
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 13 to 12 computations (7.7% saved)
| 713.0ms | 8 256× | 0 | valid |
ival-cos: 197.0ms (37.3% of total)ival-exp: 123.0ms (23.3% of total)ival-mult: 112.0ms (21.2% of total)ival-add: 44.0ms (8.3% of total)ival-neg: 38.0ms (7.2% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | (neg.f64 im) |
| 0 | 3 | (5.367647227497683e+77 422.24717997722735) | 0 | - | (exp.f64 (neg.f64 im)) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (cos.f64 re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (neg.f64 im)) | sensitivity | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 3 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 3 | 0 | 253 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 47.0ms | 512× | 0 | valid |
Compiled 114 to 44 computations (61.4% saved)
ival-cos: 11.0ms (36.5% of total)ival-exp: 7.0ms (23.2% of total)ival-mult: 6.0ms (19.9% of total)ival-add: 3.0ms (10% of total)ival-neg: 2.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 57 |
| 1 | 91 | 55 |
| 2 | 258 | 55 |
| 3 | 587 | 55 |
| 4 | 910 | 55 |
| 5 | 1191 | 55 |
| 6 | 1418 | 55 |
| 7 | 1591 | 55 |
| 8 | 1641 | 55 |
| 9 | 1646 | 55 |
| 10 | 1646 | 55 |
| 11 | 1646 | 55 |
| 0 | 10 | 11 |
| 0 | 17 | 11 |
| 1 | 34 | 11 |
| 2 | 73 | 11 |
| 3 | 107 | 11 |
| 4 | 129 | 11 |
| 5 | 156 | 11 |
| 6 | 178 | 11 |
| 7 | 181 | 11 |
| 8 | 183 | 11 |
| 9 | 188 | 11 |
| 10 | 188 | 11 |
| 0 | 188 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(abs im)
(abs re)
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 im)) | |
| cost-diff | 0 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 17 | 33 |
| 1 | 34 | 33 |
| 2 | 73 | 33 |
| 3 | 107 | 33 |
| 4 | 129 | 33 |
| 5 | 156 | 33 |
| 6 | 178 | 33 |
| 7 | 181 | 33 |
| 8 | 183 | 33 |
| 9 | 188 | 33 |
| 10 | 188 | 33 |
| 0 | 188 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (neg.f64 im)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| accuracy | 0.00390625 | (exp.f64 im) |
| 25.0ms | 256× | 0 | valid |
Compiled 68 to 22 computations (67.6% saved)
ival-cos: 6.0ms (36.9% of total)ival-exp: 3.0ms (18.5% of total)ival-mult: 3.0ms (18.5% of total)ival-add: 2.0ms (12.3% of total)ival-neg: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(exp.f64 im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ (exp im) (exp (neg im))) |
(exp (neg im)) |
(exp im) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))) |
| 1.0ms | im | @ | inf | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))) |
| 1.0ms | re | @ | inf | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))) |
| 1.0ms | re | @ | 0 | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))) |
| 1.0ms | im | @ | -inf | ((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 387 |
| 1 | 346 | 355 |
| 2 | 1079 | 345 |
| 3 | 3270 | 328 |
| 4 | 7348 | 328 |
| 5 | 7953 | 328 |
| 0 | 8021 | 288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1 (* -1 im)) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ (exp im) (exp (neg im))) |
(exp (neg im)) |
(exp im) |
(+ (exp im) (exp (* -1 im))) |
(exp (* -1 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))) |
(+ 1 (* -1 im)) |
(-.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (- (* 1/2 im) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)) |
(+ 1 im) |
(+.f64 #s(literal 1 binary64) im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp (neg im)) |
(exp.f64 (neg.f64 im)) |
(exp im) |
(exp.f64 im) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp (* -1 im)) |
(exp.f64 (neg.f64 im)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 47 | 24 |
| 2 | 285 | 22 |
| 3 | 2485 | 22 |
| 0 | 9034 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(exp.f64 im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (cos.f64 re))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 (cos.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) |
Compiled 7 347 to 1 051 computations (85.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 303 | 4 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 304 | 4 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
| ▶ | 78.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 54.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 47 to 43 computations (8.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) | |
| cost-diff | 1408 | (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 6080 | (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 123 |
| 0 | 37 | 113 |
| 1 | 63 | 111 |
| 2 | 115 | 103 |
| 3 | 223 | 103 |
| 4 | 583 | 103 |
| 5 | 1783 | 103 |
| 6 | 4818 | 103 |
| 7 | 5032 | 103 |
| 8 | 5034 | 103 |
| 9 | 5034 | 103 |
| 0 | 9608 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos.f64 re) |
re |
#s(literal 1/2 binary64) |
(pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(cosh.f64 im) |
im |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos.f64 re) |
re |
#s(literal 1/2 binary64) |
(pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
(cosh.f64 im) |
im |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (cosh.f64 im) | |
| accuracy | 0.0078125 | (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) | |
| accuracy | 0.00390625 | (cosh.f64 im) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 2.3145570514086944 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 2.4422569957352094 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
| 113.0ms | 145× | 0 | valid |
| 20.0ms | 111× | 0 | exit |
Compiled 235 to 48 computations (79.6% saved)
ival-div: 89.0ms (75.1% of total)ival-mult: 10.0ms (8.4% of total)ival-cos: 6.0ms (5.1% of total)ival-pow: 4.0ms (3.4% of total)ival-exp: 3.0ms (2.5% of total)ival-add: 2.0ms (1.7% of total)ival-cosh: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(cosh.f64 im) |
(pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* -1/4 (pow im 2))) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(+ (exp im) (exp (neg im))) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | re | @ | 0 | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (pow (* (cosh im) 2) -1) (/ (* (cos re) 1/2) (pow (* (cosh im) 2) -1)) (* (cos re) 1/2)) |
| 2.0ms | im | @ | inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (pow (* (cosh im) 2) -1) (/ (* (cos re) 1/2) (pow (* (cosh im) 2) -1)) (* (cos re) 1/2)) |
