
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 12 to 10 computations (16.7% saved)
| 2.4s | 7 964× | 1 | valid |
| 53.0ms | 292× | 0 | valid |
ival-acos: 1.1s (55% of total)adjust: 627.0ms (32.1% of total)ival-sub: 146.0ms (7.5% of total)ival-<=: 75.0ms (3.8% of total)exact: 15.0ms (0.8% of total)ival-and: 13.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 0 | 1 | 0 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 96.0ms | 500× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 35 to 20 computations (42.9% saved)
ival-acos: 57.0ms (75.9% of total)adjust: 10.0ms (13.3% of total)ival-sub: 6.0ms (8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 15 | 9 |
| 2 | 27 | 9 |
| 3 | 49 | 9 |
| 4 | 67 | 9 |
| 5 | 89 | 9 |
| 6 | 102 | 9 |
| 0 | 4 | 4 |
| 0 | 6 | 4 |
| 1 | 10 | 4 |
| 2 | 14 | 4 |
| 3 | 19 | 4 |
| 4 | 26 | 4 |
| 5 | 34 | 4 |
| 6 | 44 | 4 |
| 7 | 55 | 4 |
| 8 | 58 | 4 |
| 0 | 58 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
Compiled 4 to 4 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.6% | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
Compiled 4 to 4 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 9 |
| 0 | 6 | 9 |
| 1 | 10 | 9 |
| 2 | 14 | 9 |
| 3 | 19 | 9 |
| 4 | 26 | 9 |
| 5 | 34 | 9 |
| 6 | 44 | 9 |
| 7 | 55 | 9 |
| 8 | 58 | 9 |
| 0 | 58 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 60.43016835108999 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 29.0ms | 250× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 20 to 10 computations (50% saved)
ival-acos: 11.0ms (61.1% of total)ival-sub: 3.0ms (16.7% of total)adjust: 3.0ms (16.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((acos (- 1 x)) (- 1 x)) |
| 0.0ms | x | @ | -inf | ((acos (- 1 x)) (- 1 x)) |
| 0.0ms | x | @ | 0 | ((acos (- 1 x)) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 80 |
| 1 | 29 | 80 |
| 2 | 62 | 80 |
| 3 | 113 | 80 |
| 4 | 171 | 80 |
| 5 | 239 | 80 |
| 6 | 259 | 80 |
| 0 | 259 | 80 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 6 | 7 |
| 1 | 28 | 7 |
| 2 | 171 | 7 |
| 3 | 1385 | 7 |
| 0 | 9386 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 11 252 to 1 330 computations (88.2% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 354 | 9 | 363 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 354 | 10 | 364 |
| Status | Accuracy | Program |
|---|---|---|
| 3.7% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 3.7% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 5.6% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 5.6% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) |
| 5.6% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) | |
| 5.6% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) | |
| ▶ | 5.6% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | 5.6% | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 6.8% | (acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
| ▶ | 3.8% | (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
Compiled 718 to 294 computations (59.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 640 | (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| cost-diff | 640 | (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 704 | (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| cost-diff | 29312 | (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 7104 | (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 7616 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (sqrt.f64 (PI.f64)) | |
| cost-diff | 1600 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 709 |
| 0 | 92 | 693 |
| 1 | 215 | 681 |
| 2 | 826 | 576 |
| 3 | 4703 | 514 |
| 0 | 8219 | 492 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) |
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(PI.f64) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) |
| Outputs |
|---|
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (*.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) |
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) |
(PI.f64) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.971035009768442 | (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 58.50824269378027 | (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) | |
| accuracy | 58.68115771567273 | (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) | |
| accuracy | 0.30078125 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.8895295612049565 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 58.791577008981776 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| accuracy | 60.43016835108999 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.8895295612049565 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 56.92441067042614 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.8137801736458609 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 60.43016835108999 | (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 60.43016835108999 | (acos.f64 #s(approx (- 1 x) (neg.f64 x))) | |
| accuracy | 62.55111244637334 | #s(approx (- 1 x) (neg.f64 x)) |
| 412.0ms | 246× | 1 | valid |
| 3.0ms | 10× | 0 | valid |
Compiled 1 455 to 99 computations (93.2% saved)
ival-mult: 144.0ms (38.7% of total)adjust: 82.0ms (22% of total)ival-pow: 53.0ms (14.2% of total)ival-neg: 30.0ms (8.1% of total)ival-acos: 16.0ms (4.3% of total)ival-sub: 14.0ms (3.8% of total)ival-asin: 12.0ms (3.2% of total)ival-div: 9.0ms (2.4% of total)ival-add: 7.0ms (1.9% of total)ival-sqrt: 4.0ms (1.1% of total)ival-pi: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (- (* (PI) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (* 2 (- (* 1 (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* (/ 2 (PI)) (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* 2 (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (asin (- 1 x)) (acos (- 1 x)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))) (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (pow (PI) 3) (pow (asin (- 1 x)) 3)) |
