a)) |
(/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) a) |
#s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) b))) (/.f64 (/.f64 b a) b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b a)) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 a) (*.f64 b a)) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 b) (*.f64 b a)) (/.f64 a (*.f64 b a)))) (/.f64 a (*.f64 b a))) |
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (+.f64 b a) (neg.f64 b)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (/.f64 (-.f64 (neg.f64 b) a) b) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (neg.f64 b) a) b) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (-.f64 (/.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (neg.f64 b) a) a) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
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(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(fma.f64 (/.f64 b b) #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) b)) |
(fma.f64 (/.f64 b b) #s(literal 1 binary64) (/.f64 a b)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) (/.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) (/.f64 b b)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) |
(fma.f64 (/.f64 a b) #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (/.f64 a b) #s(literal 1 binary64) (/.f64 b b)) |
(fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 a)) b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 1 binary64)) (/.f64 a b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) a (/.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) a (/.f64 b b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 b b) (/.f64 (neg.f64 (neg.f64 a)) b)) |
(fma.f64 #s(literal 1 binary64) (/.f64 b b) (/.f64 a b)) |
(fma.f64 a (/.f64 #s(literal 1 binary64) b) (/.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 a (/.f64 #s(literal 1 binary64) b) (/.f64 b b)) |
(fma.f64 a (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(-.f64 (/.f64 b b) (/.f64 (neg.f64 a) b)) |
(-.f64 (/.f64 a b) (/.f64 b (neg.f64 b))) |
(-.f64 (/.f64 a b) (/.f64 (neg.f64 b) b)) |
(-.f64 (/.f64 a b) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 b)) (/.f64 a b)) |
(+.f64 (/.f64 b b) (/.f64 (neg.f64 (neg.f64 a)) b)) |
(+.f64 (/.f64 b b) (/.f64 a b)) |
(+.f64 (/.f64 a b) (/.f64 (neg.f64 (neg.f64 b)) b)) |
(+.f64 (/.f64 a b) (/.f64 b b)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
Compiled 29 406 to 2 554 computations (91.3% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 595 | 4 | 599 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 598 | 9 | 607 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
| ✓ | 64.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ✓ | 31.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| ✓ | 50.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
| ✓ | 50.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 49.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ▶ | 99.7% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) |
Compiled 306 to 200 computations (34.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 1637 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
(-.f64 (/.f64 b a) #s(literal -1 binary64)) |
(/.f64 b a) |
a |
#s(literal -1 binary64) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a) |
(-.f64 (/.f64 a b) #s(literal -1 binary64)) |
(/.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
(/.f64 (/.f64 #s(approx (+ b a) b) a) b) |
(/.f64 #s(approx (+ b a) b) a) |
#s(approx (+ b a) b) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (* (/ 1 b) (- (/ b a) -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (- (/ b a) -1) (/.f64 b a)) |
#s(approx (- (/ b a) -1) (/.f64 (+.f64 a b) a)) |
#s(approx a a) |
#s(approx (- (/ a b) -1) #s(literal 1 binary64)) |
#s(approx (- (/ a b) -1) (+.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(approx (/ a b) (/.f64 a b)) |
#s(approx (+ b a) b) |
#s(approx (+ b a) (+.f64 a b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (* (/ 1 b) (- (/ b a) -1)) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (* (/ 1 b) (- (/ b a) -1)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (- (/ b a) -1) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
#s(approx (- (/ a b) -1) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (fma.f64 b (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 b (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps))))))))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 eps (exp.f64 (*.f64 a eps))) (expm1.f64 (*.f64 a eps)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)) |
#s(approx (* (/ 1 b) (- (/ b a) -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (- (/ a b) -1) (/.f64 (+.f64 a b) b)) |
#s(approx (- (/ b a) -1) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (-.f64 a (*.f64 #s(literal -1 binary64) b))))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (+ b a) (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b))))) (*.f64 a b))))))) (+.f64 (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 a b)))))) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 3.0ms | b | -inf |
| 2.0ms | a | -inf |
| 2.0ms | b | inf |
| 2.0ms | a | inf |
| 1.0ms | b | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 199 |
| 0 | 44 | 195 |
| 1 | 244 | 195 |
| 2 | 939 | 195 |
| 0 | 4048 | 171 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
(-.f64 (/.f64 b a) #s(literal -1 binary64)) |
(/.f64 b a) |
a |
#s(literal -1 binary64) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a) |
(-.f64 (/.f64 a b) #s(literal -1 binary64)) |
(/.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
(/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
(/.f64 (/.f64 #s(approx (+ b a) b) a) b) |
(/.f64 #s(approx (+ b a) b) a) |
#s(approx (+ b a) b) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)))) (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a))) |
(*.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (*.f64 b a)))) (/.f64 b (*.f64 b a))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 b a)) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 b a) b) (*.f64 b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (neg.f64 b) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (neg.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (neg.f64 b))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (/.f64 b (*.f64 b a)) (neg.f64 b) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (fma.f64 (/.f64 b (*.f64 b a)) (neg.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 b) (*.f64 #s(literal -1 binary64) (neg.f64 b))) (*.f64 b b)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 (neg.f64 b)) (*.f64 #s(literal 1 binary64) (neg.f64 b))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) b (*.f64 #s(literal 1 binary64) (neg.f64 b))) (*.f64 (neg.f64 b) b)) |
(/.f64 (fma.f64 b b (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b))) |
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) (*.f64 #s(literal -1 binary64) b)) (*.f64 b (neg.f64 b))) |
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 (neg.f64 b)) (*.f64 #s(literal 1 binary64) b)) (*.f64 b (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal 1 binary64) b)) (*.f64 b b)) |
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 #s(literal -1 binary64) (*.f64 b a))) (*.f64 (*.f64 b a) (neg.f64 b))) |