| 2.0ms | im | @ | -inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (pow (* (cosh im) 2) -1) (/ (* (cos re) 1/2) (pow (* (cosh im) 2) -1)) (* (cos re) 1/2)) |
| 2.0ms | im | @ | 0 | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (pow (* (cosh im) 2) -1) (/ (* (cos re) 1/2) (pow (* (cosh im) 2) -1)) (* (cos re) 1/2)) |
| 1.0ms | re | @ | inf | ((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (pow (* (cosh im) 2) -1) (/ (* (cos re) 1/2) (pow (* (cosh im) 2) -1)) (* (cos re) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 535 |
| 1 | 424 | 480 |
| 2 | 1186 | 466 |
| 3 | 3409 | 435 |
| 4 | 7442 | 435 |
| 5 | 7946 | 435 |
| 0 | 8008 | 387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* -1/4 (pow im 2))) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(+ (exp im) (exp (neg im))) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1/2 (* -1/4 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (*.f64 im im) #s(literal 5/48 binary64)) (*.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(/ 1 (+ (exp im) (/ 1 (exp im)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 88 |
| 0 | 37 | 78 |
| 1 | 110 | 68 |
| 2 | 564 | 68 |
| 3 | 5303 | 68 |
| 0 | 8053 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(cosh.f64 im) |
(pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (cos.f64 re))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 re))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (cos.f64 re)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 re))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cos.f64 re)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (cos.f64 re))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 re)) |
(*.f64 (cos.f64 re) #s(literal 1 binary64)) |
(cos.f64 re) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re))) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) im)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))) |
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cosh.f64 im) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cosh.f64 im) #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 im)) (cos.f64 re))) |
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cos.f64 re))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cosh.f64 im))) |
(/.f64 (cos.f64 re) (pow.f64 (cosh.f64 im) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (cosh.f64 im)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 re)) (cosh.f64 im)))) |
(neg.f64 (*.f64 (neg.f64 (cos.f64 re)) (cosh.f64 im))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(fma.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 im))) (*.f64 (neg.f64 (cos.f64 re)) (cosh.f64 im))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 re)) (cosh.f64 im))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (cosh.f64 im) (cos.f64 re)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 re))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (cos.f64 re)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 re))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cos.f64 re)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (cos.f64 re))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -1 binary64))) |
Compiled 7 399 to 1 113 computations (85% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 430 | 14 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 432 | 16 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal -1 binary64) (cosh.f64 im))) | |
| ▶ | 100.0% | (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
| 61.3% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 78.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 54.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 100.0% | (*.f64 (cosh.f64 im) (cos.f64 re)) | |
| 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| ▶ | 87.6% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 53.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 38.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 47.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 32.5% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 50.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 32.0% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 48.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 29.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Compiled 593 to 445 computations (25% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 re re) | |
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) | |
| cost-diff | 1984 | (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) | |
| cost-diff | 28608 | (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 351 |
| 0 | 74 | 323 |
| 1 | 123 | 315 |
| 2 | 197 | 304 |
| 3 | 385 | 300 |
| 4 | 722 | 300 |
| 5 | 1067 | 300 |
| 6 | 1671 | 288 |
| 7 | 3629 | 288 |
| 8 | 4437 | 288 |
| 9 | 5505 | 288 |
| 10 | 5563 | 288 |
| 11 | 5603 | 288 |
| 12 | 5640 | 288 |
| 13 | 6542 | 288 |
| 14 | 7006 | 288 |
| 15 | 7932 | 288 |
| 16 | 7971 | 288 |
| 17 | 7997 | 288 |
| 0 | 8001 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
im |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(cos.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(cosh.f64 im) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) |
#s(literal 1/2 binary64) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) |
(/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) |
(cosh.f64 im) |
im |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(cos.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 2.2537251456561407 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) | |
| accuracy | 2.4422569957352094 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 19.185350156362865 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 re re) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 2.3145570514086944 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 19.162060667064246 | #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 2.4422569957352094 | #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 17.476883775202502 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.24159707425142224 | (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) | |
| accuracy | 0.24427869134036367 | (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) | |
