
Time bar (total: 9.1s)
| 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 14 to 13 computations (7.1% saved)
| 834.0ms | 1 541× | 2 | valid |
| 603.0ms | 2 454× | 1 | valid |
| 471.0ms | 4 261× | 0 | valid |
ival-exp: 916.0ms (57.9% of total)ival-cos: 197.0ms (12.4% of total)ival-mult: 184.0ms (11.6% of total)adjust: 146.0ms (9.2% of total)ival-sub: 120.0ms (7.6% of total)exact: 9.0ms (0.6% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 0 | - | 0 | - | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 0 binary64) im) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) | cancellation | 123 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 0 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 0 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 272× | 0 | valid |
| 45.0ms | 108× | 2 | valid |
| 33.0ms | 132× | 1 | valid |
Compiled 92 to 37 computations (59.8% saved)
ival-cos: 50.0ms (41.4% of total)ival-exp: 47.0ms (38.9% of total)adjust: 8.0ms (6.6% of total)ival-mult: 8.0ms (6.6% of total)ival-sub: 6.0ms (5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 59 |
| 1 | 95 | 55 |
| 2 | 221 | 55 |
| 3 | 642 | 55 |
| 4 | 3153 | 55 |
| 0 | 11 | 12 |
| 0 | 18 | 11 |
| 1 | 38 | 11 |
| 2 | 73 | 11 |
| 3 | 201 | 11 |
| 4 | 770 | 10 |
| 5 | 7844 | 10 |
| 0 | 8010 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(abs re)
(negabs im)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | |
| cost-diff | 1 | (-.f64 #s(literal 0 binary64) im) | |
| cost-diff | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 0 | 18 | 34 |
| 1 | 38 | 34 |
| 2 | 73 | 34 |
| 3 | 201 | 34 |
| 4 | 770 | 32 |
| 5 | 7844 | 32 |
| 0 | 8010 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
(-.f64 #s(literal 0 binary64) im) |
#s(literal 0 binary64) |
im |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.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 |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
(exp.f64 (neg.f64 im)) |
(-.f64 #s(literal 0 binary64) im) |
(neg.f64 im) |
#s(literal 0 binary64) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 im) | |
| accuracy | 0.00390625 | (cos.f64 re) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | |
| accuracy | 28.476766315624605 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 33.0ms | 54× | 2 | valid |
| 14.0ms | 66× | 1 | valid |
| 12.0ms | 136× | 0 | valid |
Compiled 40 to 13 computations (67.5% saved)
ival-exp: 31.0ms (65.2% of total)ival-cos: 5.0ms (10.5% of total)adjust: 4.0ms (8.4% of total)ival-mult: 4.0ms (8.4% of total)ival-sub: 3.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(-.f64 #s(literal 0 binary64) im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(exp.f64 im) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp 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 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (cos re)) |
(cos re) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1 im) |
(* -1 (* im (cos re))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 1.0ms | im | @ | inf | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 1.0ms | im | @ | -inf | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 1.0ms | re | @ | inf | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 1.0ms | re | @ | 0 | ((- (exp (- 0 im)) (exp im)) (- 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (exp im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 381 |
| 1 | 387 | 349 |
| 2 | 1286 | 341 |
| 3 | 5237 | 320 |
| 0 | 8363 | 297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp 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 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* 1/2 (cos re)) |
(cos re) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1 im) |
(* -1 (* im (cos re))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(+ 1 im) |
(+ 1 (* im (+ 1 (* 1/2 im)))) |
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) |
(- (exp (neg im)) (exp im)) |
(exp im) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(*.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)) (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp 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) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* -1 im) |
(neg.f64 im) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) |
(+ 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)) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp im) |
(exp.f64 im) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp 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 | 11 | 30 |
| 0 | 18 | 27 |
| 1 | 64 | 27 |
| 2 | 420 | 25 |
| 0 | 5001 | 25 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(-.f64 #s(literal 0 binary64) im) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64))) |
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) im)) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im im))) |
(/.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 im im))) |
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im)) |
(/.f64 (*.f64 (neg.f64 im) im) im) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(neg.f64 im) |
(fma.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 im im) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal 3 binary64))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im) #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im)))) |
(-.f64 (neg.f64 im) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) im) |
(+.f64 (neg.f64 im) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 im)) |
(log.f64 (exp.f64 (neg.f64 im))) |
(*.f64 (/.f64 (*.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 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.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 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (cos.f64 re)) |
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #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))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 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 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.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))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (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) (cosh.f64 im)))) |
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.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)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(/.f64 (*.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 2 binary64) (cosh.f64 im))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))) |
(fma.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))) |
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))))) |
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)) |
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 re)) |
(cos.f64 re) |
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im))) |
(*.f64 #s(literal 1 binary64) (exp.f64 im)) |
(*.f64 (exp.f64 im) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 im) (cosh.f64 im))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(-.f64 (+.f64 (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) #s(literal 0 binary64)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (+.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (-.f64 #s(literal 0 binary64) (sinh.f64 im))) |
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))) |
(exp.f64 im) |
(+.f64 (-.f64 (cosh.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im))) |
(+.f64 (sinh.f64 im) (cosh.f64 im)) |
(+.f64 (cosh.f64 im) (sinh.f64 im)) |
Compiled 5 110 to 871 computations (83% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 7 | 205 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 199 | 7 | 206 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
| 48.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) | |
| ▶ | 92.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
| ▶ | 90.1% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
| ▶ | 83.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
| 43.8% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) | |
| ▶ | 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
Compiled 334 to 252 computations (24.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| 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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) | |
| 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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)) | |