| 8.0ms | x | @ | inf | ((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (- (* (PI) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (* 2 (- (* 1 (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* (/ 2 (PI)) (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* 2 (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (asin (- 1 x)) (acos (- 1 x)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))) (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (pow (PI) 3) (pow (asin (- 1 x)) 3)) |
| 8.0ms | x | @ | 0 | ((acos (- 1 x)) (- 1 x) (neg x) (acos (- 1 x)) (- 1 x) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (- (* (PI) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (* 2 (- (* 1 (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* (/ 2 (PI)) (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)))))) (* (PI) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* 2 (* (/ 2 (PI)) (+ (* 1/4 (* (PI) (PI))) (* (asin (- 1 x)) (+ (* 1/2 (PI)) (asin (- 1 x))))))) (asin (- 1 x)) (acos (- 1 x)) (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))) (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (pow (PI) 3) (pow (asin (- 1 x)) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 3268 |
| 1 | 288 | 3052 |
| 2 | 644 | 2452 |
| 3 | 1850 | 2404 |
| 4 | 6828 | 2404 |
| 0 | 8029 | 2224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(pow (asin (- 1 x)) 3) |
(pow (asin (- 1 x)) 3) |
(pow (asin (- 1 x)) 3) |
(pow (asin (- 1 x)) 3) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
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(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
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(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (- 1 x)) 3)) |
(pow (asin (- 1 x)) 3) |
(pow (asin (- 1 x)) 3) |
(pow (asin (- 1 x)) 3) |
(pow (asin (- 1 x)) 3) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (PI)))))) |
(- (* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (* 2 (- (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 2 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(* 2 (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 2 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(* 4 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (+ 1 (* -1 x))) 3)) |
(pow (asin (+ 1 (* -1 x))) 3) |
(pow (asin (+ 1 (* -1 x))) 3) |
(pow (asin (+ 1 (* -1 x))) 3) |
(pow (asin (+ 1 (* -1 x))) 3) |
| Outputs |
|---|
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)))) |
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)))) |
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)))) |
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (PI.f64)))) |
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (PI.f64)) |
(/.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (PI.f64)) |
(/.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (PI.f64)) |
(/.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (PI.f64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 4 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
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(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
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(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 299 |
| 0 | 86 | 293 |
| 1 | 340 | 278 |
| 2 | 3090 | 274 |
| 0 | 10648 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| Outputs |
|---|
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Compiled 329 946 to 15 905 computations (95.2% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 243 | 16 | 4 259 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 4 247 | 22 | 4 269 |
| Status | Accuracy | Program |
|---|---|---|
| 3.7% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.4% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 7.8% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| 3.7% | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 9.4% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ✓ | 3.7% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 5.6% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 9.4% | (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) | |
| 5.6% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ▶ | 9.4% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| ▶ | 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | 5.6% | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 6.8% | (acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 3.8% | (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
Compiled 1 617 to 766 computations (52.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1600 | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) | |
| cost-diff | 7104 | (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 7872 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 12864 | (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 7872 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 8704 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (sqrt.f64 (PI.f64)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 712 |
| 0 | 96 | 651 |
| 1 | 216 | 607 |
| 2 | 764 | 517 |
| 3 | 4359 | 503 |
| 0 | 8621 | 491 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 2 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) |
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(pow.f64 (PI.f64) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) |
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) |
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(pow.f64 (PI.f64) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
#s(literal 3 binary64) |
