
Time bar (total: 15.4s)
| 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)
| 8.1s | 64 113× | 0 | invalid |
| 1.3s | 8 256× | 0 | valid |
ival-mult!: 2.4s (40.9% of total)ival-expm1: 1.5s (25.6% of total)ival-div!: 600.0ms (10.1% of total)ival-fabs: 547.0ms (9.2% of total)ival-<=: 360.0ms (6% of total)ival-add!: 257.0ms (4.3% of total)ival-and: 133.0ms (2.2% of total)ival-fmin: 60.0ms (1% of total)ival-assert: 24.0ms (0.4% of total)adjust: 15.0ms (0.3% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 257 |
| 1 | 401 | 250 |
| 2 | 1477 | 248 |
| 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 38 to 34 computations (10.5% 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 | Expression | |
|---|---|---|---|---|
| 45.0ms | eps | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps)) |
| 6.0ms | eps | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps)) |
| 4.0ms | eps | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps)) |
| 4.0ms | b | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps)) |
| 3.0ms | a | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 99 |
| 0 | 30 | 99 |
| 1 | 141 | 99 |
| 2 | 521 | 99 |
| 3 | 2832 | 99 |
| 0 | 8127 | 81 |
| 1 | 22676 | 81 |
| 1× | saturated |
| 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 (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) (*.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) (neg.f64 eps))) (pow.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 b eps)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (neg.f64 eps))) (expm1.f64 (*.f64 a eps))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) eps))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))))) (expm1.f64 (*.f64 a eps))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b eps))) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) (neg.f64 (expm1.f64 (*.f64 a eps)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 eps) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))))) (expm1.f64 (*.f64 a eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 eps (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)))) |
(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 (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 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(fma.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 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(fma.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 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(fma.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 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(fma.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(fma.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (+.f64 b a) eps)) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
(fma.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 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) #s(literal 0 binary64)) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
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(+.f64 (/.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))) (/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 b a) eps))) eps) (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps))))) |
(+.f64 (/.f64 eps (*.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 b eps)))) (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))) |
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(+.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)) |
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(*.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)) |
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(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps #s(literal 1 binary64))) |
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(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
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(*.f64 eps (expm1.f64 (*.f64 (+.f64 b a) eps))) |
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(neg.f64 (*.f64 (neg.f64 eps) (expm1.f64 (*.f64 (+.f64 b a) 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))) |
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(fma.f64 eps (cosh.f64 (*.f64 (+.f64 b a) eps)) (*.f64 eps (-.f64 (sinh.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)))) |
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(/.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (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 (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 #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 (neg.f64 (*.f64 (neg.f64 b) eps))) |
(exp.f64 (*.f64 b eps)) |
(+.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 (*.f64 b eps))) |
(+.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 (*.f64 b eps))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 4 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 4 binary64))) |
(+.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 12 348 to 4 055 computations (67.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 937 | 6 | 943 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 938 | 6 | 944 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.6% | (/.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)))) |
| ▶ | 28.6% | (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a eps)))) |
| ▶ | 58.9% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| 44.3% | #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)) | |
| ▶ | 48.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ▶ | 51.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
Compiled 240 to 238 computations (0.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1073 | 7359 |
| 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) |
#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) |
(*.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))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
(+.f64 b a) |
eps |
(expm1.f64 (*.f64 b eps)) |
(*.f64 b eps) |
(/.f64 eps (expm1.f64 (*.f64 a eps))) |
(expm1.f64 (*.f64 a eps)) |
(*.f64 a 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 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) |
(neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(neg.f64 (expm1.f64 (*.f64 a 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 (/ (+ 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)) #s(literal 1 binary64)) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))))) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))) (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))))))) |
#s(approx (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))) (*.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 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))))))) |
#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 (/ eps (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a eps))) a)) |
#s(approx (/ eps (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#s(approx (/ eps (- (exp (* a eps)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) eps)))) a)) |
#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 (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))) (*.f64 a (expm1.f64 (*.f64 b eps)))))) |
#s(approx (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 a (-.f64 (/.f64 (*.f64 eps (exp.f64 (*.f64 b eps))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b eps)))) (expm1.f64 (*.f64 b eps))))))) a)) |
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#s(approx (neg (- (exp (* (+ b a) eps)) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 eps (exp.f64 (*.f64 b eps)))))) (exp.f64 (*.f64 b eps)))) |
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#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 a eps))) |
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 eps #s(literal 2 binary64)))) eps))) |
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.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))))) eps))) |
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) 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 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (/ (+ a b) (* a b)) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (+ a b) (* a b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
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#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 eps (+.f64 a b)))) |
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#s(approx (- (exp (* a eps)) 1) (expm1.f64 (*.f64 a eps))) |
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#s(approx (+ a b) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))) |
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#s(approx (- (exp (* (+ b a) eps)) 1) (expm1.f64 (*.f64 eps (-.f64 b (*.f64 #s(literal -1 binary64) a))))) |
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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 (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/.f64 (+.f64 a b) b)) |
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#s(approx (- (exp (* (+ b a) eps)) 1) (*.f64 eps (+.f64 a b))) |
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#s(approx eps eps) |
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#s(approx (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a 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))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) b)))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (fma.f64 #s(literal -1 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 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (*.f64 a b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 #s(literal -1 binary64) (/.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)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 a b) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 a b)) b))) |
#s(approx (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))) |
#s(approx (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))) |
#s(approx (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 eps (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b) (*.f64 eps (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))))))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))) |
#s(approx (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b))) |
#s(approx (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))))) |
#s(approx (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))))) |
#s(approx (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b) (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 eps (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b) (*.f64 eps (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) b)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) b)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))))))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 b (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal -1/2 binary64) (+.f64 a b)))))) |
#s(approx (neg (- (exp (* (+ b a) eps)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 a b)))) |
#s(approx (neg (- (exp (* (+ b a) eps)) 1)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 (+.f64 a b) #s(literal 2 binary64)))) (+.f64 a b)))) |
#s(approx (neg (- (exp (* (+ b a) eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.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))))) (+.f64 a b)))) |
#s(approx (neg (- (exp (* (+ b a) eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (+.f64 a b)))) |
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) eps)) a))) |
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.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))))) a))) |
#s(approx (neg (- (exp (* a eps)) 1)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) a))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | b | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/ eps (- (exp (* a eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (- (exp (* b eps)) 1) (* b eps) (/ eps (- (exp (* a eps)) 1)) (- (exp (* a eps)) 1) (* a eps) (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* (+ b a) eps)) 1)) (neg (- (exp (* a eps)) 1))) |