| 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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (neg.f64 (cos.f64 re)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (cos.f64 re)) im) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 445 |
| 0 | 81 | 438 |
| 1 | 155 | 436 |
| 2 | 334 | 434 |
| 3 | 804 | 423 |
| 4 | 3188 | 423 |
| 0 | 8230 | 423 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(cos.f64 re) |
re |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(literal 2 binary64) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
#s(literal 1/2 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(cos.f64 re) |
re |
im |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 im im) #s(literal -1/3 binary64)) |
(*.f64 im im) |
im |
#s(literal -1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) |
(cos.f64 re) |
re |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
#s(literal 1/2 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(cos.f64 re) |
re |
im |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 im im) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(*.f64 im im) |
im |
#s(literal -1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
#s(literal -1/60 binary64) |
(*.f64 im im) |
im |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) | |
| accuracy | 0.1015625 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) | |
| accuracy | 0.3334853787704472 | (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) | |
| accuracy | 4.618888308443957 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) | |
| accuracy | 0.1171875 | (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) | |
| accuracy | 0.23046875 | (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) | |
| accuracy | 6.323384354435895 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) | |
| accuracy | 0.05078125 | (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) | |
| accuracy | 10.368073208400773 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)) | |
| accuracy | 0.0 | (neg.f64 (cos.f64 re)) | |
| accuracy | 0.00390625 | (cos.f64 re) | |
| accuracy | 0.0859375 | (*.f64 (neg.f64 (cos.f64 re)) im) | |
| accuracy | 31.583476429980664 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) | |
| accuracy | 0.0 | (sinh.f64 (neg.f64 im)) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 0.00390625 | (cos.f64 re) | |
| accuracy | 0.03515625 | (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
| 114.0ms | 66× | 1 | valid |
| 60.0ms | 136× | 0 | valid |
| 54.0ms | 54× | 2 | valid |
Compiled 345 to 44 computations (87.2% saved)
adjust: 53.0ms (35.1% of total)ival-mult: 32.0ms (21.2% of total)ival-exp: 23.0ms (15.2% of total)const: 17.0ms (11.3% of total)ival-sub: 13.0ms (8.6% of total)ival-cos: 8.0ms (5.3% of total)ival-neg: 2.0ms (1.3% of total)ival-sinh: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(cos.f64 re) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(neg.f64 im) |
(sinh.f64 (neg.f64 im)) |
(*.f64 (*.f64 im im) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg 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 (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
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))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* -1 (cos re)) |
(* 1/2 (cos re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(* -1/3 (pow im 2)) |
(* -1/3 im) |
(* im (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/60 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/2520 (pow im 2)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/60 im) |
(* im (- (* -1/2520 (pow im 2)) 1/60)) |
(- (exp (neg im)) (exp im)) |
(* -1/3 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/2520 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | im | @ | inf | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im)) |
| 5.0ms | im | @ | -inf | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im)) |
| 4.0ms | im | @ | 0 | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im)) |
| 3.0ms | re | @ | 0 | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im)) |
| 2.0ms | re | @ | inf | ((* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (neg im) (sinh (neg im)) (* (* im im) -1/3) (* (- (* (* im im) -1/3) 2) im) (* (- (* -1/60 (* im im)) 1/3) im) (* -1/60 (* im im)) (* (* (- (* -1/60 (* im im)) 1/3) im) im) (* -1/2520 (* im im)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* (- (* -1/2520 (* im im)) 1/60) im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 1090 |
| 1 | 826 | 928 |
| 2 | 3212 | 894 |
| 3 | 7672 | 894 |
| 0 | 8029 | 850 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg 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 (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
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))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* -1 (cos re)) |
(* 1/2 (cos re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(* -1/3 (pow im 2)) |
(* -1/3 im) |
(* im (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/60 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* -1/2520 (pow im 2)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/60 im) |
(* im (- (* -1/2520 (pow im 2)) 1/60)) |
(- (exp (neg im)) (exp im)) |
(* -1/3 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/60 (pow im 4)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* -1/2520 (pow im 3)) |
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (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 (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #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 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.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)))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #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 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.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 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow re 2)) 1) |
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #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 (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* -1 (cos re)) |
(neg.f64 (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im) |
(* -2 (* im (cos re))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64))) im) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) im)) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal -1/3 binary64) im) im #s(literal -2 binary64)))) im) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(* -1/3 (pow im 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(* -1/3 im) |
(*.f64 #s(literal -1/3 binary64) im) |
(* im (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(* -1/60 (pow im 2)) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(* -1/60 im) |
(*.f64 #s(literal -1/60 binary64) im) |
(* im (- (* -1/2520 (pow im 2)) 1/60)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/3 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) |
(* -1/60 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 3) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 3 binary64))) |
(* -1/60 (pow im 4)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64)) |
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))) |
(* -1/2520 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 6 binary64))) |
(* -1/2520 (pow im 3)) |
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 3 binary64))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 283 |
| 0 | 81 | 276 |
| 1 | 254 | 261 |
| 2 | 1544 | 261 |
| 0 | 8292 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(cos.f64 re) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(neg.f64 (cos.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(neg.f64 im) |
(sinh.f64 (neg.f64 im)) |
(*.f64 (*.f64 im im) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sinh.f64 (neg.f64 im))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (neg.f64 im))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) (sinh.f64 (neg.f64 im))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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) (cosh.f64 im)))) |
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(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 (sinh.f64 im)) |
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im))) |
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (sinh.f64 im))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) im) im) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/3 binary64)) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/3 binary64))) |