| accuracy | 0.52734375 | (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) | |
| accuracy | 0.52734375 | (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) |
| 62.0ms | 145× | 0 | valid |
| 53.0ms | 111× | 1 | exit |
Compiled 621 to 92 computations (85.2% saved)
ival-mult: 19.0ms (22.6% of total)ival-add: 15.0ms (17.9% of total)ival-div: 10.0ms (11.9% of total)const: 9.0ms (10.7% of total)adjust: 8.0ms (9.5% of total)ival-pow: 7.0ms (8.3% of total)ival-cos: 5.0ms (6% of total)ival-exp: 3.0ms (3.6% of total)ival-cosh: 3.0ms (3.6% of total)ival-sqrt: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
| Outputs |
|---|
(* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) |
(+ (* -1/8 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2))))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/8 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* 1/96 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2))))))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/8 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/2880 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) (* 1/96 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2))))))))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(pow re 2) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/4 (* (pow 4 1/4) (/ (* (cos re) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/48 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/4 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/1440 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/48 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow im 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow im 2) (- (* 1/2 (/ (* (pow im 2) (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow im 2) (- (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (+ 61/1440 (* -1/8 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) |
(+ (* 3/16 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))) |
(+ (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/256 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 3/16 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))))) |
(+ (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 3/16 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 31/30720 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/256 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))))))) |
(* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/48 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/4 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/1440 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/48 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))))))) |
(cos re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(/ 1/2 (sqrt 1/2)) |
(+ (* 1/8 (/ (pow im 2) (sqrt 1/2))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(+ (* (pow im 2) (+ (* -1/192 (/ (pow im 2) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 19/11520 (/ (pow im 2) (sqrt 1/2))) (* 1/192 (/ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(pow 1/2 1/4) |
(+ (* -1/8 (* (pow 1/2 1/4) (pow im 2))) (pow 1/2 1/4)) |
(+ (* (pow im 2) (+ (* -1/8 (pow 1/2 1/4)) (* 11/384 (* (pow 1/2 1/4) (pow im 2))))) (pow 1/2 1/4)) |
(+ (* (pow im 2) (+ (* -1/8 (pow 1/2 1/4)) (* (pow im 2) (+ (* -391/46080 (* (pow 1/2 1/4) (pow im 2))) (* 11/384 (pow 1/2 1/4)))))) (pow 1/2 1/4)) |
(sqrt (/ 1 (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (pow (* 1/4 (pow (+ (exp im) (/ 1 (exp im))) 3)) 1/4) (/ 1 (sqrt 1/2)))) |
(+ (exp im) (exp (neg im))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/2 (sqrt (+ (exp im) (/ 1 (exp im))))) |
(pow (/ 1 (+ (exp im) (/ 1 (exp im)))) 1/4) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 131.0ms | re | @ | inf | ((/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/2) (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (* (/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 114.0ms | im | @ | inf | ((/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/2) (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (* (/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 103.0ms | im | @ | -inf | ((/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/2) (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (* (/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 18.0ms | re | @ | -inf | ((/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/2) (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (* (/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 5.0ms | im | @ | 0 | ((/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/2) (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (* (/ (/ (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4)) (pow (/ 1/2 (cosh im)) 1/4)) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (/ 1/2 (pow (/ 1/2 (cosh im)) 1/2)) (pow (/ 1/2 (cosh im)) 1/4) (+ (exp (neg im)) (exp im)) (+ (* -1/1440 (* re re)) 1/48)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 1523 |
| 1 | 955 | 1402 |
| 2 | 3147 | 1233 |
| 3 | 6583 | 1214 |
| 0 | 9062 | 1127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) |
(+ (* -1/8 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2))))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/8 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* 1/96 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2))))))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/8 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/2880 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) (* 1/96 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2))))))))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(pow re 2) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/4 (* (pow 4 1/4) (/ (* (cos re) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* -1/4 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/48 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/4 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/1440 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/48 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ (pow im 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow im 2) (- (* 1/2 (/ (* (pow im 2) (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow im 2) (- (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (+ 61/1440 (* -1/8 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) |