| 9.0ms | eps | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/ eps (- (exp (* a eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (- (exp (* b eps)) 1) (* b eps) (/ eps (- (exp (* a eps)) 1)) (- (exp (* a eps)) 1) (* a eps) (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* (+ b a) eps)) 1)) (neg (- (exp (* a eps)) 1))) |
| 6.0ms | eps | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/ eps (- (exp (* a eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (- (exp (* b eps)) 1) (* b eps) (/ eps (- (exp (* a eps)) 1)) (- (exp (* a eps)) 1) (* a eps) (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* (+ b a) eps)) 1)) (neg (- (exp (* a eps)) 1))) |
| 6.0ms | a | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/ eps (- (exp (* a eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (- (exp (* b eps)) 1) (* b eps) (/ eps (- (exp (* a eps)) 1)) (- (exp (* a eps)) 1) (* a eps) (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* (+ b a) eps)) 1)) (neg (- (exp (* a eps)) 1))) |
| 6.0ms | a | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ a b) (* a b)) (+ a b) a b (* a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (* (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (/ eps (- (exp (* a eps)) 1))) (/ (- (exp (* (+ b a) eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (+ b a) eps (- (exp (* b eps)) 1) (* b eps) (/ eps (- (exp (* a eps)) 1)) (- (exp (* a eps)) 1) (* a eps) (/ (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (neg (- (exp (* a eps)) 1))) (* eps (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1))) (/ (neg (- (exp (* (+ b a) eps)) 1)) (- (exp (* b eps)) 1)) (neg (- (exp (* (+ b a) eps)) 1)) (neg (- (exp (* a eps)) 1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 220 |
| 0 | 63 | 212 |
| 1 | 282 | 212 |
| 2 | 959 | 212 |
| 3 | 5274 | 212 |
| 0 | 8082 | 212 |
| 1 | 19008 | 212 |
| 1× | saturated |
| 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) |
#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) |
(*.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))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
(+.f64 b a) |
eps |
(expm1.f64 (*.f64 b eps)) |
(*.f64 b eps) |
(/.f64 eps (expm1.f64 (*.f64 a eps))) |
(expm1.f64 (*.f64 a eps)) |
(*.f64 a 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 eps (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) |
(neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(neg.f64 (expm1.f64 (*.f64 a eps))) |
| 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 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 (+.f64 b a) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (-.f64 (neg.f64 a) b)) |
(*.f64 (fma.f64 #s(literal 1 binary64) a b) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b a) a) 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) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 a)) (*.f64 b a)) |
(/.f64 (-.f64 (*.f64 b #s(literal -1 binary64)) a) (*.f64 (neg.f64 a) b)) |
(/.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) a) |
(/.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (-.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (-.f64 (*.f64 a #s(literal -1 binary64)) b) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64))) b) |
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal 1 binary64) b))) a) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 b a))) (*.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1 binary64) a b) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) b) (neg.f64 a))) (*.f64 b a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a) a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) a #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (neg.f64 a) b) (neg.f64 b))) (*.f64 b a)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)) (neg.f64 a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 a b) a))) (neg.f64 (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 #s(literal 1 binary64) a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) a))) (neg.f64 (*.f64 a (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b a) a (*.f64 (/.f64 a b) b))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal 1 binary64) b))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) b (*.f64 (/.f64 a b) (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 b a) (*.f64 a (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))) |
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (/.f64 a b) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (fma.f64 b b (*.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) a (*.f64 #s(literal 1 binary64) a))) (neg.f64 (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) b (*.f64 (/.f64 b a) a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1 binary64) b))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 b a) b))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) b))) (neg.f64 (*.f64 b (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) b (*.f64 (/.f64 b a) (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 b a) (*.f64 b (*.f64 (neg.f64 a) b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))) |
(/.f64 (neg.f64 (fma.f64 a a (*.f64 #s(literal 1 binary64) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (/.f64 b a) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) (*.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 a (/.f64 a b)))) (neg.f64 (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b) (*.f64 a (neg.f64 a)))) (neg.f64 (*.f64 a (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b a) a (*.f64 b (/.f64 a b)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64)))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b a) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b))) (neg.f64 (*.f64 b (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b a) (*.f64 b a) (*.f64 b a))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 (neg.f64 a) b) (/.f64 a b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 a) b) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 b a) (*.f64 (*.f64 (neg.f64 a) b) a))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))) |