(*.f64 im (*.f64 #s(literal -1/3 binary64) im)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64)))) |
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (*.f64 im im) #s(literal -2/3 binary64) #s(literal 4 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) |
(*.f64 im (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) im) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 #s(literal -1/60 binary64) im) im) |
(*.f64 #s(literal -1/60 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/60 binary64)) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/60 binary64))) |
(*.f64 im (*.f64 #s(literal -1/60 binary64) im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) |
(*.f64 im (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/216000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (fma.f64 (*.f64 im im) #s(literal -1/180 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/2520 binary64))) |
(*.f64 im (*.f64 #s(literal -1/2520 binary64) im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)))) |
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(*.f64 im (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) im)) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64)))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64)) im) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64)) im) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3600 binary64))) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal 1/60 binary64))) |
(/.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/16003008000 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/216000 binary64))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)))) |
Compiled 14 601 to 2 057 computations (85.9% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 15 | 481 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 471 | 17 | 488 |
| Status | Accuracy | Program |
|---|---|---|
| 13.6% | (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))))) #s(literal 1/2 binary64)) | |
| 71.5% | (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) | |
| ▶ | 48.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
| 65.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| 63.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| 60.4% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) | |
| 59.7% | (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) | |
| ▶ | 66.1% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
| 63.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| 57.5% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) | |
| ▶ | 83.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im)) | |
| ✓ | 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| ▶ | 42.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
| 42.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) | |
| 40.8% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) | |
| ▶ | 33.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Compiled 1 094 to 723 computations (33.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) | |
| cost-diff | 4 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) | |
| cost-diff | 24 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) | |
| cost-diff | 0 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| 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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) | |
| cost-diff | 0 | (neg.f64 im) | |
| cost-diff | 0 | #s(approx (* (neg (cos re)) im) (neg.f64 im)) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) | |
| cost-diff | 0 | (cos.f64 re) | |
| cost-diff | 0 | (*.f64 (cos.f64 re) im) | |
| cost-diff | 0 | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 1 | (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 502 |
| 0 | 105 | 474 |
| 1 | 203 | 472 |
| 2 | 558 | 466 |
| 3 | 2141 | 428 |
| 0 | 9236 | 428 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (cos.f64 re) im) |
(cos.f64 re) |
re |
im |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(*.f64 im im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
(neg.f64 im) |
im |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
#s(literal 1/24 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
im |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
#s(literal 2 binary64) |
(cosh.f64 im) |
im |
(exp.f64 im) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
| Outputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re)) |
(*.f64 (cos.f64 re) im) |
(cos.f64 re) |
re |
im |
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) |
(*.f64 im im) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
(neg.f64 im) |
im |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (neg.f64 im))) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(*.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (neg.f64 im)) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
im |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
#s(literal -1/2520 binary64) |
(*.f64 im im) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 (sinh.f64 (neg.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 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 im) |
im |
(exp.f64 im) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.014003759768442016 | (pow.f64 (exp.f64 im) #s(literal -2 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) | |
| accuracy | 0.7421833719124419 | (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) | |
| accuracy | 0.8437438074906174 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| accuracy | 0.046875 | (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) | |
| accuracy | 0.07421875 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) | |
| accuracy | 0.8695933443068138 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| accuracy | 11.3400779064489 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) | |
| accuracy | 0.0859375 | (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) | |
| accuracy | 1.0569775435491737 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) | |
| accuracy | 12.016128016441305 | #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 1.0569775435491737 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) | |
| accuracy | 11.139755326427917 | #s(approx (* (neg (cos re)) im) (neg.f64 im)) | |
| accuracy | 0.0 | (cos.f64 re) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) | |
| accuracy | 0.03515625 | (*.f64 (cos.f64 re) im) | |
| accuracy | 0.9098046788699667 | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| 102.0ms | 66× | 1 | valid |
| 80.0ms | 54× | 2 | valid |
| 63.0ms | 129× | 0 | exit |
| 3.0ms | 7× | 0 | valid |
Compiled 383 to 55 computations (85.6% saved)
ival-exp: 50.0ms (24% of total)ival-mult: 44.0ms (21.1% of total)const: 41.0ms (19.7% of total)adjust: 29.0ms (13.9% of total)ival-sub: 10.0ms (4.8% of total)ival-pow: 9.0ms (4.3% of total)ival-add: 8.0ms (3.8% of total)ival-cos: 6.0ms (2.9% of total)ival-cosh: 4.0ms (1.9% of total)ival-div: 3.0ms (1.4% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-sinh: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (cos.f64 re) im) |
(cos.f64 re) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
(neg.f64 im) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
| Outputs |
|---|
(* im (- (* -1/6 (pow im 2)) 1)) |
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1)))))))) |
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
im |
(+ im (* -1/2 (* im (pow re 2)))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2)))))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 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 (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
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))) |
(* 1/24 (pow re 2)) |
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* im (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* -1 (cos re)) |
(* 1/2 (cos re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/2520 (pow im 2)) |
(* -2/3 im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(+ 1 (* -2 im)) |
(+ 1 (* im (- (* 2 im) 2))) |
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2))) |
(* -1/6 (* (pow im 3) (cos re))) |
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re)))) |
(- (exp (neg im)) (exp im)) |
(* -1/2520 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/ 1 (pow (exp im) 2)) |