(+ (* 3/16 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))) |
(+ (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/256 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 3/16 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))))) |
(+ (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 3/16 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 31/30720 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/256 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))))))) |
(* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/48 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))))) |
(+ (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/4 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/1440 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/48 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))))))) |
(cos re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(/ 1/2 (sqrt 1/2)) |
(+ (* 1/8 (/ (pow im 2) (sqrt 1/2))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(+ (* (pow im 2) (+ (* -1/192 (/ (pow im 2) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 19/11520 (/ (pow im 2) (sqrt 1/2))) (* 1/192 (/ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(pow 1/2 1/4) |
(+ (* -1/8 (* (pow 1/2 1/4) (pow im 2))) (pow 1/2 1/4)) |
(+ (* (pow im 2) (+ (* -1/8 (pow 1/2 1/4)) (* 11/384 (* (pow 1/2 1/4) (pow im 2))))) (pow 1/2 1/4)) |
(+ (* (pow im 2) (+ (* -1/8 (pow 1/2 1/4)) (* (pow im 2) (+ (* -391/46080 (* (pow 1/2 1/4) (pow im 2))) (* 11/384 (pow 1/2 1/4)))))) (pow 1/2 1/4)) |
(sqrt (/ 1 (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (pow (* 1/4 (pow (+ (exp im) (/ 1 (exp im))) 3)) 1/4) (/ 1 (sqrt 1/2)))) |
(+ (exp im) (exp (neg im))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/2 (sqrt (+ (exp im) (/ 1 (exp im))))) |
(pow (/ 1 (+ (exp im) (/ 1 (exp im)))) 1/4) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1/8 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2))))) |
(*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/8 binary64) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/8 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* 1/96 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2))))))) |
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) #s(literal 1/96 binary64) #s(literal -1/8 binary64))) (*.f64 re re))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/8 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2)))) (* (pow re 2) (+ (* -1/2880 (* (pow 4 1/4) (/ (* (pow re 2) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) (* 1/96 (* (pow 4 1/4) (/ (+ (exp im) (/ 1 (exp im))) (sqrt 1/2))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/96 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2880 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 re re)))) (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/8 binary64) #s(literal 1/4 binary64)))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(pow re 2) |
(*.f64 re re) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow re 2)) 1/4) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
1/48 |
#s(literal 1/48 binary64) |
(+ 1/48 (* -1/1440 (pow re 2))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(* 1/4 (* (pow 4 1/4) (/ (* (cos re) (+ (exp im) (/ 1 (exp im)))) (sqrt 1/2)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 re))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(* -1/4 (pow re 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re) |
(* -1/1440 (pow re 6)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1/48 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/1440 binary64))) (pow.f64 re #s(literal 6 binary64))) |
(* -1/1440 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64))) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* -1/1440 (pow re 2)) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) re) re) |
(* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))) |
(*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/48 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) (*.f64 im im) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) |
(+ (* 1/2 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/4 (* (pow 4 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/1440 (* (pow 4 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/48 (* (pow 4 1/4) (/ 1 (sqrt 1/2))))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 im (/.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ (pow im 2) (sqrt 1/2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) im) im (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow im 2) (- (* 1/2 (/ (* (pow im 2) (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 7/192 binary64) (sqrt.f64 #s(literal 1/2 binary64))) im) im (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 im im) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* (pow im 2) (- (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (+ 61/1440 (* -1/8 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (*.f64 im (/.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -139/11520 binary64) (*.f64 im im) #s(literal 7/192 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 im im) (sqrt.f64 #s(literal 1/2 binary64))) |
(* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(+ (* 3/16 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 im im) #s(literal 3/16 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 1/256 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 3/16 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/256 binary64) #s(literal 3/16 binary64))) (*.f64 im im) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(+ (* 1/2 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 3/16 (* (pow 2 1/4) (/ 1 (sqrt 1/2)))) (* (pow im 2) (+ (* 31/30720 (* (pow 2 1/4) (/ (pow im 2) (sqrt 1/2)))) (* 1/256 (* (pow 2 1/4) (/ 1 (sqrt 1/2))))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 31/30720 binary64) (*.f64 im (/.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 im im) #s(literal 3/16 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* 1/4 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))) |