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (*.f64 b a) (/.f64 a b)))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (fma.f64 b b (*.f64 (*.f64 b a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 (neg.f64 a) b) (*.f64 (*.f64 b a) (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) b (*.f64 a (/.f64 b a)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b))) (neg.f64 (*.f64 a (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (*.f64 b a) (*.f64 b a))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 b #s(literal 1 binary64)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (*.f64 b (/.f64 b a)))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b) (*.f64 b (neg.f64 b)))) (neg.f64 (*.f64 b (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 (neg.f64 a) b) (/.f64 b a)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) b) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 b a) (*.f64 (*.f64 (neg.f64 a) b) b))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))) |
(/.f64 (neg.f64 (fma.f64 a a (*.f64 (*.f64 b a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (*.f64 b a) (/.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 (neg.f64 a) b) (*.f64 (*.f64 b a) (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 a (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 b a)) (*.f64 (neg.f64 a) b))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b a) b) (*.f64 (*.f64 b a) (neg.f64 a)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 a b) (*.f64 b a)) (*.f64 (neg.f64 a) b))) (neg.f64 (*.f64 (*.f64 b a) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 b (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 b a) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 (neg.f64 a) b) (*.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b a) a) (*.f64 (*.f64 b a) (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 a) b) #s(literal -1 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b a) b))) a) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) a b))) (*.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 b a) (+.f64 b a)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b a) a) b)))) |
(/.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal 1 binary64) b)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 b a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) a) |
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) a b) b) a) |
(/.f64 (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 b a)) |
(/.f64 (/.f64 (-.f64 (neg.f64 a) b) b) (neg.f64 a)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) b) (neg.f64 a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a) a) (*.f64 b a)) |
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#s(literal 1 binary64) |
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(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 0 binary64) b)) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b))) |
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(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) b)) |
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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 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a eps))) (/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (expm1.f64 (*.f64 b eps)))) |
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eps |
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(fma.f64 (expm1.f64 (*.f64 a eps)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal 0 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 a eps))) (cosh.f64 (*.f64 a eps))) |
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a eps))) (sinh.f64 (*.f64 a eps))) |
(-.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) |
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a eps))) (*.f64 #s(literal -1 binary64) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (cosh.f64 (*.f64 a eps)) #s(literal -1 binary64)) (*.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 a eps))) (neg.f64 (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a eps))) (sinh.f64 (*.f64 (neg.f64 a) eps))) |
(+.f64 (neg.f64 (exp.f64 (*.f64 a eps))) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (expm1.f64 (*.f64 a eps))) #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 a eps))))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 a eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 a eps)))) |
Compiled 15 970 to 4 729 computations (70.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 310 | 4 | 1 314 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 313 | 7 | 1 320 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.7% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b))) |
| ▶ | 48.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a)) |
| ▶ | 99.7% | #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)) |
| ✓ | 58.9% | #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 #s(literal 1 binary64) b)) |
| ✓ | 51.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ▶ | 100.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
Compiled 150 to 150 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 1631 |
| 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 #s(literal -1 binary64) a))) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
#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 a b) a)) |
(/.f64 (/.f64 a b) a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b))) |
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b)) |
(fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) |
(/.f64 b a) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b 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) (/ -1 a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (/ -1 a) (/.f64 #s(literal -1 binary64) 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 (/ (/ a b) a) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (+ (* (/ b a) b) (* b 1)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) |
#s(approx (+ (* (/ b a) b) (* b 1)) (/.f64 (fma.f64 a b (pow.f64 b #s(literal 2 binary64))) a)) |
#s(approx (/ b a) (/.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 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (- (/ 1 b) (/ -1 a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (- (/ a b) -1) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (+ (* (/ b a) b) (* b 1)) b) |