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | im | @ | -inf | ((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 7.0ms | im | @ | inf | ((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 5.0ms | im | @ | 0 | ((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 3.0ms | re | @ | inf | ((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 3.0ms | re | @ | -inf | ((* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) im) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) 2) im) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (* 1/24 (* re re)) (* (- (* (* (- (* -1/2520 (* im im)) 1/60) im) im) 1/3) (* im im)) (* -1/2520 (* im im)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (pow (exp im) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 1199 |
| 1 | 941 | 1076 |
| 2 | 3515 | 1003 |
| 0 | 8334 | 952 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* im (- (* -1/6 (pow im 2)) 1)) |
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1)))))))) |
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
im |
(+ im (* -1/2 (* im (pow re 2)))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2)))))) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 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 (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
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))) |
(* 1/24 (pow re 2)) |
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* im (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* -1 (cos re)) |
(* 1/2 (cos re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/2520 (pow im 2)) |
(* -2/3 im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(+ 1 (* -2 im)) |
(+ 1 (* im (- (* 2 im) 2))) |
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2))) |
(* -1/6 (* (pow im 3) (cos re))) |
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re)))) |
(- (exp (neg im)) (exp im)) |
(* -1/2520 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/ 1 (pow (exp im) 2)) |
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
| Outputs |
|---|
(* im (- (* -1/6 (pow im 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
(+ (* -1/2 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/24 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)) |
(+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/24 (* im (- (* -1/6 (pow im 2)) 1)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 im (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (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 (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #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 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.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)))) |
im |
(+ im (* -1/2 (* im (pow re 2)))) |
(fma.f64 (*.f64 (*.f64 re re) im) #s(literal -1/2 binary64) im) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* 1/24 (* im (pow re 2)))))) |
(fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im) |
(+ im (* (pow re 2) (+ (* -1/2 im) (* (pow re 2) (+ (* -1/720 (* im (pow re 2))) (* 1/24 im)))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 re re) im) #s(literal -1/2 binary64) im)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow re 2))) |
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) |
(fma.f64 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #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 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.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 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow re 2)) 1) |
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)) |
(* 1/24 (pow re 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
(* im (* (cos re) (- (* -1/6 (pow im 2)) 1))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(* im (cos re)) |
(*.f64 (cos.f64 re) im) |
(cos re) |
(cos.f64 re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* -1 (cos re)) |
(neg.f64 (cos.f64 re)) |
(* 1/2 (cos re)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* -1/3 (pow im 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* -2/3 im) |
(*.f64 #s(literal -2/3 binary64) im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(*.f64 (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(*.f64 (fma.f64 (*.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5207/7560 binary64) (*.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im) |
(+ 1 (* -2 im)) |
(fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* 2 im) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)) im #s(literal 1 binary64)) |
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im) #s(literal 2 binary64)) im #s(literal 1 binary64)) |
(* -1/6 (* (pow im 3) (cos re))) |
(*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re)) |
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re)))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/2520 (pow im 7)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/2520 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)))) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im)))) |
(/ 1 (pow (exp im) 2)) |
(exp.f64 (*.f64 #s(literal -2 binary64) im)) |
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) |
(*.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 3 binary64))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 7 binary64))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 357 |
| 0 | 105 | 353 |
| 1 | 337 | 285 |
| 2 | 2201 | 285 |
| 0 | 8930 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (cos.f64 re) im) |
(cos.f64 re) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (neg (cos re)) im) (neg.f64 im)) |
(neg.f64 im) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (cos.f64 re)) im) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im) (cos.f64 re)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) (*.f64 im (cos.f64 re))) |
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))) |
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)))) |
(*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 im (cos.f64 re)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 im (cos.f64 re)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im (cos.f64 re)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 im (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 im (cos.f64 re))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))))) |
(/.f64 (*.f64 (*.f64 im (cos.f64 re)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 im im))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (cos.f64 re)) im (*.f64 (neg.f64 im) (cos.f64 re))) |
(fma.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im) (*.f64 (neg.f64 im) (cos.f64 re))) |
(fma.f64 (*.f64 (*.f64 im (cos.f64 re)) (*.f64 im im)) #s(literal -1/6 binary64) (*.f64 (neg.f64 im) (cos.f64 re))) |
(fma.f64 (*.f64 (*.f64 im (cos.f64 re)) im) (*.f64 #s(literal -1/6 binary64) im) (*.f64 (neg.f64 im) (cos.f64 re))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) im (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (cos.f64 re) (*.f64 (neg.f64 im) (cos.f64 re))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (*.f64 im (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re))) |
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im))) |
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im))) |
(fma.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)) (*.f64 (*.f64 (*.f64 im (cos.f64 re)) #s(literal -1/6 binary64)) (*.f64 im im))) |
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(fma.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (exp.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (cosh.f64 im) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (/.f64 (sinh.f64 (neg.f64 im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 im)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 (neg.f64 im)))) |
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) im) |
(pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (*.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (neg.f64 (exp.f64 im))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (neg.f64 (exp.f64 im))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (exp.f64 im)) |
(/.f64 (fabs.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))) (exp.f64 im)) |
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))) (exp.f64 im)) |
(/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 im)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) |
(fma.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) |
(fma.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) |