(*.f64 (*.f64 (/.f64 (cos.f64 re) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/48 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/4 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))))) |
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 re) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 re) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) (*.f64 im im))) |
(+ (* 1/2 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/4 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2)))) (* (pow im 2) (+ (* 1/1440 (* (pow 4 1/4) (/ (* (pow im 2) (cos re)) (sqrt 1/2)))) (* 1/48 (* (pow 4 1/4) (/ (cos re) (sqrt 1/2))))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (/.f64 (cos.f64 re) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 im im)))) (*.f64 (*.f64 (/.f64 (cos.f64 re) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(cos re) |
(cos.f64 re) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(fma.f64 (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(/ 1/2 (sqrt 1/2)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* 1/8 (/ (pow im 2) (sqrt 1/2))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) im) im #s(literal 1/2 binary64))) |
(+ (* (pow im 2) (+ (* -1/192 (/ (pow im 2) (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(fma.f64 (*.f64 im (/.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal -1/192 binary64) im) im #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 19/11520 (/ (pow im 2) (sqrt 1/2))) (* 1/192 (/ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (sqrt 1/2)))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 19/11520 binary64) im) (/.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/192 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) im) im #s(literal 1/2 binary64)))) |
(pow 1/2 1/4) |
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) |
(+ (* -1/8 (* (pow 1/2 1/4) (pow im 2))) (pow 1/2 1/4)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) im) im #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) |
(+ (* (pow im 2) (+ (* -1/8 (pow 1/2 1/4)) (* 11/384 (* (pow 1/2 1/4) (pow im 2))))) (pow 1/2 1/4)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 11/384 binary64) #s(literal -1/8 binary64))) (*.f64 im im) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) |
(+ (* (pow im 2) (+ (* -1/8 (pow 1/2 1/4)) (* (pow im 2) (+ (* -391/46080 (* (pow 1/2 1/4) (pow im 2))) (* 11/384 (pow 1/2 1/4)))))) (pow 1/2 1/4)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) im) im #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -391/46080 binary64) (*.f64 im im) #s(literal 11/384 binary64))))) |
(sqrt (/ 1 (+ (exp im) (/ 1 (exp im))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* 1/2 (* (pow (* 1/4 (pow (+ (exp im) (/ 1 (exp im))) 3)) 1/4) (/ 1 (sqrt 1/2)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/24 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) |
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im im)) |
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) |
(* 1/2 (sqrt (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64)) |
(pow (/ 1 (+ (exp im) (/ 1 (exp im)))) 1/4) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/4 binary64)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 301 |
| 0 | 74 | 276 |
| 1 | 260 | 260 |
| 2 | 1679 | 246 |
| 0 | 8528 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cosh.f64 im))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -5/8 binary64)) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)) (pow.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cosh.f64 im) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (cosh.f64 im) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -5/8 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (pow.f64 (cosh.f64 im) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -5/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (cosh.f64 im) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/8 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -5/8 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 5/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 3/8 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 im))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -3/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/8 binary64)))) |
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(fma.f64 (*.f64 #s(literal -1/1440 binary64) re) re #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/1440 binary64) re) #s(literal 1/48 binary64)) |
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (neg.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))))) |
(+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64)) |
(+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
Compiled 21 720 to 2 794 computations (87.1% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 668 | 8 | 676 |
| Fresh | 1 | 8 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 672 | 20 | 692 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal -1 binary64) (cosh.f64 im))) | |
| 99.2% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cosh.f64 im))) (cos.f64 re)) | |
| 61.3% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 78.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 100.0% | (*.f64 (cosh.f64 im) (cos.f64 re)) |
| ▶ | 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| ✓ | 87.6% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 37.1% | (*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) | |
| ▶ | 53.1% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 38.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 38.2% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 32.5% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 47.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 32.0% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 50.1% | (*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 44.6% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 11.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 48.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 29.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 54.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