#s(approx (+ (* (/ b a) b) (* b 1)) (+.f64 b (/.f64 (pow.f64 b #s(literal 2 binary64)) 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 (/ (* 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) (/ -1 a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (- (/ a b) -1) (/.f64 (+.f64 a b) b)) |
#s(approx (+ (* (/ b a) b) (* b 1)) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (* b b) (pow.f64 b #s(literal 2 binary64))) |
#s(approx (+ (* (/ b a) b) (* b 1)) (*.f64 (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))) (/.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)) (* (- (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 | Expression | |
|---|---|---|---|---|
| 9.0ms | b | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (- (/ 1 b) (/ -1 a)) (/ 1 b) 1 b (/ -1 a) -1 a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ a b) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) (/ b a) (* b 1) (* b b)) |
| 5.0ms | a | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (- (/ 1 b) (/ -1 a)) (/ 1 b) 1 b (/ -1 a) -1 a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ a b) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) (/ b a) (* b 1) (* b b)) |
| 3.0ms | a | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (- (/ 1 b) (/ -1 a)) (/ 1 b) 1 b (/ -1 a) -1 a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ a b) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) (/ b a) (* b 1) (* b b)) |
| 2.0ms | a | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (- (/ 1 b) (/ -1 a)) (/ 1 b) 1 b (/ -1 a) -1 a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ a b) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) (/ b a) (* b 1) (* b b)) |
| 2.0ms | b | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (- (/ 1 b) (/ -1 a)) (/ 1 b) 1 b (/ -1 a) -1 a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (- (/ a b) -1) a) (- (/ a b) -1) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ a b) a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) (/ b a) (* b 1) (* b b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 197 |
| 0 | 47 | 181 |
| 1 | 283 | 181 |
| 2 | 1273 | 179 |
| 0 | 8409 | 155 |
| 1 | 17916 | 155 |
| 1× | saturated |
| 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 #s(literal -1 binary64) a))) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
#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 a b) a)) |
(/.f64 (/.f64 a b) a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b))) |
(/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b)) |
(fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) |
(/.f64 b a) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b 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 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 b a) #s(literal -1 binary64))) b) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (fma.f64 (/.f64 b a) b b) (neg.f64 (fabs.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 b)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 b b)) b) |
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (fabs.f64 b)) (copysign.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 b (neg.f64 (fabs.f64 b))) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (fabs.f64 b)))) |
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (fabs.f64 b))) (/.f64 b (neg.f64 (fabs.f64 b)))) |
(*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (copysign.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (fabs.f64 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 (-.f64 #s(literal -1 binary64) (/.f64 a b)) a) #s(literal -1 binary64)) |
(*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) b)) |
(*.f64 (*.f64 (*.f64 b b) (fma.f64 (/.f64 b a) b b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(*.f64 (copysign.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) (/.f64 b (*.f64 a (fabs.f64 b))))) |
(*.f64 (copysign.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 b (*.f64 a (fabs.f64 b))) (/.f64 #s(literal 1 binary64) (fabs.f64 b)))) |
(*.f64 (copysign.f64 #s(literal 1 binary64) b) (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (fabs.f64 b))) |
(*.f64 (fma.f64 (/.f64 a b) a a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(*.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 b)) a) a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) a))) |
(*.f64 (fma.f64 a a (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (neg.f64 a) a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 a b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (fma.f64 (/.f64 b a) b b)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) b) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (fma.f64 (/.f64 b a) b b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal -1 binary64) (/.f64 a b))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 b a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 b (/.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal -1 binary64)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (+.f64 b a))) a) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) #s(literal -1 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 (-.f64 (neg.f64 a) b) (/.f64 #s(literal -1 binary64) a)) b) |
(/.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) (fma.f64 (/.f64 b a) b b)) (fabs.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 b a) b b)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b a) b b)) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 b)) a) a) (neg.f64 a)) a) |
(/.f64 (/.f64 (fma.f64 (/.f64 a b) a a) (neg.f64 a)) (neg.f64 a)) |
(/.f64 (/.f64 (fma.f64 (/.f64 a b) a a) a) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 a (neg.f64 b)) a) a) a) (neg.f64 a)) |
(/.f64 (/.f64 (fma.f64 a a (*.f64 b a)) (*.f64 b a)) a) |
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 a) a) (*.f64 b a)) (*.f64 b a)) (neg.f64 a)) |