(sqrt.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(fabs.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (*.f64 im #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (+.f64 im im) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) im)) |
(+.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) im)) (sinh.f64 (*.f64 #s(literal -2 binary64) im))) |
Compiled 20 454 to 2 221 computations (89.1% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 12 | 521 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 515 | 23 | 538 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| 48.2% | (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) | |
| 48.2% | (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| ▶ | 71.5% | (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
| 47.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) | |
| ▶ | 99.1% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
| 66.1% | (*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) | |
| 65.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| 63.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ▶ | 66.1% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
| ✓ | 66.1% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
| 63.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ✓ | 83.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| 59.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| 60.4% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| 57.5% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) | |
| 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im)) | |
| ✓ | 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| ▶ | 42.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
| 42.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) | |
| 33.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) | |
| ▶ | 40.8% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
| ✓ | 33.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Compiled 1 401 to 968 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) | |
| cost-diff | 0 | #s(approx (cos re) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) | |
| cost-diff | 4 | (*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) | |
| cost-diff | 0 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| 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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| cost-diff | 0 | #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) | |
| 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)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 532 |
| 0 | 117 | 528 |
| 1 | 212 | 526 |
| 2 | 501 | 524 |
| 3 | 1762 | 512 |
| 0 | 8710 | 512 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
#s(literal 1/2 binary64) |
(cos.f64 re) |
re |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
#s(literal 2 binary64) |
(cosh.f64 im) |
im |
(exp.f64 im) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) |
(*.f64 #s(literal -2/3 binary64) im) |
#s(literal -2/3 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
im |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re) |
(*.f64 #s(literal 1/24 binary64) re) |
#s(literal 1/24 binary64) |
re |
#s(literal 1/2 binary64) |
(*.f64 re re) |
#s(literal 1 binary64) |
im |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(*.f64 #s(literal -1/2520 binary64) im) |
#s(literal -1/2520 binary64) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
(*.f64 im im) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
#s(approx (cos re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(literal 2 binary64) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -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 |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) |
(*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 im)) |
(*.f64 (cosh.f64 im) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 im) |
im |
(exp.f64 im) |
(pow.f64 (exp.f64 im) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) |
(*.f64 #s(literal -2/3 binary64) im) |
#s(literal -2/3 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
#s(approx (* (neg (cos re)) im) (*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im)) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) im) |
im |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 re #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(literal -1 binary64) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(*.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
(neg.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
#s(approx (cos re) (fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re) |
(*.f64 #s(literal 1/24 binary64) re) |
#s(literal 1/24 binary64) |
re |
#s(literal 1/2 binary64) |
(*.f64 re re) |
#s(literal 1 binary64) |
im |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(*.f64 #s(literal -1/2520 binary64) im) |
#s(literal -1/2520 binary64) |
im |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
(*.f64 im im) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im))) |
#s(approx (cos re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sinh.f64 (neg.f64 im)) | |
| accuracy | 0.0 | (neg.f64 im) | |
| accuracy | 0.03515625 | (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) | |
| accuracy | 11.340237830301607 | #s(approx (cos re) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) | |
| accuracy | 0.07421875 | (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) | |
| accuracy | 0.8695933443068138 | #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) | |
| accuracy | 11.3400779064489 | #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0625 | (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) | |
| accuracy | 0.18359375 | (*.f64 #s(literal 1/24 binary64) re) | |
| accuracy | 1.0569775435491737 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) | |
| accuracy | 12.016128016441305 | #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) re) | |
| accuracy | 1.0569775435491737 | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) | |
| accuracy | 4.011197904708927 | (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) | |
| accuracy | 11.890847860563056 | #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) | |
| accuracy | 0.17578125 | (*.f64 #s(literal -2/3 binary64) im) | |
| accuracy | 0.8437438074906174 | (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) | |
| accuracy | 1.0827174939229316 | #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) |
| 73.0ms | 54× | 2 | valid |
| 61.0ms | 129× | 0 | exit |
| 61.0ms | 66× | 1 | valid |
| 22.0ms | 7× | 0 | valid |
Compiled 395 to 58 computations (85.3% saved)
ival-mult: 51.0ms (31.5% of total)ival-exp: 29.0ms (17.9% of total)const: 20.0ms (12.4% of total)adjust: 19.0ms (11.7% of total)ival-sub: 14.0ms (8.6% of total)ival-pow: 7.0ms (4.3% of total)ival-cos: 6.0ms (3.7% of total)ival-add: 5.0ms (3.1% of total)ival-cosh: 4.0ms (2.5% of total)ival-div: 3.0ms (1.9% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-sinh: 1.0ms (0.6% 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)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
#s(approx (cos re) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) |
(*.f64 #s(literal -2/3 binary64) im) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/24 binary64) re) |
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(neg.f64 im) |
(sinh.f64 (neg.f64 im)) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (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 (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(* 1/2 re) |
(* 1/24 re) |
(* 1/24 (pow re 2)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (- 1/2 (/ 1 (pow re 2)))) |
(* -1 (cos re)) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* im (- (* 1/2 (pow re 2)) 1)) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(* -2/3 im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/2520 (pow im 2)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(- (exp (neg im)) (exp im)) |
(* -1/2520 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 140.0ms | im | @ | 0 | ((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im))) |
| 5.0ms | im | @ | inf | ((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im))) |
| 5.0ms | im | @ | -inf | ((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im))) |
| 3.0ms | re | @ | -inf | ((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im))) |