Compiled 822 to 618 computations (24.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 im im #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (cosh.f64 im) (cos.f64 re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 339 |
| 0 | 67 | 335 |
| 1 | 117 | 335 |
| 2 | 196 | 335 |
| 3 | 455 | 335 |
| 4 | 935 | 335 |
| 5 | 1240 | 335 |
| 6 | 1435 | 335 |
| 7 | 1617 | 335 |
| 8 | 1663 | 335 |
| 9 | 1664 | 335 |
| 0 | 1664 | 335 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
| Outputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(cosh.f64 im) |
im |
(cos.f64 re) |
re |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 re re) |
re |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
#s(literal -1/1440 binary64) |
(*.f64 re re) |
re |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 re) |
re |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) | |
| accuracy | 0.0625 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 5.498099217825054 | #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) | |
| accuracy | 0.078125 | (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) | |
| accuracy | 13.68525596923674 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 30.67269333391633 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) | |
| accuracy | 13.68525596923674 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 30.70127796241272 | #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (fma.f64 im im #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 13.68525596923674 | #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 28.34528911498156 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (cos.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (cosh.f64 im) (cos.f64 re)) | |
| accuracy | 0.00390625 | (cosh.f64 im) |
| 127.0ms | 256× | 0 | valid |
Compiled 572 to 85 computations (85.1% saved)
ival-mult: 24.0ms (35.3% of total)ival-add: 15.0ms (22.1% of total)const: 12.0ms (17.7% of total)ival-exp: 6.0ms (8.8% of total)ival-cos: 6.0ms (8.8% of total)ival-cosh: 3.0ms (4.4% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(cosh.f64 im) |
(cos.f64 re) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* 1/48 (pow re 4)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(* 1/48 (pow re 2)) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
(+ (exp im) (exp (neg im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | im | @ | inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/1440 (* re re)) 1/48) (+ (* 1/720 (* im im)) 1/24)) |
| 2.0ms | re | @ | inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/1440 (* re re)) 1/48) (+ (* 1/720 (* im im)) 1/24)) |
| 2.0ms | im | @ | -inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/1440 (* re re)) 1/48) (+ (* 1/720 (* im im)) 1/24)) |
| 2.0ms | re | @ | -inf | ((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/1440 (* re re)) 1/48) (+ (* 1/720 (* im im)) 1/24)) |
| 1.0ms | re | @ | 0 | ((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* -1/1440 (* re re)) 1/48) (+ (* 1/720 (* im im)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 800 |
| 1 | 549 | 745 |
| 2 | 1504 | 727 |
| 3 | 4346 | 696 |
| 0 | 8438 | 639 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
1 |
(+ 1 (* -1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
-1/4 |
(- (* 1/48 (pow re 2)) 1/4) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
1/48 |
(+ 1/48 (* -1/1440 (pow re 2))) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(cos re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (cos re)) |
(* 1/48 (pow re 4)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(* 1/48 (pow re 2)) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(* -1/1440 (pow re 6)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 4)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(* -1/1440 (pow re 2)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
(+ (exp im) (exp (neg im))) |
(pow im 2) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (+ (exp im) (exp (neg im)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im)))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im))))))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow re 2)) 1/4) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
1/48 |
#s(literal 1/48 binary64) |
(+ 1/48 (* -1/1440 (pow re 2))) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(* 1/48 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64)) |
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))) |
(* 1/48 (pow re 2)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 re re)) |
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2))))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(* -1/1440 (pow re 6)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 6 binary64))) |
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1/48 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/1440 binary64))) (pow.f64 re #s(literal 6 binary64))) |
(* -1/1440 (pow re 4)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 4 binary64))) |
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(* -1/1440 (pow re 2)) |
(*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) |
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(+ (cos re) (* 1/2 (* (pow im 2) (cos re)))) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)) |
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re))))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (* 1/2 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow im 2)) |
(fma.f64 im im #s(literal 2 binary64)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
(+ 1/2 (* 1/24 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow im 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(+ (exp im) (exp (neg im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(pow im 2) |
(*.f64 im im) |
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2))))) |
(fma.f64 im im #s(literal 2 binary64)) |
(* 1/720 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) |
(* 1/720 (pow im 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re)) |
(+ (exp im) (exp (* -1 im))) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 274 |
| 0 | 67 | 270 |
| 1 | 244 | 262 |
| 2 | 1621 | 262 |
| 0 | 8440 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(cosh.f64 im) |