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64))) |
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 58.791577008981776 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| accuracy | 60.43016835108999 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.93359375 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 58.791577008981776 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| accuracy | 60.43016835108999 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.8895295612049565 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 1.0 | (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) | |
| accuracy | 56.92441067042614 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.8895295612049565 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 58.73784504838986 | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.8895295612049565 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 56.92441067042614 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 225.0ms | 246× | 1 | valid |
| 4.0ms | 10× | 0 | valid |
Compiled 1 469 to 104 computations (92.9% saved)
ival-mult: 57.0ms (32.1% of total)adjust: 21.0ms (11.8% of total)ival-pow: 20.0ms (11.3% of total)ival-acos: 12.0ms (6.8% of total)ival-add: 12.0ms (6.8% of total)ival-asin: 10.0ms (5.6% of total)ival-sqrt: 10.0ms (5.6% of total)ival-div: 8.0ms (4.5% of total)ival-sub: 8.0ms (4.5% of total)ival-cbrt: 7.0ms (3.9% of total)ival-pi: 4.0ms (2.3% of total)ival-neg: 4.0ms (2.3% of total)ival-fabs: 2.0ms (1.1% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (sqrt (* 2 (sqrt (PI)))) (* 2 (sqrt (PI))) (+ (* (PI) 1/2) (neg (asin (- 1 x)))) (PI) (neg (asin (- 1 x))) (asin (- 1 x)) (+ (* (sqrt (PI)) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (* (fabs (cbrt (pow (PI) 3/2))) 1/2) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (pow (cbrt (sqrt (PI))) 3) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (cbrt (pow (PI) 3/2)) (acos (- 1 x)) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))))) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))))) |
| 7.0ms | x | @ | -inf | ((+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (sqrt (* 2 (sqrt (PI)))) (* 2 (sqrt (PI))) (+ (* (PI) 1/2) (neg (asin (- 1 x)))) (PI) (neg (asin (- 1 x))) (asin (- 1 x)) (+ (* (sqrt (PI)) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (* (fabs (cbrt (pow (PI) 3/2))) 1/2) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (pow (cbrt (sqrt (PI))) 3) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (cbrt (pow (PI) 3/2)) (acos (- 1 x)) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))))) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))))) |
| 7.0ms | x | @ | inf | ((+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (sqrt (* 2 (sqrt (PI)))) (* 2 (sqrt (PI))) (+ (* (PI) 1/2) (neg (asin (- 1 x)))) (PI) (neg (asin (- 1 x))) (asin (- 1 x)) (+ (* (sqrt (PI)) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (sqrt (PI)) (* (fabs (cbrt (pow (PI) 3/2))) 1/2) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))) (pow (cbrt (sqrt (PI))) 3) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (cbrt (pow (PI) 3/2)) (acos (- 1 x)) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (+ (* (* (+ (* 1/2 (PI)) (asin (- 1 x))) (sqrt (PI))) (sqrt (PI))) (* (+ (* 2 (asin (- 1 x))) (PI)) (neg (acos (- 1 x))))))) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (PI)) (- (* (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 3552 |
| 1 | 283 | 3480 |
| 2 | 605 | 2832 |
| 3 | 1589 | 2280 |
| 4 | 5896 | 2016 |
| 0 | 8639 | 1896 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(* -1 (asin (- 1 x))) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (- 1 x)) (+ (PI) (* 2 (asin (- 1 x)))))) (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2)))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(* -1 (asin (+ 1 (* -1 x)))) |
(* -1 (asin (+ 1 (* -1 x)))) |
(* -1 (asin (+ 1 (* -1 x)))) |
(* -1 (asin (+ 1 (* -1 x)))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (sqrt (PI)) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (+ (* -1 (* (acos (+ 1 (* -1 x))) (+ (PI) (* 2 (asin (+ 1 (* -1 x))))))) (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
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(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
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(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
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(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
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(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
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(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
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(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
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(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
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(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
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(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
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(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
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(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fabs.f64 (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
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(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
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(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
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(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