| 3.0ms | re | @ | inf | ((* (* 1/2 (cos re)) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))))) (* 1/2 (cos re)) (cos re) (* (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2)))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (- (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) 2) im) (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (* (cos re) (* 2 (sinh (neg im)))) (cos re) (* 2 (sinh (neg im))) (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (* -2/3 im) (* 1/2 re) (* 1/24 re) (* (* 1/24 re) re) (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) (* (* -1/2520 im) im) (neg im) (sinh (neg im))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 1250 |
| 1 | 928 | 1077 |
| 2 | 3512 | 1038 |
| 0 | 8153 | 991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(+ (* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (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 (neg im)) (exp im))) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(* -1 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
-1 |
(- (* 1/2 (pow re 2)) 1) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(* 1/2 re) |
(* 1/24 re) |
(* 1/24 (pow re 2)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(* 1/2 (cos re)) |
(cos re) |
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) |
(* -1 (* im (cos re))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (- 1/2 (/ 1 (pow re 2)))) |
(* -1 (cos re)) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(* -2 im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(* im (- (* 1/2 (pow re 2)) 1)) |
(* -2 (* im (cos re))) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(* -2/3 im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(* -1/3 (pow im 2)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(* -1/2520 (pow im 2)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(- (exp (neg im)) (exp im)) |
(* -1/2520 (pow im 7)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(* -1/2520 (pow im 6)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(- (exp (* -1 im)) (exp im)) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
| Outputs |
|---|
(* 1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/2 (- (exp (neg im)) (/ 1 (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 (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #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 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/48 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.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 |
#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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #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 (-.f64 (*.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 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64))) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/2 (- (exp (neg im)) (exp im))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #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 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.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 im) |
(neg.f64 im) |
(+ (* -1 im) (* 1/2 (* im (pow re 2)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) |
(fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)) |
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (pow re 2)) 1) |
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (exp (neg im)) (/ 1 (exp (neg im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(- (+ (exp (neg im)) (* -1/2 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))) (/ 1 (exp (neg im)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* 1/24 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(- (+ (exp (neg im)) (* (pow re 2) (+ (* -1/2 (- (exp (neg im)) (/ 1 (exp (neg im))))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (- (exp (neg im)) (/ 1 (exp (neg im)))))) (* 1/24 (- (exp (neg im)) (/ 1 (exp (neg im)))))))))) (/ 1 (exp (neg im)))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(* 1/2 re) |
(*.f64 #s(literal 1/2 binary64) re) |
(* 1/24 re) |
(*.f64 #s(literal 1/24 binary64) re) |
(* 1/24 (pow re 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
(* 1/2 (* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 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 (neg im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(* -1 (* im (cos re))) |
(*.f64 (neg.f64 (cos.f64 re)) im) |
(* 1/2 (* im (pow re 2))) |
(*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) im) |
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im))) |
(*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re) |
(* 1/2 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal 1/2 binary64)) |
(* (pow re 2) (- 1/2 (/ 1 (pow re 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re) |
(* -1 (cos re)) |
(neg.f64 (cos.f64 re)) |
(* (cos re) (- (exp (neg im)) (/ 1 (exp (neg im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) |
(*.f64 (fma.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (cos.f64 re))) im) |
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im) |
(* -2 im) |
(*.f64 #s(literal -2 binary64) im) |
(* im (- (* -1/3 (pow im 2)) 2)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(* im (- (* 1/2 (pow re 2)) 1)) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(* -2 (* im (cos re))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im) |
(* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re))))) |
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))) im) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re))))))) |
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im)) |
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re))))))))) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im) |
(* -2/3 im) |
(*.f64 #s(literal -2/3 binary64) im) |
(* im (- (* 7/9 (pow im 2)) 2/3)) |
(*.f64 (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64)) im) |
(* im (- (* (pow im 2) (+ 7/9 (* -403/540 (pow im 2)))) 2/3)) |
(*.f64 (fma.f64 (*.f64 #s(literal 7/9 binary64) im) im (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -403/540 binary64)) #s(literal 2/3 binary64))) im) |
(* im (- (* (pow im 2) (+ 7/9 (* (pow im 2) (- (* 5207/7560 (pow im 2)) 403/540)))) 2/3)) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5207/7560 binary64) (*.f64 im im)) #s(literal 403/540 binary64)) (-.f64 (*.f64 #s(literal 7/9 binary64) (*.f64 im im)) #s(literal 2/3 binary64))) im) |
(* -1/3 (pow im 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 im im)) |
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) |
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(* -1/2520 (pow im 2)) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(* im (- (* -1/6 (pow im 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im) #s(literal 1 binary64)) im) |
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (*.f64 im im)) #s(literal 1 binary64)) im) |
(- (exp (neg im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1/2520 (pow im 7)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(/ (- (exp (neg im)) (/ 1 (exp (neg im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im)))) |
(* -1/2520 (pow im 6)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64)) |
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)))) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(- (exp (* -1 im)) (exp im)) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal -1/2520 binary64))) (pow.f64 im #s(literal 7 binary64))) |
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 im im))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 7 binary64))) |
(* (cos re) (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) |
(/ (- (exp (* -1 im)) (/ 1 (exp (* -1 im)))) (+ (* (exp im) (+ (exp im) (/ 1 (exp im)))) (/ 1 (pow (exp im) 2)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) im)))) |
(* 1/2 (- (exp (* -1 im)) (/ 1 (exp (* -1 im))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 397 |
| 0 | 117 | 393 |
| 1 | 346 | 377 |
| 2 | 2098 | 377 |
| 0 | 8224 | 377 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(cos.f64 re) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))) |
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
(*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im) |
(neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) |
#s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) |
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) |
#s(approx (cos re) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) |
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) |
(*.f64 #s(literal -2/3 binary64) im) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/24 binary64) re) |