(cos.f64 re) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (cosh.f64 im)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (cosh.f64 im))) |
(*.f64 (*.f64 (cos.f64 re) (cosh.f64 im)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 (cosh.f64 im) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) |
(cosh.f64 im) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64))) |
(cos.f64 re) |
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (fma.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 4 binary64)) #s(literal 1/5308416 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 6 binary64)) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 4 binary64)) (+.f64 #s(literal 1/5308416 binary64) (*.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/2304 binary64)))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 6 binary64)) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/110592 binary64)) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/26623333280885243904000000000 binary64) (pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/1352605460594688 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/8916100448256000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/330225942528000 binary64)))) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/1440 binary64) re) re #s(literal 1/48 binary64)) |
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) |
(fma.f64 re (*.f64 #s(literal -1/1440 binary64) re) #s(literal 1/48 binary64)) |
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)))) (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))) |
(+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 re re)) #s(literal 1/48 binary64)) |
(+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) |
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 im #s(literal 12 binary64))) #s(literal 1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 im #s(literal 12 binary64))) #s(literal 1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/51998697814228992000000000 binary64) (pow.f64 im #s(literal 18 binary64)) #s(literal 1/2641807540224 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 im #s(literal 12 binary64)) (-.f64 #s(literal 1/191102976 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/5159780352000 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 im (*.f64 #s(literal 1/720 binary64) im) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) |
Compiled 20 478 to 2 193 computations (89.3% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 8 | 476 |
| Fresh | 1 | 10 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 472 | 24 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal -1 binary64) (cosh.f64 im))) | |
| 99.2% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cosh.f64 im))) (cos.f64 re)) | |
| ✓ | 78.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 100.0% | (*.f64 (cosh.f64 im) (cos.f64 re)) |
| 61.3% | (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) | |
| 91.4% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| 60.5% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) | |
| 57.7% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) | |
| ✓ | 87.6% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| 91.1% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) | |
| 37.1% | (*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) | |
| 28.9% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) | |
| ✓ | 38.3% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 38.2% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 32.5% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 32.0% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) | |
| 46.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 50.1% | (*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 44.6% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 11.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 48.0% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 21.7% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) | |
| ✓ | 29.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| 54.2% | #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
Compiled 1 365 to 603 computations (55.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(/.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal -1 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cosh.f64 im))) (cos.f64 re)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
6 calls:
| 75.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 14.0ms | re |
| 10.0ms | im |
| 10.0ms | (cos.f64 re) |
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 100.0% | 1 | (cos.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) |
(/.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal -1 binary64) (cosh.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cosh.f64 im))) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) (cos.f64 re)) |
6 calls:
| 11.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 10.0ms | re |
| 10.0ms | im |
| 9.0ms | (cos.f64 re) |
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 100.0% | 1 | (cos.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
6 calls:
| 30.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 9.0ms | re |
| 8.0ms | im |
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 8.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | re |
| 95.1% | 3 | im |
| 98.8% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 94.3% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 94.3% | 2 | (cos.f64 re) |
| 91.4% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im))) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
5 calls:
| 9.0ms | (cos.f64 re) |
| 9.0ms | im |
| 6.0ms | re |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 2 | im |
| 76.4% | 2 | re |
| 79.8% | 4 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 79.8% | 4 | (cos.f64 re) |
| 95.0% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 19 to 22 computations (-15.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
6 calls:
| 34.0ms | (cos.f64 re) |
| 6.0ms | re |
| 6.0ms | im |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 1 | re |
| 70.8% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 70.8% | 2 | (cos.f64 re) |