(/.f64 (fma.f64 b (neg.f64 (neg.f64 b)) (*.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 (*.f64 b a) (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 b b (*.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 (*.f64 b a) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (-.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 b a)) (/.f64 b (*.f64 b a)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)) (*.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 b) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 b b)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) b (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) b)) |
(/.f64 (fma.f64 b b (*.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b))) |
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 b))) |
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 (neg.f64 b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b)) |
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b a) (neg.f64 b))) |
(/.f64 (fma.f64 b (neg.f64 (neg.f64 b)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) (neg.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 b b (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) b) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) b)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (neg.f64 b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) b)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b a) #s(literal -1 binary64))) (*.f64 (*.f64 b a) b)) |
(/.f64 (-.f64 (*.f64 b (neg.f64 b)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) (*.f64 (*.f64 b a) (neg.f64 b))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) b) #s(literal -1 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) a) b) #s(literal -1 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) a) b) #s(literal 1 binary64)) (*.f64 a (neg.f64 b))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 b))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 b))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 b (*.f64 b a)) b #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 b a) b) (*.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (*.f64 #s(literal 2 binary64) (neg.f64 b))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) b)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b (*.f64 b a)) b #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b a) b) (*.f64 b #s(literal -1 binary64)))) (neg.f64 (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (neg.f64 b)) |
(/.f64 (fma.f64 (/.f64 b (*.f64 b a)) b #s(literal 1 binary64)) b) |
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(/.f64 (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal -1 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal 1 binary64)) (*.f64 a (neg.f64 b))) |
(/.f64 (*.f64 #s(approx (+ b a) b) #s(literal -1 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 #s(approx (+ b a) b) #s(literal -1 binary64)) (*.f64 a (neg.f64 b))) |
(/.f64 (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)) (*.f64 a (neg.f64 (neg.f64 b)))) |
(/.f64 (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b))) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b))) (neg.f64 (neg.f64 (*.f64 b a)))) |
(/.f64 (neg.f64 #s(approx (+ b a) b)) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 #s(approx (+ b a) b)) (neg.f64 (*.f64 b a))) |
(/.f64 (/.f64 #s(approx (+ b a) b) (neg.f64 a)) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 (/.f64 #s(approx (+ b a) b) (neg.f64 a)) (neg.f64 b)) |
(/.f64 (/.f64 #s(approx (+ b a) b) a) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 #s(approx (+ b a) b) a) b) |
(/.f64 #s(approx (+ b a) b) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(approx (+ b a) b) a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (/.f64 #s(approx (+ b a) b) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (/.f64 (neg.f64 #s(approx (+ b a) b)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(approx (+ b a) b) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 #s(approx (+ b a) b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 b)) (*.f64 #s(approx (+ b a) b) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) b) (neg.f64 #s(approx (+ b a) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b a)) (neg.f64 #s(approx (+ b a) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 b)) (/.f64 #s(approx (+ b a) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (/.f64 #s(approx (+ b a) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(approx (+ b a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(approx (+ b a) b) a))) |
(neg.f64 (/.f64 (*.f64 (/.f64 #s(approx (+ b a) b) a) #s(literal -1 binary64)) b)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 #s(approx (+ b a) b)) b) a)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ b a) b)) (*.f64 b a))) |
(neg.f64 (neg.f64 (/.f64 #s(approx (+ b a) b) (*.f64 b a)))) |
(*.f64 (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ b a) b)) |
(*.f64 (neg.f64 #s(approx (+ b a) b)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(approx (+ b a) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b)))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b)))) (neg.f64 a)) |
(/.f64 (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b a) b))) a) |
(/.f64 (neg.f64 #s(approx (+ b a) b)) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (neg.f64 #s(approx (+ b a) b)) (neg.f64 a)) |
(/.f64 #s(approx (+ b a) b) (neg.f64 (neg.f64 a))) |
(/.f64 #s(approx (+ b a) b) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(approx (+ b a) b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 #s(approx (+ b a) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (neg.f64 #s(approx (+ b a) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ b a) b))) |
(neg.f64 (/.f64 #s(approx (+ b a) b) (neg.f64 a))) |
#s(approx (+ b a) b) |
Compiled 23 564 to 2 140 computations (90.9% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 586 | 0 | 586 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 586 | 9 | 595 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
| ✓ | 64.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ✓ | 31.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
| ✓ | 50.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
| ✓ | 50.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 49.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | 99.7% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) |
Compiled 306 to 200 computations (34.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ a b) b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 #s(approx (+ b a) b) a) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 a b))) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (*.f64 (/.f64 (+.f64 b a) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) eps) |
(*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b)) |
16 calls:
| 5.0ms | eps |
| 5.0ms | a |
| 5.0ms | b |
| 3.0ms | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 49.3% | 1 | eps |
| 49.3% | 1 | b |
| 49.3% | 1 | a |
| 64.6% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 84.8% | 2 | a |
| 85.7% | 5 | b |
| 77.6% | 2 | eps |
| 99.8% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 99.8% | 1 | a |
| 99.8% | 1 | b |
| 99.8% | 1 | eps |
| 99.8% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 99.8% | 1 | a |
| 99.8% | 1 | b |
| 99.8% | 1 | eps |
Compiled 676 to 205 computations (69.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -1.4528715883480277e-198 | -6.902353105639373e-200 |
| 7.0ms | 112× | 0 | valid |
Compiled 419 to 313 computations (25.3% saved)
ival-expm1: 2.0ms (42.6% of total)ival-mult!: 2.0ms (42.6% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | done |
Compiled 152 to 34 computations (77.6% saved)
(sort a b)
Compiled 487 to 236 computations (51.5% saved)
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