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(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
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(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 399 |
| 0 | 96 | 355 |
| 1 | 407 | 266 |
| 2 | 3733 | 226 |
| 0 | 10331 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(PI.f64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
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Compiled 395 554 to 16 291 computations (95.9% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 494 | 23 | 5 517 |
| Fresh | 6 | 7 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 5 504 | 35 | 5 539 |
| Status | Accuracy | Program |
|---|---|---|
| 3.7% | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.4% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 7.8% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
| 9.3% | (fma.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 3.7% | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 9.3% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.3% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ▶ | 9.4% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| ✓ | 9.4% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 3.7% | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 9.4% | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 3.7% | (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.3% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.4% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ✓ | 5.6% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 9.4% | (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 1.8% | (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ▶ | 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 1.9% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))))) | |
| 1.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 8.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))))) | |
| ✓ | 5.6% | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 6.8% | (acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 3.8% | (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
| 9.4% | #s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
Compiled 2 708 to 1 372 computations (49.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1600 | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) | |
| cost-diff | 7104 | (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 8064 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 12864 | (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) | |
| cost-diff | 1600 | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 26688 | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) | |
| cost-diff | 192 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 256 | (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 1600 | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (PI.f64)) | |
| cost-diff | 1344 | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 645 |
| 0 | 117 | 580 |
| 1 | 246 | 544 |
| 2 | 777 | 493 |
| 3 | 4766 | 487 |
| 0 | 8365 | 475 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) |
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) |
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(pow.f64 (PI.f64) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(PI.f64) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) |
(asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 2 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
#s(literal 3 binary64) |
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))) |
(sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) |
(fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(pow.f64 (PI.f64) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(PI.f64) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) |
(asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (PI.f64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 2 binary64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (PI.f64)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)))) |
(fma.f64 #s(literal 2 binary64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (PI.f64))) (PI.f64)) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 58.791577008981776 | (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) | |
| accuracy | 60.43016835108999 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.8895295612049565 | (asin.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 56.92441067042614 | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.96875 | (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 56.92441067042614 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| accuracy | 60.43016835108999 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.8137801736458609 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.8895295612049565 | (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 56.71162691191245 | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| accuracy | 1.0 | (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 1.0 | (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) | |
| accuracy | 56.92441067042614 | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 258.0ms | 246× | 1 | valid |
| 4.0ms | 10× | 0 | valid |
Compiled 1 309 to 125 computations (90.5% saved)