| 63.3% | 2 | im |
| 63.2% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 70.8% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 70.7% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 70.7% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 69.7% | 2 | (cos.f64 re) |
| 69.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 78.0ms | (cos.f64 re) |
| 4.0ms | re |
| 4.0ms | im |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 2 | re |
| 52.8% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 55.0% | 3 | im |
| 62.3% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 60.1% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 60.1% | 2 | (cos.f64 re) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | (cos.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 58.3% | 2 | (cos.f64 re) |
| 60.6% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
1 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 3.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 58.3% | 2 | (cos.f64 re) |
| 58.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 2.0ms | (cos.f64 re) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 53.9% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 53.9% | 2 | (cos.f64 re) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
6 calls:
| 33.0ms | (cos.f64 re) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 1 | re |
| 48.0% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 48.0% | 1 | im |
| 48.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 48.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 48.0% | 1 | (cos.f64 re) |
Compiled 25 to 28 computations (-12% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) |
6 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | im |
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 2.0ms | re |
| 1.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.9% | 2 | im |
| 47.9% | 2 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 32.8% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 32.8% | 2 | (cos.f64 re) |
| 47.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 32.3% | 2 | re |
Compiled 25 to 28 computations (-12% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
6 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | im |
| 1.0ms | re |
| 1.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.5% | 1 | re |
| 29.5% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 29.5% | 1 | (cos.f64 re) |
| 29.5% | 1 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 29.5% | 1 | im |
| 29.5% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Compiled 25 to 28 computations (-12% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999997766 | 1.0 |
| 0.0ms | -1.1481521173417395e+183 | -1.9392473145972941e+158 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999997766 | 1.0 |
| 0.0ms | -1.1481521173417395e+183 | -1.9392473145972941e+158 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999997766 | 1.0 |
| 0.0ms | -1.9392473145972941e+158 | -100755.33711423789 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999997766 | 1.0 |
| 0.0ms | -1.9392473145972941e+158 | -100755.33711423789 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999997766 | 1.0 |
| 0.0ms | -1.9392473145972941e+158 | -100755.33711423789 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05003319719775493 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05178616858147188 | -0.05164214785157753 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05003319719775493 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.999940416677372 | 0.9999999998963299 |
| 0.0ms | -0.05003319719775493 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.999940416677372 | 0.9999999998963299 |
| 0.0ms | -0.05003319719775493 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.999940416677372 | 0.9999999998963299 |
| 0.0ms | -0.05003319719775493 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02705426023079785 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02705426023079785 | 0.0033217282927955395 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000002811440056 | 2.0531616727185503e+46 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1227 |
| 1 | 163 | 1227 |
| 2 | 165 | 1227 |
| 3 | 166 | 1227 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -7450755223521749/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (cos.f64 re)) |
(*.f64 (cos.f64 re) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 im)) #s(literal 1/4 binary64)))) |
(*.f64 (cosh.f64 im) (cos.f64 re)) |
(*.f64 (cos.f64 re) (cosh.f64 im)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2251799813684745/2251799813685248 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2251799813684745/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2251799813684745/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2251799813684745/2251799813685248 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -7450755223521749/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -7450755223521749/144115188075855872 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 #s(literal -1/1440 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (*.f64 (*.f64 re re) #s(literal -1/1440 binary64))) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 9006748894778255/9007199254740992 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (*.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 17 | 28 |
| 1 | 47 | 24 |
| 2 | 285 | 22 |
| 3 | 2485 | 22 |
| 0 | 9034 | 22 |
| 0 | 315 | 1523 |
| 1 | 955 | 1402 |
| 2 | 3147 | 1233 |
| 3 | 6583 | 1214 |
| 0 | 9062 | 1127 |
| 0 | 183 | 800 |
| 1 | 549 | 745 |
| 2 | 1504 | 727 |
| 3 | 4346 | 696 |
| 0 | 8438 | 639 |
| 0 | 24 | 88 |
| 0 | 37 | 78 |
| 1 | 110 | 68 |
| 2 | 564 | 68 |
| 3 | 5303 | 68 |
| 0 | 8053 | 68 |
| 0 | 143 | 535 |
| 1 | 424 | 480 |
| 2 | 1186 | 466 |
| 3 | 3409 | 435 |
| 4 | 7442 | 435 |
| 5 | 7946 | 435 |
| 0 | 8008 | 387 |
| 0 | 119 | 387 |
| 1 | 346 | 355 |
| 2 | 1079 | 345 |
| 3 | 3270 | 328 |
| 4 | 7348 | 328 |
| 5 | 7953 | 328 |
| 0 | 8021 | 288 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 452 to 1 121 computations (54.3% saved)
(abs re)
(abs im)
Compiled 2 776 to 456 computations (83.6% saved)
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