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(neg.f64 im) |
(sinh.f64 (neg.f64 im)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 1/2 binary64)) (cos.f64 re)) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) |
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))) |
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))))) |
(*.f64 (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))) |
(*.f64 (cos.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 re))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 re)))) |
(cos.f64 (neg.f64 (neg.f64 re))) |
(cos.f64 (neg.f64 re)) |
(cos.f64 re) |
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (sin.f64 re))) |
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) (neg.f64 (-.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
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(/.f64 (fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) |
(neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 im))) |
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) |
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 im))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (sinh.f64 (neg.f64 im))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (sinh.f64 (neg.f64 im))) |
(-.f64 (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))))) |
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)))) |
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) |
(+.f64 (cosh.f64 im) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))) |
#s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) |
(*.f64 #s(literal -2/3 binary64) im) |
(*.f64 im #s(literal -2/3 binary64)) |
(log.f64 (pow.f64 (exp.f64 im) #s(literal -2/3 binary64))) |
(*.f64 re #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/24 binary64) re) |
(*.f64 re #s(literal 1/24 binary64)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 re))) re) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) re)) re) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 re)) (neg.f64 re)) |
(*.f64 (*.f64 re re) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) re) re) |
(*.f64 #s(literal 1/24 binary64) (*.f64 re re)) |
(*.f64 re (fabs.f64 (*.f64 #s(literal 1/24 binary64) re))) |
(*.f64 re (*.f64 #s(literal 1/24 binary64) re)) |
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/576 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re))) |
(fabs.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) |
(*.f64 (neg.f64 im) (*.f64 (neg.f64 im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) |
(*.f64 im (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 im im)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 im im) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/9 binary64)))) |
(log.f64 (pow.f64 (exp.f64 im) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im))) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im)) |
(*.f64 (*.f64 im im) #s(literal -1/2520 binary64)) |
(*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) |
(*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) |
(*.f64 im (*.f64 #s(literal -1/2520 binary64) im)) |
(log.f64 (pow.f64 (exp.f64 im) (*.f64 #s(literal -1/2520 binary64) im))) |
(*.f64 #s(literal -1 binary64) im) |
(*.f64 im #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 im im)))) im) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 im im)) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im)) |
(/.f64 (neg.f64 (*.f64 im im)) im) |
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 im im)))) |
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im)) |
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im (neg.f64 im))) |
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im)) |
(/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 im im))) |
(/.f64 (*.f64 im im) (neg.f64 im)) |
(neg.f64 im) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))) |
(-.f64 (log.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im)))) |
(-.f64 (/.f64 #s(literal 0 binary64) im) im) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) im) |
(-.f64 #s(literal 0 binary64) im) |
(+.f64 (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)))) |
(log.f64 (exp.f64 (neg.f64 im))) |
(*.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 im)) |
(neg.f64 (sinh.f64 im)) |
(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im))) |
(-.f64 (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (cosh.f64 im)) (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (sinh.f64 im))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im))) |
(+.f64 (/.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal -2 binary64))) |
Compiled 12 601 to 1 740 computations (86.2% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 6 | 361 |
| Fresh | 3 | 11 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 360 | 24 | 384 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| 99.1% | (*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) | |
| 48.2% | (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) | |
| 47.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) | |
| ✓ | 99.1% | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
| 71.5% | (*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) | |
| 65.7% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) | |
| 63.8% | (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ✓ | 66.1% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
| 63.8% | (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) | |
| ✓ | 83.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
| 59.7% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| 60.4% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) | |
| 57.5% | #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) | |
| 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im)) | |
| ✓ | 50.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| ✓ | 42.6% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
| 40.8% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) | |
| 42.7% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) | |
| 33.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) | |
| ✓ | 40.8% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
| 12.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) | |
| ✓ | 33.0% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
| 48.4% | #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
Compiled 2 055 to 810 computations (60.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 #s(literal -2 binary64)) im)) (*.f64 #s(approx (/ (* 2 (sinh (neg im))) (+ (* (* 2 (cosh im)) (exp im)) (pow (exp im) -2))) (*.f64 #s(literal -2/3 binary64) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (exp.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))))) im)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))) (*.f64 (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)) (*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re)))))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
6 calls:
| 14.0ms | im |
| 12.0ms | (cos.f64 re) |
| 11.0ms | re |
| 10.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 8.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | re |
| 99.9% | 1 | im |
| 99.9% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 99.9% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 99.9% | 1 | (cos.f64 re) |
| 99.9% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
6 calls:
| 62.0ms | im |
| 8.0ms | re |
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 8.0ms | (cos.f64 re) |
| 6.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | re |
| 98.0% | 3 | im |
| 99.9% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 97.0% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 97.0% | 2 | (cos.f64 re) |
| 92.7% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
6 calls:
| 10.0ms | re |
| 7.0ms | im |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 6.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 2 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 90.1% | 4 | im |
| 74.2% | 3 | re |
| 79.5% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 79.5% | 3 | (cos.f64 re) |
| 95.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) |
5 calls:
| 10.0ms | im |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 6.0ms | (cos.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 5.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 77.5% | 2 | (cos.f64 re) |
| 66.1% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 73.2% | 4 | im |