(/.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 b b) (fma.f64 (/.f64 b a) b b)) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) b) (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (fabs.f64 b) (*.f64 (copysign.f64 #s(literal 1 binary64) b) (/.f64 b a))) (fabs.f64 b)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (neg.f64 b) b) (/.f64 (*.f64 (neg.f64 b) b) a)) (*.f64 (neg.f64 b) b)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b b) (*.f64 (/.f64 b a) b)) (*.f64 b b)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 b a) b) (*.f64 b b)) (*.f64 (*.f64 b a) b)) |
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(fma.f64 (neg.f64 (fabs.f64 b)) (/.f64 (neg.f64 (fabs.f64 b)) a) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b) b) |
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) a) b) |
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a) b) |
(fma.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) a) b) |
(fma.f64 (*.f64 (/.f64 b a) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) b) |
(fma.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64) b) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a) b) |
(fma.f64 (fma.f64 (/.f64 b a) b b) #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (/.f64 b a) b b) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 (/.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b b)) b) |
(fma.f64 (/.f64 b a) b b) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) b) b) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b b)) b) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 b) b) a) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) b) b) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) b b) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) b b) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 b b)) b) |
(fma.f64 b (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 b (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 b (/.f64 b a) b) |
(-.f64 (*.f64 (/.f64 b a) b) (neg.f64 b)) |
(-.f64 b (/.f64 (/.f64 (*.f64 (neg.f64 b) b) a) #s(literal 1 binary64))) |
(-.f64 b (/.f64 (*.f64 (neg.f64 b) b) a)) |
(+.f64 (/.f64 (*.f64 b a) a) (*.f64 (/.f64 b a) b)) |
(+.f64 (*.f64 (/.f64 b a) b) b) |
(+.f64 (fma.f64 (/.f64 b a) b b) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (/.f64 b a) b b) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(+.f64 b (*.f64 (/.f64 b a) b)) |
(*.f64 (/.f64 (fabs.f64 b) b) (/.f64 (fabs.f64 b) a)) |
(*.f64 (/.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (fabs.f64 b) (/.f64 (/.f64 (fabs.f64 b) a) b)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 b a) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b a) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 b a)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64))) |
(/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) b) a) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 b a) b) b) |
(/.f64 (*.f64 b b) (*.f64 b a)) |
(/.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 b a) |
(neg.f64 (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 (fabs.f64 b) b) (/.f64 (fabs.f64 b) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fabs.f64 b) b) (/.f64 (fabs.f64 b) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) b (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) b (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (fabs.f64 b) (/.f64 (/.f64 (fabs.f64 b) a) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (fabs.f64 b) (/.f64 (/.f64 (fabs.f64 b) a) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b a) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b a) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(+.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(+.f64 (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
b |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b)) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(*.f64 b b) |
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 2 binary64)) |
(/.f64 (*.f64 b b) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(fma.f64 b b (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 b b) b) b)) |
(fabs.f64 (*.f64 (neg.f64 b) b)) |
(fabs.f64 (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 0 binary64))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
Compiled 6 947 to 2 924 computations (57.9% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 845 | 2 | 847 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 846 | 8 | 854 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.7% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b))) |
| ✓ | 48.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a)) |
| ✓ | 99.7% | #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)) |
| ✓ | 58.9% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ▶ | 15.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
| ✓ | 48.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 51.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | 100.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
Compiled 173 to 173 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 1595 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
(/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) |
#s(approx (+ (* (/ b a) b) (* b 1)) b) |
b |
(*.f64 b b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b))) |
(/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b)) |
(fma.f64 (/.f64 b a) b b) |
(/.f64 b a) |
a |
| 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) b) (* b 1)) (* b b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)) |
#s(approx (+ (* (/ b a) b) (* b 1)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) |
#s(approx (+ (* (/ b a) b) (* b 1)) (/.f64 (fma.f64 a b (pow.f64 b #s(literal 2 binary64))) a)) |
#s(approx (/ b a) (/.f64 b a)) |
#s(approx a 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 a b)))) (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))))) |
#s(approx (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (+ (* (/ b a) b) (* b 1)) b) |
#s(approx (+ (* (/ b a) b) (* b 1)) (+.f64 b (/.f64 (pow.f64 b #s(literal 2 binary64)) 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 (/ (* 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) b) (* b 1)) (* b b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) |