ival-mult: 65.0ms (31% of total)ival-pow: 36.0ms (17.2% of total)adjust: 22.0ms (10.5% of total)ival-sqrt: 19.0ms (9.1% of total)ival-acos: 12.0ms (5.7% of total)ival-add: 12.0ms (5.7% of total)ival-asin: 10.0ms (4.8% of total)ival-div: 9.0ms (4.3% of total)ival-cbrt: 7.0ms (3.3% of total)ival-sub: 6.0ms (2.9% of total)ival-neg: 6.0ms (2.9% of total)ival-pi: 2.0ms (1% of total)ival-fabs: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cbrt.f64 (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (asin.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | x | @ | 0 | ((+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (* 1/2 (sqrt (PI)))) (+ (* (/ 2 (PI)) (* (* (PI) (PI)) 1/4)) (neg (asin (- 1 x)))) (/ 2 (PI)) (PI) (* (* (PI) (PI)) 1/4) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x))))) (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (pow (cbrt (sqrt (PI))) 3/2) (pow (cbrt (sqrt (PI))) 3/2)) (+ (* (* (pow (cbrt (sqrt (PI))) 3/2) (pow (cbrt (sqrt (PI))) 3/2)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (pow (cbrt (sqrt (PI))) 3/2) (cbrt (sqrt (PI))) (pow (cbrt (sqrt (PI))) 3) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (cbrt (pow (PI) 3/2)) (sqrt (PI)) (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (asin (- 1 x)) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))))) |
| 12.0ms | x | @ | inf | ((+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (* 1/2 (sqrt (PI)))) (+ (* (/ 2 (PI)) (* (* (PI) (PI)) 1/4)) (neg (asin (- 1 x)))) (/ 2 (PI)) (PI) (* (* (PI) (PI)) 1/4) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x))))) (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (pow (cbrt (sqrt (PI))) 3/2) (pow (cbrt (sqrt (PI))) 3/2)) (+ (* (* (pow (cbrt (sqrt (PI))) 3/2) (pow (cbrt (sqrt (PI))) 3/2)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (pow (cbrt (sqrt (PI))) 3/2) (cbrt (sqrt (PI))) (pow (cbrt (sqrt (PI))) 3) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (cbrt (pow (PI) 3/2)) (sqrt (PI)) (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (asin (- 1 x)) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))))) |
| 12.0ms | x | @ | -inf | ((+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (* 1/2 (sqrt (PI)))) (+ (* (/ 2 (PI)) (* (* (PI) (PI)) 1/4)) (neg (asin (- 1 x)))) (/ 2 (PI)) (PI) (* (* (PI) (PI)) 1/4) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x))))) (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (pow (cbrt (sqrt (PI))) 3/2) (pow (cbrt (sqrt (PI))) 3/2)) (+ (* (* (pow (cbrt (sqrt (PI))) 3/2) (pow (cbrt (sqrt (PI))) 3/2)) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (pow (cbrt (sqrt (PI))) 3/2) (cbrt (sqrt (PI))) (pow (cbrt (sqrt (PI))) 3) (/ (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))))) (* (/ 2 (PI)) (* 2 (+ (* 1/2 (PI)) (asin (- 1 x)))))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (cbrt (pow (PI) 3/2)) (sqrt (PI)) (asin (- 1 x)) (- 1 x) (acos (- 1 x)) (asin (- 1 x)) (- (* 1 (* 2 (+ (* 1/2 (PI)) (asin (- 1 x))))) (* (/ 2 (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3))) (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 2408 |
| 1 | 226 | 2060 |
| 2 | 486 | 2012 |
| 3 | 1276 | 1736 |
| 4 | 5554 | 1604 |
| 0 | 8315 | 1508 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (* 1/2 (PI)) (acos (- 1 x))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (acos (- 1 x)) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (- 1 x)) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(- (* 1/2 (PI)) (asin (- 1 x))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI))))) (+ (asin (- 1 x)) (* 1/2 (PI))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(acos (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(asin (- 1 x)) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 2 (* (acos (- 1 x)) (+ (asin (- 1 x)) (* 1/2 (PI)))))) (PI)))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (* (sqrt (* (PI) (* (sqrt 1/2) (sqrt 2)))) (fabs (sqrt (PI))))) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) |
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI))) |
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI))) |
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI))) |
(- (acos (+ 1 (* -1 x))) (* 1/2 (PI))) |
(- (+ (acos (+ 1 (* -1 x))) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (+ 1 (* -1 x))) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (+ 1 (* -1 x))) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (+ (acos (+ 1 (* -1 x))) (* 1/2 (* (PI) (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(- (* 1/2 (PI)) (asin (+ 1 (* -1 x)))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(* 1/4 (/ (* (PI) (- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(acos (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(asin (+ 1 (* -1 x))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
(- (* 2 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (/ (- (* (PI) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 2 (* (acos (+ 1 (* -1 x))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))) (PI)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 363 |
| 0 | 117 | 307 |
| 1 | 446 | 200 |
| 2 | 3603 | 192 |
| 0 | 8284 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) |
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) |
(cbrt.f64 (sqrt.f64 (PI.f64))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(sqrt.f64 (PI.f64)) |
(asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(asin.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) |
| Outputs |
|---|
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Compiled 204 236 to 14 937 computations (92.7% saved)
45 alts after pruning (39 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 598 | 23 | 4 621 |
| Fresh | 9 | 16 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 4 611 | 45 | 4 656 |
| Status | Accuracy | Program |
|---|---|---|
| 3.7% | (fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 7.8% | (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| 7.8% | (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) | |
| 7.8% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))) | |
| 9.4% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 7.8% | (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