| 77.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 26 to 28 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 #s(approx (* (cos re) im) (fma.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))) (*.f64 re re) im)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im))) |
3 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 5.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 75.2% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 75.2% | 2 | (cos.f64 re) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) #s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (*.f64 (*.f64 im (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 re re)) #s(literal -1/2 binary64))) re) re)))) |
(*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
5 calls:
| 7.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 4.0ms | im |
| 4.0ms | re |
| 4.0ms | (cos.f64 re) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 4 | im |
| 63.2% | 2 | re |
| 68.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 71.3% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 71.3% | 3 | (cos.f64 re) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) re) re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im)) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
3 calls:
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 3.0ms | (cos.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 69.4% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 69.4% | 3 | (cos.f64 re) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))) |
3 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (cos.f64 re) |
| 2.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 67.1% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 67.1% | 2 | (cos.f64 re) |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) |
6 calls:
| 6.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 2.0ms | im |
| 2.0ms | re |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 2.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 2 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 40.8% | 1 | re |
| 50.5% | 2 | im |
| 57.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 46.8% | 3 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 46.8% | 3 | (cos.f64 re) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
1 calls:
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
5 calls:
| 2.0ms | im |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | (cos.f64 re) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 1.0ms | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.5% | 2 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 42.5% | 2 | (cos.f64 re) |
| 40.8% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 40.8% | 1 | im |
| 42.5% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 26 to 28 computations (-7.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
| Outputs |
|---|
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
6 calls:
| 34.0ms | re |
| 1.0ms | im |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 1.0ms | (cos.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.0% | 1 | im |
| 33.0% | 1 | (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 33.0% | 1 | re |
| 33.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 33.0% | 1 | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
| 33.0% | 1 | (cos.f64 re) |
Compiled 27 to 30 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.433747213824207e-5 | +inf |
| 0.0ms | -1.7227156123059557 | -4.762309029904266e-7 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.433747213824207e-5 | +inf |
| 0.0ms | -4.762309029904266e-7 | -1.1349673978422459e-9 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.433747213824207e-5 | +inf |
| 0.0ms | -4.762309029904266e-7 | -1.1349673978422459e-9 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.09111868028157954 | -0.02571319812505048 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.09111868028157954 | -0.02571319812505048 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.999999809546535 | 0.9999999993548113 |
| 0.0ms | -0.02571319812505048 | 0.017656883527654425 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999993548113 | 0.9999999999971865 |
| 0.0ms | -0.02571319812505048 | 0.017656883527654425 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.09111868028157954 | -0.02571319812505048 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7227156123059557 | -4.762309029904266e-7 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7227156123059557 | -4.762309029904266e-7 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.09111868028157954 | -0.02571319812505048 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 877 |
| 1 | 237 | 877 |
| 2 | 444 | 877 |
| 3 | 1146 | 857 |
| 4 | 3941 | 857 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 (sinh.f64 (neg.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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9007198354021067/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 562949953139837/562949953421312 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
| Outputs |
|---|
(*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #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 -1 binary64)) (*.f64 (sinh.f64 (neg.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 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 (sinh.f64 (neg.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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #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 -944473296573929/2361183241434822606848 binary64)) (*.f64 (sinh.f64 (neg.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 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -944473296573929/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #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 -944473296573929/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (*.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 (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (neg.f64 (cos.f64 re)) im)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im)) #s(literal 2 binary64)) im)))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) im)))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 9007198354021067/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(if (or (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (not (<=.f64 (cos.f64 re) #s(literal 9007198354021067/9007199254740992 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 562949953139837/562949953421312 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))))) |
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) (if (<=.f64 (cos.f64 re) #s(literal 562949953139837/562949953421312 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im)))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (* (cos re) im) (+ (* (* im im) -1/6) -1)) (*.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.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 -1 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re im) (neg.f64 im))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im im) (neg.f64 im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) 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 -1 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 (neg.f64 im) im) im))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (*.f64 im #s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))) #s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im)))) |
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
#s(approx (* (* (cos re) (* 2 (sinh (neg im)))) 1/2) #s(approx (* (neg (cos re)) im) (neg.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 381 |
| 1 | 387 | 349 |
| 2 | 1286 | 341 |
| 3 | 5237 | 320 |
| 0 | 8363 | 297 |
| 0 | 298 | 1199 |
| 1 | 941 | 1076 |
| 2 | 3515 | 1003 |
| 0 | 8334 | 952 |
| 0 | 66 | 357 |
| 0 | 105 | 353 |
| 1 | 337 | 285 |
| 2 | 2201 | 285 |
| 0 | 8930 | 285 |
| 0 | 75 | 397 |
| 0 | 117 | 393 |
| 1 | 346 | 377 |
| 2 | 2098 | 377 |
| 0 | 8224 | 377 |
| 0 | 258 | 1090 |
| 1 | 826 | 928 |
| 2 | 3212 | 894 |
| 3 | 7672 | 894 |
| 0 | 8029 | 850 |
| 0 | 302 | 1250 |
| 1 | 928 | 1077 |
| 2 | 3512 | 1038 |
| 0 | 8153 | 991 |
| 0 | 11 | 30 |
| 0 | 18 | 27 |
| 1 | 64 | 27 |
| 2 | 420 | 25 |
| 0 | 5001 | 25 |
| 1× | fuel |
| 1× | iter 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 375 to 641 computations (53.4% saved)
(negabs im)
(abs re)
Compiled 1 922 to 464 computations (75.9% saved)
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