#s(approx (+ (* (/ b a) b) (* b 1)) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
#s(approx (* b b) (pow.f64 b #s(literal 2 binary64))) |
#s(approx (+ (* (/ b a) b) (* b 1)) (*.f64 (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))) (/.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)) (* (- (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 | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) b (* b b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) b) (* b b)) (+ (* (/ b a) b) b) (/ b a) a) |
| 2.0ms | b | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) b (* b b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) b) (* b b)) (+ (* (/ b a) b) b) (/ b a) a) |
| 2.0ms | b | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) b (* b b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) b) (* b b)) (+ (* (/ b a) b) b) (/ b a) a) |
| 2.0ms | a | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) b (* b b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) b) (* b b)) (+ (* (/ b a) b) b) (/ b a) a) |
| 2.0ms | a | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) (* b 1)) (* b b)) (+ (* (/ b a) b) (* b 1)) b (* b b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (* (/ b a) b) b) (* b b)) (+ (* (/ b a) b) b) (/ b a) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 125 |
| 0 | 35 | 116 |
| 1 | 217 | 114 |
| 2 | 925 | 110 |
| 3 | 6325 | 110 |
| 0 | 8045 | 98 |
| 1 | 18294 | 98 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
(/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) |
#s(approx (+ (* (/ b a) b) (* b 1)) b) |
b |
(*.f64 b b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b))) |
(/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b)) |
(fma.f64 (/.f64 b a) b b) |
(/.f64 b a) |
a |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (neg.f64 (fabs.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 b)))) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (fabs.f64 b)) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) b)) |
(*.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (neg.f64 b)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(approx (+ (* (/ b a) b) (* b 1)) b)) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) #s(approx (+ (* (/ b a) b) (* b 1)) b)) (fabs.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(approx (+ (* (/ b a) b) (* b 1)) b)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b)) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(/.f64 (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal -1 binary64)) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (neg.f64 (fabs.f64 b))) (neg.f64 (fabs.f64 b))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (fabs.f64 b))) (neg.f64 (fabs.f64 b))) |
(/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (fabs.f64 b)) (fabs.f64 b)) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) (*.f64 b b)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (neg.f64 b)) (neg.f64 b)) |
(/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) b) b) |
(/.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) |
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) (*.f64 b b))) |
(*.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b)) |
#s(approx (+ (* (/ b a) b) (* b 1)) b) |
(/.f64 (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b)) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b))) |
(fma.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b))) |
(fma.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 1 binary64) (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 0 binary64))) |
(fma.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b))) |
(fma.f64 #s(literal 1 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b))) |
(+.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) #s(literal 0 binary64))) |
(+.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b a) b) (* b 1)) b))) |
b |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b)) |
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(fma.f64 (/.f64 (fabs.f64 b) a) (fabs.f64 b) b) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 b) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 b) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 b) b) |
(fma.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1 binary64) a) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 (/.f64 b (*.f64 a (fabs.f64 b))) (*.f64 (copysign.f64 #s(literal 1 binary64) b) (*.f64 b b)) b) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 b) b) b) |
(fma.f64 (copysign.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b (*.f64 a (fabs.f64 b))) (*.f64 b b)) b) |
(fma.f64 (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 b)) (/.f64 #s(literal 1 binary64) a)) b) |
(fma.f64 (neg.f64 (fabs.f64 b)) (/.f64 (fabs.f64 b) (neg.f64 a)) b) |
(fma.f64 (neg.f64 (fabs.f64 b)) (/.f64 (neg.f64 (fabs.f64 b)) a) b) |
(fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) b (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b b)) b) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 b) b) a) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b) b) |
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) a) b) |
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a) b) |
(fma.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) a) b) |
(fma.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64) b) |
(fma.f64 (fma.f64 (/.f64 b a) b b) #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (/.f64 b a) b b) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 (/.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b b)) b) |
(fma.f64 (/.f64 b a) b b) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) b) b) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) b b) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) b b) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 b b)) b) |
(fma.f64 b (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(fma.f64 b (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(fma.f64 b (/.f64 b a) b) |
(-.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (neg.f64 b) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 b a) b) (/.f64 (neg.f64 b) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 b a) b) (neg.f64 b)) |