| 3.7% | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 3.7% | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ✓ | 3.7% | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 9.4% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) | |
| 3.7% | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 3.7% | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.4% | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 3.7% | (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.4% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| ✓ | 5.6% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| 9.4% | (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 1.8% | (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 3.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) #s(approx (- (* (PI) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* 2 (* (+ (* 1/2 (PI)) (asin (- 1 x))) (acos (- 1 x))))) (*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 9.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 1.9% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))))) | |
| 1.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) | |
| 8.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))))) | |
| ✓ | 5.6% | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 6.8% | (acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 3.8% | (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
| 9.4% | #s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| 9.4% | #s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) | |
| 9.4% | #s(approx (+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
Compiled 5 351 to 1 450 computations (72.9% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))) |
#s(approx (+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64)))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (neg.f64 (PI.f64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
3 calls:
| 18.0ms | x |
| 15.0ms | (-.f64 #s(literal 1 binary64) x) |
| 14.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 1 | x |
| 9.4% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 9.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))) |
#s(approx (+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 8 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (fabs.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
#s(approx (+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
3 calls:
| 11.0ms | x |
| 8.0ms | (-.f64 #s(literal 1 binary64) x) |
| 8.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 1 | x |
| 9.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 9.4% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))))))) |
| Outputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) x) |
| 3.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 9.4% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 9.4% | 1 | x |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) x) |
| 3.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 9.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 9.4% | 1 | x |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 1 | x |
| 9.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 9.4% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| 2.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.4% | 2 | (-.f64 #s(literal 1 binary64) x) |
| 9.4% | 2 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 9.4% | 2 | x |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| 1.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.8% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 6.8% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 6.8% | 1 | x |
Compiled 8 to 8 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.8% | 1 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) |
| 3.8% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 3.8% | 1 | x |
Compiled 8 to 8 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.3558014873033107e-19 | 3.690052921355461e-9 |
| 13.0ms | 160× | 1 | valid |
Compiled 207 to 208 computations (-0.5% saved)
ival-acos: 5.0ms (53.9% of total)ival-sub: 2.0ms (21.6% of total)adjust: 2.0ms (21.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 215 |
| 1 | 114 | 215 |
| 2 | 125 | 215 |
| 3 | 130 | 215 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (PI.f64))) (/.f64 #s(literal -2 binary64) (PI.f64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) |
#s(approx (+ (* (* (sqrt (sqrt (* 1/2 (sqrt (PI))))) (sqrt (sqrt (* (* (sqrt (PI)) 2) (PI))))) (* (fabs (cbrt (pow (PI) 3/2))) 1/2)) (neg (asin (- 1 x)))) (fma.f64 (*.f64 (fabs.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (+ (* (* (sqrt (* 2 (sqrt (PI)))) (sqrt (* 1/2 (sqrt (PI))))) (* (sqrt (PI)) 1/2)) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (- 1 x)))))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 2271629875608987/40564819207303340847894502572032 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) |
(acos.f64 #s(approx (- 1 x) (neg.f64 x))) |
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 299 |
| 0 | 86 | 293 |
| 1 | 340 | 278 |
| 2 | 3090 | 274 |
| 0 | 10648 | 261 |
| 0 | 14 | 80 |
| 1 | 29 | 80 |
| 2 | 62 | 80 |
| 3 | 113 | 80 |
| 4 | 171 | 80 |
| 5 | 239 | 80 |
| 6 | 259 | 80 |
| 0 | 259 | 80 |
| 0 | 67 | 2408 |
| 1 | 226 | 2060 |
| 2 | 486 | 2012 |
| 3 | 1276 | 1736 |
| 4 | 5554 | 1604 |
| 0 | 8315 | 1508 |
| 0 | 48 | 399 |
| 0 | 96 | 355 |
| 1 | 407 | 266 |
| 2 | 3733 | 226 |
| 0 | 10331 | 224 |
| 0 | 60 | 363 |
| 0 | 117 | 307 |
| 1 | 446 | 200 |
| 2 | 3603 | 192 |
| 0 | 8284 | 185 |
| 0 | 4 | 7 |
| 0 | 6 | 7 |
| 1 | 28 | 7 |
| 2 | 171 | 7 |
| 3 | 1385 | 7 |
| 0 | 9386 | 7 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 592 to 281 computations (52.5% saved)
Compiled 452 to 206 computations (54.4% saved)
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