(-.f64 b (/.f64 (/.f64 (*.f64 (neg.f64 b) b) a) #s(literal 1 binary64))) |
(-.f64 b (/.f64 (*.f64 (neg.f64 b) b) a)) |
(+.f64 (/.f64 (*.f64 b a) a) (*.f64 (/.f64 b a) b)) |
(+.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) b) |
(+.f64 (*.f64 (/.f64 b a) b) b) |
(+.f64 (fma.f64 (/.f64 b a) b b) (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (/.f64 b a) b b) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) b b))) |
(+.f64 b (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64))) |
(+.f64 b (*.f64 (/.f64 b a) b)) |
(*.f64 (/.f64 (fabs.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 (fabs.f64 b) a) b)) |
(*.f64 (/.f64 (fabs.f64 b) b) (/.f64 (fabs.f64 b) a)) |
(*.f64 (/.f64 (neg.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 (/.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 (fabs.f64 b) (/.f64 (/.f64 (fabs.f64 b) a) b)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 b a) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 b a)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) b) |
(/.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 2 binary64))) |
(/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) b) a) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 b a) b) b) |
(/.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 (*.f64 b b) (*.f64 b a)) |
(/.f64 b a) |
(neg.f64 (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 (fabs.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 (fabs.f64 b) a) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fabs.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 (fabs.f64 b) a) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (fabs.f64 b) b) (/.f64 (fabs.f64 b) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fabs.f64 b) b) (/.f64 (fabs.f64 b) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) b (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) b (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (fabs.f64 b) (/.f64 (/.f64 (fabs.f64 b) a) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (fabs.f64 b) (/.f64 (/.f64 (fabs.f64 b) a) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 (*.f64 b b) (/.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
(+.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal 0 binary64))) |
(+.f64 (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))) |
a |
Compiled 4 856 to 1 832 computations (62.3% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 0 | 511 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 511 | 8 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.7% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b b) (*.f64 b b))) |
| ✓ | 48.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a)) |
| ✓ | 99.7% | #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)) |
| ✓ | 58.9% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
| ✓ | 15.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
| ✓ | 48.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 51.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | 100.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
Compiled 317 to 259 computations (18.3% saved)
| 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 (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a)) |
#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 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
#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 (fma.f64 (/.f64 b a) b b) (*.f64 b b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (/.f64 b a) b (*.f64 b #s(literal 1 binary64))) (*.f64 b b))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 a 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)))) |
#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)) |
(/.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 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
4 calls:
| 4.0ms | eps |
| 4.0ms | b |
| 4.0ms | a |
| 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 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)))) |
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | eps |
Compiled 22 to 26 computations (-18.2% saved)
| 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 (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a)) |
#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)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 a b) (*.f64 a b))) |
4 calls:
| 2.0ms | a |
| 2.0ms | eps |
| 2.0ms | b |
| 1.0ms | (/.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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 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)))) |
| 79.4% | 2 | a |
| 85.3% | 3 | b |
| 72.8% | 3 | eps |
Compiled 22 to 26 computations (-18.2% saved)
| 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 (+ (* (/ b a) b) (* b 1)) b) (*.f64 b b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 a b) a)) |
| 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)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 2 | b |
Compiled 1 to 3 computations (-200% 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)) |
4 calls:
| 4.0ms | b |
| 1.0ms | eps |
| 1.0ms | a |
| 1.0ms | (/.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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 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)))) |
| 51.0% | 1 | eps |
| 51.0% | 1 | a |
| 51.0% | 1 | b |
Compiled 22 to 26 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.311452944842272e-121 | 9.508586007299214e-120 |
| 15.0ms | 3.9916815174082005e-210 | 6.1561729219712945e-205 |
| 22.0ms | 256× | 0 | valid |
Compiled 674 to 698 computations (-3.6% saved)
ival-expm1: 9.0ms (56.9% of total)ival-mult!: 5.0ms (31.6% of total)ival-add!: 1.0ms (6.3% of total)ival-div!: 1.0ms (6.3% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.9916815174082005e-210 | 6.1561729219712945e-205 |
Compiled 387 to 397 computations (-2.6% saved)
| 1× | done |
Compiled 66 to 37 computations (43.9% saved)
Compiled 370 to 261 computations (29.5% saved)
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